diff --git "a/data/dm_maths/full_data_2/7635_11255.jsonl" "b/data/dm_maths/full_data_2/7635_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/7635_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 6*h - 9*h = -135. Calculate the remainder when 84 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 279*19\/57 + 756\/(-21)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofffffo. What is prob of picking 2 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 3*n**2 + 3*n - 3. Let g(f) = f - 17*f**2 - 21 + 20 + 16*f**2. Calculate -3*g(i) + y(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 323260 rounded to the nearest one thousand?\nAnswer: 323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 + -524. Let c = -4.07 + 0.07. What is the third smallest value in c, i, 3\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 39 (b) -1.51 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19631*f**6*n + 18*f**2 - 8*f*n + 36*f wrt f.\nAnswer: 2355720*f**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/308)\/(45\/(-105)*1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 209. Let n(b) = b**3 + 4*b**2 + b. Let a be n(-4). Let p be y\/(-45) + a\/18. Solve 5*r + 22 = u, -2*r - 2*u - p*u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g, -g + 35 = 5*l + 3*g. Suppose -3 = -l*p + 3. List the prime factors of (-4)\/(24\/(-15))*p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/(-16))\/((-5)\/((-45)\/6)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24295 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*f + 42 + 20, 5*f + 150 = 5*t. Let x(z) = z**2 - 3*z - 4. Let d(r) = -4*r**2 + 13*r + 17. Determine f*x(b) - 6*d(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9398.077 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/3 + 26*r**2\/3 + 169*r\/3 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -1067?\nAnswer: 34\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 6 - 21. Suppose -i*t - 74 = -2*y + 3*y, -3*y - 2*t = 170. Let m be (8\/y)\/(2\/(-3)). What is the smallest value in -5\/6, m, 1\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-393)\/1048).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9263607mg to grams.\nAnswer: 0.0009263607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1798*y**3 + 4451 wrt y?\nAnswer: 5394*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7050589 rounded to 3 decimal places?\nAnswer: 0.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeneneeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -134 + -4 + -1 + (-3)\/1. Calculate the common denominator of 109\/108 and v*1\/(-16)*-2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13318 times -22266\nAnswer: -296538588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -224*h + 218*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:57 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/871724 and 29\/60771616.\nAnswer: 425401312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 379811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) 0.3 (c) 2.7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 - -7.5. Let u = 37 + -31. Suppose u = -0*l - 2*l. Put 2\/11, l, w in descending order.\nAnswer: w, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let g(x) = -404491*x. Give h(g(y)).\nAnswer: -327225938162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - (21 + -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 775413336 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.02861494 to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -338 + 62*k + 4*k + 2*k**2 + 173 + 7*k**3 + 161 - 19*k**3 as v*k**3 + r*k**2 + j*k + w and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36 - 31)*(-3)\/(-5). Is 746466\/57 + u - 16\/(-152) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*8\/(-36))\/(68\/(-51))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -197 - 1?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -576\/12169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 4 = 6*j. Let i(h) = -7*h**3 - 2*h**2 - 2*h - 1. Let p be i(j). Let d(r) = -r**2 + 4*r + 2. Calculate d(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25813.\nAnswer: 83, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 36*b**2 + 14*b**2 + 11*b**2 + 7*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m - m + (-54 - m + 101 - 53)*(4*m - 2*m**2 - 4*m).\nAnswer: m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -71443 times 782\nAnswer: -55868426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*m**(-13\/3) assuming m is positive.\nAnswer: m**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1016 - -609. Let g = -418 - i. What is the third biggest value in 4, 3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 5, q: 10, d: 2}. What is prob of picking 1 q and 2 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/20288 and -52\/7?\nAnswer: 142016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21188739 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 13*o**2 - 7*o - 25. Let h be z(-11). Suppose -5*d + 2*d + h = 0. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -10*u**3 + 2315*u**2 - 7995*u + 3420 = 0.\nAnswer: 1\/2, 3, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*(1326\/(-3757) - (-440)\/(-544)*4\/(-10))\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 3\/8, 0.4, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308781390 by 5.\nAnswer: 61756278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*t - 1127*t + 372*t + 382*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1848 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 24087168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 + 14*c**2 - 9*c. Let h be b(6). Calculate the highest common factor of h and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -46*b + 8. Let y be s(-2). Suppose 14*w - 10*w = y. Let i = w + -7. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4936\/(-6))\/(8\/(-12)). Suppose -i = -r + 3179. Is r + 5 - (-2 + 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3485201 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwwww. Give prob of sequence wwu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-27)*61 - (225\/15 - 8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9 + 11 - 6*v - 2 - 11*v - 6. Calculate d(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (246\/24)\/((-678)\/(-2712)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 1295\/110 + -8. Which is smaller: k or -0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 2*j + 5. Suppose -4*a = 8 - 20. Let q(d) be the second derivative of 0 + 6*d - 1\/6*d**4 + 3\/2*d**2 - 1\/6*d**a. Calculate 3*b(x) - 5*q(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*j**2*v**2 + a*j**2*v - 2*j**3*v**2 + 307*j**3*v + 71*v**2 + 2*v wrt v.\nAnswer: -6*a*j**2 - 4*j**3 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*i + 2, 0 = -b - 4*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:58 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let j(b) = -b + 1. Let z be 18*3*3\/108*4. Determine z*j(f) + 5*n(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 - 9*l**2 - 8*l + 13. Let h(j) = 3*j**3 - j**2 - j + 2. Let k(u) = -2*h(u) + y(u). Give k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4862 - 4850. What is the remainder when 2867 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 1.8. Put -3\/7, 4, s, 1 in descending order.\nAnswer: 4, s, 1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879, 974, 1191, 1590, 2231, 3174?\nAnswer: 4479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*z + 5 = 12, -11*z - 7 = 7*b - 18*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -83*a**4\/6 + 3*a**3\/2 - 3*a**2 + 125*a. What is the second derivative of x(f) wrt f?\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - -0.07. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 667 = 12309. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10780039*t**3 + 19789161?\nAnswer: -32340117*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 7*b**2 + 5. Suppose 0 = -2*u - 6 + 20. Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (3 - 55) + 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5 - (-76)\/20. Solve -l - 4*l + w*u = -14, -4*u + 2 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:30 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -14 (b) -0.04 (c) 11 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-332)\/(-126) + (12\/(-2) - 1204\/1935*-10)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - -125. Let a(u) = -16*u**3 + u**2 - 1. Let p be a(-1). Calculate the highest common factor of p and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -96*v**2. Let k(p) = -4*p**2 - 2439*p. Calculate k(a(c)).\nAnswer: -36864*c**4 + 234144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 4, 3\/4, -82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 131733*l - 3556786. Give t(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -2\/11 (c) 159 (d) 0.4 (e) -1.922 (f) -0.2 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/176 in 26, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.0216058 and -0.1.\nAnswer: 0.90216058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/600 - 17*s**5\/150 - 329*s**4\/120 - 98*s**3\/3 - 4724*s**2. Find y, given that f(y) = 0.\nAnswer: -20, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1064290, -2128584, -3192878, -4257172, -5321466?\n\"Answer: -1064294*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-14))\/k)**9*(k\/(k*k**(-26)\/k)*k)\/k*k**(1\/23)*k)**16 assuming k is positive.\nAnswer: k**(-36048\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80649744 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.85 - 3.55. Let s = a + -14. What is the second smallest value in 4, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114213 - -2342?\nAnswer: -111321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1855e9 - 2?\nAnswer: -1855eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-3 + (4 - 3)). Let u be (-3)\/6*(-6)\/r. Let b(w) = -w - 1. Let x be b(-5). Solve o + 0*l = l + 1, 0 = x*o + u*l - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s + 2. Let p = -4 + 2. Let j = 8 + -6. Let c be ((-2)\/3)\/(j\/3). Let b(w) = w**2 - w - 1. What is c*m(t) + p*b(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4035 + 4035 + 15*l**4 + l**2 + 2*l**4 + 2*l**4 - 3*l**4 + (-48*l + 48*l + l**2)*(-2 - 2*l**2 + 2).\nAnswer: 14*l**4 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*c - 1115 = 0, -2*t + 3*c + 2270 = c. Let n = t - 513. Suppose -8*p + n = -254. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*s - 15*s + 3 - 19*s)*(2 - 2 + 2*s**2).\nAnswer: -26*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9333621 is divided by 119.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-9352)\/(-20) + 1)*-5. Let d = 21040\/9 - z. Find the common denominator of 25\/8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1687 + -2437. Let s = n + 750.01774. What is s rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**4 + 2 + 1005*r + 15*r**2 - 1010*r - 2*r**3 + 0 to the form m + a*r**4 + o*r + z*r**3 + t*r**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5631289.\nAnswer: 37, 152197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15025 divided by -399\nAnswer: 15025\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -35. Let u(g) = g**3 + 11*g**2 - 13*g - 13. Let z be u(r). Let n(s) = -90*s**3 - 1. Is n(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.263 - 4.343. Let m = u + 4.0800638. What is m rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10854032.\nAnswer: 2, 7, 96911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12428524 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.58779+44\nAnswer: 44.58779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Let o = 4 + n. Solve o = 2*g + 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 + -403. Let m(g) = 57*g**2 - 9*g + 22. Does 60 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -117 - -291?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = -90. Let k = -25 + f. Calculate the smallest common multiple of -8*(-3 - (2 + -4)) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:25 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = 4*l - 8*l, 3*l = 2*v - 20. What is the second derivative of 1 + 14*w**3 - 12*w**3 - 106*w**4 + 2*w + 106*w**v + 124*w**5 wrt w?\nAnswer: 2480*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022010 - -22?\nAnswer: 2022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 9*o**2 - 9*o + 8. Let s be n(8). Suppose 94*d + 55 + 149 = -172. Put s, d, -0.18 in decreasing order.\nAnswer: s, -0.18, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150655 divided by 5.\nAnswer: -30131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 153151*r. Let q(n) = 5*n. Give z(q(j)).\nAnswer: 765755*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 596, 822?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106919, 427798, 962837, 1712234, 2676187, 3854894?\nAnswer: 5248553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 17 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-8) + -1 + -5. What is the closest to 1 in -5, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyx when three letters picked without replacement from {n: 2, y: 2, x: 7}?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 27 = 1. Solve -4*u - 5*z = -t - 2, -u - 1 = -2*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.415 and -24992.\nAnswer: -24976.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 506.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6 + 9*k**2 - 1 + 687*k**3 + 323*k**3 + 3. Let s be u(-4). What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/35562 and 41\/219?\nAnswer: 2596026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.325 + 0.065. Let m = -51941 - -51940.60861. Let i = q + m. Round i to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {y: 5, p: 2, q: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*i - 375 = -5*i, 2*u + 149 = i. Let v = -67 - u. Let l(j) = j. Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -1\/4, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 5. Suppose -3*s + 10 + j = 0. What is the least common multiple of 11 and 6\/(-15) - (-47)\/s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/10*8\/6*-1. Suppose 5*k - 3*y = 5, 0 = g*k - 0*k - 2*y - 2. Which is the closest to -3\/4? (a) 0.8 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:25 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**3 - 22*l**3 - 124*l**3 - 23*l**3 - 120*l**3.\nAnswer: -246*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -961*i*q**3 + 1263*q**3 wrt i.\nAnswer: -961*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4\/9 (c) 6.6 (d) -2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 30.00000017. What is o rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 13. Let q be g(-8). Let i = q - 11. Let r(h) = 2*h**2 + 8*h - 4. Calculate the remainder when r(i) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 + j + 1. Let k be w(-2). Suppose -17 = -k*z - 5*g, 0 = 3*g + g - 16. Sort 3, z, 2 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzzzzzzzzzzzzzzzz. Give prob of picking 1 m and 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 21 - 209 = -f, 872 = 4*f - 4*m. Let s = f - 116. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let l be f(4). Let m = 0 + l. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 49823*u**2. Let k(l) = 6*l. Give z(k(i)).\nAnswer: 1793628*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 4*w + 17. Let k be i(-8). Let a be (-17500)\/3*7*18\/k. What is a rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -83.56 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5760, -5387, -5016, -4647, -4280, -3915, -3552?\nAnswer: -3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122 and ((-1620)\/(-2700))\/((-2)\/(-230)).\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61159, -61344, -61561, -61810, -62091, -62404, -62749?\n\"Answer: -16*c**2 - 137*c - 61006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 2529?\nAnswer: 2528.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351, 339, 311, 261, 183, 71, -81, -279?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1414677547 + -0.5.\nAnswer: 1414677546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 6*x + 1. Let w be b(6). Let a be 1*0*w\/3. Solve a*c = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-2)*3108\/1295.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 1, 54, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -4409?\nAnswer: -4409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102.2 - 102.0966. Let d = a + -0.098. What is d rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*z - t = -227*z + 4, 0 = 5*z + t + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 10*t - 104. Give d(18).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 930\/(-372)*(-8)\/15*12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + 2?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 594851?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/((-6)\/(-36))*765\/(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70335)\/(-72) + (-2)\/(-16). Let t = v - 505. Does 59 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4, -2*w + 7*m - 3*m + 102 = 0. Suppose 5*j - 2 = g + 42, w = 5*j + 4*g. Suppose 0 = -j*s + 13*s - 336. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6660 divided by 6\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 168425 * 0.24\nAnswer: 40422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4, 5*r - 10 = -3*x + 12. Suppose -r*v - 1122 = -7*v - 4*m, -12 = -4*m. Suppose 6*a = 9*a - v. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37904)\/4532*(-44)\/8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((20\/(-12))\/((-7)\/(-42))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 + 18*l + 3. What is h(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*s + 4 = 0, -s = 3*p - 9 - 7. Let q be (-3)\/p*(-14)\/(-21). Let f = -3 + 3.1. Which is the nearest to f? (a) 2\/11 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 54379.91 weeks?\nAnswer: 9135824.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*c + 12 + 5 = 0, -2*n - 3*c = 5. Suppose -p + 3*v - 145 = -6*p, -27 = -n*p + 5*v. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -1\/20 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7317\/(-3))\/(((-11)\/(-55))\/((-14)\/105)) is divided by 806.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164330.2nm to centimeters.\nAnswer: 0.01643302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 53*k**2 - 2*k - 3. Let a(x) = -29*x**2 + 6. Calculate i(a(w)).\nAnswer: 44573*w**4 - 18386*w**2 + 1893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 - z - 1. Let n be v(3). Suppose n*g - 7 - 8 = 0. Let u(p) = p**3 - 2*p**2 + p. Let k be u(1). Sort k, g, 1 in ascending order.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*u**2*z**2 + 34*j**2*u**2*z + 17*j**2*u - j**2*z - j**2 + j*z**2 - 3*u**2 wrt u?\nAnswer: 2*j**2*z**2 + 68*j**2*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 2*l - 472*l**2 + 5*l - 3*l + 362*l**2 + 0*l.\nAnswer: -110*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 4*d**2 + d**2 + (-2*d + 5*d - 2*d)*(-3*d - 2*d + 3*d) - d**2 + d**2 + 4*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44149.\nAnswer: 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -4 (c) -0.03 (d) 0.0116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 638561504, 638561506, 638561510, 638561516, 638561524, 638561534?\n\"Answer: z**2 - z + 638561504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 4553\/(-870) + 4\/3. Let f(h) be the second derivative of h**2 - 19*h - 7\/6*h**3 + 2\/3*h**4 - g*h**5 + 0 - 1\/15*h**6 + 1\/42*h**7. Factor f(c).\nAnswer: (c - 1)**4*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/954 and 63\/20.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -90 (b) 0.4 (c) -2\/5 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 17*z + 3. Suppose 0 = 3*n + 4*i - 47, -4*n + 6*n + 3*i = 31. Let j be f(n). What is the highest common factor of j and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 + -80. Let b = m + 252. Solve -3*x + b - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(5\/2)\/d)*d**3*d*(d*d*d**(-1))\/d**(-8) assuming d is positive.\nAnswer: d**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13524062551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 - (-504)\/4. Let o be s\/10 + (-15)\/(-25). Suppose -2*h + o = 7. What is the second biggest value in -4, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, r: 3}. What is prob of sequence mmr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b - 9. Let o be k(2). Solve -o*q - 12 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + j + 7. Let c be k(-5). Solve c*h + 3 = -3*v + 16, -2*v + 2*h - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 7813*z**2 + 614938*z + 4418960.\nAnswer: -(z - 7891)*(z + 8)*(z + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17274, -2, 2\/15, 4\/5 in decreasing order.\nAnswer: 17274, 4\/5, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000238 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - sqrt(143)*-2) + sqrt(143))*-1)\/(sqrt(176)*2)*3.\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467817392 to the power of 1\/2, to the nearest integer?\nAnswer: 21629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 52*b\/9 + 70\/3.\nAnswer: 2*(b + 5)*(b + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l - 6*l**3 + 9*l)*(4*l - 3*l - 4*l).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 184075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a + 1\/60*a**5 - 7\/3*a**3 - 85*a**2 - 13\/24*a**4 + 0. Suppose j(l) = 0. Calculate l.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 11. Let m be 1\/a - (-81)\/180. Let k = m + -3\/10. What is the third smallest value in 1, 0.5, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 45 = -5*r, x + 214*r + 14 = 208*r for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15880354 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 4, r: 2}. What is prob of picking 1 y and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.1 - 21.4. Let z = b + -21.6801. Round z to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**4 - 1319*o**2 - 8491 with respect to o.\nAnswer: -20*o**3 - 2638*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 23 + 30)*(-2 + 0 + 4)*(1 - 1 + 1)*(-2*f + 4*f + 5*f).\nAnswer: 1008*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:19 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, 0.3, -136\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 45724644*a**2 - 54096*a + 16 = 0.\nAnswer: 2\/3381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 1:05 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9362 and 3062280?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 6. Suppose -4*f = -2*f. Solve f = -2*a + 3*i + 14 - t, -5*i - 5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 196*d**2 - 799*d. Let u be h(4). Solve -y + 2 = -19*x + 20*x, -x - 23 = -u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2652*s - 3 - 61*s + 3).\nAnswer: 2713*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-894)\/5215)\/(16\/(-20))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d + 1. Let c(t) = -14*t**2 + 7*t + 5. Let o(m) = -6*b(m) + c(m). Give o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84 - 16 + 8)*(-s**3 - s**3 + s**3) to o*s**2 + g + w*s**3 + r*s and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by (36 - (4 + 0)) + (-12)\/10*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -7667873?\nAnswer: 7667844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.08, -0.1, -2\/15, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.6 (c) -5 (d) 2 (e) 1\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 8) + 2 - -9. Is -2\/171 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 3*f**3 + 2*f**4 - f**2 - 2*f**2 as g*f**3 + d*f**4 + k + i*f**2 + n*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from {u: 7, m: 3, p: 1, v: 4, n: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135649784.\nAnswer: 2, 16956223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(15)\/sqrt(3)) + 5 + 1*sqrt(45)*-6.\nAnswer: -17*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.90131 to 2 dps.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 634455 - 2?\nAnswer: 634453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*4\/(-10) - 4. Suppose -b = -2*b + 6. Suppose -4*i = 2*w + 10, w = b*w + 5. Is z at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5) + (-7)\/(-35). Let p(c) = c**2 + 2*c + 3. Let r be p(-2). Let o(b) = -9 - b**r + 0*b + b + 0*b**3. Calculate o(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069907+475216\nAnswer: 475216.069907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0949 + 0.0761. Round d to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(6)\/sqrt(3))**2 + sqrt(24)\/(sqrt(108)\/(sqrt(36)\/sqrt(4))) - ((sqrt(24)\/(sqrt(24)\/sqrt(4)))\/sqrt(648))**2.\nAnswer: 2915\/162 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2. Suppose 39*u - 41*u + 4 = 0. Let w(l) = 6*l - u*l + 5*l - 4*l. Calculate p(w(o)).\nAnswer: -225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 1001\/6 (c) 4\/5 (d) -3 (e) -2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l = -34*l - 23 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*y = 3, -2*h = y + 4*y + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(10\/(-2) - -3). Suppose 4*c + g*c = 16. Let o(n) = -n**3 - 14*n**2 - 45*n - 14. Let m be o(-10). What is the highest common divisor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*l**2 - 8*l**5 - 23*l**5 + 7*l**5 wrt l.\nAnswer: -1440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000413 rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.62 - -0.62. Let h = 39 - 39.8. What is the closest to 0.03 in -2, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/5*(-39 + 4). Let m = q - 21. Let j be 1 + m\/((-63)\/12). Which is the closest to 0? (a) 0.04 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 74, -5, -2506 in descending order.\nAnswer: 74, -1, -5, -2506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85833000001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 6*n**2 + 0*n**2 + 7*n**2)*(7*n + 5 + 1 - 4) to the form b*n**3 + q*n**2 + v + l*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 19 (c) 3 (d) -14999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(832) + -3 - sqrt(832)) + (-1 + (sqrt(832) - sqrt(832)*2) + sqrt(832) - sqrt(832))**2 + 0 + 2 + 3.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 6588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 + 46. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b - 32. Let k be (-3 + 21\/4)*b. Let h = k + 39\/2. Find the common denominator of h and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t + f - 24, 0 = t - 4*f - 3. Suppose -2*g = -5 - t. Calculate the remainder when g is divided by (4 + 2)\/(6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 166. Let g be 1*158\/6 - (-40)\/k. Let l(h) = 3*h - 25. What are the prime factors of l(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 37*q**2 - 217*q - 265. Give r(-23).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65144542?\nAnswer: 2, 83, 392437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3 = -28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222\/671 + 2\/61. Put 2\/21, d, -0.5 in decreasing order.\nAnswer: d, 2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 11*i + 3*i + (-1 + 3 - 1)*(5*i - 5*i - 2*i))*(-2*i + i + 2*i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/2401 - -7811\/364952. What is the common denominator of o and -29\/6?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2. Let a(b) = -b**2 - 7*b + 62. Let j be a(5). Let x(u) = -j*u + 2*u + 3*u. What is g(x(o))?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 2*i + 10 = -29*g, 6*i + 26 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u - 12*u - 35*u + 98 - 5*u wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - -0.9. Let z = 2.6 - p. Let h = 0.9 + z. What is the closest to -2\/7 in -0.5, h, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 66. Suppose 0*m - 45 = 5*m. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7))**(8\/7))**(2\/9)*(h\/(h\/(h**2*h)))**(-15)*(h*h*h\/(h\/h**(-1\/2))*h)\/(h\/h**1) assuming h is positive.\nAnswer: h**(-37517\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdr when three letters picked without replacement from vrdkp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515 is divided by 717?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.639 + 2.529. Which is bigger: y or -20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9138, 9151, 9188, 9261, 9382?\n\"Answer: 2*a**3 - a + 9137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*q**5 - 1156365*q**4 + 2659370*q**3 + 115695*q**2 - 1618750*q = 0. What is q?\nAnswer: -7\/10, 0, 1, 2, 23125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -219.806 to 0 decimal places.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6997330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 204279856489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -616 + 626 - (10 + -11 + -64)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -121, 3, 0.1, -5\/4, 2, -2 in descending order.\nAnswer: 3, 2, 0.1, -5\/4, -2, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 divided by -966?\nAnswer: 1021\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) -1 (d) 6 (e) -9\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjgjjjj. Give prob of picking 4 j.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 2*z**2 - 3*z + 0*z**2 - 2*z**2.\nAnswer: -3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -42*j**3 + 146*j**2 + 248*j + 162. Let y(v) = -5*v**3 + 18*v**2 + 31*v + 20. Let a(c) = 2*k(c) - 17*y(c). Factor a(t).\nAnswer: (t - 16)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7326306728 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/1449*-23 - 0\/(-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 3. What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -30908054 = -30908055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9982213427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -4777\/3225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - 8761\/(-3). Let d = -1709 + r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2, 2, -1261, -1 in increasing order.\nAnswer: -1261, -5, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let g(w) = w**3 - 7*w**2 + 134*w - 763. Let o be g(6). Let q = -5 - -10. Let m(s) = -o*s - q*s - 13*s + 55*s. Calculate m(a(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -10, -6, -3, 0 in ascending order.\nAnswer: -10, -6, -5, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41627, 83457, 125287, 167117, 208947, 250777?\nAnswer: 292607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004610021?\nAnswer: 3, 4621, 72467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/24*(-7 + 6). Suppose 0 = 5*f - 4*j - 0*j + 217, -2*f + j = 85. What is the closest to -2 in f, 2\/11, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + y - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267959369 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 472 and 24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + 131. Let b = -71 + 73. Suppose 4*o - 62 = -p, -5*p - o + u = -b*o. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 5, j: 1, e: 3, d: 1}. What is prob of picking 1 d, 1 e, 1 j, and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 24 + (14 - 7) + 40?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3371855 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:35 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12681459 is divided by 1679.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.3523 rounded to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/475 - -968\/4275. Let f = -3\/8 - 3\/56. Let d = 4 + -3.6. What is the third smallest value in z, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 15. Let i = -340 + 342. Let 8*v**i + v + 5*v**o - v**3 + 3*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1123424?\nAnswer: -1123425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/110 + 13*(-24)\/(-80). Solve 2*l + p = -4 + 6, -5*l - 21 = -g*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**3 - r**2 + 2*r - 1. Let q be b(1). Let n be 3\/1*4\/q. Suppose 0 = 5*o - 2*w, -o - o = 5*w. Solve n = -o*i + i, 5*h - 2*i + 29 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - -46 - (0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:16 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 - 114*o + 26. Let f be v(-23). What is the greatest common divisor of f and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + 3. Let u(r) = -1 + r + 3*r + 5. Let c(l) = -l**3 + 9*l**2 - 9*l + 9. Let h be c(8). Suppose h + 2 = g. Give g*t(q) - 2*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 9, 0 = 3*o + o + 5*l - 17. Is 11 a factor of (-18)\/(-24) - (-170)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -4.93026?\nAnswer: 9.86052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-5*j - j + 5*j) - 9*j - 5*j + 1 + 16*j + 5 + 10*j - 8*j + 3)*(5*j**2 + 0*j**2 - 2*j**2).\nAnswer: 18*j**3 + 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 12*j - 6 + 6)*(-1 + 5 + 2).\nAnswer: -72*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**3 + f**2 + 11\/12*f**4 - 6*f + 0. Find the first derivative of j(v) wrt v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -287 - -285. Which is the closest to -94\/7? (a) 5 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*((r\/(r*r\/r**(-7)))\/r)\/r)))\/((r\/r**(4\/5)*r)\/r))\/(r**(-1))**(-12))**(-2\/7))**3 assuming r is positive.\nAnswer: r**(636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924990, -925002, -925016, -925032, -925050, -925070, -925092?\nAnswer: -925116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/3 - 2180*y**3\/3 + 465158*y**2\/3 + 3582740*y = 0. Calculate y.\nAnswer: -21, 0, 326, 785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q**2 - 11*q + 14. Let j(y) = -3*y**2 + 4*y - 5. Let b(n) = -11*j(n) - 4*x(n). Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - -2 - (-4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 13*b + 3 = 0. Suppose -b*h = -4*h + 2. Solve -h = 5*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*x + 79, 5*j + x - 125 = -4*x. Suppose 7*m - 16*m = 522. Let n = 172 + m. Calculate the remainder when n is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22041\/395 + -50)*5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 90. Let a(r) = -42523*r. What is p(a(t))?\nAnswer: -85046*t + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 174 and 174 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-77) + (-40)\/(-14). Suppose 0 = d - 17 + s. Solve -2*m = 4*i + d, 2*i + 22 = -m - 3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 + 131. Let r = -12701779.6 - -12701832.600059. Let l = f + r. What is l rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332.507991 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*k + 2*k + 16482, 0 = 5*k + 4*f - 27438. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2 - 12*z - 16. Let f(b) = -13*b**2 + 11*b + 17. Let w(v) = 3*d(v) + 2*f(v). What is w(-9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 2*j**2 - 2*j**2 + 2 + (-3*j + 0*j + 2*j)*(2 - 2 - j))*(-67*j**2 + 21*j**2 - 19*j**2).\nAnswer: -130*j**4 - 130*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h. Suppose 0 = -h*j + 2*j - 4. Factor -5*w**2 + w**2 + 0*w**2 + 2*w**j.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13401 is divided by 251?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:16 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q)*(276 + 16*q + 300 - 567).\nAnswer: -16*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010010011110 - -1?\nAnswer: 1011010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.036 and -3020748999?\nAnswer: 3020748999.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-5)*v**2*v\/v**(-2)*v*v*v**(4\/3)*v assuming v is positive.\nAnswer: v**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*u + 3557 - 1464 + 975 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-87 + 92 + 68\/(-14))\/(3120\/679) and 103\/36.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -0.2, -25\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 12, 94 in decreasing order.\nAnswer: 94, 12, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/48*(-2)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 1, -5, 2, 5, -1, -41 in increasing order.\nAnswer: -227, -41, -5, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/131 in -3, -1\/6, 125878\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 at least -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**3 + 0*x**2 + 3\/20*x**5 + 0 + 3*x - 1\/6*x**4. Find the third derivative of d(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1384*p - 1241*p + 5148 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i + 4. Let q be -8 + 3 + 1\/1. Let r be s(q). Suppose -5*b + 18 = -r. Sort -3, -5, b in decreasing order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6945 - 6945. Let x be 6\/27 - (-1142)\/18. Let g = x - 953\/15. What is the nearest to 2\/7 in 5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:42 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473582 to the power of 1\/2, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1)*15\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 737953867?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306*b*k**2*x - 950*b*k*x**3 + 7*b*k*x**2 - 2*b*x - 243*k**2*x**4 + 13*k**2*x**2 + 2*x wrt x.\nAnswer: -5700*b*k - 5832*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5111, 176\/5, 0?\nAnswer: 176\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 + -120. Let n(m) be the third derivative of -1\/18*m**3 + 0*m**4 - 4*m**2 + 0 - 1\/630*m**c + 0*m**6 + 0*m + 1\/90*m**5. Let n(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2080\/(-24))\/13*180\/(-75).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 9, 127, 254 in decreasing order.\nAnswer: 254, 127, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 17*c - 16. Let n be r(15). Let y be 66\/n + (4 - 104\/28). Solve t = -0 - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 14*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20072 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 352, 801, 1430, 2239, 3228, 4397?\n\"Answer: 90*y**2 - y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 2*o + 6, 4*o = 5*n. Suppose -661 = -5*t + j, -t - 5*j + 685 = n*t. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175*i**3 - 12*i**3 + 8*i**2 + 9 - 3 + 2 - 1 wrt i?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*-10*(-1)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103701 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {f: 7, h: 2, u: 1, z: 2, j: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 10*k**3\/3 + 152*k**2\/5 + 24*k\/5 - 1195. Determine g so that m(g) = 0.\nAnswer: -6, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10444259 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(24)\/sqrt(3) + -5)*-2)**2.\nAnswer: -80*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*-2*sqrt(560))\/((-2*sqrt(605)*-2 - sqrt(605))*-2).\nAnswer: -16*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43542.93 millimeters in centimeters?\nAnswer: 4354.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7720 = -1749*x + 1363*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**2 - 7*y - 3. Let u(c) be the first derivative of 8*c**3\/3 + 4*c**2 + 4*c + 7. What is 6*j(s) + 5*u(s)?\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 72 = 3*q, 0 = -2*c + 3*q + 50 + 67. Let l = 24 + c. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*47\/(-564))\/((-58)\/(-232)*4\/90)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1303*f - 3853. What is x(3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/4*(-16)\/(-24) + 2. Solve -3*y = c*u, u = -5*y - 4*u + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/20 + 7*i**4\/12 + i**2 + 3*i. Let n be g(-7). Suppose n*w - 140 = 102. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:42 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 2*s - 11 + 2)*(-108 + 108 - s**2) + 2*s - 2*s - 2*s**3 as m*s**3 + n*s + u*s**2 + d and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -3, 45, 155, 351, 657, 1097, 1695?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 123650.6 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 51*z**2 + 7*z - 509. What is t(0)?\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = o - 73. Let g(i) = 8*i**2 + 41*i + 77. Let m be g(-2). What is the greatest common factor of o and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*c + 11*c = 58*c - 35*c. Is c > 3\/6281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + 40\/6. Suppose 5*l = p*l - 20. Find the second derivative of 13*q**2 + 6*q + 4*q**2 + l*q**2 wrt q.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 - 8*x - 1. Let r = 20 + -8. Calculate the smallest common multiple of r and q(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -22 - 14. Let o(i) be the third derivative of 0*i**d + 0 - 14\/135*i**5 - 1\/27*i**4 - 49\/540*i**6 + 0*i - 5*i**2. Solve o(s) = 0 for s.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -93622*n + 7115258. Calculate m(76).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**2\/2 + o - 3. Let m be (-36)\/(-10) - 2\/(-5). Let z(n) = -n. What is m*z(a) + 3*q(a)?\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 72.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 - 21*x + 180 = 0.\nAnswer: -12, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590534.\nAnswer: 2, 7, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -50152*-5\nAnswer: 250760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -76. Suppose -4*p + 59 = 5*o, 0*p = -o + 3*p + 27. What is the remainder when i is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:33 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 5) + -11 + 3 + -13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -201*h + 0*h**2 + 667 + h**2 + 74 + 15 + 2*h**2 = 0.\nAnswer: 4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -4 (c) -0.4 (d) 1\/3 (e) 1 (f) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(9240\/(-189))*4\/(-3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 0 + 0.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3) - 24\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910872232?\nAnswer: 2, 229, 421, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -362, 5, -2, -28.14?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.8, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 8. Let j(u) = -4*u - 9. Let g(b) = 6*d(b) - 5*j(b). Calculate the smallest common multiple of g(3) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/2 + 72*l**3 + 2805*l**2 - 12100*l - 2465. Let o(x) = 0. Calculate x.\nAnswer: -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - -1000011001111000010011?\nAnswer: 1000011001111000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*r**3\/9 + 195496*r**2\/9 - 281008250*r\/9 - 33062500\/9.\nAnswer: -2*(r - 2875)**2*(17*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 823537.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79220362031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -115, -251, -441?\n\"Answer: -27*y**2 - y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 7*z**2 + 7*z - 4. Let k be v(5). What are the prime factors of 2\/(-6) - (k\/3 + -2)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3105558 and 447648?\nAnswer: 49688928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2032 and 56?\nAnswer: 14224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 24. Let n be c(-28). Let r be 3\/((-147)\/(-14)) + n\/(-14). Let y(w) = -w**3 + w**2 + 1317. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 6*h - 4*h + 4*h + 4*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + n)*(0 + 2 + 0) - 2*n - 4*n + 4*n + 0*n + n + 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -92, 2, 97653 in descending order.\nAnswer: 97653, 4, 3, 2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 43002 (base 5) to base 13\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1122585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -6. Let d = n - 0. Let s = d + -7.003. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542 (base 6) to base 5.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r + 3*v, -4 = 2*r - 0*v - 2*v. Suppose -t - k = -4, r = 2*t + 3*t - 3*k - 20. Suppose -78 = -3*q + 4*g, -q + 0*q + t*g = -18. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 240, 522, 916, 1422?\n\"Answer: 56*i**2 + 2*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 21520*u - 279710. Determine l(-13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2077*h + 847399. Determine m(-408).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 12*r + 16. Let d(a) = -4*a - 17. Let o(m) = 6*d(m) + 4*x(m). Let k be o(2). Solve k*n = 1 - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*o**4 + 0 + (3 - 3 - o**2)*(o**2 + 0 + 0) + 53*o**4 - 25*o**3 + 6*o**3 - 51*o**4.\nAnswer: -o**4 - 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*u**3 - u + u**2 - 4*u**2 + 9*u**3 + 3 + 4*u**2 as a*u**2 + v + i*u + b*u**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55386*h - 56060*h = 45832 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4164*f - 4213*f = -105742. What is the greatest common factor of 52 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.46 * -4\nAnswer: -109.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67381 in -2\/11, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 + -1 - (-5)\/(-5) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/420 - q**5\/210 + 7*q**2. Solve x(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2 = -2*u - 2*o - 3, 27*o - 3*o = 4*u + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/(-45)*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 - 2 = -4*d, 0 = d. Let x(b) = -b**2 - 8*b - 7. Let g be x(-6). Let q be ((-6)\/4)\/(7 + (-177)\/24). Sort g, p, q in ascending order.\nAnswer: p, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = 16. Let c(p) = p**3 + 9*p**2 + 8*p + 2. Let j be c(t). Solve 4*s = -2*v + 2, s + j*v = -2*v - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 10:22 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 0*u + u - 4, 4*g = 5*u - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 12*q - 6*q. Let j(l) = l**3 + 12*l**2 + 20*l. Let u be j(-10). Sort -1, u, q in increasing order.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -160, -368, -656, -1018?\n\"Answer: r**3 - 49*r**2 + 18*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177600 and 4080?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from ozrnftt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 142038.\nAnswer: 1\/23673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1314 and -11\/2044.\nAnswer: 18396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 503.1 + -502.8. What is the nearest to -1\/2 in -2\/9, 35, 2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6 - 4 + 3*v**2 - 2*v**2 + 9*v + 10. Let n(j) = j**3 - 4*j**2 - j + 2. Let h be n(3). What is the tens digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62891316 divided by 6?\nAnswer: 10481886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 17*n + 140. Solve 3*r + r - 3*b = -12, 2*r - 5*b + n = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmtmtmmm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r - 156*r + 18592 = 0. Sort 2, 0.3, r in descending order.\nAnswer: r, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 47 = -4*h, 42169*d + h = 42166*d - 86 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b + 5 = 0. Suppose -2*j - b*z = -2, -5*j + 34 = -3*z + z. Suppose -x + j*x - 395 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 0, 6*x + 2*j - 16 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 - -1)*(-11 - -12). Let 1\/4*f**c + 2*f**3 + 0 + f**2 + 0*f + 5\/4*f**4 = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 1, -6, 5, 0.12, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {b: 4, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 946. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15108422.289+887\nAnswer: 15109309.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x = -95 - 150 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 232308, 232316, 232328, 232344, 232364, 232388?\n\"Answer: 2*u**2 + 2*u + 232304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3 + 3)*(4 - q - 4) + 9*q**2 + 2*q**2 - 4*q**2 + 2*q**2 - 2*q**2 + q**2 + (-4 + 4 + 2)*(0*q**2 - 4*q**2 + 2*q**2).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7811475 is divided by 478.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/60 - k**4\/4 + 7*k**3\/6 - k**2. Let t be p(6). Suppose t = 2*w - 15. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 0, -4*n + 37016 = 12*w - 8*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:27 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 29948.64 to the nearest 10.\nAnswer: 29950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:26 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 162061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16326, 16329, 16332, 16335, 16338?\nAnswer: 16341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -203, -671, -1391, -2357, -3563, -5003, -6671?\n\"Answer: i**3 - 132*i**2 - 79*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.74134796 rounded to three decimal places?\nAnswer: -47.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - u + 2. What is i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 368*m**2 + 710*m + 3275. Give x(182).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:23 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.791594ml?\nAnswer: 0.002791594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 1. Let v(t) = 8*t - 4. What is 11*o(a) + 4*v(a)?\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77116.\nAnswer: 2, 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -4 in increasing order.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(-1))**15\/(s*s**4*(s\/(s\/(s*s\/((s\/(s*s**(-1\/3)))\/s)))*s)\/s) assuming s is positive.\nAnswer: s**(157\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 2. Let v(j) = 2*j. Give v(l(d)).\nAnswer: -8*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from ixiwwixxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 - 3*w**4 + 4*w**4)*(-3 + 2 + 5) + 2*w**2 + 4*w**2 - w**2 - 2*w**4.\nAnswer: -10*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i - 275. Let j = i - -86. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77 - 6e?\nAnswer: -e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 7*u**2 + 2*u - 10. Let f be o(7). Suppose -h - 2*d = -18, -5*h = d - f*d - 103. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-55)*-68 + 3\/(-5). Calculate the greatest common factor of 689 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035412 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 - -107. Suppose 0 = -3*p + 4*a + 31, 2*p - n = -p - a. Suppose 2*d + 23 = 5*k - 2*d, -4*k = p*d - 43. Solve k = 3*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525833 not equal to 14103333\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2. Let t(k) = -107618*k**2 - 100*k. Calculate t(x(u)).\nAnswer: -430472*u**4 - 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.379 - -1.37905632. Round z to six decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 830.8651 hours?\nAnswer: 49851.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 677, 3025, 5373, 7721, 10069, 12417?\nAnswer: 14765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 50*f + 90. Let t be m(45). Calculate the highest common factor of t and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80355427 is divided by 297?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3\/3 - 20*j**2 + 80*j - 320\/3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 76 - 86 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*t + 6607 - 6609, 3*b - t + 37 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2 + 2. Let x(s) = 67*s - 264. Let u be x(4). Put -5, 2, u, l in ascending order.\nAnswer: -5, l, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:42 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/3 + 44993*m**2 - 1517624928*m - 132146910464\/3 = 0.\nAnswer: -29, 67504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -330, 3, -4, 12 in decreasing order.\nAnswer: 12, 3, -4, -14, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v)\/(v**(-1\/9)*v)*(v\/v**(-1\/2)*v)**24 assuming v is positive.\nAnswer: v**(523\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163112 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7667578 and 75773712.\nAnswer: 1288153104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + 5*n + 4. Suppose -2*h + 25 = -5*m, -2*h = 5*m - 1 + 6. Let p be d(m). Which is smaller: p or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55934109.\nAnswer: 3, 7, 11, 80713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -25\/12*r**4 - 45*r**2 + 0*r + 0 - 8\/3*r**3. What is the derivative of k(x) wrt x?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 12*r - q = -0*q + 7, -29*r - 5*q = 91 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5681 - -8201. Suppose -13*l = l - o. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + -3 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + g = 1616, -4*v - 5*g + 1289 = -8*g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79635923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51615 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: Sort 87, 6, -3 in decreasing order.\nAnswer: 87, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 6. What is the remainder when (4\/6)\/((-16)\/(-12))*142 is divided by h(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 566 in 2\/5, -2\/5, -4, 0.03, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754*t + 1754*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-15))\/((-2)\/(-6)). Suppose v - 183 - 11 = -5*x, 0 = -3*x + t*v + 106. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-9\/2)))\/a*a\/((a\/(a**(-32)*a*a*a))\/a*a))**(5\/17) assuming a is positive.\nAnswer: a**(-345\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 1:04 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*w + 11 = 0, 0 = w - 0 - 5. Calculate the highest common factor of l and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -202, -279, -358, -439?\n\"Answer: -o**2 - 74*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsds when four letters picked without replacement from {w: 3, z: 3, k: 1, s: 3, d: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -320*u - 9. Let w be -6*(7\/(-2) - -4). Let y be v(w). Let m = -620 + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14993577 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 4*m + 27*q - 12, 2*m - 5*q = 0. Sort -17, 2, m in increasing order.\nAnswer: -17, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 26935, -4 in descending order.\nAnswer: 26935, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = 5*d - 2*q, 0 = 2*d + 2*q. Solve -d*u = -3*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3 - 2 + 2 + 2*p - 2*p - 3*p**2 + (0*p + 3*p - p)*(0 + 2*p + 0) + 1338992*p - 1338992*p - 2004*p**2.\nAnswer: -2002*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 158895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-9))\/(2\/28). Let z(g) = g**2 + 10*g + 4. Let v be z(-8). Let x be v\/90 + (-39)\/45. Is x greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -0.097.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861815.\nAnswer: 3, 5, 124121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q. Sort 4, -1, q in increasing order.\nAnswer: -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 204347.8 millimeters?\nAnswer: 204347800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -27*n**4 + 4*n**3 + 16*n. Let k(z) = 27*z**4 - 3*z**3 - 17*z. Let b(u) = 4*k(u) + 3*r(u). What is the second derivative of b(l) wrt l?\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00134871849 to 6 decimal places.\nAnswer: -0.001349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h = -33*h - 1287. Suppose 5*f = 111 + h. Let x = 118 - f. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Factor -i**3 - 4*i**q + 71*i**2 - 66*i**2.\nAnswer: -5*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9072 - -16873. Suppose 0 = 2*p - l + 2687. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let o(w) = w**2 - 3*w + 4. Let g be o(3). Suppose y = p - g. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r + 5. Suppose -10*z - 35 = -17*z. What is c(z)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(4 - 3) + 199. Let f = -107 + o. What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-1\/15)\/(z\/(z\/((z*(z\/z**(4\/7))\/z)\/z)))**(-38) assuming z is positive.\nAnswer: z**(-2252\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x. Let i(v) be the first derivative of -v**2 - 17. Determine i(t(y)).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**24\/(b**(4\/5)*b**(2\/19)) assuming b is positive.\nAnswer: b**(-4646\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 45?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6143 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f. Let o(m) be the first derivative of -2*m**3\/3 + 7*m**2\/2 + 12*m + 4. Let x be o(5). Calculate k(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 21*d**2 - 70*d - 92. Determine m(14).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c853b99 + 0?\nAnswer: -2c853b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 4, 5398?\nAnswer: 5398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74 and 15.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17554520*z**2 - 14808631*z?\nAnswer: -35109040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 40 = 9*p. Let v = -13\/2 + p. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (78*g - 81*g + 207*g)*(8 + 8 - 12)*(g - g + 2*g**2) in the form x*g**2 + k*g + c + u*g**3 and give u.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -33, -0.3, 0.3, 2\/5, 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6 - (-33 - -19) - 31) + 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 18*s - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2045015 >= 0.026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.4143?\nAnswer: -2.4858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -34 + (-12 - 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -p + 3*u, -40 = -5*p + 5*u. Suppose p*f = 1082 + 24. What are the prime factors of f?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9606 + 5094 + 5046)*(3 + 3 - 4)*(-2*o**3 + 3*o**3 + 0*o**3).\nAnswer: 1068*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 - 213*x**2\/4 + 17646*x - 717876.\nAnswer: -3*(x - 68)**2*(x + 207)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30096207?\nAnswer: 3, 37, 90379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*n + 4392 = -1238*n + 55476 for n.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 - 2 = -30*o + 27*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*v + 343 = 0. Let b = v + -10. Let x = b - -63. Let d(z) = -z**3 + 6*z**2 - 5*z + 2. Give d(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10474, -10404, -10250, -9976, -9546, -8924, -8074, -6960?\n\"Answer: 6*c**3 + 6*c**2 + 10*c - 10496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3902464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5916598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5753, 1\/3, 606?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Suppose 5 - 1 = -4*o. Let p be 1\/(1\/(-2))*o. Suppose 4*h = p*h + 4*m + 18, 2*m - 3 = -3*h. Calculate c(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5734170 divided by 1690\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1065*g**2 - 27 + 27 - 22*g**3 + 1066*g**2 to the form j*g**2 + m + t*g + b*g**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 25. Let s = 3.89 + 0.11. What is the third smallest value in -2, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 4. Let v be p(6). Let r(i) = -135*i - 950. Let k be r(-7). Which is the nearest to 1? (a) k (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7504, -30067, -67666, -120295, -187948, -270619?\n\"Answer: q**3 - 7524*q**2 + 2*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*h**2 - 2 + (0*h + 0*h + 2*h)*(-14*h + 15*h + 15*h))*(3 + 0 - 2)*(-5*h**2 + h**2 + h**2)*(2*h + 4*h + 0*h).\nAnswer: -648*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -166*u - 1388. Calculate q(0).\nAnswer: -1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/30 + x**2 - 6. Let a(c) be the first derivative of 7 + 0*c + 0*c**2 + 4\/3*c**3. Determine a(i(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k*p**3*y**2 - 2*k*p**3*y - 2*k*p*y**2 - 10*k*p - p**2 wrt p.\nAnswer: 30*k*y**2 - 12*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 2*j + 36, 33 = -3*i + 3*j. Which is greater: i or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009465 to six dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*10888648.\nAnswer: -65331888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-5 - 0) + (-107 - -104) + 3 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13.511 (b) -0.01 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*l - 5902, 5*z - 1397*l - 7375 = -1392*l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14\/293 - 5865\/55084. Find the common denominator of -3\/20 and b.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e3 (base 16) in base 2?\nAnswer: 11100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39616, -31804, -23992?\n\"Answer: 7812*l - 47428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3947117?\nAnswer: 19, 207743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -217, -968, -2211, -3940, -6149, -8832?\n\"Answer: i**3 - 252*i**2 - 2*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 3, 4, -1 in decreasing order.\nAnswer: 4, 3, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12082, 11690, 11056, 10180, 9062, 7702?\n\"Answer: -121*u**2 - 29*u + 12232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25*n**2 + n + 4. Does 14 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -703*q + 5512. Give r(8).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45213?\nAnswer: 3, 7, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x + 14. Let h be (-4)\/(-30)*x*-5. Suppose h = y + y. Solve -q + 4*l - 1 = 0, 4*l - y - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -245, 2, 5, 3.\nAnswer: -245, -6, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -66782704 divided by 33391352?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140.94 - 141. Let z = -30.03 - -31. Let g = z - -0.03. Sort 0.5, l, g in descending order.\nAnswer: g, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2, -5, -11543, 0.\nAnswer: -11543, -5, -2, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(630)*2)\/(-3*sqrt(640)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 11860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10102*t + 10019. What is x(1)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q + 1\/3*q**3 + 0*q**2 - 2. Let x(a) = -2*a**2. What is r(x(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -937718502*r**3 - 721618453*r**2 wrt r.\nAnswer: -5626311012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*w + 10 = 4, -5*w - 15 = 3*h. Solve h = 7*y + 16*y + 115 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 25*p**2. Suppose -5*k + 5*q = 10, -72*k - 5*q + 10 = -73*k. Let d(f) be the third derivative of k*f - 1\/12*f**4 + 0 + 0*f**3 + 14*f**2. Give d(m(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000402677486 to 7 dps.\nAnswer: 0.0000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36459\/8 + -4550. Let m(n) = 6*n - 6. Let c be m(6). Calculate the common denominator of 134\/c*(-15)\/10 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 0, -16 = c - s + 6*s. Is 1271\/c - (-4)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5 - 1189375*n**4 + 4757484*n**3 = 0. Calculate n.\nAnswer: 0, 4, 1189371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.112 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, 2, -21 in decreasing order.\nAnswer: 28, 5, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 22, -3\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*h**2 + h - 8 - 19 - 1 - 5*h + 2*h + 2*h**3.\nAnswer: 2*(h - 1)*(h + 1)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 11. Let x(n) = -3*n**3 - n**2 + 1. Let i be x(q). Solve 0 = 4*y - r + 1 - i, -3*y - 3*r = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.34 in 2\/3, -7905\/7, -0.3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 32*k - 1299. Let c be f(42). Suppose -4*z = -0*z - 40. Calculate the greatest common divisor of z and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j**2 + 11135*j + 4450 = 0. Calculate j.\nAnswer: -445, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -133*-147\nAnswer: 19551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.616?\nAnswer: 1.4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + -2*sqrt(176))*-6 + ((sqrt(176) + 0)*6 + (sqrt(176) + 1)*2)*4)**2.\nAnswer: -14080*sqrt(11) + 283536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16762081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145\/906 + 1\/151. Let b = -0.137 + 0.337. What is the closest to -1\/3 in z, b, 2\/7, 10\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/45 + 43\/90. Let m(t) be the second derivative of -1\/2*t**3 - y*t**2 + 0 + t. Give m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(0 + -2) - 2. Suppose x = f*x - 18. Suppose -x*v + 4*v = -110. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -194?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 53160965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -233055?\nAnswer: -233060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*y + 408*y + 418*y.\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:45 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/112 + 69*n**7\/70 + 163*n**6\/20 + 19*n**5 - 33*n**4 - 256*n**3 - 2691*n**2. Suppose w(u) = 0. What is u?\nAnswer: -64, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1240 = -7*h + 2*h. Let w be 11\/(-66) - 31\/(-6). Suppose w*z - 3*r + 15 = 170, -3*z = -2*r - 93. What is the highest common divisor of z and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457884 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530619764.\nAnswer: 2, 19, 227, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, d: 2, a: 5, e: 1, g: 2, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:01 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from zqzjzqfzzffoozq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {e: 1, k: 1, c: 14}?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -110. Solve 0 = -10*h + r*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141802015 and 1955.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1670, 1668, 1662, 1652?\n\"Answer: -2*h**2 + 4*h + 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3525 (base 9) to base 14\nAnswer: d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.2 (b) 1 (c) -189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 331, 3 in ascending order.\nAnswer: -2, 0, 3, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 1\/9, -5, -0.5, -71?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Suppose -r = -4 + 2. Let d be w(r). Let j be (-1)\/1 - (-1 + 1). Put 0.1, d, j in ascending order.\nAnswer: j, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let g(o) = 2*o**2 - 5*o + 4. Let m be g(s). Is 4 a factor of m*-1*(-5 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) -0.19 (d) 5\/4 (e) 0.19 (f) -2\/43 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2*z - 2*z - 4 + 2*z - z.\nAnswer: -3*z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4410802 and 2438?\nAnswer: 233772506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -38. Suppose -k*m - 4468 = -17*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(10\/((-5720)\/39))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-613)\/(-3) + (-83)\/249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/6 - 16\/10)\/(4\/(-20)). Solve -4*w - 8 = 2*f - 16, -5*w = f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 13 = 35*t. Suppose 99 = -t*b + 22*b. Calculate the remainder when 51 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, -5, -1, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g - 6. Let y be 8\/28 - (-51)\/(-7). Calculate the remainder when 3 is divided by x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 93 + 145. Let f be 293\/(-2) + (10\/4)\/5. Let h = s + f. Calculate the remainder when h is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*40\/(-56)*(-91)\/13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-20)*-6*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -4 (c) 2\/101 (d) 3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 - 2.22. Let v = d - -39.1. Let g = v + -29. Round g to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + u + 129 = n, n = -3*u + 13. Suppose 0*m = 2*m. Suppose m = 5*x - 76 + 26. Calculate the highest common divisor of x and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6*m**4 - 10892*m**3 - 305112*m**2 - 1522612*m + 541842 = 0.\nAnswer: -21, -7, 1\/3, 1843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m + 0*m + 4*m)*(29 + 26 - 58 - 10*m) to y + r*m + j*m**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 = -3. Suppose -938 = -o*f + y - 237, 4*f - 2*y = 562. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 635617 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2076731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -14, -173091 in descending order.\nAnswer: -2, -3, -14, -173091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-854)\/(-549)*36\/406.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145240 divided by -36360?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 388, -5, 14, 100 in decreasing order.\nAnswer: 388, 100, 14, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/11*353\/1059*(-11)\/118?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from ffrrfvvr.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -690 and 2?\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 15050 = -20*w + 5*z, -4*z = -5*w + 37625. Suppose 0*p + c = 2*p - w, -3773 = -p + 4*c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*b*i**2 - 1247809*b*i*n + 7*b*n - 2*b - 4*i**3*n - 265472*i**2*n - 2*i*n wrt i.\nAnswer: 32*b - 24*i*n - 530944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + m + 16 = 0, 5*z + 255 = 4*z + 3*m + 254 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -14 + 12. Put 0, 1, u in ascending order.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from aaaaaayaaaaaayayyaa.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48228 less than -0.4?\nAnswer: -0.88228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8805 rounded to 2 dps?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111216 = 159*x - 390102. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-112))\/(((-1)\/1)\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 15. Let c = -1.87 - -1.57. Is c greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -32 + 38. Let m be 3*l\/((-9)\/(-3)). Solve m*k - 3 = -18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21*r - 2. Let c be w(-2). Let u = 14 - 10. Suppose 2*s = u*s - 20. Calculate the greatest common divisor of s and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*m + 74, -3*m + 2*m - 3*z - 17 = 0. Let v = m + 52. 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 c(o) = -964*o + 27590. Calculate c(28).\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 9*a = 15. Suppose -2*i + 12 = -x - 10, -a*x = 12. What is the smallest common multiple of 7 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(504*p - 15445*p - 5639*p) to the form h + i*p and give i.\nAnswer: -20580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 321 - 201155?\nAnswer: -200534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(4*s - s - 2*s) + 401*s - 2203*s - 380*s - 522*s.\nAnswer: -2705*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*k + h*l**3 - h - 290*k*l - 384*k + l**3 - 2 with respect to l.\nAnswer: 3*h*l**2 - 290*k + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 19165, 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 403.\nAnswer: -38\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b. Let j(z) = 53 - 171 + z + 56 + 54. Determine j(q(c)).\nAnswer: -20*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3435320.\nAnswer: 2, 5, 7, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-134)\/4)\/(((-3)\/60)\/(((-1431)\/270)\/53))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 + 2*d**4*w - 15*d**3*w + 2*d - 7*w - 4 wrt d.\nAnswer: -40*d**3 + 24*d**2*w - 90*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5670 and 5562?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from warrs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88725?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -3 - (5 - 790). Let q = 1676 - d. Is 56 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -52818 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-4)\/((-120)\/25). Suppose -b - t - k = 0, -2*b - 2*b = -2*t + 8. Let c(q) = -2*q - 3. Let x(m) = 2*m + 3. Calculate b*x(u) - 2*c(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/6)\/(5\/30) - -1711. Suppose 5*a - 3*n - 705 = t, 0 = -3*n - 12. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (-1 - (-44 - -22))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -816 - 318*m**2 - 813 + 1629 to the form v*m**2 + b + r*m and give v.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/20)\/(-1) + (-21)\/(-35). Let d(a) = -a + 1. Let u be d(4). Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 44*r + 4. Let n(s) = s - 1. Let m(u) = h(u) + 2*n(u). Let x be m(2). Suppose -x = -6*p + 86. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -16*h**5\/15 + 7*h**4\/3 + 88*h**3\/9 - 38*h**2\/3 - 8*h - 104. Solve v(u) = 0 for u.\nAnswer: -2, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42387 + 42388. Solve 7*b + v = -6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**28)**10 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 891 and 570?\nAnswer: 169290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - 0.72. Let t = g + 4.8. Let f be 2\/6 - 5\/9. What is the third biggest value in f, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -261*w**3 - 10*w**2 - 10*w + 436. Let a(z) = -1044*z**3 - 42*z**2 - 42*z + 1746. Let i(m) = 5*a(m) - 21*y(m). What is the derivative of i(t) wrt t?\nAnswer: 783*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 615, -2, 3, -20 in decreasing order.\nAnswer: 615, 3, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 30 = 6*j. Suppose -j*v + 1372 = -2827. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5500659 to the nearest integer?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/5 + 31\/10. Let 3\/8*a**2 + 0*a + 1\/8*a**3 - y = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -22) + -3 - -1. Let h be (-1 + 0)\/((-4)\/w). Let k be 0\/((-2 + h)*-1). Solve -p + 1 = -2*z + 4, k = -2*p + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*k + 15 = 0, -3*i + 3*k + 23 = i. Solve 0 = 4*r + i*r - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aquaaaaauuaau. What is prob of sequence uu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (-73 - (2 + 2)). Is h smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + (14 - -1). Suppose -12*m = 13*m - 275. Let y = b - m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = 0, 2*m + 3*m - 52 = 3*s. Let h(x) = 3*x**2 - 7*x - 5 + 15 - m + 2. Let l be h(-3). What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032 (base 6) to base 13\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o + 302 = t, 910 = 3*t + 5*o. Suppose 3*w = 204 + t. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2. Let u(t) be the first derivative of -5\/6*t**4 + 3 + 0*t**2 + 0*t**3 + 4*t. Let b(w) be the first derivative of u(w). Calculate h(b(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/3) + 17. Suppose -2*g = -5*g - h. What is the units digit of g*3*(-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - 2*k)*(-36 - 2338*k - 15 + 51)*(-3*k + 6*k - 2*k).\nAnswer: -2338*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1349668320 to the nearest one million.\nAnswer: 1350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (238 - -2)\/(-4) + (-2401)\/343?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 8) to base 4.\nAnswer: -11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 14774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - 25976542367\nAnswer: -25976542366.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.8 and 15.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2414*z**2 + z + 1. Let m be o(-1). Let a be (-2)\/(-18)*m\/(-92). Let y = -9\/46 - a. Calculate the common denominator of -8\/7 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4426 - -4831. Calculate the highest common divisor of 120 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1 - 126515*n**3 - 2*n + 1 + 126516*n**3 - 2*n**2. Give w(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = 26568 - 91966. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 129933 (b) 1\/3 (c) 0.03 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 10.2. Let j = 5.7969 - u. Round j to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + (-4966)\/507*9. Is a bigger than -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -2, -4\/3, -0.94, 2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 30*b**3 - 4*b**2 + 9*b - 4. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9752 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35922150*s**2 - 35356399*s?\nAnswer: -71844300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22480.74cm?\nAnswer: 224807.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 4*o**2 - 2*o - 2. Let w(c) = -2*c**3 - 3*c**2 - c - 2. Let a be w(-2). Does 15 divide i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 0, 0*g - k - 458 = -3*g. Suppose 0 = -2*o + 13*o - g. Calculate the greatest common factor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u**2 + 18*u + 3. Let a = -22 + 85. Let p = a + -57. Let s be t(p). Solve 4*j = -s*q + 5, 5*q + 0*q = -3*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2 + 2*n - 5. Let a be j(-3). Let m = a - -93. Solve 2 = 5*l - 23, 4*x = 2*l + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 4. Let j(i) = -1. Let w(s) = 12*j(s) + 3*k(s). What is b in w(b) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6456 is divided by 199.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 475445431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576356.\nAnswer: 2, 11, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 5 in increasing order.\nAnswer: 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*n + n + x, 4*x = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d)\/((d\/d**5)\/d))**(-1) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 29*m. Let c be 27\/33 - 1*(-14)\/77. What is t(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and 3671220\/37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6)\/p))**12*(p**(1\/5))**(-12) assuming p is positive.\nAnswer: p**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4118 is divided by 286?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85156)\/(-20) - 7 - (-8)\/(-10). Suppose -r = -l - 16*l. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3938 is divided by 571?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5828 = -z, -2*r + 16671 + 12469 = 5*z. Is z a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*l**4*m + 167*l*m wrt l?\nAnswer: -2724*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {a: 2, p: 1, k: 1, i: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29984 - 739958. Let a = n - -709967.99991. Let m = 6 + a. What is m rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(3\/5))\/((u**(-9\/2)\/u)\/u))**(-10)*((u*((u\/u**(-1\/3))\/u)\/u*u)**(1\/4))**(-5\/4) assuming u is positive.\nAnswer: u**(-833\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 - 3. Let f be (0 + -9)*(56\/(-18) - -3). Factor 2*j**k - 3 + j - f - 2*j - 5*j.\nAnswer: 2*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983238.\nAnswer: 2, 3, 37, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 132*b**3 - 366*b**2 - 132*b + 369 = 0. Calculate b.\nAnswer: -1, 1, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -4 in decreasing order.\nAnswer: 5, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 7. Let z be m(4). Suppose -j + 34 - 36 = -3*t, -3*j - 2 = -5*t. Solve -41 = z*f + 4*g, f + g = -t - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12*0\/2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 190\/8 - 5\/(-20). Suppose h + 36*a - 28 = 32*a, -2*h + 51 = 3*a. Is b >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and 0.0689.\nAnswer: -1.4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 - 4*r + 2. Let k(x) = -x**2 - x. Let q(m) = 4*k(m) - t(m). Let z(y) = -9*y**2 + 17. Let b = -142 + 148. Calculate b*z(f) + 51*q(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88570777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let i(l) be the second derivative of l**3\/2 + 9*l. Determine i(p(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.2215 micrometers to meters.\nAnswer: 0.0001592215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800025 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69755 times -1.482\nAnswer: -103376.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + 55. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2292 - 0.1708. Let u = -0.07 - 0.63. Let q = u + 0.5. Sort q, o, -2\/15 in increasing order.\nAnswer: o, q, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087940703 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*y = -4*p + 1230, -3*y = -3*p + 1863. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*z + 4*l - 3 - 28 = 137*z, -40*l + 175 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**5 - 218*f**4 + 1614*f**3 - 1742*f**2 + 338*f = 0.\nAnswer: 0, 1\/4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - j**3 + 3*j - 3634031797*j**2 + 3634031797*j**2 - j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4955153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 32 = -10*t, -1 = -4*t + 4*t + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2771517 divided by 1.\nAnswer: 2771517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyyeyeyyyeye. What is prob of picking 2 y and 2 e?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27912097 divided by -3\nAnswer: 27912097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttxtx. Give prob of picking 4 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -18*v - 236, 361539 = 5*h + 361529 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 37*k - 48 as b*k + s and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nttt when four letters picked without replacement from {t: 2, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 11*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5))**(-1\/2))**30)**27 assuming c is positive.\nAnswer: c**2025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((8 - -2) + (79 - 113)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/18? (a) 42 (b) 0.2 (c) 4 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 6*t + 4. Let o be i(-5). Suppose 109 = 4*v - 3*z, -2*z + o = -0*v + 4*v. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 810 = -g - 4348, 6*g = 0. List the prime factors of x.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 2, -574\/15, 173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157663554 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.5 - 41.4. Let k = 0.03 - -0.37. Let t = k + -3.4. Which is the third smallest value? (a) 3 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.1 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61840486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 33.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 1682 - 422. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - l - 6*l + (4 + 1 - 4)*(-41*l + 9*l - 29*l)*(-1 - 2 + 2).\nAnswer: 53*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*t = -10 - 12, -b = -4*t - 16. Let u = 178 - 174. What is the greatest common divisor of u and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2279, 4519, 6727, 8897, 11023?\nAnswer: 13099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255247319.\nAnswer: 255247319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3112.076 years?\nAnswer: 31.12076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1857 - 803. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 208 = -6*r - 217 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 464 = -17*g. What is the derivative of 254 - g*v**4 + 3 - 22 - 77*v**4 wrt v?\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 72, -18, -158?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -50, -46, -28, 10, 74?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*v - v - 70, -5*v = -20. Suppose 2*n = -0*g - 3*g - h, -n + 3*g = -9. Let b be (n\/3)\/(2\/4). What is the closest to 1 in -1, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286430377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1039271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4379822 by 5.\nAnswer: -4379822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 13 + -3 + 57. Let x = j + -9. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 24. Suppose 4*z - 40 = 4*p, -z + 3*p + h = -6. Let g = 80 - 79.6. Put z, g, 1 in ascending order.\nAnswer: g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0485 - -973.9515. Let y = g + -974.00000453. What is y rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10049 + -9372. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534856.\nAnswer: 2, 566857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -22*h**2 + 3 - 29*h**2 + 75*h**2 - 27*h**2. Let l(q) = 24*q**2. What is l(o(v))?\nAnswer: 216*v**4 - 432*v**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 523760352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c + 19. Let n = 940 + -944. What is g(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084571.\nAnswer: 7, 440653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(216) + sqrt(384)*1)\/((sqrt(96) - sqrt(96)*2)\/sqrt(2)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovooiikmo. What is prob of picking 1 k, 1 i, and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 49. Suppose -6 = 4*r - 2*k, -k = 2*r - 0*k + 1. Let o = a - r. Solve -5*h - o - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:17 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Suppose 4*d - 318 = -x*l + 5*l, -81 = -d + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 6*l**2 + 132*l**3 - 198*l**3 - l**4 as w + m*l**2 + v*l**3 + h*l**4 + a*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100213101220 - -3?\nAnswer: 100213101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -18, 29, -5 in descending order.\nAnswer: 29, 2, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158400 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 405, 271, -89, -789, -1943, -3665, -6069?\n\"Answer: -19*m**3 + m**2 - 4*m + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-28)\/(-7)))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154289 is divided by 796?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 12, -2\/11, 452, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 750 + -9756\/13. What is the nearest to 0.2 in 0.3, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -90. Is q > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.7902 - -92.3902. Suppose 0 = -m - v - 1, 3*m + v - 4 = -3. Which is the biggest value? (a) m (b) u (c) 18\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/7)*o*o*o*o**(1\/5) assuming o is positive.\nAnswer: o**(137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 9. Let i be u(6). Let m = i + -5. Let n(t) = -5*t**2 + 4*t**2 + t**3 + t + 4*t**2. Calculate n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39 - 26 - (-1 - 1). Suppose -10*w + 96 = -7*w. Let r = w - 18. Is r bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -19. Sort 2, y, -4 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/225*3\/(-2). Let l be 2*1\/(-2)*-3. Let j be 0\/(l*(0 + 1)). Is j at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -134 (c) 3.7 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 360*d - 73853. Give b(146).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 - (6 - 1). Let w be ((-9)\/(-3) + n)\/1. Suppose -41*c - 15 = -46*c. Put c, 0.9, w in descending order.\nAnswer: c, 0.9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vqfvvqfqqqff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 1, x: 2, n: 2}. Give prob of sequence rnni.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 229968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 2. Let i be c(-4). Solve 5*g = -5*o - 35, i*g = 3*g - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 72*k = -69*k - 76327, 3*k + 305338 = 4*v. What is the ten thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*g + 50*g - 30*g - 2*g**2)*(4 - 4 - g).\nAnswer: 2*g**3 - 63*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 7*r - 3*g + 8, 0 = 2*g - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/4)\/(x**(1\/4)\/x))\/(x*x**(-2\/7)\/x*x*x*x)**(2\/21))**(-43\/5) assuming x is positive.\nAnswer: x**(9589\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 11. Let f be r(5). Suppose 4*o - 4 = 5*t, 2*t + f = o - 3*t. Let d(m) = 2 - o + 2 + m**2 + 3*m. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413886 is divided by 32128?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 166*p = 63*p. What is the closest to -0.1 in 0.658, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 5 (c) -228\/121 (d) -0.1 (e) -1\/4 (f) 0.5 (g) 18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16\/(u\/(u*u**13\/u)) assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -9, 3, 15, 27, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623151525649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0193 + 0.019539. What is i rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43268361 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -16, -63, -2 in decreasing order.\nAnswer: 0, -2, -3, -16, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*w + 847*w = 415*w - 231 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11.32498km?\nAnswer: 11324980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*r**3*w + 2*i*r*w**2 - 2*i*r*w + i*r + 2*i*w**2 + 1948*i*w + 43905*r**3*w**2 wrt r.\nAnswer: 6*i*r*w + 263430*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -387*m + 2. Let d be v(-1). Suppose d = 2*u + 3*u - 2*x, 81 = u - 2*x. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) - 86\/18. Let d be 2\/(2*4\/(-28)). Which is greater: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - f**4 - 2*f**4)*(-2*f + 0*f + 3*f) + f**5 + f**5 - f**5 + 5*f**4 - 121*f**4 + 30*f**2 - 2*f**3 + 3*f**5 + 115*f**4.\nAnswer: f**5 - f**4 - 2*f**3 + 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137916 less than 4?\nAnswer: -137912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 6*s - 2535. Suppose -6*m + s = -m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p - 19*p = 0. Solve -2*r - 2 - 2 = 4*d, p = 3*r - 2*d + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**5\/210 - 5*p**4\/28 - 26*p**3\/21 + 115*p**2\/2 - 127. Let m(d) be the second derivative of t(d). Factor m(v).\nAnswer: -2*(v + 2)*(v + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24996 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/32 - 720\/128. Is 43 a factor of 151 - ((10 - 8) + (j - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6286, -4233, -2154, -43, 2106?\nAnswer: 4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38346 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeem. Give prob of sequence mee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 7.9.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = -53*m - 36*m - 32*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -18 - (47 + -23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 528631057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + (8 - 6 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 + 1071*v**2 - 127449*v + 5055477 = 0. What is v?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 + 0 = -4*u, -3*d + 20 = -2*u. Let i = 4369 - 4367. Solve -3*a + 24 = 3*x, i*x + 7 = -a + d*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137351923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 5 = -71. List the prime factors of o*((-2433)\/(-6) + 5).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-50)*(-975)\/351)\/(40\/9).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let c be (-1 - (-29)\/5)*290\/87. Suppose -2*m + c = -2*h, 2*h = o*m - 7 - 17. Solve m = 5*t - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*p + 23 = 3*i + 720*p, i - 3*p - 17 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -4.4. Let w = -12924 - -12932. Which is the second biggest value? (a) o (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w - 7*w + 4*w to k*w + d and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhdj when four letters picked without replacement from {j: 3, m: 1, d: 2, r: 1, q: 7, h: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1641997 from -3.\nAnswer: 1641994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699, -660, -441, 60, 945, 2316, 4275?\nAnswer: 6924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.15426699*-0.4\nAnswer: -3.661706796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.32. Let d = 49 - 57. Let w = d + 5. What is the third smallest value in 2\/9, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -196.000024. What is a rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12258527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)*d*d*d)**(-1\/28) assuming d is positive.\nAnswer: d**(-9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - -0.08. Let a = -9470 - -9469.9. What is the closest to -0.1 in h, a, 4\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132874695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3 + d**2\/2 + 19*d. What is the derivative of k(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25773140 to the nearest integer?\nAnswer: 5077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2180 - 1262. Is j a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 495.4095 days?\nAnswer: 42803380800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 7\/17 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 5. Let p(z) = -13*z + 8. Let u(y) = 5*a(y) - 3*p(y). Let f(t) = 5*t. Calculate -5*f(j) + 3*u(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -86. Let k = c - -57. Let h(v) be the first derivative of -2*v**3\/3 + 3*v - 1. Let b(d) = 10*d**2 - 14. Determine k*b(p) - 14*h(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1398 (b) -2\/35 (c) -11\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16034399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13847 + -13845. Let r(q) be the third derivative of -6*q**f - 1\/48*q**4 + 0*q + 1\/18*q**3 + 1\/720*q**6 + 0 + 0*q**5. Let r(o) = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - 6*r. Let g(x) = x**2 + x. Let z(w) = 30*g(w) + 5*i(w). Let o(l) = -l. What is z(o(m))?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (220\/(-70) + 3)\/(2\/4). Sort 0, -0.3, a in increasing order.\nAnswer: -0.3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48950 - 26571. Suppose 5*q + i + 15556 = 0. Let n = -13487 - q. What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5085, -0.111, -7?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 382 = -a, -4*x - 388 = -6*x + 2*a. Calculate the highest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*u + 3. Is 2\/u - 5*(-26)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 732*l - 3049. Determine n(4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 363 = -2*v, l + 336 = -5*v + 1211. Suppose -219 = -5*a - q, -v = -29*a + 25*a - 2*q. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-4 + 3))\/(-6 + 4). Which is the closest to k? (a) -4\/5 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582813463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*h + 3*u - 37, 0 = -2*u + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-10 + (-44 - -28)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let x(j) be the third derivative of -73*j**5\/30 - 2*j**2. Determine x(f(w)).\nAnswer: -584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + h - 5*h + (5 - 4 + 1)*(-h + 3*h + 0*h) - 45*h - 33 + 33.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 1\/108*s**4 + 0 - 1\/270*s**5 - 5*s**2 + 0*s + 0*s**3. Factor c(y).\nAnswer: -2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98300?\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2266*w + 8316. Let i(m) = 4515*m + 16630. Let j(l) = 13*h(l) - 7*i(l). Find the first derivative of j(r) wrt r.\nAnswer: -2147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381630 to the power of 1\/2, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 5:10 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.073 * 6937627\nAnswer: 506446.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1877311 by 4.\nAnswer: 1877311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, o: 2, i: 2, b: 2, a: 5}. Give prob of sequence oda.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.466? (a) -63 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/24 - o**3 + 2*o**2 - 4*o. Let j(d) be the first derivative of y(d). What is the derivative of j(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 125\/4. Let n = 5171\/10 + -517. Put n, -0.4, h in descending order.\nAnswer: n, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 4*x - 41*x**3.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s + 12. Let p be z(-8). Suppose -2*r + 4*r = p. Suppose 3*c + 12 = r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1170 and -3.\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9593.\nAnswer: 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = -w, 17*p = 3*w + 12*p - 1. Let l(x) = x**3 + 7*x**2 + 7*x + 4. Let v be l(-6). What is the remainder when 50 is divided by (v\/4)\/(w\/(-52))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*f + 23408 = -151*f. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.876 - 0.124. Let i(c) = c**3 - 4*c**2 - 310*c + 633. Let a be i(2). What is the second biggest value in a, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 26*o + 66690 = 0. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**18*m**3*m**(-2\/3)*((m*m**(-1\/4)*m)\/((m\/(m\/(m\/((m\/m**(3\/5))\/m))))\/m))\/(m**(2\/11)\/(m*m**(1\/5))) assuming m is positive.\nAnswer: m**(5941\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 0*k - 3*k + (3*k + 2*k - 4*k)*(1 + 1 - 3) + k - 3*k + k as l + t*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*g - 28, -3*g + 5*w = 6*w - 19. Let v = -119 - -122. Which is the third smallest value? (a) 1 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 42256*i + 2115307. Calculate y(50).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 343*w**2 + 343*w**2 + 6*w**3 + 1 - 682*w**2 + w**4 in the form q + s*w + k*w**4 + x*w**2 + t*w**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 810338759 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 1, o: 2, k: 7}. What is prob of picking 1 i and 2 k?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2989000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 245\/4*j**2 - 5\/4*j**3 + 720 - 780*j = 0. Calculate j.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 1, 4, 12 in descending order.\nAnswer: 12, 9, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -125 in ascending order.\nAnswer: -125, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*(c\/c**(1\/3))\/c))**(23\/4)\/(c**(2\/3)*c**(-2\/7)*c) assuming c is positive.\nAnswer: c**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31)\/((-217)\/84) - (0 - 1). Suppose -2 = y, 12*p - l*p - 3*y + 78 = 0. What is the highest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 473 divided by 473\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 9. Suppose v*n = -2*n - 2*n. Is n\/(-1) + (91 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*w - 62 + 67, r - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p + 4. Let h = 2 - 2. Suppose t - 2*y - 5 = h, -7*y + 4*y = -6. What is the remainder when j(2) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 34\/4. Suppose -v + 3 = -1. Calculate the greatest common divisor of v and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, 9, 42, 89, 150, 225?\n\"Answer: 7*y**2 - 2*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5631970 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 40*m**2 - m + 32. What is w(20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7683031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*j + 0 = -6, -8*d - 46*d - j + 84 = -12*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 11 + 13 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1106\/(-91) - -7) + 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11603, 23209, 34815, 46421?\n\"Answer: 11606*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1118*t**4 + t**3 + 2*t**2 - 4739*t.\nAnswer: -13416*t**2 + 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165\/2 in 4, -5, 6\/7, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -5 (b) 5 (c) 1\/6 (d) 14 (e) 1560 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 77. Suppose -27 + k = 4*r. Sort r, -1\/16, -4 in descending order.\nAnswer: -1\/16, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let s(r) = 1 - 3 - i + 2. Let q(p) = p**2 + 6*p. Let c(m) = -q(m) + 3*s(m). Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34733925603*j**4\/2 + 8608080*j**3 + 3200*j**2\/3 = 0. What is j?\nAnswer: -80\/322803, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -519, -1742, -4119, -8034, -13871, -22014?\n\"Answer: -64*h**3 - h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-4\/9)))**46\/(y**(-7)\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(485\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(-z + 0*z + 3*z)*(-1 - z + 1).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*t**3 + 2862*t - 2862*t + 12*t**2 to c*t + l*t**2 + k + u*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -o + 5*x, 4*o + 4*x = 5*x - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13228.\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(4\/3))\/(j*j**(-2\/9)*j)*(j*j**(-2\/5))**(-11))**36 assuming j is positive.\nAnswer: j**(-1088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5879076 and 47311.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -30*v**3 + v + 25*v**2 - 32*v**3 + 63*v**3 + 37*v. What is the tens digit of z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2589 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/11271 and 13\/867?\nAnswer: 11271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077614879 to four dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f - f + 4*f + 2 - 15*f as i*f + a and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + 140. Suppose 3*w - 153 = -4*m + 9*m, 2*m = -5*w + z. What is the remainder when w is divided by (6\/4 - 1)*38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213123103 (base 4) to base 11.\nAnswer: 100370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 4*a + 25. Solve 2*z + a*t = 15, 0 = 5*z - 0*z - 2*t + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4741413.\nAnswer: 3, 29, 54499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 4*w**3 + 5*w**2 - 2*w - 10. Let y be v(-11). Solve y*f = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-3\/5)\/(((g\/(g\/g**0))\/g)\/g)**(2\/103))\/((g\/(g\/(g**0\/g)))**6)**(-21) assuming g is positive.\nAnswer: g**(-454708\/3605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.833 + -25.7. Let z = h - 0.033. Let a = -1 - -4. What is the fourth smallest value in z, 1, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(-z**2 + 22*z**2 + 41*z**2) to i + q*z**2 + v*z and give q.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = -10. Let h = w + 16. Calculate the lowest common multiple of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3845, 30866, 104273, 247274, 483077, 834890, 1325921?\nAnswer: 1979378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 15) to base 14\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*b - 21, -2 = -4*z + 2. Suppose 3*f = b*f - 5060. What is the remainder when 112 is divided by (f\/(-8))\/(-11)*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = -102. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-1880)\/(-68) - (-6)\/17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-576)*-24)\/(5\/(-16)*20\/(-50))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(343) + (1 + 2 + sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343))**2*4*-6 + 2.\nAnswer: -10080*sqrt(7) + 370922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 - 11?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 + r**4\/12 + r**3\/6 - r**2\/2 + r. Let o = -14 + 21. Let l(k) = -4*k + 26. Let t be l(o). Calculate i(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k + 3, 2*t - 4*k = 124. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 (base 12) in base 4?\nAnswer: 13011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2466 = 2*k + 4*x, -4*x = 11*k - 13*k + 2442. Suppose q - k = -2*s, 7*q - 2424 = 5*q + 2*s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5. Let o = -11 - c. What are the prime factors of o\/(-25) + (-38)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from pppoooovvvv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z + 95*z**2 + 11*z + z.\nAnswer: 95*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -4*j + 4*n, 1 - 130 = 2*j + n. Let y(i) = i**2 + 25*i + 83. Suppose 11*a + 64 = -112. Let m be y(a). Is j at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3.799.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 16*l**2 + 11*l + 10. Let z be q(15). Let v = -46 - z. Let m = v - -150. Calculate the remainder when m is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emv when three letters picked without replacement from {m: 1, v: 1, e: 3, y: 8, g: 6}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 25412.\nAnswer: 25412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let m(o) be the second derivative of -o**3\/6 + 3*o**2\/2 + 2*o. Let r be m(v). Solve -f - f - 5*c = 5, r*c = -9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4148, 5 in descending order.\nAnswer: 5, 0, -4148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6478683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000926707 rounded to seven decimal places?\nAnswer: -0.0000927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 3.1. Let j = -1.96 + -0.04. Which is the nearest to -1? (a) -0.2 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3676 (b) 0.1 (c) -2 (d) 12 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d + 9*d - d - 4 + (4 - 3 + 2)*(3*d - 3*d - 11*d) to the form v*d + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 2 (c) 160\/9 (d) -4 (e) 4\/5 (f) 0.1 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 115, 293, 625, 1159, 1943, 3025?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6300*y**2 - 3*y - 3. Let m be t(-2). Let d be (3 - m)*10\/(-3). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006268 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116000976 divided by -156?\nAnswer: -743596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let t = 702 + -335. Suppose -5*q = -3*p + t, -4*q + 351 = 3*p - q. Let o(c) = 6*c - p + 119. What is o(f(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/15*200\/(-16). Solve -2*m = -7*m - y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -33353*j - 233476. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170*-31*(-196)\/4557*(-9)\/(-60)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765235569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-288*s + 1166 - 1166)*(0 + 1 + 0) in the form l + i*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 8 = -6*o. Suppose 0*t - 2*t = -o. Suppose 0 = 4*g - v - t, -3*v + 2 = 2*g - 6*v. Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 3. Let l be (-92)\/(-20) - (-4)\/10. Let m(i) = i + 5. Let c = 39 + -30. Suppose 0 = 6*w - 3*w + c. Calculate l*r(d) + w*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1407058.\nAnswer: 59096436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -117*x**3 + 122*x**3 - x**2 + 5*x**2. Let h = 11 + -2. Let d(q) = -36*q**3 + 9*q**2 + 28*q**3 + 19*q**3. Give h*o(n) - 4*d(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448 (base 10) to base 11.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66564 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 + 261655?\nAnswer: 261614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 88. What is the second smallest value in -2\/9, j, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*n + 12*t - 14*t, 0 = 6*n - 4*t - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:34 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 10, l: 9}. What is prob of picking 1 f and 2 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94)\/(-9)*(35\/(-10) - 1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2840)\/2*1 - (-12)\/(-3). Let l be (-5 - (-46)\/8)*s. What are the prime factors of ((-6)\/(-4))\/(((-42)\/l)\/7)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15) - (-11)\/(-21). Which is the biggest value? (a) 1\/6 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrj when three letters picked without replacement from {j: 2, m: 2, u: 4, h: 1, r: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.19 in -1\/2, 84\/29, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 73 = i - 371, 0 = -i + 3*o + 440. Calculate the greatest common factor of 62 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*l + 384 - 99, 224 = -4*l + 3*d. Which is greater: -64 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = i - 4*r, 3*i + 83 = -4*r + 89 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 2, v: 5}. Give prob of picking 3 v.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28320780440283+0.4\nAnswer: -28320780440282.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6)\/sqrt(75))**2 + -4 + (sqrt(36)\/sqrt(2)*4)\/(sqrt(324) + sqrt(324)*2).\nAnswer: 2\/25 + 46*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1252495847089.3 - 0.2.\nAnswer: 1252495847089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 2) + (-34 - -42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -5*l + 21. Suppose -4*u = u - l. Calculate the highest common factor of u and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from ewppwepewewwpp?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*17313.\nAnswer: 12119.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 162969861*q. Let b(d) = -2*d**2. Calculate b(f(i)).\nAnswer: -53118351188718642*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6660240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5768327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 80926.491 and 828434.\nAnswer: 909360.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*z = -6*z + 47, -3*b + 3*z + 39 = 0. Let f be (-22)\/b*(1\/(-2) + 1). What is the units digit of (f + 2)\/(1*4\/412)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Let f = -4 + 6. Suppose f*t - 26 = -6. List the prime factors of m(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 2*c - 1. Let s be r(-8). Let u = s + 74. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-22)*l**(-2\/5)*l assuming l is positive.\nAnswer: l**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 24*x**2 + 23*x + 8. Determine s(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915446 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (18955\/(-170))\/(1\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 420 in -4, -1\/2, 4, -0.2, 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1805.57513963 + -5750.57515766. Let p = c - -3945. Round p to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -8*a + 777. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19922 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 2725524*i - 4642800671610.\nAnswer: -2*(i + 3406905)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1350, 1391, 1454, 1545, 1670, 1835?\n\"Answer: n**3 + 5*n**2 + 19*n + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 16*u**2 - 8*u - 17. Is n(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4713342 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 587. Is 50 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.25636 rounded to zero decimal places?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + x**3 + 16*x**3 - 10*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.3 (b) -8 (c) -1\/4 (d) -0.1 (e) 2\/40799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*y + 9*z + 147, -4*z - 55 = y. Suppose 8 = -s + 3. Sort -4, y, s.\nAnswer: s, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnffppnpfpnppp. What is prob of picking 3 p and 1 f?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2160*12*10\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -3 - 13) + 46 + 35 + 4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(-3\/17)\/(h*(h\/((h\/h**(1\/13))\/h))\/h*h*h**(-2\/11)) assuming h is positive.\nAnswer: h**(-9643\/4862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let a(f) = f - 2. Let h(d) = -3*d + 5. Let s(z) = 11*a(z) + 6*h(z). Let j(g) = 2*g - 3. Let w(t) = 8*j(t) + 3*s(t). Determine w(x(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 65280 - 707040 = 0. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*q*u**2 - 34912*q*u + 79385717*q - u**2 + 2*u wrt u?\nAnswer: 28*q*u - 34912*q - 2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -101.\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 1 (b) 3\/65 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 53*m - 109. Give q(16).\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7539 + -7544. Put 6, d, -1, 4, -4 in descending order.\nAnswer: 6, 4, -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10665950?\nAnswer: 2, 5, 213319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 0*k)*(-3 + 3 + 2) + k - 2*k - k + (-3*k + 3*k + k)*(-24 - 62 + 15) + 8*k - 5*k + 4*k.\nAnswer: -70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.114 and 45?\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/(-12))\/(((-2190)\/949)\/15*26\/24).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445\/28 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:58 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77284651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*w + 1361922 = -17*w. What are the prime factors of w?\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/10)\/(6\/270). Let y be (-2)\/(33\/h + -2). Suppose -3*g - 6 = -3*q, 2*q + g - 2 = q. Solve -y = q*m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-4 + -27 + 4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38073?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/28)\/((-6)\/(-8)). Suppose 3*r - t - i*t = 4955, -5*t - 6608 = -4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 36 = 2*q, 3*f + 2*q - 92 + 60 = 0. Factor -8\/3 + f*j - 4\/3*j**2.\nAnswer: -4*(j - 2)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 27. Let g be n(-12). Solve -g = -4*d + 7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*v + 148*v = 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309361.\nAnswer: 13, 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24\/19, 50, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -126339656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64405, -52122, -39839?\n\"Answer: 12283*j - 76688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342*5.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241664865.\nAnswer: 3, 5, 13, 41, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*q - 8492 = -183*q + v, 5*v = -2*q + 17040. What is the greatest common divisor of q and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-90))\/(-1))\/((-1794)\/(-17940))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19291 or 312?\nAnswer: -19291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-6)*4 + (-560)\/840. Solve -3*p = -j - 5 - f, 4*p = 3*j + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvqmcmvqvf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 10*c**2 - 4*c**2 + 39*c**2 - 9*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 36*s**2 + 2. Let y(q) = 5*q - 21. Let f(r) = 2*r - 9. Let k(i) = -7*f(i) + 3*y(i). What is k(b(l))?\nAnswer: 36*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/6 + 75*y**2 - 1475*y\/2 + 5500\/3 = 0.\nAnswer: 5, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241 + 489. Suppose -2*g - 96 - 19 = -k, 4*g = -4*k - s. Is g\/(-1) - (-2 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 2\/3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/((-3408)\/(-13632)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -565.51442 to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let g(d) = -10*d + 49. Let i be g(5). Determine h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z**2. Let j(f) = 5*f**3 + 5*f**2 - f - 6. Let l be 9\/(-6) - (-3)\/6. Let d(q) = l*j(q) - 6*v(q). Let s = -2 + 2. Determine d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/21 and 119\/4656?\nAnswer: 32592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1365)\/(-336) - -3*(-1)\/48. What is the highest common factor of 113 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*b**2*o**2 + 179*b**2 - 2*o**4 - 5*o wrt o.\nAnswer: 442*b**2 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 28. Calculate the remainder when 99 is divided by (51\/(-2))\/(z - 2\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 7*r**2\/2 + 2*r - 3. Let b(g) = 8*g + 3. Calculate 4*b(x) - 5*p(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - -9. Let o = 89 - q. Solve o = 2*h + 4*h + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 44 = -o. Suppose 0 = p - 8*n + 3*n + o, -n + 40 = -p. Round p to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 67 = 0. Let x = 69 + w. Does 13 divide 5\/(45\/312) + x\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(-3*sqrt(19))**2.\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 1 = z - 2*f, 0 = -z + 3*f + 16. Suppose -8*o = -z*o + 6. What is the remainder when 10 is divided by -1*-3*(4 - o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12618?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((28\/21)\/(-4)). Let l = 10 - 6. Sort -2, f, l in descending order.\nAnswer: l, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 + 244253*y**4 + 2*y**3 + 120901*y**2 wrt y?\nAnswer: -120*y**3 + 5862072*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + -21 + 22 - (150 - 112).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 10. Suppose 0 = 5*l - 97 - 123. Suppose -2*j + 42 = 4*k, -3*j + l = -2*k + 5. Let i = -15 + j. What is s(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 924.433 - 925. Let a = 0.5669281 + k. Round a to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.19 - -2.49. Let s = -2.2 + 7.9. Let i = u + s. What is the third biggest value in -4, i, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 16*u - 12. Suppose 2*x = -2*d + 12, 4*d - u*x - 2 + 6 = 0. Solve -2\/3*c - 2\/3 - 1\/6*c**d = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 (base 10) in base 6?\nAnswer: 5405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 12, -5966, 5, 0 in descending order.\nAnswer: 12, 5, 2, 0, -4, -5966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 30*x**2 - 2*x. Let v(h) = -2*h + 1. What is u(d) - v(d)?\nAnswer: 30*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4*o = -30, 2*z = -5*o + 4 + 8 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 352*g**3 + 16126*g**2 + 60344*g + 58968.\nAnswer: 2*(g + 2)**2*(g + 81)*(g + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j + 68. Let q(r) = -r**3 - 6*r**2 - 2*r + 4. Let g be q(-5). What is the units digit of p(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17431, -17422, -17401, -17362, -17299, -17206, -17077?\nAnswer: -16906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, -1, -0.4, 0.013, -6, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times 0.4\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -8. Suppose -63 = -5*a + 217. Calculate the smallest common multiple of h and a.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -110, 4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 45 - 109*n + 46 + 15.\nAnswer: -109*n + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -10*x + 775. Let p = -2 - -5. Suppose -u - k + 118 = 4*k, u + p*k = x. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236\/168 + -2 - ((-649)\/(-462) - (-6)\/63).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -27*v**2 - 10781*v - 56338. Determine f(-394).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-20)*(((-603)\/(-6))\/((-18)\/12) + 9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155956*o + 378 + 546 = -156033*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -9*j + 27*j. Let q(b) = b**3 + 10*b**2 + 15*b + 5. Let u(s) = 5*s**3 + 40*s**2 + 59*s + 21. Let v(d) = -9*q(d) + 2*u(d). Does 6 divide v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6abd7 (base 15) to base 5.\nAnswer: -41341202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3 - 8832*h**2 - 115612*h + 266520 = 0.\nAnswer: -15, 2, 2221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -50. Let s = -58 - f. Let q = 14.9632 + s. What is q rounded to three dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -4*s - 16, -4*s - 4*y + 5*y = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -125, -132?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 7}. Give prob of sequence ysys.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + -0.124?\nAnswer: -74.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/(-316))\/(51\/16)*8\/(-16)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6381 + u - 12797 + 6353 in the form b + t*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.02 + -0.02. Let i = 23963.000016 - 23965. Let z = h + i. Round z to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 at most 477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -207*w**2 - 115*w + 116. What is l(1)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498 and 53220347.\nAnswer: 319322082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/14 + (-6716)\/(-161) + -27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 14269408*z - 12726000291904 = 0 for z.\nAnswer: 1783676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142.7 + -144. Let q = -0.1919398 - -1.4919482. Let n = i + q. Round n to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(47 - 2 - 2). Suppose -504 + 332 = -43*r. Solve r*g + 51 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12113 + -11333203?\nAnswer: -12011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407360 by 12730.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 3*v**2 + v**3 + (4*v**2 - 6*v**2 + v**2)*(-v - v + 4*v) + (-5*v**2 + 4*v**2 + 0*v**2)*(2*v - v + 2*v) + 3*v**3 + 3*v**3 - 4*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*t**3 - t + 1 + 28*t**3 + 3*t + (0*t + 0*t + 3*t)*(t**2 - 3*t + 3*t) to the form q*t**3 + d*t + r*t**2 + z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2. Let n(d) = 3*d - 1 - 10*d + 8*d. Let t(m) = 2*m**2 - m + 1. Let h(v) = n(v) + t(v). Determine h(i(k)).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1182 and -88350?\nAnswer: -104429700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(6) - 3*(sqrt(6)*2 - sqrt(6))))\/(-2*-2*sqrt(12)*2))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 115236*a - 345735 = 0. What is a?\nAnswer: -38415, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 4*r = 817, -4*z = -2*r - 3198. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let a(p) = -p + 4. Suppose 6*m - 3*m - 15 = 0. Let s(o) = 1 - o + m - 1. Let f(g) = -5*a(g) + 4*s(g). What is i(f(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 75144*f**2\/5 + 3610368*f\/5 - 8667648.\nAnswer: -2*(f - 24)**2*(f + 37620)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 42\/85, 3, 1\/11, 43\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1312955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 19*x - 4. Is 18 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**4\/24 - 2*z**3\/3 + 2*z**2. What is l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/582*(-3 + 1). Let a = r + -673\/194. What is the common denominator of a and -79\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1493 - 1493. Solve 4*h - 5*r = 5, 3*h - h + 4*r + 30 = a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 2*x**2 + (-2 + 4 - 3)*(-x**2 + x**2 + 2*x**2) + 3*x + 4*x**2 - 3*x - 2 + 1 - x**2 - x**2)*(-2*x - 2*x + 2*x)*(6*x**2 - 6*x**2 + 2*x**2).\nAnswer: 4*x**5 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c - 9*c**3 - 12*c + 2*c**2 - c**2 + c**2 as u*c**2 + i + k*c + o*c**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1beb5 - 236?\nAnswer: -1c0eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:04 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 + z**4 + 122*z**3 + 20442*z**2 wrt z?\nAnswer: -240*z**3 + 24*z + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 757, 2871, 5891, 9403, 12993?\n\"Answer: -69*n**3 + 867*n**2 - 4*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 2. Let i = -76054 + 76056. Let z(s) = s**2 - 7*s - 7. Let t be z(8). Solve -t = i*r + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a1 (base 13) to base 8\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 10) to base 15.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.05 (b) -1\/6 (c) 0.2 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26*f - 200. Let m(k) = -4*k + 30. Let n(q) = 20*m(q) + 3*v(q). Let p(o) = 675*o**2 - 3. What is n(p(i))?\nAnswer: -1350*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 + 2. Let h = -18 - -13. Let u be a(h). Solve -u*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 200, 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 32 + 8 = 0. Let q be -1*10*(273\/(-35))\/13. Is q bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/2)\/((-8)\/(-80)). Let x = r + -22. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 5. Suppose 21*z = 33*z - 60. Let m(l) = 46*l + 111 - 39*l - 117. Give z*m(y) + 6*v(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2607857 or -5215713\/2?\nAnswer: -2607857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21201 = 7*l + 7831. What is l rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*j + 90*j**2 + 88*j + 105*j + 59*j**2.\nAnswer: 149*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1604689 and 614?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 = 3*l + 6, -5*l = -2*i + 10. Suppose -7*s + 5*s + 4 = i. Solve -3*n - 2 = -5*n + s*c, -n - 2*c + 10 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60531715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 264 = 0. What is the common denominator of (-18)\/(-33)*(-50)\/6 and (-22)\/121 - (-331)\/x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 122703*x + 122706*x = 131, 5*v = -3*x + 125 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + 2*a**4)*(-10*a + 78*a + 19*a)*(0 - 4 + 0).\nAnswer: -696*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.045 (b) 9 (c) 0 (d) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**3 - 15*s**2 + 5. Let c(y) = -5*y**3 - 16*y**2 + 4. What is -5*c(j) + 4*f(j)?\nAnswer: j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 3*t**4 + 2*t**4)*(6 - 3 - 1) - 9*t**4 + 2*t**4 - t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 398526 to the nearest one thousand.\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -0.24. Let n = -0.658 + 0.49. Let f = n - v. Round f to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22031230 (base 4) to base 5\nAnswer: 2314321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49750926?\nAnswer: 2, 3, 1423, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -1\/6*h**4 - 25*h**2 + 0 + 0*h + 0*h**3. Let w(k) = 11*k**2. What is l(w(z))?\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 13. Let q be k(-12). Let g = q - -2. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 154, -748, -1640, -2522, -3394, -4256, -5108?\n\"Answer: 5*q**2 - 917*q + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3865, 65 in decreasing order.\nAnswer: 65, 1, -3865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/5))**(-35))**(-4\/15) assuming a is positive.\nAnswer: a**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {e: 5, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 - 41*h**3 - 104*h**2 - 107*h**2 + 211*h**2.\nAnswer: -51*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 88215*i - 1674280.\nAnswer: -5*(i - 17624)*(i - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*l = -l - 7086, s = 3*l + 3535. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0099 from -0.4.\nAnswer: -0.4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33194 is divided by 527.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -37. Suppose 3*l = 2*m - 39, -2*m - 3*l + 10 = -47. What is the smallest common multiple of z and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9826.2 and -1.8895939.\nAnswer: -9828.0895939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) -6 (c) 30 (d) -36\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 16174805.52.\nAnswer: 16174805.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20954 is divided by 308.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -65686, 4, -40 in decreasing order.\nAnswer: 5, 4, -40, -65686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 132. Let q(o) = 3. Let b(f) = c(f) - 7*q(f). Give b(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5495*o = 1857*o - 192814 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1241151797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55984\/2813 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -44*a - 77. What is the units digit of v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + s + 0*s)*(-11 + 1 + 20)*(3*s + 2*s - 4*s) in the form g + b*s + n*s**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (191\/(-10))\/((-2)\/(-12)). Suppose 3*q + 106 = -p, 5*p + 256 = 5*q - 334. Let w = p - y. Which is the smallest value? (a) w (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3 = 2*t + 11, -4*x - 4*t + 20 = 0. Suppose -3*y = 5*k + 338, 197 = -x*k + 6*y - 2*y. Let m = k + 101. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/840*4)\/((-8)\/(-14))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -15 + 123. Let z = 57 - v. Suppose -3*h + 4*h + 2*x - 12 = 0, z*x = -h + 13. Calculate the lowest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-23 + 12 + -7)) + 19 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**2 + 26446*y + 7528. Let r(w) = 6*w**2 + 13218*w + 3764. Let c(h) = 9*r(h) - 4*z(h). Determine b, given that c(b) = 0.\nAnswer: -941, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 11}. What is prob of picking 3 f?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 276066565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-36 - (-21 - -10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 24\/40*120*1\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(480\/1276) + (-31)\/620?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -2*x + 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*h - 23*h - 17*h as j*h + k and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u + 5\/2*u**2 + 0*u**3 - 17 + 3\/8*u**4. Let c(v) be the second derivative of s(v). Let r(g) = 3*g**2. Give c(r(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1 + -2)*8\/(-2). Let i(v) = v**2 - 3*v + 8. Let t be i(h). Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/(14\/16). Let o = 0.27 - -1.73. Let n = 1.5 - o. What is the nearest to -1 in n, -4, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111 + 101000000111110010?\nAnswer: 101000000100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 4:44 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104745 is divided by 444.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*q + 114*q + 59*q)*(-6 - 5 - 11).\nAnswer: -6402*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 214 - 237. Solve -35*f - 12 = -u*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1787480.6339 and 46938.\nAnswer: 1834418.6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 + 4 + 16*k**3 - 11 + 6.\nAnswer: 16*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -26 (c) 638 (d) -3\/2 (e) -15 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0 + 1\/3*g**3 + 3*g + 499\/2*g**2. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -0*r. Suppose 0 = -b + 4*m + 7 - 1, -2*b - 3*m + 1 = 0. Sort 0, b, r in descending order.\nAnswer: b, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 681\/15 - (-10)\/(-25). Let j = a - 42. Suppose 4*x = 10 + 2. Is x equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 - 1) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1453776 and 2976.\nAnswer: 2907552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 76\/12. Let b = x - 7. Suppose 0 = -b*v - 3*v + 48. Calculate the highest common factor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 3, 132, -6 in increasing order.\nAnswer: -6, 3, 4, 22, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/25*(-15)\/6)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*a**2 + 22*a**2 - 9*a**2)*(1 - 297*a - 5 + 296*a) as g*a + n + v*a**3 + p*a**2 and give v.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -1 in ascending order.\nAnswer: -2, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 24.8. Let z = -2.2 + f. Let a = 2 + z. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 765936.2 days?\nAnswer: 66176887680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 828 + -574. Let o = r - 13. Is 79 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-221) - 11\/(-51)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 73*h. Let u(f) = 16*f + 6. Let o(m) = 27*m + 10. Let j(v) = -3*o(v) + 5*u(v). What is k(j(y))?\nAnswer: -73*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 19. Let h = n - -10. Let q = 7 - h. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91169.\nAnswer: 13, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 0.8. Let r(z) = -z**3 - 5*z**2 + 6*z + 4. Let k be r(-6). Which is the nearest to 3\/2? (a) m (b) k (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -214 + 322 - (4 - (-13 - -4))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:43 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/342 and 79\/76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, -33*d + 34*d = 2*q - 15474. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s**2 + 72*s - 38*s - 34*s - 29*s**2 + 904.\nAnswer: -s**2 + 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-330) - 11824\/30. Let x = 1663 + n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3)*(-35)\/(-14). Suppose 2*m + 10 = -0*m. Sort g, m, 4 in ascending order.\nAnswer: m, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 - 565*a**3 + 14475*a**2 + 84665*a + 69620 = 0.\nAnswer: -4, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let z(i) = -i - 1. Let d(u) = u**2 - 5*u - 2. Let g be d(6). Let c(h) = h**2 + h + 1. Let m(j) = g*c(j) + 4*z(j). Determine s(m(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/45)\/(39\/(-65))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15617.\nAnswer: 7, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*r = 72, -3*c = -r - 88 + 24. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1816386 divided by 2262\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) 3\/8 (c) 3\/14 (d) 2\/5 (e) 2\/7 (f) -2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g + 4*o + 1, -10 = -4*g - 2*o. Let i(s) = -s - 3*s + g*s. Let d(u) = 7*u. Let y(m) = -6*m. Let j(f) = 5*d(f) + 6*y(f). Calculate j(i(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4121*o*r**2 - 653*o*r - 145170712*o - 8*r with respect to r.\nAnswer: -8242*o*r - 653*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*o + 11 + 8, 0 = -o - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -92. What is the closest to -3 in -1, 4, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1*(312\/18 + 6). Calculate the greatest common factor of 175 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*t = -19, 0*i - 5*i - t + 15 = 0. Let r(z) = -2*z + 4 - 5 + 0 - i*z. List the prime factors of r(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -154. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51147 - 50628.94. Let d = -518 + a. What is the second biggest value in -2\/17, -1\/5, -2\/9, d?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -18.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**2 + 2*x - 11. Is i(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 256\/28 - 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075451527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 123440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-896)\/(-126))\/32)\/(-4*22\/(-8))?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 55, 3771, 4 in ascending order.\nAnswer: 0, 4, 55, 3771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 332, 681, 1050, 1445, 1872, 2337?\n\"Answer: i**3 + 4*i**2 + 330*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let w = -1.1 - 0. Let t = 3.1 + w. Which is the closest to 2\/5? (a) d (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(6*sqrt(972) - sqrt(972)).\nAnswer: sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = y - 4, -3*y - 21 = i - 19. Is ((-2)\/2)\/i*-587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.2. Let g = 3.8 - 4. Let w = g + s. Put 1\/4, -1\/2, w in descending order.\nAnswer: 1\/4, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 9 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, 0, 4, 13287, 1 in descending order.\nAnswer: 13287, 20, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8.266 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 4. Let a be m(4). Let r be 38 + (6\/a)\/(4\/(-16)). Solve 36 - r*n + n**2 + 32*n + 15*n = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 179*j - 750. Determine y(-85).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 2*d + 22, -x = -5*d - 20. Let y be (36\/x)\/((-2)\/(-5)). Calculate the remainder when 46\/(-3)*(-12 + y) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 303?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 6*j + (7 - 7 + 7)*(-3*j + 5*j - j))*(2*j + 0*j - 5*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 12. Let m be p(-6). Is (m + 0)*30\/(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 + 2*u + 3. Let h be c(-3). Let n = -0.8 - -0.77. Let p = 3.03 + n. What is the nearest to -1 in 2, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Let f = 61.8 - 3.8. Let x = 57 - f. Put x, i, 0.06 in ascending order.\nAnswer: x, i, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6482*k**3 + 4503*k**2 - 253790251?\nAnswer: -19446*k**2 + 9006*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4133234003 + -303?\nAnswer: -4133234311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(96)*-3 + sqrt(96)))\/(((sqrt(648) - (sqrt(648) + (sqrt(648) - -1*sqrt(648)))) + sqrt(648) - sqrt(648))\/sqrt(4)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010110110110001110 (base 2) to base 4.\nAnswer: 31112312032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1903 + 6*y - 1911 - 3*y)*(-4 + 4 - 3*y) in the form o + r*y**2 + d*y and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.15 + -9. Let f = -16.93 - -17.68. Let q = f - n. Which is the nearest to 4\/5? (a) 0.4 (b) -6\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/32 + (-21)\/60.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*f + 299 + 1923 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5 and 3467\/(-10374)*-2 - ((-588)\/63 - -10).\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 27*i**2 + 19. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3950344 and 656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-65 - -25) - 74\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-10) + (-2 - (-2 + 5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13654\/5 != 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 + 262. Suppose -100 = -k*o + 5*a, 4*a - 24 = -o + 3*a. Calculate the highest common divisor of 242 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 3, j: 5, h: 4}. Give prob of sequence jfj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 117*s = -1485 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 3052.\nAnswer: 12208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/6 - (-9)\/(6\/2). Solve h - 2*w + 2*w**2 - 2\/3*w**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -17)\/(-3 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/3 - 16362*b - 1667768\/3 = 0.\nAnswer: -49052, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 10. Calculate q(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/36 - 2\/8)*-1748. Let c = 876 + a. Solve -7*o + 2*o = -20, c*s + 8 = o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h - 4 - 3*h + 1. Let b be 18\/(-5)*(-1470)\/1323. Let u(w) = -3*w + 4. Give b*k(g) + 3*u(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.7. Let i = -783 + 782.9. Let h = -0.08 - -3.08. Which is the nearest to i? (a) 0 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3155*r**2 - 3154*r**2 + 5*r**3 - 3139*r**2 - 3306*r**2 + 12754*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 1887 + 265 + 1622.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11783071 is divided by 3730.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70005 and 5460.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 22*v + 60. Let x(c) = -11*c - 30. Determine 6*m(g) + 13*x(g).\nAnswer: -11*g - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*i**2 + 133*i**2 + 11*i**3)*(3*i**2 + 2*i - 2*i).\nAnswer: 33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - 0. Suppose -5*s - 20 = 0, -5*o - 236 = 2*s - z*s. What is the common denominator of 61\/21 and (116\/o)\/(-5 + 4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g*v*w - 5*g*v - 17*g*w + g + 4*v*w wrt v?\nAnswer: 10*g*w - 5*g + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1096 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -42. Let l = -32 + q. Put -0.5, 2\/5, l in decreasing order.\nAnswer: l, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/300 - (-177)\/25. Let u(k) = -k + 4 + k - k. Calculate u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - h**2 - 1 + (-4*h + 3*h + 2*h)*(-h - 2*h + h) + 0*h + 0*h - h**2 + (h + 2*h - 4*h)*(-2*h + 4*h - h) - 6*h + 6*h + 1 - 8*h**2.\nAnswer: -13*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490554632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33+-238022270\nAnswer: -238022303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 11849760.\nAnswer: 82948320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -577aa?\nAnswer: -57804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1. Let y(s) = 145 + 2369*s + 2477*s - 4672*s. Give 145*r(g) + y(g).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 471330?\nAnswer: 471330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitititiiiitttti. What is prob of sequence it?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 23*q = 25272. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h*h**4)\/h)\/h))\/h**(-2\/3)*(h*h**(2\/7))**(-4) assuming h is positive.\nAnswer: h**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2862 * -0.1\nAnswer: -286.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2483\/765 - 7\/153. What is the closest to 1 in -0.5, c, -3\/5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y*y**1\/y)))\/y)**(-2\/19))**(-36) assuming y is positive.\nAnswer: y**(-72\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 108814477, 4\/7, -0.2, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 0, 3*m - 10 = -2*m - 5*z. Solve 4*v = m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(143\/(-39))*56\/(-6))\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:36 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2274, -5669, -9064, -12459, -15854?\n\"Answer: -3395*r + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10\/(20\/(-35)*(-7)\/2) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -32, -2\/9, 1, 1\/2 in ascending order.\nAnswer: -32, -2\/9, 0.4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461709629 to the nearest integer?\nAnswer: 21487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-25)\/u)*u**(-11\/2))\/(u*u*u**(-2\/13))**(2\/11) assuming u is positive.\nAnswer: u**(6053\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823315.\nAnswer: 5, 164663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -6*b**2 + 194*b - 180. Let p be y(16). Solve -p = 2*o, 2*c + 2 - 5 = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17052 and 49098.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59683, -58200, -56717, -55234, -53751, -52268?\nAnswer: -50785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 10. Let y be s(14). Suppose -5*c - 13 = -n - 5, -2 = y*c - 3*n. Let d(v) = v**2 + v + 1. Give d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6056?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.56594 and -0.41?\nAnswer: 1.8720354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 268162 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 = -2*b, 5*b = -j + 10*b + 28. Is (-9)\/j - (6328\/(-4) + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3577 + 3576.5. Put x, 7\/5, 5, 4, -0.6 in descending order.\nAnswer: 5, 4, 7\/5, x, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w = 574 - 79 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 7:37 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-231)\/33 - (-130)\/18. Which is the smallest value? (a) 1\/2 (b) 0.1 (c) x (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:28 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 2. Let u be r(-4). Solve 4*w = 3*c - 16, -2*c - 4*w - 2 = u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10201, -40835, -91943, -163567, -255749?\n\"Answer: -7*k**3 - 10195*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u**3 + u**3 + 2 - 2*u**3 - 2*u + 3*u**2. Let h be k(2). Suppose 5*q - 3*o = -0*o + 25, -h*o - 20 = -4*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11100010100001000000?\nAnswer: 11100010100000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6492 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -0.81.\nAnswer: -12.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1051472 by 4.\nAnswer: 262868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 + 1\/480*t**5 - 5*t**2 - 1\/1440*t**6 - 5\/6*t**3 + 0*t + 1\/48*t**4. Let k(m) be the first derivative of r(m). Factor k(q).\nAnswer: -(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-21 - -6)) + -24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*l**3 - 401*l**3 + 186*l**3 - 5*l + 5*l + 169*l**3.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(r - 2*r + 2*r - 4*r + 3*r + 3*r - r + 0*r - r + (-r - 3 + 3)*(6 - 2 - 2) + r + 0*r + 0*r + 0*r + r - 2*r + r - 2*r + 6*r)*(-r + 0*r + 0*r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 2*w - 1 = -81, -3*w = 2*g - 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -9. Let c = -0.094 - 6.606. Let u = c - b. What is the nearest to -2\/3 in -1, 0, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 29*u + 32*u + 54 = 0, -2*x + 3*u = -39. Calculate the highest common factor of x and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 32*x. Let w(l) be the first derivative of -l**6\/120 + 73*l**3\/3 - 141. Let d(n) be the third derivative of w(n). Give m(d(k)).\nAnswer: -18*k**4 - 96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m**3)*(3 - 3*m**2 - 3 + (-m + m + 2*m)*(4*m + 6*m - 6*m)).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004688 to seven decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2*(-395)\/79)\/(144840\/(-816)).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 809 - 798. Suppose 4*s - t*s = -3591. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 - 20 + 2*m**3 - 11 + 12 - 28*m**2 + 5*m. List the prime factors of n(10).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 5)*(-33)\/(-6). Let k(r) = -r**3 - 11*r**2 + 3. What is the units digit of k(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from {w: 1, k: 2, n: 1, z: 1, m: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/15 + -2)\/(1548\/(-645)). Let q = 11\/130 - -3\/26. Which is the nearest to q? (a) 0.2 (b) x (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3247 - 2138. What are the prime factors of n?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and -51\/145076?\nAnswer: 580304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42619716?\nAnswer: 2, 3, 337, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -544.82 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 p when three letters picked without replacement from mpcopmmhhhpppphpmpp?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104))\/(4*sqrt(98) - sqrt(98) - sqrt(98)) + (sqrt(117) - (sqrt(117) - (2 + (-1*sqrt(117) - sqrt(117)) + sqrt(117)))**2) + sqrt(117)*-2*2.\nAnswer: -472 + 106*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, 0.5, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1753*z**3 + 3*z**2 - 4437?\nAnswer: -5259*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 + 555*t + 21. Calculate d(21).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.6 + -17.1. Let q = -14.27 + h. Is -1\/7 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1313 + 1317. Solve 4*u - 12 = 0, f - 4 = -u + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1895 + -1805.9. Round x to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 24*s**2 + 34*s - 8. Let i be q(-21). Suppose -11*p - 5*p + i = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(17) + (-3 + sqrt(1377))**2.\nAnswer: -53*sqrt(17) + 1389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3 - 3041*m**2 + 6079*m - 3039 = 0 for m.\nAnswer: 1, 3039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*m - 25 = 2*z + 173*m, z - 10 = 2*m. Solve -51*r + 2*r - 49 = z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) 6 (c) 2 (d) 3\/2 (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47149 + 47149. Solve 3\/4*v**3 + 9\/4*v**2 - 3\/4*v - 9\/4*v**4 + t = 0 for v.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182463095 is divided by 36117.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (6 - 9))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 4\/3 (b) 3 (c) -1\/4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 4*o = -15*t - 25, 5*t - 213 = -2*o. Calculate the greatest common divisor of t and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 278*h + 4995 = 39*h. Solve 4*d - h = -3*p - 16, -19 = 3*p - 5*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*v**3 + 635*v**3 - 2083*v**3 - 1039*v**3.\nAnswer: -2579*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-0.17\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 159*q + 625. What is b(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2365399.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 399\/49 - (18\/6 - -5). Sort -0.018, m, 0.11 in decreasing order.\nAnswer: m, 0.11, -0.018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bywop. What is prob of sequence bo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47223, 94443, 141661, 188877, 236091, 283303?\n\"Answer: -o**2 + 47223*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -1 - -2) + (56 + 28 - 70 - 44)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 621128 + -0.27?\nAnswer: 621127.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6095.996541 - 6096. What is h rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29169.\nAnswer: 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4093074, 8186148, 12279222?\nAnswer: 16372296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**2 + o**2)*(-3 + 1 + 3) - 2*o**2 + 4*o**2 + 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 75, 158, 315, 570, 947, 1470, 2163?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221 and 2960.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 10. Suppose c - 9 = -3*k, 5 = -v*c - 1. Suppose -2*t - k*a = -54, -7 - 20 = -t - 5*a. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/20 + 3*v**2 + 26. Let h(a) = -4*a - 5*a**2 + 4*a. Calculate o(h(u)).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3640\/(-312))\/((-5)\/18). Let p be (2\/(-4))\/(-1)*12. Calculate the highest common factor of p and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-21))\/(1\/3). Suppose -o - 4*o = -v - 330, -2*o + 140 = -f*v. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.31605144 rounded to 1 dp?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5819570807 from 0.1.\nAnswer: -5819570806.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34868 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 0 - 5*a + 380*a**2 + 5*a**3 - 375*a**2 + 0.\nAnswer: -5*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*d + 6 = 2, 4*m = -4*d + 8. Let s(j) = -11*j**2 + 0*j**2 + 0*j**m. Let u(z) = -7*z. Calculate s(u(k)).\nAnswer: -539*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + -6*(-6)\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1194*d + 27501. What is g(23)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -32*r**3 + 75*r**3 + r**2 - 45*r**3 + 2 - 2*r. Give y(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9474, 9483, 9506, 9549, 9618, 9719, 9858, 10041?\nAnswer: 10274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145.47 - -144. Let k = -1.97 - s. What is the second biggest value in -2\/13, -3\/2, k, 1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1140*b - 13868. Calculate c(11).\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 27*p**2 + 217*p + 7. Give u(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(252) - sqrt(252)*1) - -1*sqrt(252)*1 - (-1 + 1*(0 + sqrt(252))))*4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 2 + sqrt(3) + (sqrt(3) - (sqrt(243) + 4)) + 2*(0 + sqrt(75)*3 + sqrt(75))).\nAnswer: -2 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*a + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxnnxxxxn. Give prob of picking 3 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 300*s**2 + 8838*s - 51940.\nAnswer: 2*(s - 5)*(s + 49)*(s + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9*113 - 1. Let o = b - 37. What is the smallest value in o, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.068, 7 in increasing order.\nAnswer: -2\/5, 0.068, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*176\/(-242).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 9 = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 3700244870*z - 684590604898065845.\nAnswer: -5*(z - 370024487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2, 10.\nAnswer: -5, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4294, 0.75, -1.\nAnswer: -4294, -1, 0.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 2690*k**3 + 541020*k**2 - 48225710*k + 1607980655.\nAnswer: 5*(k - 157)*(k - 127)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 20*t**2 + 17*t - 6. Let n(r) = 2 + 7*r**2 + 0*r**3 - 2*r**3 + r - 7*r. Suppose 3*c - 42 = -4*c. What is c*m(z) + 17*n(z)?\nAnswer: 2*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78199, 313037, 704429, 1252369, 1956851, 2817869, 3835417, 5009489?\nAnswer: 6340079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -462, -671, -880?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/9 - 134*p\/9 - 608\/3 = 0.\nAnswer: -48, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13037 or -13036?\nAnswer: -13036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*(120\/4)\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 52*h**3 + 7585*h**2 - 1021*h + 44. Calculate f(-146).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -39*k**4\/4 - 31*k**3 + 7*k**2\/4 + 20*k - 3 = 0.\nAnswer: -3, -1, 2\/13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/1329, -0.3, 0.4, 6, -0.2, 1?\nAnswer: 2\/1329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:23 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*k - 23*k + 2 + 15*k as h + c*k and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 339290 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 3*l)*(l + 3*l - 3*l) + 108*l**2 - 33*l**2 + 100*l**2 - 4*l + 4*l + 2*l**2.\nAnswer: 174*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**6)**(-13\/3)*p**(-7\/2)\/(p\/p**(1\/12)) assuming p is positive.\nAnswer: p**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.114 - -0.89335819745.\nAnswer: 1.00735819745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + k - 30974 = 190313, -2*k = -4. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -602, -1290, -2238, -3446, -4914?\nAnswer: -6642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 19331.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 317*y - 768. Let m be q(6). What is the greatest common divisor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16108064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 58741*m**3\/2 - 29371*m**2\/2.\nAnswer: m**2*(m - 29371)*(2*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and 0.63.\nAnswer: 2.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let f = 137 + -219. Let b = f + 86. Let j(x) = 43*x - b*x**2 - 43*x. Determine j(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (-11 - -8 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68688*f - 195558*f + 7028*f.\nAnswer: -257218*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -19*l**3 + l**2 - l + 18. Let z(b) = -10*b**3 - b**2 - 1. Calculate -w(m) + 2*z(m).\nAnswer: -m**3 - 3*m**2 + m - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716984947.\nAnswer: 7, 102426421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 2*b + 1. Give t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 8, u = 3*y + 3*u - 14. Suppose y*t = -5*b + 32, 2*b - 3*t + 9 = 3*b. Suppose j - 23 + b = 0. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let j be (-136)\/(-3) - 2\/(-3). Suppose 2*n - 3*q = -j, 0 = -n - 0*n + 3*q - 26. Let y = n + 29. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, m: 4, j: 4, v: 6, q: 1}. What is prob of picking 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.47745 minutes to nanoseconds.\nAnswer: 1948647000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*s = -65, s = -36*h + 31*h + 45. Solve 3*o - 2*o - 4*w = -h, o - 5*w + 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.2 + 0.8. Let g = -10 + a. Sort -1\/5, -1, g in decreasing order.\nAnswer: g, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30646 (base 7) to base 4\nAnswer: -1311223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -6.1. Let t = n + 2.9. Let x = 77 + -77.5. What is the closest to -3\/8 in -5, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82112653 a multiple of 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/25)\/(10\/(2400\/(-72))*10\/15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from ovxohovxoxcxuox?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 2940.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 44*v**3 + 7*v**2 + 7*v + 1. Calculate p(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-9) + (-70)\/315.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725d4c (base 14) in base 4?\nAnswer: 223130021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13.27275206+6848\nAnswer: 6861.27275206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 184. What are the prime factors of m?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 50510920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*m**3*s**2 - m**3*s + 26*m**2*s wrt s.\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 0\/(-1) - -19. Solve j*z = 21*z + 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/4626 and 85\/67848.\nAnswer: 203544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64803?\nAnswer: 3, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322350 (base 7) to base 5.\nAnswer: -3243331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 5*z**3 - 3*z**3 + (-3*z**2 + 3*z - 3*z)*(0*z - z + 0*z) + 2*z**3 - 5*z**3 + z**3 in the form r*z**3 + v + g*z + k*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2779 + -2766. Let o(n) be the first derivative of 0*n**3 - v - 20*n + 0*n**4 + 7\/5*n**5 + 0*n**2. What is the derivative of o(f) wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -601 - -285. Let g = -329.3 - y. What is g rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + -231?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/146 - 4564\/219. What is the common denominator of (8 - (-365)\/(-45))\/((-2)\/(-12)) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**2 - 3*l + 7. What is the remainder when v(-4) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -4496*d + 4469*d + 1043 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*j - 2*g + 16 = 0, -j + 2*g - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -197*c**3 - 6*c**2 + 21*c + 474. Let k(s) = 36*s**3 + s**2 - 4*s - 95. What is 2*f(r) + 11*k(r)?\nAnswer: 2*r**3 - r**2 - 2*r - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1745\/62 + -268\/31. Calculate the common denominator of -35\/64 and z.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j)\/j**(1\/5))\/(j**(2\/11)\/j*j**(1\/5)))**(-4\/13) assuming j is positive.\nAnswer: j**(-92\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o - 4476. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179915 by 1215.\nAnswer: 35983\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 390218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - 2*r**2 + 50 + 0*r**4 - 3*r**4 - 37 + 4*r**2 in the form w*r**2 + c*r**4 + u*r + f*r**3 + b and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -80. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3571.5 + -3571. Which is the second smallest value? (a) -3 (b) g (c) -4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156141191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32444 - -62215. Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71585\/56 - 9079\/8. Let r = 144 - n. Suppose -r*m**3 + 2\/7 - 4\/7*m**2 + 2\/7*m**5 + 2\/7*m + 2\/7*m**4 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173438 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 4*z + 10*z**4 + 12*z**4 - 23*z**4 to the form a*z + q + r*z**3 + p*z**4 + l*z**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 17*k - 10517 = -7*k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a day in minutes?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -123*z + 118*z + 9*a, 0 = 3*z - 4*a - 37. Put z, 2290, -4 in ascending order.\nAnswer: -4, z, 2290","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -21. Solve -3 = -i - v, 2*i + 3 = v - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 9*l**2 + 7*l - 1. Calculate a(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36\/450*7000\/14\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 52 - 52. Suppose v = 4*i - 2*w - 5 - 5, -4*i - 2*w = -14. Which is the closest to 1? (a) i (b) -1\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxmfnmqfmmmfffxqf. Give prob of sequence nxmm.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 0.5. What is the biggest value in o, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8601*k**3*q**3 + 5*k**3*q**2 - 6*k**3*q + 2*k**2*q**3 - 2*k*q**3 - 2*q**2 - 85*q wrt q?\nAnswer: -51606*k**3 + 12*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 12. Let p be 4 + (-11 - (-10 + 8)). Let w(x) = -3*x - 18. Calculate p*w(c) + 8*i(c).\nAnswer: -c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 + 21*u - 62. What is f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -476, -1880, -4216, -7484, -11684?\n\"Answer: -466*n**2 - 6*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3374073 or 3374100?\nAnswer: 3374100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a decade in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174563711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.9892 kilograms in nanograms?\nAnswer: 311989200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*p + 9. What is the remainder when 12 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-39))\/((-4)\/(-26))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - -6cdc?\nAnswer: 6cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 30. Calculate d(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13843025 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let c(l) = 86*l + 430. Let a be c(-5). Let k(z) be the second derivative of -13\/6*z**4 + 20*z + a + 0*z**3 + 0*z**2. Give x(k(h)).\nAnswer: 676*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 4116*j + 12312.\nAnswer: 4*(j + 3)*(j + 1026)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*g + 48, 4*g - 181 + 173 = 4*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - 3 - (-24 + 24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 + 642. Is v a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/3 + 10*u. Let c(k) = -2*k**2. Calculate t(c(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:21 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 - 3*u**2 - 7*u - 2. Let f(o) = -5*o**3 - 2*o**2 - 3*o - 1. What is -3*c(x) + 7*f(x)?\nAnswer: -2*x**3 - 5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n. Let s(r) = -319*r + 14. Let o(d) = -12122*d + 539. Let g(k) = -2*o(k) + 77*s(k). Determine 3*g(p) + 88*y(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685330 is divided by 4284?\nAnswer: 4174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let p = 17 + -10. Let z(a) = -a**2 + 7*a + 1. Let o be z(p). Let m(h) = -2*h**2. What is o*m(j) + 3*q(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 24. Sort 2, o, -14 in descending order.\nAnswer: 2, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.6 + -25.8. Let n = f - 23. Let z = 8 + -5. What is the closest to n in z, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3234 (base 7) to base 8\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 185, 539, 811, 743, 77, -1445, -4081, -8089?\n\"Answer: -43*a**3 + 217*a**2 + 4*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217.3 + -192. Let i = -25 + c. Let x = 4 + -3.6. Sort x, i, 1 in increasing order.\nAnswer: i, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -668 + 664. Suppose 5*z = -3*a + 10, -3*z - 3*a - 10 = -8*z. List the prime factors of (-141)\/z*t*(-1)\/(-2).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + 36\/28. Let p be 1 + (-1 - -2)*j. What is the closest to -0.1 in p, -5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-924))\/(6\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78190279.\nAnswer: 6211, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -1 (c) 84 (d) 0 (e) -6\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-3)\/a)*a\/((a\/(a\/(a\/(a\/a**(-3)))))\/a)*a)**(-1\/32)\/((a\/((a*a*a**0*a*a)\/a))**(-7\/2)\/(a**(-1)\/a**(-5))) assuming a is positive.\nAnswer: a**(-107\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 112 = 6*i. Calculate the remainder when 52 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 6473*d**5\/60 + 1783*d**4\/24 - d**3\/3 - 8462*d**2. Find the second derivative of h(g) wrt g.\nAnswer: 12946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = -l. Solve 2*q = 5*h, l*h - 5*h - 5 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 + 14*f - 14*f + 11*f**2 to u + c*f**2 + s*f and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2388604747 - -2388604912.9999483. Let i = -166 + x. What is i rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-1))\/2)\/((-2197)\/70304)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (21 - (0 + 13 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-12))\/(-4) - 30\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtmt. Give prob of sequence mtmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -185169.43 * -0.4\nAnswer: 74067.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/12546179 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*n + 2*k + 25, 2*k = -4*n + 156. Calculate the remainder when 77 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -406*h. Let r(a) = -2*a. What is g(v) - 145*r(v)?\nAnswer: -116*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234 + 193 + 211)*(4*u - u - u) + 3*u - u + u.\nAnswer: 1279*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 2*o**3 - 7*o**2\/2 + 12*o. What is the derivative of t(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1296455 or 1296405?\nAnswer: 1296405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 26*u - 40. Determine w(-17).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 5*g = 257*g - 2673 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.5 + -8.5. Let l = 161 - 166. What is the second smallest value in m, -0.03, l, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyff when four letters picked without replacement from {f: 17, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.198 and -55.\nAnswer: -73.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 14, 4, -4 in ascending order.\nAnswer: -4, 4, 14, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 minus -68.1?\nAnswer: 142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, -1, 106?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2432629 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z + 1 + 2*z**2 - 12*z - 2*z**4 + 7*z to n*z + v + l*z**2 + m*z**4 + d*z**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671053163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by -19*38\/4693 - (-2)\/26*158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 426 = 1611. Let s = -68 + c. What is the remainder when 17 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204 + 207. What is the third derivative of 169*l**q - 137*l**3 + 2*l**2 - 5*l**2 + 9 wrt l?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - w**2 + 69 + w**2 + 54 - 1717*w**4 + 1719*w**4 to the form u + s*w + p*w**4 + t*w**3 + n*w**2 and give u.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/(-25) + 6\/10. Let h = -6 - l. Let d(u) = -2*u - 2. What is the units digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8671915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, 5, 11 in ascending order.\nAnswer: -5, 5, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/39 and 119\/286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 1.7.\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/39 and -145\/14664.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -429 (b) 3 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = -1342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.53 + 20.33. Which is the fifth smallest value? (a) -0.05 (b) -5 (c) 1 (d) g (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3964*p**3 - 2*p**2 - 12*p - 779914 wrt p?\nAnswer: 11892*p**2 - 4*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54520 and 11992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5609906826?\nAnswer: 2, 3, 19, 2143, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/6, -38, 5, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2772 and -193\/1320?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1991 or 2326?\nAnswer: 1991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (441\/45 - 9)*(-7)\/(35\/1325). Let k = 281 + -495. Is g > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f - 1. Let i(q) = 9 - 46 - 1 - 21*q + 34 + 1. Determine -3*i(z) + 7*t(z).\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-9) - (-44643)\/(-702). Let n = 852\/13 + x. Let r = 431\/126 - n. Find the common denominator of r and -37\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 8, 41212 in decreasing order.\nAnswer: 41212, 8, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**4 - 340*z**3 - 664*z**2 = 0.\nAnswer: -83, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14063*j**2 - 4*j. Let q = 87 - 95. Let h be r(q). Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -0.11, 0.312, 16\/59?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -444771\/5 + 88959. What is g in 126\/5*g**3 - 24*g**4 - 162\/5*g + y*g**5 + 108\/5*g**2 + 0 = 0?\nAnswer: -1, 0, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = -3*x - x + 5, -195 + 223 = 2*x + 7*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795885.\nAnswer: 5, 559177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 7*m**2 + 16*m - 12.\nAnswer: (m - 3)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (-8 - 8 - 1) + -16 + 22\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 1. Let o(p) = -p**2 - 1. Let u(z) = -4*o(z) - x(z). Suppose 5*r = 25, r - 14 = -0*i + 3*i. Is 11 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 316*s + 585. Let r(j) = -j - 5. Let n(f) = g(f) + 5*r(f). What is the derivative of n(q) wrt q?\nAnswer: 6*q + 311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01346896 to 5 dps.\nAnswer: 0.01347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 2. Let z be x(0). What is the tens digit of (2 - 17\/2)*z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 4*f.\nAnswer: 4*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*t + 485 = 6*t, 0 = -5*g - 5*t + 600. Let m = g - 66. Solve 0 = l + m - 60 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/2)\/(((z\/z**(-4))\/z*z)\/z)*z\/z**(-5)*z**6\/z*(z*z**(2\/5))**14*z**(4\/3)\/z*z*z**(-2) assuming z is positive.\nAnswer: z**(703\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**3*g**2 - 3*d**3*g*u**2 - 11*d**2*g*u**3 + d**2*g*u + 2*d*g*u**3 - 224*d*u**3 + 24700*g**2*u**3 wrt g?\nAnswer: -6*d**3 + 49400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + -6 + 1 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**4 - 4*l**2 + 0*l - 1\/60*l**5 + 0*l**3 + 0. Let s(w) = -w**2. Determine q(s(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3993892527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6500297 - -3208197. Let g = 2282100 + x. Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(63)*-6)**2 + 0 + -2 + ((sqrt(21)*1)\/sqrt(3))**2.\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/(-378) + 2\/27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296061 times -4?\nAnswer: -1184244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72958 + 602147 + 1198271 = 35*y. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 103 + 99 - 6*s to p*s + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1533 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -740*j - 746*j + 4526*j - 753*j - 782*j - 745*j - 752*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 20*u**2 - 14*u - 40. What is the remainder when 4943 is divided by d(11)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5048074 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376293 + 376293 + 7*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 4*m - 9*h + 6, -4*m = -h + 5. Let g be 29\/(-148) + (-3)\/(-12). Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 12*c - 24. Let y be w(12). Let p = y - -1173. Suppose 0 = -8*h - 5*h + p. Solve -12 = m - 2*x, -2*x + 7*x = 4*m + h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/16983 and -32\/289.\nAnswer: 288711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21250656*s + 32459095 wrt s.\nAnswer: 21250656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.414 - 15.408205. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Which is the smallest value? (a) 2 (b) -14 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -22 + 4 + 5. Let p(m) = m**2 - 11. Let c(w) = 2*w**2 + 5*w + 8. What is the remainder when c(-8) is divided by p(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -8 (c) 8904.982\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/5)*n*n**13 assuming n is positive.\nAnswer: n**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-84) - (2 - 31\/6). Let w(n) be the second derivative of -n - 1\/5*n**2 + 0 - 1\/30*n**4 + 2\/15*n**x. Factor w(m).\nAnswer: -2*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14431*z + 562806. Calculate f(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -777 - -927. Calculate the greatest common divisor of o and 720.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1582035856 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2119726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -1\/9, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546298?\nAnswer: 2, 273149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/42*(-784)\/280*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 10) + (-68 - -84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 29. Let z be ((-2)\/(-5))\/(2\/30 - 0). Let t be h(z). Suppose a + 6 = 17. Is t equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1844261 and 171117?\nAnswer: 16598349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbb when three letters picked without replacement from {y: 1, l: 1, b: 2, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 600441.4 millennia in centuries?\nAnswer: 6004414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.61 and 3464.\nAnswer: 3464.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/6300 + n**6\/900 + n**4\/4 + 2*n. Let b(v) be the third derivative of s(v). Factor b(q).\nAnswer: -2*q*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26.51014 years?\nAnswer: 0.02651014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(9\/5)*z)\/(z**(-22)*z)*(z**27)**(-2))**21 assuming z is positive.\nAnswer: z**(-3171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d1 + c?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:58 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w - 42*w - w**4 + 2*w**3 - 2 - 2*w**2 to the form j*w + y + m*w**2 + g*w**3 + h*w**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + -1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 44*a - 41*a - 1 = 0, -2*a = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 20*o**2 - 51*o + 12. Give a(4).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*(-25 - -22). Let f(d) = 2*d + s*d - 9*d. Let t(i) = -3*i + 55. Give t(f(w)).\nAnswer: -6*w + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 9*r**2 - 6*r + 10. What is the remainder when u(7) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p - 2. Let r be n(-5). What are the prime factors of (2 - 1)\/((-4)\/r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from hdhhddhhhdhhdhdd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*r - 3138966 = 6856304. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*g - 551 = -1948, 4*h - 2774 = 2*g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4605589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2334827 and 2255?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14dd8 (base 15) to base 10\nAnswer: 67253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48\/1327 + 84595\/100852. Let l be (-2)\/4*(-4)\/38. Let h = w - l. Put h, -2, -3\/2 in descending order.\nAnswer: h, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -7. Let d = 6.4 + u. What is the closest to -3 in d, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -19858 in ascending order.\nAnswer: -19858, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 98.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 20, 21?\n\"Answer: f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9 + 6. Solve v = i*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*l, 5*y - 3*l = 2*y. Let b(f) = -f**2 + f + 32. What is b(y)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 4 + 15 - 11 to the form i*f + w and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + p + 2994, -5*p = 2*u - 1203. What are the prime factors of u?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2886 - -2901. Let o = -3.3 + 0.3. What is the biggest value in w, o, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28*8\/(-28))\/(8\/5536).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 5*o**2 + 5*o. Let y be g(4). Let m = -0.08 - 1.22. What is the second biggest value in -3, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13295070 is divided by 6647529?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -5. Let x = w + 13. Solve 0 = a - x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7*x - 32 = 0, 433 = -4*r + 4*x + 561 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 5, -22, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2. Let k(u) = -u**2 + 2*u**j - 2*u**2 + 4 - 2*u. Let r(m) = 2*m**2 + 2*m - 5. Let w be (-80)\/(-5)*1\/4. Calculate w*k(h) + 3*r(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*i + 7 = 0, -5*y = -8684*i + 8689*i + 20 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/(3\/(-27)). Is -53*(v - (5 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 1 + 0 + 2)*(-2*m - 3 + 3).\nAnswer: 2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(92*l - 15*l + 43*l)*(-64 - 4*l**2 - 32 + 65) to the form g*l**2 + j + v*l**3 + b*l and give v.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p**3 - 56*p**3 + 45*p**3.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w + 8. Let s(u) = u**3 + 9*u**2 + u + 11. Let h be s(-9). Suppose 0*m = h*m - w. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.92 + 71. Let s = c + -0.08. Sort s, 5, -3, 1\/4 in descending order.\nAnswer: 5, 1\/4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001200113 - 110?\nAnswer: -1001200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l. Determine v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y. What is the units digit of 2 - -4 - (-2 - y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 1903*r + 1908*r + 28, 0 = -16*r for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -43496671193?\nAnswer: 43496671192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*z**2 + 10230679*z - 10230679*z - 2*z**3.\nAnswer: -2*z**3 + 116*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 41*v**2 + 34 + 98*v**2 + 55 - 111.\nAnswer: 139*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107.53 + -110.53. Let j = -2.3 - 6.7. Let g = j - -5. Which is the closest to 0? (a) 0.1 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*j - 3*j**2 + 47*j + (-2167 + 2167 + 34*j)*(0*j - 6*j + 4*j).\nAnswer: -71*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5407 divided by -285\nAnswer: 5407\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u**(-4\/9))\/(u**(-2)*u\/((u*u*u**(-3))\/u))*u*u**(-1\/11)*u*u\/(u**(-3\/5)\/u)*(u\/(u*u**(2\/3)*u))\/(u\/(u*u*u**1)) assuming u is positive.\nAnswer: u**(197\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 3. Suppose -z + 3 = 0, 4*h + 6 + 0 = 2*z. Let s be w(h). Solve s*d = -6 - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -65 (c) 322497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51220, 102439, 153658, 204877, 256096?\n\"Answer: 51219*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9943*x**3 + 39656*x**3 - 2243*x**3.\nAnswer: 27470*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -0.3, -7.25, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309375181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 235 = l. Let u = l - 32. Let p = -11 + u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-6)*(1 + 5*3). Let f = t + 12. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 39*o + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(5\/370). Suppose -z = -5*l + 193. What is the remainder when l is divided by (-4)\/(-5)*(1 - -19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26, 5, -2, -3.\nAnswer: -26, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35661785, 35661788, 35661793, 35661800, 35661809?\n\"Answer: v**2 + 35661784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1748\/(-160) + (-351)\/312*-1\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 1\/3 (c) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118707, -118705, -118703, -118701?\nAnswer: -118699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from rtrlzzctrlttrllrlt.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (27 - 18 - 27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-20)*20\/14. Let h be -1 + (3 - 19\/9). Which is the third smallest value? (a) 5 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 20*p**3 - 2 + 0*p**3 - 5*p + p**2 + 4*p. Let o be u(-1). Which is the nearest to 1? (a) -2 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 times -18.91?\nAnswer: -16621.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/(36\/8))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(13041\/46))\/((-14)\/36))\/(5\/21)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 335, 421?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*n + 2*c - 3*c, 0 = -n + c. Let x(b) = b**3 + b**2 - 3*b + 1. Let j be x(1). Solve -2*h + h - n = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551073393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*s + 231 + 278, -4*s + 2*h + 514 = 0. Let q(f) = -123*f + 379*f - 127*f - s*f. Let n(o) = 51*o. What is n(q(p))?\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*z - 28*z - 50*z - 10*z to g + x*z and give x.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 15}. What is prob of sequence zhh?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/21 and 22\/119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -531 (c) 5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 2*a - 1 + (1 + 2*a - 1)*(-2 - 7 - 1) as m + d*a and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 903\/258 - 129\/(-2). What is the greatest common factor of o and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*g**4 + 4 - 2*g - 3 - 51*g**4 wrt g?\nAnswer: -1212*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*y + 6 - 6)*((2*y - 2*y - 2*y)*(-4 + 4 - y) - 19 - 16*y**2 + 19) to i*y + u + v*y**3 + p*y**2 and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*q + 339*q = 1107*q - 49500 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - g)*(-4*g - 20*g**2 + 2*g + 16*g**2)*(0 + 0 + g).\nAnswer: -8*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 3*a**2 + 4*a**2 + (-a + 1 - 1)*(6 + 7*a - 6) - 12*a**2 + 6*a**2 + 8*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2284, -7885, -16806, -29047, -44608?\nAnswer: -63489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/(5\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 15. Let p be o(-5). Suppose -2 = -11*r + p*r. Solve 6 + r = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23661 - -24262. Sort 4, -2\/5, r in descending order.\nAnswer: r, 4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 p when three letters picked without replacement from {p: 1, v: 2, q: 4, n: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 843557093 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:14 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193372300*-0.03.\nAnswer: -5801169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.15936?\nAnswer: 0.63744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930.371 days in hours?\nAnswer: 70328.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39756810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1671044060 to the nearest one hundred thousand.\nAnswer: -1671000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 + 12*l + 67. Determine z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4549, 9113, 13701, 18325, 22997?\n\"Answer: 2*d**3 + 4550*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/(2\/(-52)). Suppose -3*l = -5*l + 4. Suppose 0 = l*f + x - 135, 0*f - 3*x = 2*f - 145. Calculate the highest common factor of f and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 4. Let o be m(-3). Let d(g) = -5*g - 20. Let r be d(-3). Let s be (7 + r)*-1*21\/(-14). Solve o*u - 13 = -s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-1) - 3)*1. Let l be j\/2 - 18\/(-12). Suppose 5*v + 0*w = 2*w - 441, 0 = 3*v + l*w + 271. Round v to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587 - -675. Suppose -n + 7 = 4*o, 2 + 3 = -5*o. Calculate the highest common divisor of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22078254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4) + (37 - 43) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/1)\/(9\/(-6)). Let p(j) = -j - 1. Let r(d) = -2*d**3 + d**2 - d + 1. Let t be r(1). Let s be p(t). Solve s*y - 20 = -k*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117.28 - 115.28. What is the closest to h in 5\/3, 0, 2\/11?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 6*w + 5. Let v(h) = 5*h**2 + 7*h - 6. Calculate 5*b(j) + 4*v(j).\nAnswer: -5*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -355 times 2\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13945 minus -57559564?\nAnswer: 57573509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xng when three letters picked without replacement from {g: 1, x: 4, v: 2, i: 1, w: 1, n: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15063? (a) 1 (b) 4 (c) 572 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 4*y + 7*y - 15, 5*a - 10 = -2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 15)\/((-8)\/16) + -1 + 3. Let b(w) = -22 - 5*w + 3*w + 3 + w. Determine b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 20 = -2*x. Let k(l) = l + 7. Let t be k(-10). Put t, -2, x in decreasing order.\nAnswer: -2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17507 - 4*l**2 - 17507.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -131, 3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8911 or -9239?\nAnswer: -9239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -7 + 43, 4*x + 171 = -5*q + 133 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/3*s**3 - 2*s - 4*s**2 - 43. Give a(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fba + f9?\nAnswer: -ec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 620 - 364. Suppose z + c = 5*z. Suppose 0 = -0*t + 4*t - z. Calculate the remainder when 46 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 204965, 204465, 203631, 202463, 200961, 199125, 196955?\n\"Answer: -167*o**2 + o + 205131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(3\/7))\/(d*d*d**(-11\/2)*d))**(2\/71)\/((d**(-2\/5)\/d)**49*(d**(-1\/3)\/d)**(3\/4)) assuming d is positive.\nAnswer: d**(173241\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/2*a - 1\/2*a**2 - 23.\nAnswer: -(a + 2)*(a + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.347101 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -2*p - 27. Determine n so that 67*n**2 + 6*n**3 - 82*n**2 - p*n**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6.02. Which is the nearest to g? (a) -1\/3 (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(11\/6)*g\/g**5 assuming g is positive.\nAnswer: g**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 z when four letters picked without replacement from {z: 1, i: 11}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 348ac (base 15) to base 16\nAnswer: 28da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 13*s - 8. Let u(v) = 52577*v**3 + 3*v. Let c be u(s). Let l = c + -192622. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/(-20) + -1)\/(-1). Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/12 + (-5)\/30. Let c(g) = -2*g + 16*g + 2*g**y - 55 + 61. Is c(-11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259379 or 259378?\nAnswer: 259378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrg when three letters picked without replacement from uwrrgwurtwwrrrjrjj?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2815 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52316*c**3 - 8729*c**3 - 43589*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 43?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321614071 to the nearest integer?\nAnswer: 17934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 13 = -u + 2*x, 3*x = 3*u - 699. Suppose -4*p + 11*p - u = 0. Suppose 0 = 3*z - 44 - p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9293 + 199633*i**3 + 9293 - 199868*i**3.\nAnswer: -235*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 97*v**2 + 1285*v + 656. Calculate p(81).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -264 + 265. Let f(r) = 22*r + 1. Give f(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x - 596. Suppose 0 = 6*d - x - 80. What is the greatest common factor of d and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -94. Let g(s) = -s**3 + 2*s**2 - s + 103. Let k be g(0). Let r = k - l. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4101940 divided by 820388?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*o. Suppose 5 - 29 = -o*f. Calculate the remainder when 31 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(3 + 3 - 5)*(-4 + 5 - 3)*(-21 + 6*l**2 + 21).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6)*3\/(-2). Let d(f) = -2*f**2 + 5*f**m - f**2. Let b(i) be the third derivative of -i**5\/60 + 3*i**2. Calculate d(b(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-153)\/(-24))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938244 a multiple of 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80558 is divided by 11399?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 - (-771)\/(-6)). Is ((2 - 1)*k)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Let z be 0\/((-2)\/(-5)*5). What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 813 divided by 271\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3553 divided by -59\nAnswer: -3553\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((sqrt(28)\/sqrt(4)*-2 + sqrt(7) - sqrt(7)) + 5 - (5 + 2 + sqrt(1008)))**2.\nAnswer: 56*sqrt(7) + 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + n**4 - 3*n**4 + (-84*n + 98*n - 71*n)*(n**3 + 4*n**3 - 2*n**3).\nAnswer: -175*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071784 is divided by 2813?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3315129\nAnswer: -16575645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r*u**5 + 4*r*u**2 - 5*r*u*w + 12*u**2*w + 509*u wrt u.\nAnswer: 120*r*u**3 + 8*r + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i - 2645 = -1012 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11054542 by 6.\nAnswer: -5527271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02579 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/93? (a) 1 (b) 45 (c) -4 (d) -3 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = -0*z - 5*p, -3*p - 6 = 5*z. Suppose -3*a + 17 - 5 = z. Suppose 4*h + 20 = a*u - 12, 3*u + 3*h = 12. Solve 0*k - 2*k - u = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -62 + (-60 - -96)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -77.9. Let j = 37 + a. What is the third biggest value in -0.3, j, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (0 - 3)*(-64)\/12?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/840 + b**5\/20 + b**3\/6 + 3*b**2. Let m(o) be the first derivative of z(o). What is the second derivative of m(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 600\/2345 - (-46)\/1541. Factor -f*o**2 + 4\/7*o + 0.\nAnswer: -2*o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24280 is divided by 1615.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*-5*(0 + 0 + sqrt(396)))**2.\nAnswer: 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.3. Suppose -4*l + 6 = m + 2*m, 4*l - 18 = -5*m. Suppose n + m = 3*n. Which is the nearest to 0.1? (a) 0 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 1. Suppose j - 4 - 2 = 0. Calculate y(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(-7 + 1 + 1)*(34*a + 26*a + 13*a).\nAnswer: -1460*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 1, d: 1, z: 1}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, 32, 72, 52, -82, -384, -908?\n\"Answer: -9*c**3 + 51*c**2 - 44*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1154323 (base 7) to base 2.\nAnswer: 100100001000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 0*p**3 - p**3 + 0*p**3 + (-3*p + 3*p + 2*p)*(4*p**2 - 4*p**2 - 2*p**2) as s*p**2 + h*p**3 + m + w*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {x: 1, p: 1, j: 1, z: 2, c: 1, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose -4*y = y - 415. Let s = -48 + y. Solve o + p*o - 1 = -q, s = -5*q + 3*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62937 + 5?\nAnswer: -62932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcxllxxxcl. Give prob of sequence xx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o + 15. Let x(s) = 19*s - 29. Let m(n) = -5*t(n) - 2*x(n). Let y(k) = -3 - k + 3*k + 0. Let a = -19736 + 19730. What is a*m(g) + 34*y(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 679 + 13*n + 677 - 1350 in the form g*n + k and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 190, 207, 208, 187, 138, 55?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9 and -79\/75588.\nAnswer: 226764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7082 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j + 112*j = 0. Let o = -12 - -12. Let z be (-1 - 8\/(-6))*o. Solve 3*t + 9 + j = z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 321 + -560. Let v = 449 + s. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.02 - 0.69. Let o = r + -6.33. Is -18 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 + 0*c**3 + 3*c**3 + c**2 - c**2 + (3*c**2 - c**2 + 0*c**2)*(5 - 5 - 3*c))*(3*c + 13 - 4 - c).\nAnswer: -2*c**4 - 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q**2 + 42 - 42 to the form n*q**2 + f + v*q and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(1\/42)*r**(-8)\/((r*r**(7\/6))\/r*r))**(-2\/11) assuming r is positive.\nAnswer: r**(425\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/1380 - 4*a**5\/5 + 368*a**4 - 270848*a**3\/3 + 149*a**2. What is s in b(s) = 0?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:30 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:10 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-84)\/35. Solve 5*t + 3*y + 13 + 3 = 0, y + h = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-3) - -3 - 3. Suppose 0 = -4*g + z*j - j + 8, -5*j + 25 = 5*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1429 + 1428. Let l(g) = g - 1. Calculate l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(34)\/sqrt(2) + 3 - sqrt(17)) - sqrt(68)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 50.2, 2\/141, -5, -2\/211 in increasing order.\nAnswer: -5, -2\/211, 2\/141, 0.5, 50.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7*i - 70 = -5*b, 0 = 4*i + 2*b - 98. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391920 divided by -48\nAnswer: 8165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 6\/7, 166\/5, -1\/4?\nAnswer: 166\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 9885*y**2 - 147150*y.\nAnswer: -5*y*(y + 15)*(y + 1962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.758211 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 - 4. Let m(u) = -6*u**2 - 5. Let q(x) = x + 9. Let n be q(-13). Let p(h) = n*m(h) + 5*g(h). Let a(i) = 2*i. Calculate p(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195, -1714, -5883, -14028, -27475, -47550, -75579?\n\"Answer: -221*u**3 + u**2 + 25*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a millennium in months?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8909659 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:47 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -55742 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/(27\/15). Let o = -6 - -5.9. Suppose y = 0, 15 = 4*b + b + 3*y. What is the closest to 0.1 in o, b, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 5.3000023. What is r rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*p - 12 + 3 + 10 - 1 in the form j + z*p and give z.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 + 3 = -4*u, 4*u - 3*h = -24. Let x(a) = a**3 + 4*a**2 + 3*a. Let m be x(u). Let t = -12 + 22. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 198*g - 567.\nAnswer: -3*(g + 3)*(g + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5566 (base 7) to base 12.\nAnswer: 11b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974395 divided by 394879.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 4, y: 1, p: 3, j: 2, a: 1}. What is prob of sequence papc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 15) in base 8?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = x, 47*m = -3*x + 51*m + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100 + 133203202?\nAnswer: 133201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 13*b + 58. Let t = 59 - b. Is t bigger than 3\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9126359399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62847 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uhuo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -629*c + 530*c - 2277 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 - 2*q**2 + 19*q**2 as m*q**2 + k*q + j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-1 + 16 + 6)*(-7 + 7 - 7*y) to the form l + f*y and give f.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - (95 - 175) - -43?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46074 + -81?\nAnswer: 45bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 237618479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**(-2\/11)*g)\/g*g*g*g**(1\/11)\/g)**(-8)\/(g**(-6\/5)\/(g*g**(-1\/3)*g)*(((((g**(-2\/5)*g)\/g)\/g)\/g)\/g)**(13\/3)) assuming g is positive.\nAnswer: g**(-312\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -59. Suppose 2494 = -w*z + 670. Let v = z + 809. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 3:54 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 7:33 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*o - 7*o. Suppose -4 = g, 3*g + 9 + 5 = k. Solve -4*h = o*c - 14 - 12, 0 = -k*h - 5*c + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 13*q**2 - 7*q - 39. Let p(g) = 2*g**3 + 11*g**2 - 6*g - 38. What is -6*p(v) + 5*x(v)?\nAnswer: -2*v**3 - v**2 + v + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011000 (base 2) in base 8?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 7:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1.36.\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3096 - 3\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 2*r**2 - 3*r - 5. Let s be b(-4). Let c = -41 + s. What is the units digit of 12\/((3\/c)\/(207\/(-12)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 13*f**4 - 31*f**4 + f**4 - 4*f**4 + 5*f**4 + (-1 + f + 1)*(3 + f**3 - 3) + f**4 - 3*f**4 + 0*f**4.\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 9. Calculate z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1415878 = -1415881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*q**5 + 308*q**4 - 16*q**2 + 58*q + 66.\nAnswer: -3660*q**2 + 7392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b7a43 (base 12) in base 16?\nAnswer: 77c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z**3 - 4*z**2 + 5*z - 7. Let t(a) = 16*a**3 + 6*a**2 - 7*a + 10. Give 7*q(i) + 5*t(i).\nAnswer: 3*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 3*n**2 - 3*n - 4. Let t be u(4). Let c = 5.106 - 2.106. What is the nearest to -4 in c, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -2\/9 (c) -190 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 319*m + 1876. Let u be f(-6). Let h = 23.19 - 23. Which is the smallest value? (a) h (b) -4 (c) -1\/4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10426720, 10426718, 10426716, 10426714, 10426712?\n\"Answer: -2*n + 10426722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 346 + -252. Solve -97*r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4851 and 5005.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36 + (-1 - -2) - 3. What is the greatest common factor of 272 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 40 + 44 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 a factor of 666498885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 660949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34429172*i**3 - 2*i**2 + 307534386*i.\nAnswer: -206575032*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9168 and 4797312.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/((-24)\/13 - -2). Let s(o) = 5*o - 1. Let w be s(1). Let b be 8\/(-32) - q\/w. Solve 3*z + b = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -9, 14, 57, 126?\n\"Answer: i**3 + i**2 - i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 3*m**8\/56 + 13*m**6 + m**4\/6 - 491*m**2\/2 + 6974*m. What is the third derivative of i(q) wrt q?\nAnswer: 360*q**3 + 9360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 5*k**2. Let u be y(-5). Let b(z) = 5 + z + u*z + 3*z. What are the prime factors of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -328.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 67, 97?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (0 - 2) - 2. Suppose -h = r*y - 5*y + 7, 0 = -4*y + 20. Find the first derivative of 0 - 3*f + h + 0 wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-116)\/(-14) + (-6)\/21. Let t be (-50)\/225 - 76\/(-18). What is the smallest common multiple of 1*12\/(g\/t) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54954 from -355.\nAnswer: -55309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34437?\nAnswer: 3, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10535)\/2 + 6)\/(3\/(-6)).\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2. Suppose 0 = s + 4*h + 10, -3*h + 7 + 5 = 4*s. Let t(o) = -3*o - s + 6. Calculate a(t(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185730937*z**3 + 229958675*z - 1.\nAnswer: -1114385622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -2\/75*u**5 - 2\/15*u**4 + 2\/5*u**3 + 0 + 29*u**2 - 2\/525*u**7 + 2\/75*u**6 + 0*u. Find a such that t(a) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-44)*(-6)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 14*a**2 - 6*a**2 - 415*a + 833*a - 416*a.\nAnswer: -4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r. Let a(d) = 52*d. Determine a(k(c)).\nAnswer: 260*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 16*j**2 + 16*j - 12. Let l be g(-17). Suppose -t = -2*q + 5, 2 + 1 = -3*q + l*t. Solve 7*y + 2*v - 8 = 2*y, 0 = v - q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*r + 16, 6 + 14 = 5*r - u. Calculate the remainder when 4 is divided by ((-2)\/8)\/(r\/(-48)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/164*(-144)\/30\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/420 + 16*q**4\/21 + 2048*q**3\/21 + 1080*q**2. Suppose f(y) = 0. What is y?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5 + 265\/50)\/((-6)\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7*j + 4. Let w be r(5). Let y = -9 - w. Let k(h) = -h**2 - 5*h - 3. What is k(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 3, o: 2, u: 3, z: 4, w: 2}. Give prob of sequence oz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 245\/(-40))\/(-363*(-12)\/432 - 10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349745*s**2 + 178375*s**2 - 9 + 171368*s**2.\nAnswer: -2*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280069501 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 2*z**2 + 5*z + 3. Let f be p(-1). Which is the second biggest value? (a) f (b) -0.4 (c) 0.2 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1\/2, 5, 1\/2 in descending order.\nAnswer: 5, 3\/2, 1\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 2. Let d = -57 - -60. Let w(m) = -m + 2*m - 265 + 234 + d*m. Let n be w(9). Give v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 819 by 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2\/5 - 153\/170). Solve 0 = -g + 5*g - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145119 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6*9\/((-108)\/128) and (-399)\/(-28)*(-8)\/(-6) - -5.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-3465)*-143 + -17?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.2099 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.43561ml to litres.\nAnswer: 0.04643561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**6\/6 - 11*h**4 - 38*h**3\/3 + 43. Find the third derivative of x(m) wrt m.\nAnswer: -60*m**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/17 - 52680*q**4\/17 + 105238*q**3\/17 + 3002424*q**2\/17 + 2844504*q\/17 = 0.\nAnswer: -6, -1, 0, 9, 26338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44713508 to the power of 1\/2, to the nearest integer?\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9 - 286253\/(-3498))\/((-7)\/(-6))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 242\/(-14) + 6\/21. Let o = l + 24. What is the units digit of (5 - o)*(-22)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21646879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 2*a + a, 2*a = 5*x - 23. Suppose -6 = 3*o - 4*o. Let b(f) = o*f - 3*f - 4*f. Give b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51130 - 51130 - 743*u**2 + 3*u**2 - 6*u**2 + u**2 - 1 - 2*u**2 + 1 + (-2*u - 2*u + 2*u)*(2*u - 1 + 1) to v*u + i + r*u**2 and give r.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010001111010100000101 (base 2) to base 8.\nAnswer: -22172405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 27. Let b = 0 - -2. Let c = b - o. Calculate the lowest common multiple of c and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25230.1797 + -25230. What is b rounded to 3 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3) + (-884)\/(-195). Suppose -34\/5*t**3 + 68\/5*t**2 + 6\/5*t**4 + j - 56\/5*t = 0. Calculate t.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 - 5 = -4*b, -2*p - 2*b + 10 = 0. Suppose 0 = -p*z + 256 - 76. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-10)*-2 + (6 - -4). Let y(f) = 2*f - 3. Give y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-12)\/(-20). What is the third smallest value in -5\/3, 2\/17, y, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*b + 496*b - 172*b - 164*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 - 9630*v = 0.\nAnswer: 0, 4815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(153) - (sqrt(153)*-2 - sqrt(153)))*3 - sqrt(153) - 3*sqrt(153)*1))\/(((-6*-2*sqrt(108) - sqrt(108)) + sqrt(108))\/(sqrt(48)*1)).\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffxh when four letters picked without replacement from {u: 5, b: 1, h: 2, n: 1, x: 2, f: 2}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 1. Let v(l) = l. Give m(s) - 5*v(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 = 3. Let g = w + 13. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r + 1. Let y(h) = 8*h - 2. Let a(j) = 3*d(j) + 2*y(j). Let m(x) = x**2. Calculate m(a(u)).\nAnswer: 64*u**2 + 16*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 11*p**2 - 2*p**2 + p**3 + p**2 + 3*p - 2. Let h be m(-5). Suppose h = 6*l - 278. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 714 + 699 = 0, -4*m - y = -19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10194 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7790250, -7790225, -7790200, -7790175, -7790150, -7790125?\n\"Answer: 25*m - 7790275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/15)\/((-350)\/(-6370)). Is 22 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**3 - 6*h**2 + 5. Let n(i) = -15*i**3 + 13*i**2 - 11. Let g(s) = 6*n(s) + 13*z(s). Differentiate g(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m**2 - 20*m - 19. Give p(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 7. Let h be b(3). Let n be (-1 + h)*(0 + -2). Solve 5*w - n*w - 2 = -p, 13 = 3*w - 4*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - 6 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5297 - -8314. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:42 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 8*j + 10. Let z be (1 - 6)*(-1)\/6*-6. Let n be m(z). Let k(r) = r - 13. Let w be k(n). Solve -4*l = -w*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m + 10*m - 21 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -3*a - 3864. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h. Let z be w(0). Let g be -1*(z - -1) - -21. Let s(n) = 37*n - 81. Let f be s(3). Calculate the greatest common divisor of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 57344.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 2, g: 2, k: 3, z: 1}. What is prob of sequence goz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 286, 564, 844, 1126, 1410, 1696, 1984?\n\"Answer: p**2 + 275*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.1 + 15. What is the nearest to a in -5, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*o - 16239 = 0, -2*x - 46*o + 10826 = -47*o. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1645836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 73*q**2 + 2*q - 1. Let m be b(1). Let n = -145\/2 + m. Which is greater: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (-324)\/(-32) - ((-54)\/(-48))\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 17. What is the remainder when i*(-16)\/(8\/(-2)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 - 2*y - 2. Let p(f) be the second derivative of f**3\/2 - 3*f**2\/2 - 4*f. Determine -4*h(q) + 3*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*n - 42*n - n**2 + (3 - 3 - n)*(-2*n + n + 3*n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.124 rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/5 + 323739351*s\/5 + 323739348\/5 = 0. Calculate s.\nAnswer: -107913116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-13) - (-603)\/117. Suppose z - 21 = 5*b, -5*z + v*b + 1 + 24 = 0. Suppose u + 3*s - 14 = 0, -s + z = -0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + -22 + 38)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9*v = 5*v - 4667660, v = 4*j - 9335341. Suppose 6*h - j - 2106164 = 0. Round h to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1714 and -2.\nAnswer: 0.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700 divided by -5?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((5\/3 - 2) + 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -22\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41720671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/55878 and -3\/102443?\nAnswer: 614658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 82, 216, 476, 904, 1542?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.5 + -19. Which is the smallest value? (a) -4 (b) j (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqwhwwqwwwwqqbwbqw. What is prob of picking 3 b and 1 h?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 11. Calculate the greatest common divisor of 38 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 644034, 1288135, 1932236?\n\"Answer: 644101*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {m: 3, k: 7, o: 8, y: 2}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(24\/13))**(-50\/3) assuming a is positive.\nAnswer: a**(-400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 38053228*n**2 - 90502991049632*n + 90503029102864.\nAnswer: -4*(n - 1)*(n + 4756654)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867, 3544, 8031, 14328?\nAnswer: 22435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c*c)**(2\/13))**11\/((c**(-2\/7)*c)**(-24)\/((((c*c*c**(2\/7)\/c*c)\/c)\/c)\/c*c)**(19\/5)) assuming c is positive.\nAnswer: c**(9834\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daad. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z - z)*(0 + 0 + 2) - 9 + 9 - 8*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 8. Let n(s) = -2*s - 18. Suppose 3*k + 29 + 4 = -w, -3*k = -5*w + 51. Let z be n(k). What are the prime factors of u(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 + -174. Let j = a - 90. Suppose j*b = -2*b + 6350. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24551026 divided by -1286\nAnswer: -19091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)\/(2\/8). Suppose -4*m - 4 = -4*b + d, m = 3*b. Let k = -5 - m. Let f(h) = h**3 + 2*h. Let a(l) = 4*l**3 + 7*l - 1. Determine k*a(v) + 7*f(v).\nAnswer: -v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Suppose -4*k + 4 = -4. Let y(g) = 1 - 4 + 3 - 3*g**k. What is y(r(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211501 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 11*p**2 + 15*p - 15. Let l be i(12). Let d = l + -85. Let z = -81 + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3133890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(2\/13)*(z**(-2\/5))**(-45))\/((z*z**(-2))**(-24))**49 assuming z is positive.\nAnswer: z**(-75274\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -27228 in increasing order.\nAnswer: -27228, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*u - 146 = 93, 5*x = 3*u + 221. Calculate the greatest common factor of 207 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 - (3 - (4 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/40 and -61\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 76, 3, 60, -4, -3\/4, 5\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*z - 45 = -0*f, 2*f - 2*z - 14 = 0. Let k = 8 + -6. Let y = 3 + k. Calculate the highest common divisor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r. Let l(n) = -98*n. Give d(l(q)).\nAnswer: 490*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*u**3 - 203 + 135*u**2 + 63 + 4 + 17*u**3 - 137*u + 22*u**4 - 21*u**4 = 0.\nAnswer: -136, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1265 (base 8) to base 15\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a - -2?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -16)*(5 - (-45)\/(-10)). Let t be 4 + 2 - (g - -18). Let r = 1 + 0. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5\/3, -1, -0.07 in ascending order.\nAnswer: -1, -2\/13, -0.07, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 43530687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = t + 11*m - 2184, t - 2136 = -5*m. Calculate the least common multiple of t and 570.\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-908 + 431 + 431)*(g - 3*g - g) in the form l + b*g and give b.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1987 or -22082?\nAnswer: 1987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 165*w**4 + 963*w**3 - 1435*w**2 + 636*w.\nAnswer: w*(w - 159)*(w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - a**5\/15 + a**4\/4 + 5*a**3\/6 - a**2. Let c be i(-5). Let l = c + 14. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**3 + 8*p**2 + 62*p + 9. Let a be s(-5). Calculate the highest common factor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) 2\/721 (c) -1\/122 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -96.14?\nAnswer: -96.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*f - 753*f = -383*f - 312 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*2)*-1)\/sqrt(4))\/((-1*sqrt(275) + sqrt(275) + sqrt(275))*6)*-6.\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101726857*c - 27726519 wrt c?\nAnswer: 101726857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180628 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let z(x) = -2*x**2 + 22*x - 1. Let p(r) = -6*d(r) + z(r). Let v be p(8). Let h be -3*(-2)\/(-15)*-10. Sort v, h, -4 in decreasing order.\nAnswer: v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-9 - -3)) + -3 + 18 + -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from mcrmgrggclrmhgchr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**5 + 147*o**4 - 949*o**3 + 2*o**2 - 578717*o.\nAnswer: -180*o**2 + 3528*o - 5694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*h*r**2*x**2 - 6*h*r*x**2 - 4*r**2*x**2 + r**2 + 47*r*x**2 wrt h.\nAnswer: -37*r**2*x**2 - 6*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -233, -18, 2, -187, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896757861 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/24 + 1080\/576.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 3*q - q**2 + 4*q to the form c*q**2 + a*q + v and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 - -3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319391295.\nAnswer: 3, 5, 31, 686863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 34*t + 23 = p, -24*p + 45*p = 26*p - 55 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -3, 0.3, -0.1 in ascending order.\nAnswer: -3, -0.1, 0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*w + 13*w. Suppose -d + 930 = -4*u, 4*u = -w*d - 886 + 3660. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let r(u) be the third derivative of 0*u + 0*u**3 + 0 - 24*u**2 - 2\/3*u**4. Determine r(m(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*y - 102*y = -807433. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 times -5\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71\/2 - 1\/2*j**2 - 36*j.\nAnswer: -(j + 1)*(j + 71)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let a = 4.005 + 0.045. Let g = a - 0.05. What is the third smallest value in g, -5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x - 6. Let p(o) = 5*o + 3. Let l(n) = 6*d(n) + 11*p(n). Let j = 37 + -64. Let c be (-4)\/18 + (-168)\/j. What is l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1416 (base 7) to base 10\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342 + -342.3. Which is the biggest value? (a) -2 (b) n (c) -9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*y**2 + 137*y**2 + 66*y**2.\nAnswer: 304*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8063577.999993 - -8063565. Let v = m - -13. Round v to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:10 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 5821987?\nAnswer: 5821987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 1, v: 1, e: 1, t: 1, f: 2, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 28. What is the greatest common factor of 171 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 26\/(-2) + -1. Let x(r) = -7 + 104*r - 99*r - 1 + r**2. Is 3 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, i: 1, d: 2, s: 5, b: 1}. Give prob of sequence bi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 + 9*j**2\/2 - 32*j - 20. Let z be o(-12). Solve y - 2*v - 2 = 0, z*y + 35 - 7 = -4*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18)*p*p\/p**2*p assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/7 + 124*k**3\/7 - 2370*k**2\/7 + 1768*k + 14872\/7 = 0 for k.\nAnswer: -1, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463 is divided by 201.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1.519901?\nAnswer: 2.480099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + n**3 + (-17 - 5*n**2 + 21 + 18*n**2 + n)*(5*n - 9*n + 0*n).\nAnswer: -51*n**3 - 4*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r - 103 = 71*r + 47 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 0*r - r + r - 13 - 9*r.\nAnswer: -r - 13","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 - 25*u - 236. Give g(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.537 + -8.6. Let c = 23.2238 + 0.0762. Let z = 22.3 - c. Is z equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -133, -79, -1, 113, 275, 497, 791?\n\"Answer: 2*g**3 + 40*g - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 - 4*x**4\/3 + 11*x**3\/2 - 73*x**2\/2 - 3*x + 6. Let j be n(14). Let z(a) = a**3 + 3*a**2 - 2*a - 2. Determine z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249.25 plus -0.4?\nAnswer: 1248.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 337 + -157. Let g be ((42\/(-35))\/(-3))\/(6\/v). Let h(s) = s**3 - 2*s**2 - 5*s. Let a be h(4). What is the greatest common factor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447040 by -16.\nAnswer: -27940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) 0.4 (b) -2.49 (c) 0.2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/50 + i**4\/10 + 2*i**3\/15 - 38*i. Solve u(k) = 0 for k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*o**2 + 46*o**2 + 4 - 4.\nAnswer: -705*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 5*a + 66. Let g be l(-7). Suppose 5*f + g*s = 2748, -6*f = -2*f - s - 2195. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c - 4. What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = 17. Let u(v) = -v**3 - 9*v**2 - 2*v - 7. What is the least common multiple of w and u(-9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose -q + 20 = 2*k + 2*k, -2*q = -3*k + 15. Let o = -32 + 127\/4. What is the closest to j in o, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 29, 49, 87, 149, 241, 369, 539?\n\"Answer: z**3 + z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-632320)\/(-910) + 8\/7?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2448) - -1*sqrt(2448)) + -5)**2.\nAnswer: -480*sqrt(17) + 9892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*m*u*v**2 + 46*k*m*v**2 - 10*k*u + 2*m*u*v - 110*m*u + m*v + u*v**2 + 2*u*v wrt k?\nAnswer: -m*u*v**2 + 46*m*v**2 - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r + 2*r**2 - 6 + 12*r + 1 + 1 in the form w*r**2 + n*r + l and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202*q - 240 wrt q.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50.350719416 + 3.\nAnswer: -47.350719416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 2*w**2 - 16*w + 36. Determine u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2256578*o**3 - 2*o + 4512500*o**3 - 2255907*o**3.\nAnswer: 15*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 - 265. Let o = -119.000194 + g. What is o rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1184 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22523*p**2 - 23346.\nAnswer: -45046*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 4*w - 8. Suppose 0*f + 7 = f. Let a(c) = 12*c**2 - 11*c**2 + c**3 - f*c**2 + 6 + 5*c. Let u be a(5). Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 35*f + 1. Is s(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 14 + 18 = 0. Let o(g) = 2*g + 11. Give o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707\/42 - 4 - (-18)\/(-54).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -71. Is (-16945)\/q + 18\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/6738 - 10111\/26952. Let y = -66 + 135\/2. Sort y, 0.1, m, 4.\nAnswer: m, 0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6912 - -6917. Solve h*t = -4*i + 28, -t - i + 8 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1850 = -8*v. Calculate the highest common divisor of 330 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*w**3 - 522*h**2*w**3 - 857*w**3 with respect to h.\nAnswer: 6*h**2*w**3 - 1044*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63\/2 - -31. Let z = 2.3 + -2. Let x = -0.7 + z. What is the smallest value in g, 2\/7, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 + k - 5. Let y be d(0). Let c be (3417209292\/(-30))\/(-7) - (-1)\/y. Suppose -c = -2*r - 4672425. Round r to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182058, 363874, 545450, 726786, 907882?\nAnswer: 1088738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57474303 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*i + 2, -3*i = 7871*u - 7874*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 55.5. Let f = 15 - u. Which is the smallest value? (a) 0.4 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 36*s - 17. Let b(y) = -71*y + 32. Determine -6*b(n) - 11*w(n).\nAnswer: 30*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129\/56 - 17\/7. Let v(g) = -g - 4. Let d be v(-3). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -61, -96, -131, -160, -177, -176, -151?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -21, -4, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 9*v - 11072904 = 0. Suppose -v = -11*r + 3818258. Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 20*a + 63. Let o be g(-11). Is (-15422)\/(-10) - o\/45 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 185. Let y(t) = -3*t**2 - 2 + 3*t**2 - t**3 - 2 + 2*t + 4*t**2. Let k be y(3). What is the highest common factor of a and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -427 + 7261\/17. Let p be (-6)\/(-15)*(-6)\/(-4). Let u = 0.63 + -0.23. Which is the third biggest value? (a) u (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (1 - 6\/3). Differentiate -2 + 2 + 0 - l*p**4 - 3 with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t + 2 - 3\/2*t**2 - 2\/3*t**3. Factor p(m).\nAnswer: -(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64428 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 0, 0 = a - l - l - 16. Let m(t) = -992*t + 11914. Let x be m(12). Solve -a*q + x*q = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*d - 1007 = 271 + 703 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/24191 and -3\/8.\nAnswer: 193528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(2880))\/sqrt(5))\/((sqrt(3) - ((sqrt(432)*-1 - sqrt(432) - sqrt(432)) + sqrt(432) - sqrt(3)))*1)*2)**2.\nAnswer: 3072\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1382*a**2 - 55*a + 181. Is b(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 57*z**2 + 56*z**2 - 115*z**2 as d*z + x + r*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 13.999966. Round z to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 17*n + 20. Let i be g(15). Let f = i - 94. Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/9 - 8072*s**3\/9 + 3620740*s**2\/3 - 4877131400*s\/9 + 4866277250\/9.\nAnswer: 2*(s - 1345)**3*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458218 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q - 1\/12*q**5 + 1\/120*q**6 + 0 + 1\/3*q**3 - 1\/4*q**4 + 9*q**2. Let m be h(6). Solve -m*b - 12 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 + 161. Let r = -48 + s. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) 0.5 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g + 26. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195051047, -195051046, -195051045?\nAnswer: -195051044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 8*x**2 + 6*x + 15 - x - x - 14. Give p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 13219*p**3 + 190 - 254 + 13221*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 3009\nAnswer: 300.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i**2 - 5*i + 2*i**2 + 1 + 7. Let g be s(-6). Let -6\/7*l**3 + 6\/7*l - 4\/7 + 4\/7*l**g = 0. Calculate l.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8351684, 16703364, 25055044, 33406724, 41758404, 50110084?\nAnswer: 58461764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15444796 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -0. Let t be (-7)\/(-3) + n\/3. What is the first derivative of 7*f**3 - 4*f**t + 6 - 3 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -3 + 7 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108347306*b**4 - 5*b**3 - 179820316*b**2?\nAnswer: -2600335344*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943299 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u - 16*u - 22*u)*(u + u - 4*u).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2823085\/92 - 30686. Let g = -221\/322 - w. Find the common denominator of g and (-42)\/(-22) - 3\/(-3).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 - 460 = 30*s + 520 - 326 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4927*o**2 - 2*o - 1. Let t be a(-1). Is ((-2)\/6 - 0) + t\/42 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 32. Solve a*x = x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 10. Let x be n(10). Let h(d) be the first derivative of -1\/2*d**4 + 2*d**2 + x*d + 2\/3*d**3 + 2. Factor h(i).\nAnswer: -2*i*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -165665*k + 2319317. Give b(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*k - 5*b, 0 = -k - 3*b + 45 - 75 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 282, -7, -31, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h**3 + 17*h**2 - 66*h - 106. Let q be t(6). Which is smaller: q or 6267\/2?\nAnswer: 6267\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**3 + 11*d**2 - 9*d + 8. Let p(v) = -8*v**3 - 13*v**2 + 10*v - 10. Calculate 4*p(n) + 5*w(n).\nAnswer: -2*n**3 + 3*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 67 = -3*z + 13, 2*x + 3*z = 32. Suppose 3*w + 0*w = -r + x, 3*r = 3*w. Factor 6*y - 2*y**3 - 8*y**2 - 2 + w*y**3 + 2*y**2.\nAnswer: 2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 + 215. Let u(h) be the first derivative of 0*h**2 + 5 + 2*h + 2\/3*h**j. Differentiate u(p) with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -110, -115, -124, -137, -154, -175?\n\"Answer: -2*f**2 + f - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3063 or 3066?\nAnswer: 3063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 - 7*q**3 + 33)*(5 - 2 - 2)*(-3*q + q + q) in the form w*q**3 + r*q**2 + m*q**4 + c*q + g and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**2 + 17*y**2 + 37*y**3.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/210*g**5 - 1\/42*g**4 - 1\/21*g**3 + 0 - 4*g**2 + 0*g. Factor q(n).\nAnswer: -2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 175*j - 194*j + 541*j - 190*j in the form f + g*j and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 10 - 0 - (-320)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 29*i**2 - 12*i - 39. Give n(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/13)*p)\/(p*p\/((p**4\/p)\/p)))**(16\/7) assuming p is positive.\nAnswer: p**(480\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**2)\/((o*o**(-1\/3))\/o*o)**(-10\/9) assuming o is positive.\nAnswer: o**(182\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 24 + 25 = -5 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23144 (base 6) in base 2?\nAnswer: -110011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12 + 27*i**2 + 29*i**2 - 55*i**2 + 8*i. Let p be l(-8). Suppose c = 4*c - p. Solve c*f - 5*k - 17 = 0, k + 13 = 4*f - 0*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -1\/4 (c) -3 (d) 2\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1185.53 or -0.85?\nAnswer: 1185.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127349 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 5, r: 3, v: 1, j: 1, k: 1, l: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31841.\nAnswer: 17, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.1 + 7.31. Let s = 0.19 + n. Which is the third biggest value? (a) s (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktvktztkkkktk. What is prob of sequence vtz?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -101?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 636.7605 centimeters?\nAnswer: 6.367605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 3*f**3 - 2 + 3*f + (0*f**2 - f**2 + 2*f**2)*(3*f + 1 - 1) as a*f**2 + s*f**3 + j*f + n and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -994837 divided by 994837?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*r + 303*r + 377 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**4 + 1 + 0 - 2*b**4 + 29*b**4 - 3*b**3. Let j(o) = o**3. Let y(p) = 3*j(p) + q(p). Differentiate y(t) with respect to t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -873, -1303, -1729, -2151, -2569?\nAnswer: -2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001314 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.374 to 1 dp.\nAnswer: 90.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3836*h + 23182 = 4182*h for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2 in descending order.\nAnswer: 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + w + 2 = 0, 3*s = 5*w + 2. Suppose m = 3, k + 0*k = -s*m + 511. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807009537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*x - 3*w, 3*x - 17 = -3*w + 46. Calculate the remainder when x is divided by 2\/4 + (-30)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 36) + 13 + -95 + 33\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1780123.\nAnswer: 1\/1780123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 - l + 6. Let v be w(7). Is v less than -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**6\/72 - 32*f**3\/3 - 18. Let x(v) be the third derivative of z(v). Let j(s) = -2*s. What is j(x(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a + 1. Let l(z) = 5*z**2 - 5*z + 5. Let k(r) = -l(r) + 6*m(r). Let v(s) = 14*s**2 - 7*s + 7. Determine -7*k(o) + v(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 - 7*k - 27. Let b be m(-2). Solve b*s - 139 = -6 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -8. Let z = 9 + -10.4. Let x = z + -0.6. Which is the closest to 0? (a) -2\/15 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3 and -19\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*x = -113*x + 8909824. List the prime factors of x.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/2 + 9*x**3\/2 + 27*x**2 + 6*x - 36 = 0. What is x?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17065\/6 >= 2843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 355.1 and 5.\nAnswer: 360.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**4\/21 - 142*v**3\/21 + 12*v**2\/7.\nAnswer: -2*v**2*(v + 18)*(4*v - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 44. Put 0.2, -12, 4, r in descending order.\nAnswer: 4, 0.2, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -8. Suppose -2*m = r*u - 32, 4*m + 6*u - 28 = 5*u. Differentiate 2 - m - 3*b**3 + 5 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23366\/9 or 2595?\nAnswer: 2595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p - 24. Calculate j(8).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 4057 - 14623 = 0. What are the prime factors of f?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 4*w**2 + 3*w + 2. Let k be q(3). Let r = k + 0. Suppose r*v - 7*v + 10 = 0. Solve -v*m - 1 = 5*a + 2, -4*m = a + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 36*r - 14*r - 11*r + 199 - 200 - 15*r.\nAnswer: -8*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:14 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 86*r - 2822. Calculate the remainder when y(34) is divided by (10 + 0)\/((-16)\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587744 is divided by 45211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2030.5 - -2030. Let t = 0.3 - 0.2. Is w smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525260 to the nearest ten thousand.\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6668022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29851, 29472, 28823, 27904?\n\"Answer: -135*d**2 + 26*d + 29960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k + 5. Let c be p(0). Let s(z) = 2*z**2 + 8*z - 3. Is s(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnqn when four letters picked without replacement from pqvppnunnpuh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-16)*4\/10)\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(-1)\/(15\/10). What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942954 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(6)*-4 - sqrt(6)))\/(4*sqrt(11)*3)*-5.\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 + 488*t. Let n(g) = -14*g**2. What is p(n(w))?\nAnswer: -1764*w**4 - 6832*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 181*i - 15 + 181*i + 3*i**2.\nAnswer: -i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:11 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2c473 (base 16) to base 14\nAnswer: 4a147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1708 + -1233. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 24*z - 25*z + 14, x = 2*z - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sasssissaisssss. Give prob of sequence ais.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -31*v**2 + 655*v + 583. Determine n(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5606002 centuries to millennia.\nAnswer: 0.05606002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1326 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 1786.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35\/112*-4 - (-27293)\/4.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**(-2\/21)*r*(r**(-6)\/r)\/r*r*r**4*(r**(-1\/8)*r\/r**(-1))\/((r*r**(-2)*r)\/(r*r**(2\/7))) assuming r is positive.\nAnswer: r**(11\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17735, 35428, 53119, 70808?\nAnswer: 88495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 2. Let k be w(4). Let j(c) = -10*c**2 + 4*c - 5*c - 5 + 9*c**k + 0. What is j(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.2 - 25. Let c = 0.119 + -0.009. Is h less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201586 divided by 121?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002307 to 7 dps.\nAnswer: 0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1167, -2331, -3495, -4659?\n\"Answer: -1164*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -0.1, -71370.67, -3, -4, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1615930485 to the nearest 1000000.\nAnswer: 1616000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from qqqrqqqqrrrr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.0013 micrometers in kilometers?\nAnswer: 0.0000003790013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5359 - -5363. Which is the third biggest value? (a) -123 (b) -4 (c) -2\/15 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -24*s + 1202. What is d(57)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001001111 (base 2) to base 8.\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33270 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 = 4*u - 7, 5*d + 5 = 0. Let h = u + 5. Let q = -5 + h. Solve 4*l - 10 - q = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 24*r**2 + 0.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 1 = -z + 5*p + 33, 0*z + 32*p + 157 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115\/252 - 1\/36. What is the smallest value in -8\/3, 1, o?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12064.4 + 12064. Which is the nearest to -188? (a) -0.1 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-39))**(1\/24) assuming q is positive.\nAnswer: q**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 3*h**2 + 2*h - 1. Let i be v(-2). Put -3, 8, i in decreasing order.\nAnswer: 8, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 20 + 7 = 0. Let y(j) = -j + 3. Let z be y(3). Let c(r) = 5*r + 0*r + 4*r**3 + z*r**3 + 5. Let h(k) = 2*k**3 + 3*k + 3. What is q*c(d) + 5*h(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 687240 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*i**3*n**4 - i**3*n**2 + 5*i**3 - 44842*i**2*n + 98729*i*n**3 + i wrt n.\nAnswer: 504*i**3*n + 592374*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from creccreyrrcyc. What is prob of sequence yc?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*q = -557*q - 4874 + 1261 - 1037 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1131 = -31469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -3, 0.\nAnswer: -3, 0, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 408\/66 + 2\/(-11). Let u(k) = 86*k - 129. Is u(l) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, h: 4, o: 3}. What is prob of picking 1 j and 2 h?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -87. Let q(p) = -5*p**2 - 2*p - 2. Let f(l) = -l**2 + 1. Let x(i) = -f(i) - q(i). Let a be x(-1). Solve b = a*y - 9 - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370 and 88118867?\nAnswer: 881188670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) 9\/518 (d) 2\/13 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let m = z - -9. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-187)*(-1870)\/(-2860)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 410.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1969*c - 2009*c + 394000. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284 (base 10) in base 13?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 12 - 37*o**3 - 6 + 323*o**3 to the form c + w*o**2 + t*o**3 + k*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2*x**5\/15 + 7*x**4\/3 + 26*x**3\/3 - 18*x**2 + 171. Factor p(g).\nAnswer: 2*g*(g - 1)*(g + 6)*(g + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 185840 = -704660. What is the remainder when y is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1944312 divided by -2\nAnswer: 972156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 7*h**2\/2 + h + 7. Determine y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48410 + 95859. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27631088266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233361 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 13. Let x be c(-10). Let g = 6 + x. Solve -g*d + 10 = -8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*v + 10, 4*v - 2*v + 3*x + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 2*j. Let o be -2 - (-1 - 1) - -2. Let f(i) = -i**2 - i + 3. Let y be f(0). Suppose -o*g + g = y. What is l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6678, 0, 5 in ascending order.\nAnswer: 0, 5, 6678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46.297 or 2328?\nAnswer: -46.297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -97119 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 2 + 5 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:36 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 10. Let x be 6\/9*42 - -3. Let z = -29 + x. Calculate the lowest common multiple of z and l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43 + 51*b**2 - 108*b**2 + 57*b**2 - 58*b**3 wrt b.\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 28 = k. Let n(g) = -g. Let s be n(5). Let y = s + k. Solve -y*h - 10 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 - 79*o**2 + 3*o - 3. Let s(k) = -11*k**3 + 118*k**2 - 5*k + 5. Calculate 8*h(l) + 5*s(l).\nAnswer: l**3 - 42*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0181827347 rounded to 6 decimal places?\nAnswer: -0.018183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.077 * 100.36.\nAnswer: 308.80772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 3. Suppose -143 = 54*u + 73. Let o(n) = n**2 + n - 2. Give u*o(p) - 3*g(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6222.2529 + -6222. Let q = -0.648 - -0.5981. Let n = u + q. What is n rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8494*j + 7*j**2 + 8262*j + 7*j**2 - 16756*j.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10856.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let f be -3 + 3 - (0 + 0). Let g = q - f. Solve 0 = g*k - 2*j - 10, 2*k = -k - 4*j + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 != -10859\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*y + 66 = 0, b - 82 = 5*y - 80. What is the least common multiple of b and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/3067 + 3057\/6134. Determine q, given that o*q**2 + 3\/2*q**3 + 0 + 3\/2*q**4 + 0*q + 1\/2*q**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*q**6 + 3*q**3 + 454*q**2 wrt q.\nAnswer: -8760*q**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 1. Let z be n(1). Let m be (-2*1\/z)\/(-3). Let o = -1.6 - 0.4. Which is the closest to -2? (a) 3\/7 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 67*j**2 + 0*j + 1\/3*j**4 + 0 + 0*j**3. Calculate u(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from rsrrnnsrrrnrrsrssss.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -104*c - 1453. Calculate s(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -50*d - 4. Let l be p(-4). Let j be (-2)\/(3239\/(-14378) + 4\/26). Calculate the highest common divisor of l and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2817 and 12?\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -13056\/13 and -1005 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-70))\/(4\/(-48)*3). Suppose 95 = 11*a - 6*a. Let m = 42 - a. Are m and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11988 divided by -9\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 39*n + 765. What is the remainder when 144 is divided by y(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(133)\/sqrt(7) - sqrt(19)) - (sqrt(19) - (sqrt(19) + 0))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-5140)\/1095 - (-6)\/(-9). What is the closest to 0 in d, 0.5, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83809 + 71953 = -2035*a + 97467 + 65687 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 11*n**2 - 20*n - 4. List the prime factors of w(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 43608*y + 87208. Give o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(245) + 4 + 5*-2*sqrt(245) + 5.\nAnswer: -91*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-558.\nAnswer: 167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, -387 in decreasing order.\nAnswer: 3, -1, -5, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*i = 2376 - 200 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.19 - 0.19. Let x = 23.6 - a. What is the nearest to -3 in -3, -5, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286639\/12 bigger than 357219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(6))\/(5*sqrt(5)*-1) - ((sqrt(128) + 5*2*sqrt(128))*5)**2.\nAnswer: -387200 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 7*i - 20. Let j be x(-11). Suppose 30 = j*z - 9*z. Find the second derivative of -18*k**3 - 2202*k**2 - 23*k + 2202*k**z wrt k.\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = -3. What is the tens digit of (1 + n)*(412\/(-8) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r - 6. Let a(j) be the second derivative of -3*j**3\/2 - 5*j**2\/2 - 271*j - 1. Let w = -6 + 11. Calculate w*m(c) - 6*a(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*l*o**3*y + 5*l*y**2 + 4*o**3*y**2 + 26*o**2*y**2 wrt l.\nAnswer: -30*o**3*y + 5*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-9) + 2\/9. Suppose 2*y - 6 = -2*z, z + x*z = y + 1. Let a be ((2 - 3) + z)\/2. Solve a = -5*v - 28 + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p. Let s(i) = -3*i + 2240297. Calculate x(s(a)).\nAnswer: 15*a - 11201485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 - m**3\/3 - 32*m - 70. Give i(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.97 minus -2.2?\nAnswer: -10.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.8, 2, 3, -83?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1021689 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690594304?\nAnswer: 2, 523, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2569.\nAnswer: 513.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25551, 51092, 76633, 102174, 127715, 153256?\nAnswer: 178797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1 + -3) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -1, -35\/6 in increasing order.\nAnswer: -35\/6, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3754735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 19, 27, 35, 43?\n\"Answer: 8*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-3)\/((-45)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w*x**2 - 7*w*x - w - 4*x**3 + x wrt x.\nAnswer: 4*w - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005904 to 5 dps.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 + 7*h + 12. Let m be b(8). Suppose c - 10 = -m*c. Solve 5*z + 3 = -c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or 74?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -151 (b) 4 (c) -1\/4 (d) -3 (e) -0.5 (f) 2\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1165?\nAnswer: 2\/1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + k - 41, 2*w + 2*k - 17 = 25. Suppose 0 = 8*d - 154 - 246. Calculate the greatest common factor of w and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/21 - (-6)\/(-9). Let j be (-4 - (-15)\/5)*-1 + i. What is the greatest common factor of 3 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 38?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (24 - 37)) + 2 - (-2 + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*s - 1107 - 4443 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (7 + -21 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001081 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -7*a - 15. Suppose 5 - 20 = a*n, 0 = 2*v - 3*n - 187. Calculate the remainder when v is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47388, -94763, -142128, -189477, -236804, -284103, -331368?\n\"Answer: n**3 - n**2 - 47379*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -401 - -411. Let n be 546\/s - (6 + 352\/(-55)). What is the highest common divisor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 112*q. Let v(c) = -1459594*c**2. Calculate v(d(n)).\nAnswer: -18309147136*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17828501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 173 - 317*b + 525 - 183 - 169 + 317*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*j**2 - 3)*(0*j - 4*j + 5*j) + 4*j**3 - 5*j**3 + 5*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/37, 5, 13, 3, 4 in increasing order.\nAnswer: -4, -1\/37, 3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 14 in decreasing order.\nAnswer: 14, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**3 - 13*z**2 - 938*z wrt z?\nAnswer: -18*z - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*p + 186180 = -137*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = -0*g - 110 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1614 - -1680. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 3, j: 1, o: 1}. What is prob of sequence nj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (54 + (-6 + 10 + -5 - 5 - 1))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:44 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from xxxxyxy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2 - 6*b + 3. Let k(t) = -3*t**2 + 25*t + 9. Let v(l) = l**2 - 12*l - 4. Let a(h) = 6*k(h) + 13*v(h). Let f(p) = -5*a(p) + 4*w(p). Give f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.667561l in millilitres?\nAnswer: 5667.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 5) in base 13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -129. Let o(j) = -8*j - 65 + h. Let a(p) = p**2. Give o(a(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 427162 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 10020?\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21064 + 10514 + 3*l + 10549 - l. Let d = 9 + -16. Let a(p) = -4*p + 2. What is d*x(o) - 4*a(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4*n + i**3*n - i**3*y + 19*i**2 - 2*i*n*y + 25*i*y + 43*i wrt i?\nAnswer: 60*i**2*n + 6*i*n - 6*i*y + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 23*i**4\/4 + 16*i**3 - 7*i - 2. Find the second derivative of z(p) wrt p.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(3*3\/(-12)). Do u and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 + 6. Let f = -196 + 191.95. Let y = f + 0.05. Which is the biggest value? (a) -3 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 14*l**3 + 206914*l**2 - 88688*l - 118240 = 0.\nAnswer: -14780, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(3\/5)\/p)\/p*p*p)**(3\/38)*(p**(-3)*p)\/p**(14\/5) assuming p is positive.\nAnswer: p**(-873\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/2)\/(6 - 9510\/1584)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/(n\/n**(-7)))\/(n*n**(-2\/11)*n\/n**(6\/7)) assuming n is positive.\nAnswer: n**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 55*i - 146. Let u = -136 - -120. Let g(w) = -4*w**2 - 164*w - 440. Let v(j) = u*p(j) + 5*g(j). Suppose v(q) = 0. What is q?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i**2 + 5*i. Let b(h) = -10*h**2 - 3*h. Let v(c) = 5*b(c) + 3*u(c). Let t be (24\/4)\/(2\/18). Let p(r) = -54*r - r**2 + t*r. Calculate p(v(a)).\nAnswer: -169*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 637513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.5 - 18. Let f = 0.5 - x. Which is the third smallest value? (a) f (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a. Suppose 2*w - 10 = a, -x = -2*x - 5*w + 27. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126135 and -0.2.\nAnswer: 25227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -35*a**3 + 2*a**2 + 2*a. Let o(k) = -34*k**3 + 3*k**2 + 3*k. Suppose 16*t - 20*t - 18 = 2*b, 29 = -2*t - 5*b. Determine t*o(u) + 3*q(u).\nAnswer: -37*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let z = -319 - -319.1. What is the third biggest value in z, q, 1.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = 6. Let h = 0 + p. What is the smallest value in 3\/7, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 46 + 54 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k**5 + 21*k - 21*k + (-2 + 0 + 0)*(0*k**2 - k**3 - 67*k**5 + 58*k**5 + 2*k**2).\nAnswer: -k**5 + 2*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/33*(-96)\/(-400)*-20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*m = 0, -3*m = -2*u + 2*m. Suppose -3 = j + 2*j. Let k be (u + 2 + -2)\/j. Solve -h + 0*h - 1 = k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11320?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 705883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8007*o - 621425 = 1193*o - 219399 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38622 + 157033 = 5*d + 5*v, -5*v - 39107 = -d. What are the prime factors of d?\nAnswer: 11, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 10. Let j be v(7). Suppose -2*y = 5*p - 27, -p + j*y + 0 = -2. Let l = -1.5 - -2. What is the second smallest value in -1\/3, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17248 - 17247.40056. Let q = l + -0.6. What is q rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 12539574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*d + 3 = 8, 2*t + 3*d = 21. Suppose -t*b - 40 = 5*b. What is the common denominator of -61\/57 and ((-1)\/((-99)\/(-13)))\/(b\/(-15))?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-45) - (-44)\/5. Let m = 12.5 + -12.5. Which is the biggest value? (a) 0.4 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13*z)\/(z**(-11\/2)\/z) assuming z is positive.\nAnswer: z**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 64*a**2 + 30*a + 190. What is q(-5)?\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -329, -333, -339, -347, -357, -369, -383?\n\"Answer: -z**2 - z - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004413 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24337, 24309, 24281, 24253, 24225, 24197?\n\"Answer: -28*f + 24365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3876*m + 2963. Is x(-69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 731\/153 - ((-8)\/9)\/4. Suppose -6*l - 30 = -3*f - 4*l, 0 = -q*f - 5*l + 25. What is the third biggest value in f, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13428 is divided by 395.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x**3 - 188*x**3 + 63*x**3 + 63*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16c (base 15) in base 8?\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, 4, -45 in increasing order.\nAnswer: -45, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -200, -339, -478, -617, -756?\n\"Answer: -139*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (-9)\/(-9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - (-6 - (-12 - -5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74264 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 231*m + 1339. Give b(-110).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264*g - 822*g - 170*g to the form r*g + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*6\/(-2) - (-3 + -2). Suppose -3*n + 0*n = -f*z - 11, 0 = -2*n + 6. Is (-8 + 5 - 2*z)*-251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2*v + 20. Let o(n) be the third derivative of -n**4\/12 - 4*n**3 - 10*n**2. Let p be o(-12). Let k be i(p). Solve -3*r = 2*r + k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 843 - 844. Put q, -13, -3 in increasing order.\nAnswer: -13, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owms when four letters picked without replacement from sexwoms?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 20*i**2 + 47*i - 21. Give w(22).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*y, -2*y = 5*b - 556 + 532 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**3 - 6*s*y**2 - 651*y**2 wrt s?\nAnswer: -6*s**2 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4672 divide 143743511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 18674*m**3 + 4*m**2 - 2*m. Let y be l(1). Suppose -y = -22*k - k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7104.11kg to grams.\nAnswer: 7104110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2024 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((j\/j**(-2\/3))\/j)\/j*j)\/j*j)\/j**(-1\/7))**6)**(-22))**11 assuming j is positive.\nAnswer: j**(-8228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*w + 12204, -4*r - 6207 - 9061 = -5*w. List the prime factors of w.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2. Let c(w) = 4*w**2. What is p(c(g))?\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -16 + 1\/3*d**3 - 3*d**2 + 7*d. Let m(r) = -r + 1. What is 5*m(v) - z(v)?\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(20\/9900*-22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:06 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 2*m - 40. Solve 3*v + 2*v = 2*r - m, 2*r = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/8 + s**2 + 312. Let b(x) = x - 2. Let q(j) = -3*j + 9. Let o(h) = -9*b(h) - 2*q(h). Determine o(r(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 12*u**2 + 13*u - 6. Let r = -23 - -34. List the prime factors of f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 2. Let x be 3\/(4\/(-2) + 1). Let y(k) = k + 3. Calculate x*m(o) - 2*y(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70786, 141547, 212308, 283069, 353830, 424591?\nAnswer: 495352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {t: 1, l: 4, u: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*i**2 - 48 + 7*i**2 + 6 + 35.\nAnswer: 9*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*-1*39*(-14 + 15). Suppose -5*h + 4*t + 1439 = 0, -h - 2*t = -x - 12. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 221*n. Let b(r) = -230*r. Calculate 4*b(u) + 5*s(u).\nAnswer: 185*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1788 and (-24380)\/17808*4\/10?\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 110*r - 1333. Let j be s(12). Is 14 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 1703 = -94*z - 61*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 9*l + 11*l - 1 to v + m*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**3 + 19*z**2 - 7*z + 5. Let i(w) = -5*w**3 + 16*w**2 - 6*w + 4. Give 5*i(m) - 4*t(m).\nAnswer: -5*m**3 + 4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1602938758 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + y + 0*y - 324 = 0, -4*j + 2*y = -336. Is 7 a factor of -3 + 3 + j\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12473*t - 6631*t - 296 - 7755*t wrt t?\nAnswer: -1913","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -81. Suppose -17460 = i*r - 87428. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -385786, 4, 1 in descending order.\nAnswer: 4, 1, -385786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:29 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 112 - 82. Let a(i) be the first derivative of i - 11 - 1\/3*i**3 + 0*i**l. Factor a(c).\nAnswer: -(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*v + 888 + 1107 = -16*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/84 + 16\/(-48)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*f**2 + 249*f**2 + 275*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12039 - -18769. What are the prime factors of l?\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4.7.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479632 is divided by 1167?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 + 33 = -3*u, 0 = -4*u - 12. Suppose 2*t = -t + 12. Let w be (-2)\/(-3)*(-6)\/t. Sort w, b, 0 in decreasing order.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12851333 (base 9) in base 2?\nAnswer: -11000001110110010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3848\/(-3256))\/((-4)\/(-37 - 7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**4 + 17*u**2 + 124 with respect to u.\nAnswer: 8*u**3 + 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let k be y(2). Put -3, k, 8 in decreasing order.\nAnswer: 8, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12170 is divided by 472.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2.09999993. Round f to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.78+9881\nAnswer: 9898.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 16 = l. Solve -2*z - 3*m - 3 = 0, -2*z + 0*z = m + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 101 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.34 - 6.34. Put 0.2, g, -11, -2\/23 in increasing order.\nAnswer: -11, g, -2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/18*4*((-55)\/(-5))\/(-22)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = 6*w - 335. Let g(z) = 6*z**2 + 4*z. Give g(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-111)\/(-74) - 1\/(-2). Let v(p) = -2*p**3 + 24*p**2 + 24*p + 2. Let o(d) = -2*d**3 + d**2 + 2*d + 1. Let l(u) = a*o(u) - v(u). Solve l(n) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -44237.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 3 - c**3 + 1 - 2*c + 2*c**3. Let x be k(-2). What is the second derivative of -s - 5*s**4 - x*s + 2*s**4 wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jywwyyywwwwywwjw. Give prob of sequence wyjj.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:35 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 121 (b) 0 (c) 0.17 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1619236 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2*r + 0*r)*(-20 - 3 - 4) - 6*r + 2*r + 2*r - 2*r + 2*r - r + (-3 - 2*r + 3)*(5 + 1 - 5) + 0*r - r + 3*r as v*r + z and give v.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1\/((-2)\/(-6))*152\/12?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 15) to base 8\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3381\/(-15) + -4 + 66\/15. Calculate the smallest common multiple of 4\/3*w\/(-30)*5 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 8*f + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 7114712?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1337090 and 5970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 1 + 0*z + z)*(143174*z**2 - 143209*z**2 - 6*z + 308 + 3*z) as u + r*z**3 + s*z**2 + i*z and give r.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) -95 (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -27*i**3 - 4*i**2 - 2*i + 3. Let c be n(-2). Suppose -c = 3*g + 5*p - 928, -5*p = 2*g - 479. What is the greatest common factor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42828456 > -42828463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 195 = -2*f. Let j = -77 - f. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + -4 + 6. Solve 5*h + 4*t - 3 + 5 = 0, -12 = w*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 - 189. What is the remainder when 33 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 6. Let x be s(3). Suppose 3*n - 20 = 4*t, -x*n + 11 = 2*t - 15. Suppose 7*k = n*k. Solve k = -m + 3*g + 8, -4*g = 5*m - 3*g + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 232. Let c = z + 94.997278. Round c to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.11979 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 4*v - 7. Let k be c(-5). Let h(q) = q + 4. Let b be h(k). Find the third derivative of 3*m**b - 7*m**5 - 5*m**2 - 2*m + 2*m wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107352 and 9352?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 1279*h**2 + 133 - 1277*h**2 + 59 - 4*h**3 - h to i*h**2 + j*h + t + k*h**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - -10. Let s(j) = j**3 + 34*j**2 - 32*j + 115. Let o be s(-35). What is the highest common factor of o and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/4104*96*(-30)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 575*z + 1173. Give v(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350387539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017598015 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5.4*-1\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:39 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1787155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/5 + 16 + -1. Suppose 6*i + d = 22. Let x = -2 + 4. Solve 2*r = -x, -2*o + 3*o - 5*r - i = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22617229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12306304531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 2. Suppose 0 = 4*l - 4 - 0. Let g be o(l). Suppose 3*b + 5*t = 25, 4*b + t = 2*t - 5. Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 28 = -2*h, 5*w = -4*h + 68. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206*a = 578*a - 475*a - 1309. Let p be (-6)\/5 + 1\/5. Sort -3, p, a in ascending order.\nAnswer: -3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r + 39*r - 69*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 - 11*h**3)*(0 - 5 + 3) + 2*h**3 + 0*h**3 + 0*h**3.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0)**(-13)*(j\/(j**(2\/13)\/j))**(3\/2) assuming j is positive.\nAnswer: j**(-133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/72*6\/(-117))\/((-291)\/1746).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6807 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 59 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/6 + 2\/3. Let o = 25 + k. Suppose z - 5*c = -z + 11, -5*z + 4*c = -19. What is the greatest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 12 - 81)*(3*m**3 + 0*m**3 - 5*m**3) in the form c*m**2 + u*m**3 + v + l*m and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-20))\/((-1)\/(-4)). Put -49, 0, j in increasing order.\nAnswer: -49, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157672.\nAnswer: 2, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let w(z) = -2*z**2 + 44*z. Give w(s(g)).\nAnswer: -8*g**4 - 88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u*u**(-8)*u*u)\/(u**0\/(u\/(u\/(u\/(u\/((u*u*u*u\/u**(1\/8)*u)\/u*u)*u))*u))) assuming u is positive.\nAnswer: u**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 0*s + 10*s + s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 8*q - 3*q)*(-3 + 0 + 0)*(-10*q**3 - q**3 + 16*q**3) to j*q**2 + y + b*q + k*q**3 + d*q**4 and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a + b - 7, -a + 2*b + 11 = 0. Suppose -102 = -3*y + 3*n, -5*y + a*n - 3*n + 179 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from ypiccyzyyccpyryp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2 + 0*r + 7*r**2 + 0*r**3 - r**3 + r. Let v be t(7). Suppose p - 173 = -0*q - 3*q, v*q = p + 283. What is the greatest common divisor of 38 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3 + 3*c**2\/2 - 29*c - 4. Suppose f - 2*a = -4*a - 17, 6 = -2*f + 3*a. What are the prime factors of n(f)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7279.57mg in grams?\nAnswer: 7.27957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87951 and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 8*i**2 + 9*i + 2. Let h be q(-9). Suppose 4*y + 0*m = -4*m, -h*m - 5 = y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 15*o**2 - 16*o + 11. Let j be g(-16). Suppose -4*q = -3*u - j, -q + 4*q - 15 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3113.942l?\nAnswer: 3113942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 74375.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/12 (b) 0.5 (c) -1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101100001010111?\nAnswer: -101100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 3, -35, -105, -213, -365?\n\"Answer: -b**3 - 7*b**2 + 16*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*i + 2 = 0, -2*i = -2*f - i - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.01 + -0.01. Let t = 5 - f. Which is the second smallest value? (a) -1\/4 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 - 29*w**4 - 11*w**3 + 107*w**2 - 45*w - 18 = 0?\nAnswer: -6, -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 17060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4386\/301*651\/(-186).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -5*n + 3*d, -213 + 190 = -3*n - 4*d for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/51350 and 133\/7150.\nAnswer: 564850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4305947*-0.5\nAnswer: 0.21529735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -28893?\nAnswer: 28876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 0, g + 3*u - 30 = 5*g. Let t be ((-3)\/g)\/((-4)\/3). Which is the nearest to t? (a) 4 (b) 6\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645584 is divided by 1539.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 339. Let g = -65 + r. Let b = 152 - 144. Calculate the highest common factor of g and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1722\/(-35) + 6\/5 + -1. Let b = i + 49. Solve b*f - 7 = -x - 4*f, -4*x - f = -13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 8*t**2 + t + 1. Determine b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 195 = -1029. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1098 - 1097.999999426. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -1153, -2808, -5355, -8926, -13653, -19668, -27103?\nAnswer: -36090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 10600*q**4 + 42464*q**3 + 169600*q**2 - 678912*q = 0.\nAnswer: -5304, -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 2. Let x = -982 - -1040. Suppose x*i + 181 = 529. What is t(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4354700 to the nearest 10000.\nAnswer: -4350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -3*z + 0 - 1\/4*z**4 + 0*z**2 + 0*z**3. Let o(v) = 2*v. What is s(o(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oca when three letters picked without replacement from kaakkcoreere?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.1, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4 = 4*s - 2*s, -3*s = -3*p + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - -16 - (14 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 + 9 = -4*w, -7 = 2*r + w. Let j = 8 + r. Let i(k) = k**3 - k**2 - 2. Let s be i(2). Solve 0 = 3*y - 4*g + 3, s*g = j*y + g + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(684) - (sqrt(684) + 2 + sqrt(684)) - sqrt(684)))**2 + (sqrt(684) + sqrt(684) + 1*sqrt(684) + -3 - sqrt(684))**2.\nAnswer: -120*sqrt(19) + 5485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qqqqqqqqqzqqzqqqqz?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p + 11. Let y be t(11). Suppose -n - 60 = -5*q - 2*n, 0 = -5*n - 25. Calculate the greatest common factor of q and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - j + 1. Let u(k) = -2*k**2 - 4*k - 18. Let q(l) = 3*h(l) - u(l). What is the units digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5132\/149 - 24617\/745. What is s in -13\/5*s**2 + 0 + g*s + 6\/5*s**3 = 0?\nAnswer: 0, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -704, -2159, -4580, -7967?\n\"Answer: -483*w**2 - 6*w - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**36)\/d)\/d**(-39) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 6) in base 7?\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3\/7 (b) 0.4 (c) -0.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 36. What is the remainder when (12 + -8)*41\/a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*v + 8, 7*v + 2*q - 14 = 2*v. Let p(d) = 9*d**v - 18*d**2 + 7*d**2. Let r(m) be the second derivative of 2*m**3\/3 + m. Give r(p(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-15)\/(-394)) + (-92)\/138. Let d be m\/88 - (0 - 6\/4). Solve d = -2*a + 2*c - c - 4, 0 = -5*a - 2*c - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/70*(-14)\/(-72)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -43, -2356, -0.1, 5, 2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - 18aa6ab?\nAnswer: -18aa66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(4\/(-3)))\/((-2)\/4). Suppose 3*h - 3*l = 12, -4*h - 6 = -o*l - 20. Sort h, -7, -5 in increasing order.\nAnswer: -7, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065399 to 7 dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 6, 31.8.\nAnswer: 6, 31.8, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5064 by -16.\nAnswer: 633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x + 5. Let m be h(0). Suppose 0 = -s + m*j - 13, 0 = s - 4*s + j + 31. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 5*a - f, -4*a + 3*f + f = -644. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + 5*o - 4. Let a be z(-6). Let w be (21\/(-7))\/(9\/(-27)). What is the highest common factor of a and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5850621, 5850655, 5850689, 5850723, 5850757, 5850791?\n\"Answer: 34*r + 5850587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 * -0.4\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-8 - (9 + (18 - 32))) + -67?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19815656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469131?\nAnswer: 1469131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z**2. Let n(u) = u**2. What is q(n(o))?\nAnswer: -19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -3*d + 5*n + 9, 5*n - 5 = 0. Let h(g) = 18*g**d - 3 - 8*g**2 - 7*g**2 - 2*g**2 - 3*g. Let p(o) = 2*o + 2. What is 2*h(z) + 3*p(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497 and 14129.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162940825 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*a**3 + 2\/3*a + 0 - 1\/3*a**2 - 5\/3*a**4.\nAnswer: -a*(a + 1)**2*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453429 rounded to the nearest one thousand?\nAnswer: 453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 + 5*f**2 + 1 - 2*f**4 + f**3 + 0*f**4 - 7*f**2 as u*f + x*f**4 + o*f**3 + v + b*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -4. Suppose -5*c = -2*l - 0*c - 29, -4*c = -t. Let j be 5 - (-126)\/(-12) - l\/4. Are -32\/5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 54. Let s(j) = -4*j - 19. Let z be s(-6). Suppose 39 - 129 = -z*o. Calculate the greatest common factor of u and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 10*j + 6. Let f be z(6). Let n = -1 + f. Suppose -22*g + 18*g + 64 = 0. Calculate the remainder when n is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339802, 339753, 339700, 339643?\nAnswer: 339582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3. Let i(o) = 3*o**3 - 3 + o**2 - 2 - 2*o + 3. Let h(c) = -i(c) - 2*t(c). Calculate h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 + 3*j + 1. Let p be ((-4)\/12)\/((-1)\/(-9)). Let o be i(p). Which is smaller: -7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -1498, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/12 - 2*k**3\/3 + 23*k**2. Let h be n(-3). What is the tens digit of ((-2002)\/(-88))\/(h\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*i + 1046*i + 2566 = 24*i - 45696 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 22 = -3*j, -411*f + 439*f + 4*j - 31 = 31*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061960849 is divided by 873.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38c (base 13) to base 2\nAnswer: -1001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -19107 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 0.05. Let c = -32.97 - n. Let d = 33.2 + c. Which is smaller: d or 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(320)*2 + -1) + -5.\nAnswer: -10 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (4 - (-2 - -4)). Suppose -d - m = -3*d. Suppose f - 2*h = -18 + 75, -5*f = d*h - 285. Is 25 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 50, 49, 46, 41?\n\"Answer: -w**2 + 4*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1739802 divided by 15?\nAnswer: -579934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.45 - -0.35. Let d = m - -37.1. Let r = 33 - d. Put 2, r, -0.2, 5\/6 in ascending order.\nAnswer: -0.2, r, 5\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3246 divided by -2.\nAnswer: -1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -60*a**2 - 66. Let t(u) be the second derivative of u**4\/12 + u**2\/2 - 30*u. Let f(c) = -4*l(c) - 264*t(c). Let m(w) = -2*w**2. Determine f(m(q)).\nAnswer: -96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u = 46*u - s - 12, -3*s = -5*u - 49 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*m = 72, 0*m = 3*g + m - 84. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*p - 29*p + 71 - 104*p - 69 + 267*p.\nAnswer: 352*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*g + 529*g + 192*g + 1674*g.\nAnswer: 2562*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - -445254521?\nAnswer: 445255013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5096 is divided by 1267?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1372 + 2654. List the prime factors of g.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 2396, 9091, 22324, 44321, 77308?\n\"Answer: 371*b**3 - 70*b**2 - 4*b - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-9)*3)\/(2 + -3). What is the first derivative of 4*l**2 + 17*l**b + 8*l - 8*l + 5 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r + 5*r - 4*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041.371 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 65\/(-13) + -5 + 1\/4. Does o = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.97403 rounded to one decimal place?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1044\/(-4350)*(-3)\/(-9))\/((-4)\/(-40))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, q: 3}. What is prob of picking 1 q and 1 u?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 101*x**2 + 64*x - 521. What is the hundreds digit of c(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -351. Let s = -2221\/9 - m. Factor -2\/9*k**2 + 0*k - s*k**4 + 4\/9*k**3 + 0.\nAnswer: -2*k**2*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 2 o when four letters picked without replacement from moyyomsmim.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250728936637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/34140 + 6554719\/238980. Find j, given that -y*j - 36\/7 + 11\/7*j**3 + 5*j**2 = 0.\nAnswer: -6, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*c - 3*t, 3*t - 2*t = 5*c + 11. Let r = c - -7. Sort 3, -1, r.\nAnswer: -1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from zzhzhhliznhdlzznzihl?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5314, 10637, 15964, 21295, 26630, 31969, 37312?\nAnswer: 42659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d7aa (base 14) to base 4.\nAnswer: 123311222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21588, 21609, 21644, 21693, 21756, 21833?\nAnswer: 21924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 1. Let g(l) = l - 1. Let v(s) = -3*b(s) - 5*g(s). Let r(a) = -a - 2. Let f(d) = -3*r(d) - 2*v(d). Give f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b + 1. Suppose 4*f + f + 3*q = -150, -2 = f - 5*q. Let z = f + 26. Calculate p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**3 + 44 - 208*u**2 + 40 - 130 + 19*u**4 + 46 wrt u?\nAnswer: 456*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(1\/2)))\/x*x)**15*x**6\/x**(-2\/11)*(x*x*x*x*x*x**(-2\/7)*x)\/x**(-3\/5)*(x**5*x)\/x**4 assuming x is positive.\nAnswer: x**(5387\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00797854 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 55 = 51 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from aaunynnnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. Suppose -l - 3 + 6 = 0. Let w(p) = -8*p**l - 4*p**3 - 6 + 5*p**2 + 2*p + 19*p**3. Let g(k) = -8*k**3 - 6*k**2 - 2*k + 7. Give y*w(q) + 5*g(q).\nAnswer: 2*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a - 2*a)*(2*a**2 + 3*a**2 - 7*a**2) - 9*a**3 - 10*a**3 + 3*a**3 - a**3 - a**3 + 0*a**3 as n*a**2 + m*a**3 + x*a + d and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) 0.1262 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*o + 4 + (2 + 3 - 7)*(1 + o - 1))*(-2*o**3 + 2*o**3 - 2*o**3).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 373735977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/4)\/((-2)\/(-12)). Let p = 16 + -34. Let s = 17.8 + p. Is s != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x + 6188 = 127*x + 55*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2756)\/(-12) + (-2)\/3. Let p = -219 + b. Let f(u) = -u**2 + 9*u - 7. Determine f(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) -11\/6 (c) -3\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 3*i**6\/40 - i**5\/30 + i**4\/8 - i**3\/6 - 2*i**2. Let u = -163 - -164. Let c be q(u). Solve 3*r - 6*r = c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836030, -1671916, -2507802, -3343688, -4179574?\nAnswer: -5015460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 438478 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) 23 (c) 0.219 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -4 (b) 539 (c) -5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-5)\/10 - 0). Suppose -s*v - 3*v = -14. Suppose -v*j = 4*j. Solve u - i = 3, u + j*u - 3 = -5*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**3 - 4*y**2 + 4*y + 1. Let x(b) = 4*b**3 + b + 1. Let a(p) = l(p) - 2*x(p). Let i(c) = -13*c**3 + 13*c**2 - 7*c + 3. What is -7*a(z) - 2*i(z)?\nAnswer: -2*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19266.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*r = 148, -16752*r + 16746*r - 236 = -5*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**5\/4 + 4*i**4\/3 - 7*i**3\/3 + 159*i. What is the third derivative of x(r) wrt r?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 795 and 2?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 33. What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 3*z - 1193546 + 1193546 - 5*z.\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to -263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25969 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 14*r - 22. Let o be l(-10). Let v = o - 16. Suppose 45 + 85 = v*z. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.848 times 8.4025?\nAnswer: -32.33282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-3 - -1) + 145 + -151\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*i + 20. Solve 2*v + 4*k + i = -0*k, 27 = -3*v - 3*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 703.58369 and -377.\nAnswer: 326.58369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-286)\/(-65)*60\/132?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 3*l + 5*l + 2)*(-7 + 2 - 7).\nAnswer: -144*l - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 3}. What is prob of picking 2 j and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 + 19*l - 28. What is f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 40*x + 163 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -2 - ((7 - -9) + -17 + 12)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15366.1 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (8 - 20 - 22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 - 4689446*m**2 - 1938769*m wrt m?\nAnswer: -6*m - 9378892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665247538.\nAnswer: 2, 23, 31, 59, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295\/22 - 120\/11. Factor -5\/2*b**2 + 0*b + l*b**3 + 0.\nAnswer: 5*b**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose v = -2*i + 6, -2 = -4*t - 2*i - 0*i. Find the common denominator of t - (-75)\/2 - -2 and 26\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -66. Let i(v) = -3*v**3 - 2*v**2 + 4*v + 6. What is the units digit of i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 312573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*d + 379*d = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 69. Let s be z(-9). Let l = -11 + 16. Let v(q) = s*q + q + 2*q - l*q. Let a(p) = -5*p**2. Calculate v(a(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r + 1. Let z(d) be the first derivative of -11*d**2\/2 - 75. Determine 2*y(o) + 3*z(o).\nAnswer: -13*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026422407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-1184)*(-1 - -3). Let r = 134 - 134. Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1694 and 99.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -411.\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 9*n\/2 + 10.\nAnswer: -(n - 20)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2)*v*v*v**7*v)**(-2\/23)*(v**(-2\/11)\/((v**(-1\/4)\/v)\/v))\/(v\/(v\/((((v*v**2*v)\/v)\/v*v)\/v)))**30 assuming v is positive.\nAnswer: v**(-59771\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3219, -12823, -28821, -51207, -79975, -115119, -156633, -204511?\n\"Answer: x**3 - 3203*x**2 - 2*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 25 = -6*h - 43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**2 - 45*f**2 + 77*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.5 + 11312692638.\nAnswer: 11312692651.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-12)*6)\/((-39)\/13).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let q(w) = -3*w + 4. Suppose -34*m + 633 = 599. Give m*q(b) + 2*l(b).\nAnswer: -5*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 512652521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**5\/10 + c**4\/3 + c**3\/3 - 30*c + 5. Let t(f) be the first derivative of r(f). Let t(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 292 = -u + l, 0 = -2*u - l - 152. Let x = u + 117. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2358*k**3*p**3 + 2*k**3 + 179*k**2*p**2 - 10*k*p**2 + 299*p**3 + 35*p**2 + p wrt p.\nAnswer: -14148*k**3 + 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**2 + 11*l. Let j(t) = 5*t**2 - 6*t. Let w be (2\/(-4))\/((-1)\/(-52)). Let g = -15 - w. Give g*j(u) + 6*d(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y + y**2 - 5*y)*(504 + 118 + 238 + 553 + (-4 + 2 - 3)*(0 - 2 + 3)) to the form s + l*y**2 + t*y and give l.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2\/13)*2. Calculate the greatest common factor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:23 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) - (sqrt(3000) + sqrt(3000)*-4))\/sqrt(6).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 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: Suppose 3*n - 6*n - 18 = 0. Let l be (-6)\/n + 2 + 34. Let r = l + 352. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/28 - 2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -112.96. Let p = k - -0.04. Let g = 9 - 6. Which is the nearest to -0.1? (a) 2 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 608 and 9194328?\nAnswer: 36777312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0 - 6. Let d = 9 + -9. Let f(l) = 49*l**n + l**2 - 50*l**3 + 1 - l + d*l**2. What is f(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9201, -18867, -28533, -38199, -47865, -57531?\n\"Answer: -9666*n + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 239\/(-16) + (105 - 90)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-3 + 3 + 3*g)*(3*g**4 - 2*g**4 + 2*g**4).\nAnswer: 18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/3 - (-4)\/3. Let q(k) = -k - 5*k + y + 5*k. Give q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 77. Solve -j*x = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:05 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8071 + -1.2929. Which is the third smallest value? (a) 0.49 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)*m**(-2\/7) assuming m is positive.\nAnswer: m**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 2537 (b) -0.18 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000.971041 to the nearest integer.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -4369, -7566, -10789, -14038?\nAnswer: -17313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.004mm to micrometers.\nAnswer: 687004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*k - 2, -17 + 5 = -4*d + 2*k. Let m be (3 + (-3)\/(-6))*d. Let h = m + -5. Solve -5*g - 39 = -h*i - 18, 2*i + 4*g = -24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/426126 and 71\/14384.\nAnswer: 3409008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438 - 451. Let m = 0.2 - 0. What is the biggest value in m, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25387\/6 + -12686\/3. Factor 7 - h*w - 1\/2*w**2.\nAnswer: -(w - 2)*(w + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose -6*t + t + 33 = -r*j, 20 = 4*t. Suppose 2*h - 4 = 4*f, f - 1 = -4*h - 2. Sort -2, j, f in increasing order.\nAnswer: j, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3 = 4*z - 10, m = 3*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 6*y + 10. What is the units digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165872016 to the power of 1\/2, to the nearest integer?\nAnswer: 12879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -855144 (base 9) to base 2\nAnswer: -1111100010000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -10\/13, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1150 + 2739. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/78)\/(22\/1617). Let u = -557\/26 - m. What is the common denominator of 1\/3*(-273)\/(-6) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x - 14. Let h be f(6). Suppose j - h*j + 42945 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2157595 to the nearest 1000.\nAnswer: -2158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o**3 - 5 + 0*o**2 - 5*o + 0*o**4 - 4\/5*o**5. Find the first derivative of u(c) wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -37, -38, -39, -46, -65, -102?\n\"Answer: -n**3 + 9*n**2 - 27*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 - 179*m**2 + 140*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743467 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.54 + -0.54. Which is the closest to 1? (a) u (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907418 is divided by 368?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 2. Let a be q(0). What is the closest to -0.2 in -0.2, 1\/7, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 419, 636?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8 - 36. Let c(v) = -v**2 + 16*v + 14. What is the remainder when c(i) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/22 and (-982)\/1752 + (3\/(-5))\/(42\/(-35)).\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -9*p**2\/2 + 3*p - 4. Let u(o) = 14*o - 5. Suppose 3*l = 5*l - 16. Calculate l*q(b) + 5*u(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3202, -12860, -28936, -51400, -80222?\n\"Answer: 5*y**3 - 3239*y**2 + 24*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-2276)\/(-30) - (-6)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**3 + 4*p**3 + 0*p**3 + (-2*p**2 - 3 + 3)*(-1 + 1 - p))*(1 - 4 + p**2 - 2*p**2).\nAnswer: p**5 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*l = 2*l + 5, -4*f - l + 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k**3 - 68*k**2 - 48*k = 0.\nAnswer: -4, -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56950, -56952, -56954, -56956, -56958, -56960?\n\"Answer: -2*o - 56948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608591981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/3*(44 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - 4*c + 5. Suppose -3*n = -4*n - 4. Let f(o) = -o**2 - o + 1. Let r(i) = n*f(i) + p(i). Find the first derivative of r(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, 68826, -0.4, -2\/13, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -291*f**5 - 5040405*f**4 + 5145210*f**3 + 9977460*f**2 - 207864*f = 0. Calculate f.\nAnswer: -17322, -1, 0, 2\/97, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 + y**2 + y + 7. Give b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 6. Let o be j(0). Let b(m) = -m + 1. Let g be b(o). Differentiate 7*c**4 - 5 + g + 2 wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**3 - 156*n**2 - 51*n + 29. Let j(b) = -3*b**3 - 67*b**2 - 25*b + 14. Let q(x) = -9*j(x) + 4*m(x). Calculate q(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(0 - 10 + 6 - 2*q).\nAnswer: 4*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:05 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 936157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13516 (base 7) in base 9?\nAnswer: -5047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318317, -318422, -318525, -318626, -318725?\nAnswer: -318822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/11 (b) 38 (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7252.263 + 7262. Let z = s + 0.213. Let d = 0.55 - z. Round d to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3287 - 3389. Which is smaller: -109 or v?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141216551?\nAnswer: 3, 19, 83, 80407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -357. What is the nearest to f in 2\/13, -5, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21643 (base 14) in base 11?\nAnswer: 55795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -14 (b) 0.02 (c) 14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/11)\/((y*(y\/(y**3\/y*y)*y)\/y*y)\/y)*(y\/((y**1*y)\/y)*y)**(1\/3) assuming y is positive.\nAnswer: y**(41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*b = -7, 2*b = -7 + 1. What is the third derivative of d**5 - d**p + 4*d**2 - d**6 + 4*d**6 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 4*t - 222*a + 1232 = 66*a, t + 3*a + 28 = -t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 9*b + 5*k = -2, b - 7 = -5*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 5}. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -18, 4, 3, -19 in ascending order.\nAnswer: -19, -18, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4420540984.9999969 - 4420541349. Let g = k - -364. Round g to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/12 + 23*a**3\/6 - a**2 - 2*a - 41. Is l(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(44)\/sqrt(4) - sqrt(11) - sqrt(11) - (2*sqrt(11) + 2))**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123096 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: Collect the terms in -247881*u - u**2 - 247870*u + 743629*u + u**2 - 247878*u + 0*u**2 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 13*z = 350. Suppose -p + z = -3*t, -2*t - 16 - 295 = -5*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 54. Let p be v(-12). Solve -14 = 5*k - 3*b, 0*k - 5*k - 5*b = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261693661 to the nearest integer?\nAnswer: 35520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 248*l + 1249 = -938. Solve -470 + 524 = -l*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.3536ns in milliseconds?\nAnswer: 0.0005383536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.121 from 3.\nAnswer: 3.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/15 (c) 6\/7 (d) -10416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3762.275l to millilitres.\nAnswer: 3762275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -6*b + 2716. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*z + 6 + 4, -z + 4*r + 23 = 0. Suppose -226 = 4*j - g, -z*j - 97 = 4*g + 63. Let w = 93 + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - 18 - (-10 + 1). Which is smaller: m or 6\/397?\nAnswer: 6\/397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1644, 2193, 3106, 4383?\n\"Answer: 182*i**2 + 3*i + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -9503263798.536?\nAnswer: -9503263799.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:36 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**5\/7 - 984*a**4\/7 - 23080*a**3\/7 + 170544*a**2\/7 + 942372*a\/7 + 749736\/7 = 0.\nAnswer: -26, -3, -1, 9, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*h - 6 - 10, -2*z + 2 = 0. Suppose 2*r + 32 = 2*m, 0 = -4*m + m + h*r + 40. What is the remainder when m is divided by 3\/((-2)\/2) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*-8*(-155)\/62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43690607 is divided by 936.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w - 77*w + 49*w = 184. Put -5, -2, 6, -9, w in ascending order.\nAnswer: -9, -5, -2, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 20. Find the second derivative of z*o**2 - 30*o**2 - 39*o**2 - 5*o wrt o.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*r + 354 = 0, 2*h - 354 = 2*r - 12. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-42)*-15*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -789746 divided by 2.\nAnswer: -394873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -29 + (-2)\/1 + -2. Let i = c - -100\/3. Let j = 0.004 - 9.004. Is j bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301 (base 4) to base 10.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2. Let i(c) = 39*c**2 - 79*c**2 + 39*c**2. Let l(n) = -3*i(n) - k(n). Let p(m) = 20*m - 3. Calculate p(l(j)).\nAnswer: -60*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -12, 0.2, 1045369?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.54727 + -7.54. Round o to four dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 218448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:48 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 3. Let u(d) be the third derivative of -d**5\/60 + 3*d**2 - 3*d. Calculate u(g(l)).\nAnswer: -36*l**4 + 36*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 38. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z - 10. Let t(l) = -12*l + 9. Determine 3*t(q) + 4*w(q).\nAnswer: 4*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 5. Let t be v(5). Let l = 3.4647 + 3.5353. What is the closest to 1 in t, l, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(20)\/(1*sqrt(4)*4) - (-2 + -2*sqrt(5)*-2))))**2.\nAnswer: 135*sqrt(5) + 10701\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12931081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -633437 - -1475?\nAnswer: -631742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/9 - 6534*s**2 = 0.\nAnswer: 0, 29403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2407 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {e: 1, o: 1, x: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401\/(-11) + (1481 - 1493)*(-2)\/(-44)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13486 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 29*i - 2. Let g be r(-6). What is the common denominator of 1462\/g + (-14)\/(-77) and 69\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 58 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2514\/17 - -58931\/68. Suppose -y + 2*u - 728 = 0, 2*u + 1305 = -2*y - 139. Let m = y + x. What is the common denominator of -151\/12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggyr when four letters picked without replacement from ggggzyyggggsgrzggg.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdj when three letters picked without replacement from {j: 2, m: 3, d: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.54 less than 21?\nAnswer: 130.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -128, -344, -656, -1070?\n\"Answer: -f**3 - 39*f**2 - 2*f + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 10*s - 6. Let w be 7 + 5 + -3 + -4. Let o be u(w). Let g = o + 2. Which is the third biggest value? (a) g (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 154a112 - 55?\nAnswer: 154a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420)*2*2)\/sqrt(12))\/((sqrt(180) - sqrt(180)*-1)*6) + 1)**2.\nAnswer: sqrt(7)\/9 + 331\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 221. Suppose 36*u = o*q + 37*u - 24, -3*q = -4*u - 19. Solve 0 = 7*s - q*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 19*m**2 + 9*m - 184. Calculate k(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 4\/3*i**4 - 2*i**3 + 29\/3*i + 1\/3*i**5 + 16\/3*i**2.\nAnswer: (i - 4)*(i - 3)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 + 264. Suppose p - 3951 = 4*a, 13*p + 3*a = v*p + 11823. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 936 * -27.67.\nAnswer: -25899.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*(-39 + 29)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85, 282, 593, 1018, 1557, 2210?\n\"Answer: 57*f**2 + 26*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.286 - 49684617?\nAnswer: -49684438.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus 2.9093?\nAnswer: 4.3093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5043.3 + 5043. Let i = -1.4 + -0.6. Let r be 2\/10 + (-2)\/110. Sort m, i, r in decreasing order.\nAnswer: r, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = s - h, -1300*s = -1298*s + 4*h - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -26.53\nAnswer: -663.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/23 (b) -0.3 (c) -2\/3 (d) 2 (e) 14.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2145130 by -65.\nAnswer: -33002","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 3*z + 5. Let v be y(5). Suppose 0*q = -v*q + 795. What is the third biggest value in 2, q, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x - 6. Let b = -336 - -338. Let n be b + -3 + (39\/3 - 3). What is the greatest common factor of x and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3410 = 2*l + 4*r, -3*l - 2*r + 5110 = 3*r. Suppose 30*n - l = 25*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - s + 0*s. Let o(i) = 410*i - 410*i + 2*i**2. What is b(o(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -1.3. Let m = -1.4 - v. Let c be (2\/((-16)\/6))\/(-3). What is the closest to c in 4, 5\/6, m?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4689 by -133.\nAnswer: 4689\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16483 + 30866. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10150 take away -0.3?\nAnswer: 10150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 2, k: 7, j: 5, c: 2}. Give prob of picking 2 c and 1 j.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/208 and 15\/364?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -5*w - 350. List the prime factors of (w + 1)\/(-3)*1694\/28.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*b = -3, 3*f + 22 = -f + 5*b. Let l be f*(-2)\/(-3) - -353. Suppose 460 = 4*j + 2*w, -4*j - w = -l - 109. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -660*k + 49996. Give d(74).\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87592725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 452?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -5112?\nAnswer: 1533.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/35850 and -19.\nAnswer: 35850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1816.26078 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 45575*n**2 - 52693*n**2 - n + n in the form r*n + u + y*n**2 and give y.\nAnswer: -7118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -10\/3*o**3 + 0 - 1\/12*o**4 - 50*o**2 + 7*o. Factor c(d).\nAnswer: -(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455 - 362. Let i = 105 - c. Suppose r - 5 = 31. Calculate the least common multiple of r and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/((-20)\/((-520)\/(-39))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfcmwcu. Give prob of picking 1 f, 1 b, 1 c, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107\/5? (a) 0.097 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 22*k**2 + 189*k + 89. Give v(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/304832 and 19\/266728?\nAnswer: 2133824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1236, -1249, -1262, -1275, -1288?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -416, -1483, -3198, -5561, -8572, -12231?\n\"Answer: -324*s**2 - 95*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -5 + -4 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*z = 625*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p - 3 - 2\/3*p**3 - 2*p**2. Factor l(g).\nAnswer: -2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1339)\/35)\/(-13) - 3\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*v - 78. Let b = v - -23. Factor -5*g**2 - 41*g**3 + b*g**2 + 3*g**2 - 15*g**3 + 98*g**4.\nAnswer: 2*g**2*(7*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8084*t - 3587*t + 6131*t)*(4*t + 0*t - 6*t + 1).\nAnswer: -21256*t**2 + 10628*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 452*g**2\/7 + 5205*g.\nAnswer: g*(g + 105)*(g + 347)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-76) - 385\/(-133). Let i(f) = -6*f + 3. Calculate i(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2*10)\/(1751\/(-206)). What is the fourth biggest value in 5, g, 1\/5, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:40 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.098.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 259 - 224 = 4*f, 0 = -4*f - 12*l + 8*l + 56 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 - 82*d**4 - 67*d**2 - 2 wrt d?\nAnswer: -120*d**3 - 1968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 837.3385 millennia in years?\nAnswer: 837338.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4\/2931 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 50. Let g(h) be the third derivative of 0*h + 0 + 0*h**3 + 1\/40*h**6 + u*h**4 - h**2 - 1\/30*h**5. What is the third derivative of g(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32710094 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*j - 1, 9*o + 10 = 4*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let q(g) = -9059*g - 26. Let k(c) = -4540*c - 12. Let d(p) = -13*k(p) + 6*q(p). Give o(d(t)).\nAnswer: -43543112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/280 + a**6\/160 - 3*a**5\/80 - a**4\/32 + a**3\/4 + 9836*a**2. Factor j(h).\nAnswer: 3*(h - 1)**2*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-976)\/31)\/8 - 2\/31. Put 6, -1, g in increasing order.\nAnswer: g, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 17, -51, 3\/7, 1, 1\/5, 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*j - 18, 0 = -4*u + 52*j - 50*j + 6. Is u at most as big as 6\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10180 = 5*t, t + 4*j = 2933 - 882. List the prime factors of t.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 33*z - 26 - 30*z + 37*z. Let n be m(-7). Is (42\/(-4))\/(17\/n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1. Let j(y) be the second derivative of -4*y**3\/3 + 13*y**2\/2 - 4*y. Let f(o) = -4*a(o) - j(o). Differentiate f(v) with respect to v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 7*h + h - 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 13. Let a be p(-6). Let y(j) = j**3 - 4*j**2 + 4*j. Let t be y(3). Let m(d) = -7*d**2 + d**2 - 3*d - 3*d**3 - 2*d + 2*d**t. What is m(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 12. Let z = 11 + y. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgoywho. Give prob of sequence hvg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21816 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 70152?\nAnswer: 70152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1140\/19)\/(92\/(-24) - -4) and 162.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, d: 5}. What is prob of picking 1 d and 1 y?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -167, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 1, p: 1}. What is prob of picking 1 m, 1 u, and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1886 and 2516660.\nAnswer: 103183060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1840.6.\nAnswer: -7362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700, -722, -744, -766, -788?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4063339 times 5\nAnswer: -20316695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 28*f - 5*f = 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -389 + 390. Let y(d) = -2*d**3 + d**2 - 4*d + 4. Calculate y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 126?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24 - (-11 + 26 + -67). What is the nearest to -1 in -1, 2\/9, g, 0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3857*v**2\/2 + 22315*v\/4 - 21 = 0. Calculate v.\nAnswer: -84\/29, 1\/266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.03 - -0.03. Let c = 125 - 73. Let a = c + o. Sort a, -1, 2, -1\/5 in increasing order.\nAnswer: a, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4456 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 958\/68 - (5049 - 5035)\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6 + 5*n + 3 + 0.\nAnswer: 5*n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 2:14 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w**7*w)\/w))\/w**(3\/7)*w\/(w\/w**(1\/3))*(w\/(w*w\/(w*((w*w*w\/(w**(-2\/9)*w))\/w)\/w)))\/w assuming w is positive.\nAnswer: w**(-370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2. Let j(u) = -u**2 - 1. Determine j(s(l)).\nAnswer: -36*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**4 + 18*p - 1 - 51*p**2 + 30*p**3 + 17*p**3 + 1 - 5*p**3.\nAnswer: -3*p*(p - 3)*(p - 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*f - 8 = 0, 5*b = 6*b - 2*f - 12. Let n = -2564\/2145 - 2\/429. Sort -0.1, n, -2, b in decreasing order.\nAnswer: b, -0.1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371.9 + -372. Let h be 12\/(-10) - -1*1. Let b = -350 + 355. What is the biggest value in h, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32797 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18549 and 824400.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 10 = -8*l + 4*n, 5*l = -0*l + 4*n + 67 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(19) + 3 - (sqrt(38)\/sqrt(2) + -1 - sqrt(304)*-5))**2.\nAnswer: -240*sqrt(19) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 0*l + 5*l - 3 + (1 - 2 + 2)*(3*l - 2*l - 2*l) - 1 + 1 + 2*l + (2 + 4 - 5)*(-14*l + 5*l - 4*l) as t + a*l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*z - 15, 254*z - 5*w + 3 = 253*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqqq when four letters picked without replacement from {n: 1, t: 1, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*x, 2 = -5*j + 4*x + 30. Let b = -85 + 70. Let y be (-5)\/b + 1 + 3\/(-9). Solve -4*t - j*k + 40 = t, 0 = -4*t + 3*k + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 + 0*t**3 - 5*t**3 - 7*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 271557?\nAnswer: -814671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3759*j = 152262 + 31929 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 + 646. Calculate the highest common divisor of 98 and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161 and -2?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l**2 + 3 + 12*l**2 - 7*l**2 - 3*l - 4*l**2. Let b(t) = -5*t**2 - 2*t + 2. Let w be (-4)\/(-14) - (-33)\/7. What is w*b(h) - 3*r(h)?\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 66140965556*g + 66140965582*g - 4.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxf when three letters picked without replacement from xffxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1031.\nAnswer: -515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2.8, -0.53 in descending order.\nAnswer: 2.8, 1\/6, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2166, 4328, 6490, 8652?\nAnswer: 10814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 19. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 15*k - 9 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12942 (base 12) to base 5.\nAnswer: 1304123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**3 + 6*h**3 - 12*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51167\/6 + -8507. Find the common denominator of m and -67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, -864, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7387.\nAnswer: 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -915 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -4, -18, 2, 0, -13 in decreasing order.\nAnswer: 69, 2, 0, -4, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 74.00145. Round v to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:26 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/254 and -33\/208.\nAnswer: 26416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/13 + 183772*d**2\/13 + 918922*d\/13 - 1102692\/13 = 0.\nAnswer: -6, 1, 91891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**24*(m**(3\/5))**(17\/3))**9 assuming m is positive.\nAnswer: m**(-2007\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*p - 828*p - 596 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/16)\/(0 - (-4)\/(-16)). Solve 5*u + 2*c = 5, u - c + 1 = -m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6841.33 litres?\nAnswer: 6841330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27 - 15) + 297\/(-22))*208\/(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1153, -4.\nAnswer: -1153, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 12. Solve -5*u = -10, 2*u = 4*j + n*u + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxppxxpppxpppppppxpp. What is prob of picking 3 x?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 393*x - 393*x - 73*x**3 + (-x + 0*x - x)*(x**2 - 4*x**2 + 2*x**2) in the form b + s*x + f*x**3 + g*x**2 and give f.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/7 + 101923*h**2\/7 + 2593248151*h\/7 - 195067350075\/7 = 0. Calculate h.\nAnswer: -50999, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 15*i - 17. Let f be s(13). Let t = f - -53. Let g be 2\/(-4)*(t + -10). Is -2\/65 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 43, 101, 207, 379?\n\"Answer: 3*d**3 - 3*d**2 + 16*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -195.3 (b) -0.5 (c) 0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = n + 23. Let l be (1\/(1 + -3))\/(n - -5). Let s(f) = f**2 + f + 1. Let p be s(-1). What is the closest to l in p, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8667835 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/9*((-16)\/(-392))\/(2\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -669\/130 + 53\/10. Which is the biggest value? (a) l (b) 5 (c) -1 (d) -184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.72 - 1.82. What is the biggest value in 2\/15, -4, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 + o**4\/12 + 5*o**3\/6 + o**2 + 31*o. Let c be a(0). Solve -q + 10 = c*l, q = 6*q - 2*l + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fe412b - -1?\nAnswer: -1fe412a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + 32\/(32\/15). What is w in 3\/4*w**2 + 3 + l*w = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1519 and 70756?\nAnswer: 2193436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 6975*g**2 + 177630*g + 184600.\nAnswer: -5*(g - 26)*(g + 1)*(g + 1420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/40*(-10)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86947 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let i(y) = -613*y**2. Give i(o(a)).\nAnswer: -613*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2 - 4 - 2 - a. Let i(d) = -2*d - 9 + 4*d - 3*d. Let n(w) = w**2 + 19*w - 209. Let g be n(-27). Determine g*x(p) - 6*i(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 5 - 5. Suppose 4*q + 2*j + 4 = -j, 12 = -3*j. Let b(y) = -y + y - 2*y**2 + 3*y**q. Give b(g(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45330 and 666?\nAnswer: 5031630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 5. Let t be k\/(-4)*2\/6. What is the third biggest value in t, 5, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212 (base 5) in base 2?\nAnswer: 110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 3124398292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 160 - 32. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14438.142 months?\nAnswer: 12.031785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3195201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -611 - -12?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -41*t**2 + 4*t - 2. Let g(z) = z**2 - z + 1. What is -2*g(y) - j(y)?\nAnswer: 39*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.4 - 40. Let w = q - 6.4. Put 3, 1\/4, w in decreasing order.\nAnswer: 3, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 740*x - 10849. Determine w(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/7 - 74728*z\/7 + 672633\/7 = 0. Calculate z.\nAnswer: -74737, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3462690 (base 10) to base 3.\nAnswer: -20111220220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + s = -109, -5*s + 26 = -5*r - 79. Let t = r + 38. Solve 24 = 5*o + a, -a + t = -2*o + 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1242 by -138.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8581 * -0.3\nAnswer: -2574.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18*o**2 - 11. Let u(h) = 19*h**2 + h + 13. Give -6*f(m) - 5*u(m).\nAnswer: 13*m**2 - 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1708*t - 610. What are the prime factors of f(17)?\nAnswer: 2, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/9 in 4, -1, -23\/6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -28, -60?\n\"Answer: -32*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -41055799 - -0.5\nAnswer: -41055798.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*g**2 - 27*g + 6*g**3 + 46*g**2 + 27*g - 2*g**6 wrt g.\nAnswer: -240*g**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026233 rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m + 3709*m - 160148 = -4227*m + 246679 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 3)\/(-3) + 8\/3. Let i(w) = -w**2 - w - 5. Let h be i(0). Which is the second biggest value? (a) h (b) p (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/232*(-32)\/(-104)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 17*t + 8. Let w be f(-8). Suppose -2*m + 166 - 46 = w. What is the first derivative of 37*o**2 + 41*o**2 - m*o**2 + 12 wrt o?\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27) + sqrt(27) + -2)*1.\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2)*y*y*y**(-6\/7)*y*y*y)\/(y\/y**(-1))**(-41)*(y**(-1)\/y)**(-2\/57)\/((y\/(y\/(y\/y**(-2\/7))))\/(y**(2\/15)*y)) assuming y is positive.\nAnswer: y**(177676\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15077 - 15073. Solve 0 = w*p - 57 + 57 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11*y = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/648 and -7\/30.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:44 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 26*z**2 + 13. Calculate o(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -1\/5, 1\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -18\/1811?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/7 (b) -3 (c) 0 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 6*p - 1. Give b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5381*y**3 + 8 - 5*y - 5379*y**3 - 12 as g*y + n*y**3 + p*y**2 + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2019*f**3*n**3 + 285*f**3*n**2 + 2*f**2*n**2 - 165*f**2*n + 229*f*n**3 - 285*f*n**2 - 5*n**3 wrt n.\nAnswer: -12114*f**3 + 1374*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvppvppvpvv. Give prob of picking 1 v and 2 p.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 9*n**2 + n**2 + 10*n**2 to the form j + q*n**3 + r*n**2 + u*n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -246300.5 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 - 5*s - 1. Let a be h(-7). Let x = 26 + a. Calculate the lowest common multiple of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.2, -4, 606, 0.03, 26, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 119768.5153 to the nearest one hundred.\nAnswer: 119800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/6, 27\/20, 5 in decreasing order.\nAnswer: 5, 27\/20, -29\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1078*o + 127. Let m(d) = 1077*d - 102. What is 4*g(l) + 5*m(l)?\nAnswer: 1073*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 - 2 - 6*l + 6*l + 3*l**2 + l**4 + 4*l**3 to p*l**4 + m*l**2 + n*l + v*l**3 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 225. Let b(u) = 19187 + u - 19187. Give s(b(p)).\nAnswer: p + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h*h**(-5)*h**(-2\/7)\/h*h*h*h**(2\/5)*h)\/(((h**(-5)\/h)\/h*h*h**(2\/11))\/((h**(-4)*h)\/(h\/h**(-2)))) assuming h is positive.\nAnswer: h**(-3106\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let n(o) be the second derivative of -o + 3\/2*o**2 + 0 + 1\/3*o**3. Give n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-3 - (-4 - 16)). Let r be t\/(-4)*4*7\/(-7). Calculate the greatest common divisor of r and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2418 + 2415. Is 33 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13860*b + 13856*b = -8*w - 24, 4*w + 14 = b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2115820 by -24892.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:30 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*n + 675501*k**2 - k - 5073*n + 16 wrt k?\nAnswer: 4*n + 1351002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let i(c) = c**2 - 4*c + 1. Suppose 4*y = 2*x - 42, -2*x = -2*y - 26 + 2. Let l be (2\/(-3))\/((-3)\/y). Calculate l*f(m) - i(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 0.2, 8\/3, 1.3 in ascending order.\nAnswer: 0.2, 1.3, 8\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2770604484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 117?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -64, 834, 3174, 7580, 14676, 25086, 39434?\nAnswer: 58344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(242) + sqrt(242))*6*-1 + -2 + (sqrt(2)*2 + -3 - ((sqrt(50) - (-2 + sqrt(50))) + sqrt(2))))**2.\nAnswer: 8122*sqrt(2) + 35283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -300.696793 to zero dps.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4608*v - 356021. Calculate h(-76).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8011622 milligrams in grams?\nAnswer: 0.0008011622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362*q + 8033 - 3588 = 1617*q - 13915 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 83*j**2 - 42*j**2 - 41*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738 + 237 + 6*r**3 - 1019.\nAnswer: 6*r**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:30 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749999901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-160)\/(-64)*(-1)\/(-15)*-6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.005 and -0.039?\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100 - 35*q + 47 + 54 + (2 - 1 - 5)*(9 - q - 9) to a + v*q and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22519168?\nAnswer: 2, 7, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/88 and -57\/954415?\nAnswer: 7635320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**8\/2520 + b**6\/270 - b**4\/36 + b**3\/6 - 5*b. Let t(u) be the second derivative of y(u). Let t(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/10 + f**2\/2 + 8*f. Differentiate p(t) wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 4*s. Let q(b) = 4*b**3 + 3*b - 1. Calculate 2*m(k) - 3*q(k).\nAnswer: -2*k**3 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 391a - -3?\nAnswer: 391d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/5*12\/(-216)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.227 - -0.017. Let g = 10.21 + l. Let o = g - 14. Which is the nearest to o? (a) -4 (b) 1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-49 - -35) + (6 + 224\/(-22) - -1))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/1)\/((6\/15)\/2). Let w = i - -190. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 3093168738?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r**4 - 2900*r**3 - 42196*r**2 - 35740*r + 3600 = 0. Calculate r.\nAnswer: -45, -20, -1, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2623*q - 60. Let d(g) = -2622*g - 48. Determine -5*d(l) + 4*t(l).\nAnswer: 2618*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-229655)\/(-46) - (1 - (-4)\/8)?\nAnswer: 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**2. Let l(b) = 5*b**2. What is s(l(x))?\nAnswer: -250*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*j + 7, 5*y - 2*y = -j + 2. Which is smaller: 2\/71 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 10:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + ba8529?\nAnswer: ba850a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.6 (b) 2 (c) -17\/6 (d) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*63\/(-189).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*s - 48*s + 1034 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*o**2 - 1 - 649*o**2 + 1418*o + 2103*o as c*o + k + p*o**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 14. Let a(l) = -3*l - 3. What is the remainder when a(-6) is divided by x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:03 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 405*n**5 + 180*n**4 - 385*n**3 - 180*n**2 - 20*n = 0. What is n?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) - (-61)\/(-16) - (-88 + 84)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1215065 - 685258. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 20*u - 48. Solve d + 2*o - u = 2*d, -3*d - o + 19 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, -0.3, 3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15115347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.02 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 3, k: 3, f: 2, d: 1, n: 1}. Give prob of sequence dni.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05964 + -612.84036. Let k = 582 + l. Let g = k + 31. Is g equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6 - -324c?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216160 and 64?\nAnswer: 432320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000166021322 to seven dps.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 7799955?\nAnswer: -7799958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + i + 0*i + i)*(-14 - 7 - 14).\nAnswer: -70*i + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -2\/15 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - y, 0 = 3*v - 14*y + 9*y + 8. Let l(q) be the first derivative of -v + 1\/2*q**4 + q**2 + 0*q + 4\/3*q**3. Solve l(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3412, 0.1, -0.1, -1\/5, 0.4, 0, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = 3*a. Let i = -3 - a. Solve 0 = -i*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 0 + 25 + -2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let o = 0 + -1. Let x be u(o). Is (-156)\/(-7) + x\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {q: 2, s: 2, n: 2, g: 3, z: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2\/3) + (-273)\/9. Let g be -1*(j\/(-4) + -2)*2. Put g, 5, -1 in descending order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2156404 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msq when three letters picked without replacement from fmqfttmqutsmsmu.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 4 = 0. Find the common denominator of n\/9 + (-1551)\/54 and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.044 - -0.356. Sort -1\/35, 0.5, s, -5 in descending order.\nAnswer: 0.5, s, -1\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0.08. Suppose -5*m = 3*g - 5, 4*m = -2*g - g + 4. Let q = m + -2. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbppmm. What is prob of sequence pb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5\/5 - b**4 - 2*b**3\/3 - 4. Factor a(t).\nAnswer: -2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 21 = -2*z. Let i(d) = d**3 - 4*d**2 + 3*d - 1. Let g be i(4). Let y = g + z. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1358772 and 1132310.\nAnswer: 6793860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 285*t. Let b(c) = -2*c - 12. Let v(g) = g + 7. Let w(k) = -4*b(k) - 7*v(k). Give w(x(l)).\nAnswer: 285*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 9*x - 3*b + 21 = 0, x = -b + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 0.5. Let f = 4.981 - -0.019. Which is the nearest to -1? (a) f (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*36\/(-2)*112\/560?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-159038\nAnswer: -15903.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11353469 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (16 - (-2 - 5) - -2) + (-9 - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**1\/l)*l\/((l*(l\/(l*l**6\/l)*l)\/l)\/l))\/(l*l*l**5*l**(-3\/8)) assuming l is positive.\nAnswer: l**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 0.3047499 hours?\nAnswer: 0.0018139875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/7 - 458627380*s**2\/7 + 13146192334667712*s\/7 - 13146191876040336\/7 = 0. What is s?\nAnswer: 1, 57328422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (26 - (-12)\/(-3)). Let g = z - -9. Let p = 29 - g. Solve -u = -p + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Let r(u) = 10*u - 41. Let s(v) = -v**2 + 5*v + 19. Let x be s(7). Let w be r(x). Solve -3*p = q + 5, -w = q - c*p - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/((-60)\/21))\/(3\/(-12)) + -5. Solve -3*y - 2*m = -4, 4*m - 5*m - 12 = -z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -30. Let q be 1\/d - (-2)\/8. Solve -3*c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p + 12697. Let f(n) = 4*n + 4231. Determine 7*f(r) - 2*x(r).\nAnswer: 2*r + 4223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(5) - (sqrt(5) - sqrt(125)*-2)) + sqrt(5)) + 5 + sqrt(72)*-1 + sqrt(72))*6.\nAnswer: -2*sqrt(2)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 16.93. Let b = -0.37 + h. Put b, 1, -2\/17 in descending order.\nAnswer: 1, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 95. Suppose -5*d + 4*p = p - k, 8 = 4*d + 4*p. Let l be 9\/(d\/9*6 + -3). What is the highest common divisor of l and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/147 - 2*o**6\/105 + 13*o**5\/70 - 17*o**4\/42 + 8*o**3\/21 + 8*o**2 - 2. Let a(c) = 0. What is c?\nAnswer: -4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.753309mg to micrograms.\nAnswer: 753.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**3*y**2*z**2 - 6285738*v**3*z**2 + 3*v**2*y**2*z**2 - 19*v**2 + v*y**2*z**2 + 89*v*z**2 + 2*y**2*z - 2*z**2 wrt v?\nAnswer: -6*y**2*z**2 - 37714428*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j, 10 + 10 = 188*z - 186*z + 5*j. Let l = -3 + 7. Suppose -r - l*r = 0. Solve -2*p = -r*p - z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**4 - 2*q**4 + 6*q**4 + (-5*q**2 + 3*q**2 - 5*q**2)*(-2*q**2 + 4*q**2 - 4*q**2) + (-q**2 + 7*q**2 - 3*q**2)*(-6*q**2 - 2*q**2 + q**2).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*(p\/(p*p**3))\/p))\/(p*p**1))\/(p**(-3\/7)*p**(2\/3)))\/(p**(-1)*p*p\/p**(2\/7))**(1\/49) assuming p is positive.\nAnswer: p**(769\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*b - 18, 0 = -2*x + 2*b + 22 + 18. Let d = -67671 + 67843. What is the remainder when d is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98160507 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1808073020 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3702 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1161*q**2*r**2 - 660*q**2*r + 2*q**2 - 176*q*r**2 + 1419*r**2 wrt q.\nAnswer: 2322*r**2 - 1320*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x + 135. Let s be p(10). Solve -3*j = 11 - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338.819 rounded to the nearest 10?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + h + 11*h**2 - 4*h**2. Let n(x) = -x**3 + 6*x**2 - 3*x - 3. Let y be n(3). Let r(s) = y*s**2 - 9*s - 90 + 49 + 41. What is 9*f(b) - 4*r(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3385989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5271 * -2.\nAnswer: -10542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/(-2))\/(1\/34*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 - 6. Let i be g(-7). Let v be (i\/(-18) - 4) + -2. What is the biggest value in v, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 180753*b + 16087006. What is a(-89)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4 + 4)*(41*c**2 - 2 + 37*c**2 - 44*c - 77*c**2)*(-5 + 2 - 3).\nAnswer: 12*c**3 - 528*c**2 - 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 176*o**3 + 275*o**3 + 539*o**3 - 6 - 52*o**3.\nAnswer: 938*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7397 - -358.5362\nAnswer: -7038.4638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyn when three letters picked without replacement from nybgddney.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -52.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -50*j**3 + 1949*j**2 + 39*j - 2. Give c(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 - 2 = 0, 5*c = 5*r + 15. Suppose 3*y - 5 = 4. Let l(n) = -4*n**3 - n**2 + 4 + 3*n**y - 2*n - 4*n**2. Give l(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33e2ab (base 15) to base 12\nAnswer: 9b5b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.840456 rounded to 3 dps?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 4, 94555 in ascending order.\nAnswer: 1, 4, 14, 94555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11380658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/19*d**2 + 0 - 6\/19*d = 0. Calculate d.\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 0. Let n = b - -3. Suppose u - 2*u + 5*t = -n, u - 3*t = 5. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/4 - 217*v**2\/4 + 335*v\/2 + 550 = 0.\nAnswer: -220, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.18 - -511.82. Let k = o + -518.0696. Round k to three dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 - 1535 = -5*m. Let h = -171 + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 88*y + 649. What is the remainder when s(8) is divided by 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Suppose x*r = 3*r + 16. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 4*s - 3. Let p = -42 + 52. Suppose -4*a - 8 = 2*h, 4*a = -4*h - p - 6. What is the tens digit of x(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + -31 + 7 - (2 + -3). Solve -4*j + 5*t - 7 = 0, z + 0 = -2*j + 5*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51187, -409753, -1383101, -3278623, -6403711, -11065757, -17572153, -26230291?\n\"Answer: -51232*g**3 + g**2 + 55*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 15, w: 4}. Give prob of sequence ww.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*29150\/2250 + -1 + 14\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s + s)*(4*s**3 - s**3 - 2*s**3) - 2*s**4 + 4*s**4 - 4*s**4 - 3*s**4 + 6*s**4 - s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*-54*5\/(-20)*68\/(-18)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (198312\/(-36))\/(6\/207) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8197 and -56.\nAnswer: 8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26*n + 2559. Let a be v(-97). Solve -33 - 41 = a*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 2*z + 145. Solve 91 - 31 = -z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338 - -126. Let z(m) = -m**3 - 25*m**2 - 28*m - 44. Let c be z(-24). Let h = c - n. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63708 and 16056.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4191 or -4161?\nAnswer: -4191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-4)\/(-24)*189\/24?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -103. Let z be (43 + -32)*c*(-1 + 0). What is the greatest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {z: 1, o: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*s - 911*s + 958*s + 1681*s.\nAnswer: 2236*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37925?\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 837.39 - 17.39. Let i = -780.7 + v. Round i to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430490 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**4 - 146*r**2 - r**3 - 14*r + 77*r**2 + 3*r + 3 + 69*r**2 to the form m*r + c*r**3 + a*r**2 + n + u*r**4 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -51. Suppose p*k = o + 21 - 7, 7 = 3*k + 2*o. What is the second biggest value in k, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18946805 to the power of 1\/2, to the nearest integer?\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113 + 3013?\nAnswer: 11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1262911, 1262927, 1262943?\n\"Answer: 16*o + 1262895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (7 + -10 - (3 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -333, -325, -315, -303?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13673 - 123241\/9. Let r = n + 24. Factor -14\/9*k**2 + r*k - 8\/9.\nAnswer: -2*(k - 2)*(7*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -15. Suppose 5*v = -t, 14 = -h + 2*h - 3*v. Suppose 13 - 83 = -h*u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/3)\/(2\/201)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/420 - k**6\/24 - 7*k**5\/30 - k**4\/2 + 3096*k**2. Factor d(v).\nAnswer: -v*(v + 2)**2*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243400 (base 5) to base 2.\nAnswer: 10010000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 27*y**2 + 37 - 3*y**3 + 11*y - y + 2*y**3 - 2*y. List the prime factors of u(27).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392)\/sqrt(7) + sqrt(56))\/sqrt(8) + 5 + 0 + (sqrt(28) - sqrt(7)) + 2)*6)**2.\nAnswer: 1512*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*2))**2*-6.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2. Let k(i) = 15*i - 154 + 154 - 3*i. What is g(k(b))?\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**7\/105 + 17*z**6\/60 - 41*z**5\/30 - 17*z**4\/12 + 14*z**3 - 9*z**2 + 30. What is w in r(w) = 0?\nAnswer: -1, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/((-4)\/(-824)). Let g = t + -172. Let h = g - 73. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/11, -4, -6 in descending order.\nAnswer: 45\/11, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8432 and 2.\nAnswer: 0.1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 4719.\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/4, 110, 0.3, 20, -2, -1\/3, 182?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1919.273 to the nearest 10.\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*a, 0 = -0*p - 3*p. Let l be (-3)\/(-1) + a\/(-1). Let d(y) = -y**l - 3 - 4 + y**2 - y + 1. Give d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 52*i**2 + 2*i - 6. What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.013 - 0.013. Let q = -618 - -621. Sort -6, j, q, 0 in descending order.\nAnswer: j, q, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x - 5. Suppose -4*j + 25 - 1 = 0. Let r(k) = 4*k + 3. Let l = -4 - -14. Let y(q) = j*a(q) + l*r(q). Let d(u) = -2*u**2. Give d(y(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11413141110 - -221?\nAnswer: -11413140334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/7 + 1964*i\/7 + 964324\/7 = 0. Calculate i.\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -2249, -5674, -10633, -17126?\nAnswer: -25153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-8 + 5) - 2) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9 - 4 + 3 - 2*f - f**2 + 10*f - f. Determine w(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 7*s**2 + 7*s - 5. Let f be b(-8). Solve f*u + u + 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 23*i**2 + 32*i + 43. Let j = -57 - -36. List the prime factors of b(j).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y - 193. What is x(38)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 - 267. What is the remainder when v is divided by (9\/(-6))\/((-3)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1540, -2641, -3788, -4981, -6220, -7505, -8836?\n\"Answer: -23*i**2 - 1032*i - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/6*(3 - 1). Which is the second smallest value? (a) -0.5 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15745900?\nAnswer: 2, 5, 101, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*m - 5*m - 91*m + 10 as c + q*m and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4994 divided by -84\nAnswer: -2497\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose -4*w + 27 = 3*i, 2*w + 7 = 3*i - h. Suppose -i*o - 2*s - 3*s - 15 = 0, -2*s - 1 = -3*o. Sort 3, 5, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 11705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*c + d - 25, -31*d + 349 = -5*c - 12*d - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(252) + 5 + (sqrt(252) - (2*sqrt(252) - sqrt(252)))**2 - -1*sqrt(252)*3) + -4.\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xus when three letters picked without replacement from {w: 2, s: 2, o: 1, x: 6, u: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*a**3 - 10271888*a**2 - 15407886*a - 5777964.\nAnswer: 2*(a - 320998)*(4*a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8166 is divided by 4070.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 744235020.34\nAnswer: 744235024.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5*y)*(-5 + 3 + 3).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5581.419 kilograms to micrograms.\nAnswer: 5581419000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292524 times -4.8?\nAnswer: 6204115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:05 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 97?\nAnswer: 5\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147349808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132060421874\/5664375 - 23859624\/1007. Let p = h - -3416\/9. Is p greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19932 divided by 7\nAnswer: -19932\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -18. Let s = h + -76. Let j = s - -157. What is the highest common factor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w - 460. Let y be c(-24). Solve 7*l = -3*l - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 99515?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 84. Let c = y - -60. Suppose -2*t - 4 = -24. Calculate the remainder when c is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4 - 13*m + 7 + m**2 + 21*m + 0*m**2. Let v be l(-8). Differentiate -37*h**2 + v*h**2 + 2 + 18*h**2 wrt h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881 divided by 881.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 48*o**2 - 56*o + 482. Let g be p(47). Calculate the greatest common divisor of g and 11151.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 407 - 421. Is -8 + 1988 - (a\/2 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*g - 12 = 8, -2*l + 5*g + 35 = 0. Suppose w - 17 = -2*o, 2*w + 4*o = w + 9. What is the highest common factor of l and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 16596*n + 1837041 = 0?\nAnswer: 113, 5419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 770200650 rounded to the nearest one million?\nAnswer: 770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let a(s) = -6*s + 8. Let g(d) = -a(d) + 2*n(d). Let i be g(-10). Let h = -11 - -23. What is the highest common divisor of h and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27139\/27 + 1005. Let j be 2 + 20\/(-14) + 33\/77. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1998 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2753567ml in litres?\nAnswer: 0.0002753567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 35*w**3 + 34*w**3 - w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/35)\/((-2)\/7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3518 divided by 144.\nAnswer: 1759\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -33198093864.\nAnswer: 33198093864.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:29 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*s = 20, -8*s + 7*s + 5 = -5*a. Suppose a = -29*i + 26 + 32. Let y = -3 + 3. Solve y = -2*g - 8 - i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 9 = -12*m, 0*p - 5*p - 50 = -5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -4, -3, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + 7*x**2\/2 - x. Let q be p(-5). What is the greatest common divisor of q and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -816 divided by -204?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 318 = 78*o - 193 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/3)\/(-7) - 13\/(-3). Suppose -x*r - 580 + 2561 = -2*l, -l - 395 = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17))**(-8)\/(n\/(n**(-18\/11)\/n*n))**(1\/2) assuming n is positive.\nAnswer: n**(-141\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - 100*z - 636. Calculate r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= 0.32079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13018969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51455600 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -7. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35b + 16?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9574, 10145, 10716, 11287?\n\"Answer: 571*q + 9003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 393*s. Let v(l) = 875810*l. Calculate v(c(o)).\nAnswer: 344193330*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m + 114. Let l = -667 - -781. Let p(a) = 1. Give l*p(f) - q(f).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (26\/((-416)\/(-528)))\/(1\/124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417344 is divided by 88569?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 698 and 6.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -52\/5, 5, 1\/8, 0.22, -5, -4?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w**2 - 34*w + 2 - 2 + 79*w - 43*w.\nAnswer: 79*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**43*(p**3\/p)\/p assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*t - 41 - 56 + 98)*(-22*t**2 - 16*t**2 + 7*t**2).\nAnswer: 4216*t**3 - 31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1469 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/38706 and 19\/20?\nAnswer: 387060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 28, d = 29*q - 33*q - 34. Suppose -n - 3*n = 16. Is ((-2)\/n)\/(d\/(-17772)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2468134*g**6 - 17*g**5 + 41684178*g**2.\nAnswer: 296176080*g**3 - 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 10*c**3 - 10*c**3 + 9*c**3 + 6*c - 163*c**2.\nAnswer: -11*c**3 - 163*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87529 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = 3*f - o, 3*o + 15 = 5*f. Suppose 26 = f*j - 28. Let w(h) = -h**2 + 21*h - 42. Is w(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272905 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 1\/(4\/112*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 432*v**3 - 14592*v**2 + 115520*v + 1316928.\nAnswer: -4*(v - 38)**3*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*g - 22, -g + 63 = 58. Let d = 0.02 + -0.82. Sort -0.4, -1\/4, h, d in decreasing order.\nAnswer: h, -1\/4, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000 (base 4) to base 3\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4531.78478 to 1 decimal place.\nAnswer: -4531.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/200 and 41\/552.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 0*g**2 - g**2)*(-5*g - 6*g + 35*g) to j + b*g**2 + n*g + a*g**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583.7049 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 733.1603mg?\nAnswer: 733160300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0 = 12. Let c be 0 + h + -2 + 52\/4. Suppose g = u + 28 + c, 0 = -3*u - 12. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12223405 (base 9) to base 7.\nAnswer: 101553125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 407384206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 32\/3*p**2 + 2*p + 34\/3*p**3 + 0 + 8\/3*p**4 = 0?\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3195 - 24550. What are the prime factors of z?\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 0.02, -0.3, -171, 0.1, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - 26. Let z be (-4)\/1 + (-30)\/(-49 - -39). Let w(f) = -f + 1. Let h(d) = 13. What is v*w(c) + z*h(c)?\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 923 + -924. What is the nearest to 0.1 in b, 3, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddl. What is prob of sequence dddl?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 809360954+-41\nAnswer: 809360913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*o**4 - 10720*o**2*w**3 + 6*w**3 + 63*w**2 + 2*w + 8 with respect to o.\nAnswer: 56*o**3 - 21440*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y - 24. Let k be a(-4). Let f = 83 + k. Is f > -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Sort 6, 2, i in increasing order.\nAnswer: 2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22454939.18117 + -1.\nAnswer: 22454938.18117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - g - 2*g)*(1 + 11*g**2 - 89*g + 89*g) as f + n*g**2 + r*g + j*g**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = 1551 - 291. What is the tens digit of 4*(-340)\/y*(-119)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -286, -242, -108, 164, 622?\n\"Answer: 8*a**3 - 3*a**2 - 3*a - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1216, -3\/5, 0.038, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 - (84 + (-1 + 11 - (18 + -18)))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.028*0.5\nAnswer: 0.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4158)\/7)\/(-18))\/(((-21)\/1)\/(-1)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*k**2*w**2 + 4*d*k**2*w + 447972*d*k**2 + d*k*w**2 + 28*d*k*w - 2*k*w**2 - 2382*k + 2 wrt k?\nAnswer: 2*d*w**2 + 8*d*w + 895944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 116390*i - 677331605.\nAnswer: -5*(i + 11639)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:52 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -9. Let k = 79 + -103. Let w be 1 + 31\/(-21) + k\/(-42). What is the nearest to 1 in 2, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/61 in 0.04, -1\/4, -147?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3326, 3333, 3338, 3341, 3342, 3341?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*n**4 - 76*n**3 + 13*n + 76*n**3 + n**2 - n**4 to k*n**3 + d*n + y*n**4 + o*n**2 + x and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -94?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113725 divided by 6?\nAnswer: -3113725\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 63, -2, -3 in descending order.\nAnswer: 63, 8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*4\/3. Suppose 17*o + 44 = 3*i + 12*o, -4*o = -8. What is the remainder when ((-32)\/10)\/(w\/(-20)) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 478 + 14?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 6551186.6?\nAnswer: 6551186.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-34100)\/44)\/155*(-72)\/(-15)*4\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3332207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 245\/9 - (-6258)\/8046\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736345.1 millennia in years?\nAnswer: 736345100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {h: 5, l: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -86915857 divided by -12416551\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + u + 1078. Let z be v(0). Let b = -704 + z. Is ((-23)\/(-2))\/(11\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499.6 + -500. Let i = -42 + 43.9. Let y = i + -2. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h + 1. Calculate the remainder when 98 is divided by a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.44725 + 0.148. Let v = -0.3 - k. What is v rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66\/297 - (-25934)\/18 and 2.\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 21*t**2 - 16*t + 21. Suppose -4*f + 230 - 82 = 0. Suppose 4*a + 7 = -f. Let v(c) = 4*c**2 - 3*c + 4. Determine a*v(n) + 2*r(n).\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine fifths of a millennium?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -13) + (-4)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 4.3. Let m = 6 - s. Let a = -6 + m. What is the third smallest value in -0.1, -3\/2, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.346 decades to millennia.\nAnswer: 0.51346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 149248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 26*u. Let j(g) = 9*g. Let t(k) = 8*k - 28. Let p be t(6). Suppose 0 = 6*b - 3*b - 111. Let c = b - p. Give c*j(h) - 6*w(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 7, 1 in descending order.\nAnswer: 7, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, 24, -2\/7?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/414 and 67\/276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)*f)\/(f*f**(-19)*f))\/((f\/(f**(4\/9)\/f))\/f*f**(4\/11)))**(4\/29) assuming f is positive.\nAnswer: f**(6863\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2) + -2)\/((-5)\/25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 0.055489?\nAnswer: 1.944511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6175 + 37165\/6. What is the common denominator of -68\/27 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -b + 4*b - 4*g, 0 = -4*b + 3*g + 63. Suppose -y + 5*y = b. Find f such that -1\/3*f**3 - 9*f + y*f**2 + 9 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 253*o + 3229. What is i(-266)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/10*(-3718)\/(-11154)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 4:27 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 884169 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000193201 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(7 + -16049). Let n = h - -35792. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3012, 3011, 3010, 3009?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = 26*k + 4*w + 796, 4*w - 11 - 9 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 769*k - 774*k + d + 111472, -5*k + 2*d + 111474 = 0. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and -121\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6)\/a*a*a**(-4)\/a assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - z + 3)*(354*z**2 - 107*z**2 - 109*z**2) to x*z**3 + h + t*z**2 + m*z and give x.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 + 0*q + 1\/6*q**3 - 1\/12*q**4 + 1\/60*q**5 - 33*q**2. Determine p so that k(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22\/9 (b) -5 (c) 6 (d) 2536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286950339 divided by -22073103?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**8\/2880 + z**6\/240 - z**5\/10 - 4*z**2. Let m(d) be the third derivative of s(d). Find the first derivative of m(j) wrt j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31365 divided by 8.\nAnswer: 31365\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 453 = -28*n - 1705 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (714\/(-1224))\/(7\/3)*1*3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -54, 3, 0 in decreasing order.\nAnswer: 3, 0, -54, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 42 + 10038*x**2 - 37 + 115.\nAnswer: 10038*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 8*j + 8. Let c be z(-8). Suppose -11*y = -13*y + c. What is the remainder when -1*(8 + -4 + -33) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4603331 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-880))\/(2\/(-16)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(475)*-1 - sqrt(475)) + (-5*1*sqrt(475))**2.\nAnswer: -15*sqrt(19) + 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 213810172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let r(w) be the first derivative of w**4 - 8*w**3\/3 + 6*w**2 - 52. Let a(i) = i**3 - i**2 + 1. Let z(u) = g*r(u) - 8*a(u). Factor z(t).\nAnswer: -4*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 plus -0.041?\nAnswer: -201.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 168\/13 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:55 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232587809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmdxdmxddx. What is prob of picking 3 d and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 15. Solve -3*h + 1 + 5 = 5*r, -4*r = -y*h - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1569 is divided by (-147 + 156)*52\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14\/419 (b) 3 (c) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1*2*1\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r - 1. Let u(t) = -5*t**3 - 3*t - 3. What is 2*k(h) - u(h)?\nAnswer: 7*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 6*w - 56 = 0. Suppose 0 = f - i - 18, -f - f - 3*i = -w. Suppose 0*g - 4*g - 2*o + f = 0, -26 = -2*g + 4*o. Let z(t) = 2*t - 7. Give z(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 10) to base 11\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/67, 2\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-44) - ((-123)\/12 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 15. Let r(o) = 2*o - 4. Let q be r(3). Suppose -q = -0*a - a. Solve -2*u - a*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*sqrt(1200)*-1)\/((sqrt(378)\/sqrt(112))\/sqrt(9))*2*2)**2.\nAnswer: 9600*sqrt(2) + 1843225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4449399 or 4449401?\nAnswer: 4449399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/225*25\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -6) + -48 + (11 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 - 9*t**2 - 5*t - 24. Let n be s(-6). What is the common denominator of 25\/2 and (-5)\/((-20)\/8) + n\/(-328)?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 2340?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, -0.5, 0.4 in decreasing order.\nAnswer: 18, 0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 + 62 - (-17 - -79)) + -23.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/40 + p**5\/20 + 8*p**2. What is the third derivative of z(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193358 and 52734.\nAnswer: 580074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 + -543. Let k(d) = -d**2 + d + 7. Give k(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1615562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001243 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45270.3 rounded to the nearest ten?\nAnswer: -45270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2148 and 59\/5370.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 178803265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j - 2 = -76*j - 5*b, 3*b - 16 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 4 + 4)*(-3*t**3 + 2*t**3 + 0*t**3) + (t**5 - 2*t**5 - 2*t**5)*(-175 + 47 - 6).\nAnswer: 401*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/120 - 7*j**5\/60 + j**4\/6 + j**3 - 7*j**2 + 7*j. Determine n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 179)*15\/(-30). Let v = f - -89. Solve c - 2*h - 2 = 0, c + 3*h = -3 - v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208031 is divided by 1688.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23341015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1\/2, -2\/13, 14.2, -3\/8?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 36 = 4*q. Suppose 4*h + 1 = n - 1, -2*n + 4 = 4*h. Suppose 0 = n*g, a - 3*a = 4*g - q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -12. Suppose 0 = -0*d - 2*d - 3*m + 81, 150 = 5*d - 3*m. Suppose 4*b + d - 177 = 0. Calculate the highest common factor of b and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403715 is divided by 12001?\nAnswer: 7682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993382 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/4319694 and -67\/12.\nAnswer: 8639388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (12\/(-26))\/(177\/(-2301)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -1\/5, 4, -3\/8 in increasing order.\nAnswer: -3\/8, -1\/5, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 - 3*r + 3. Let z be d(2). Let x be (6 - 5) + (z - 3). What is the units digit of 4\/(-6)*(x - 2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (1*sqrt(13))**2 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00072427087 to five decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)\/f**5)\/((f*f**(2\/5)*f)\/f**4))\/((f\/(f*f\/f**(-2\/5))*f*f)**(-11\/4))**(3\/20) assuming f is positive.\nAnswer: f**(-12149\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 14) to base 10\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 6228*o**2 - 117879*o - 571228.\nAnswer: -(o - 6209)*(o - 23)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 3*o + 2*o + 26, 3*s - 4*o - 7 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, 2, 8, -4 in increasing order.\nAnswer: -20, -5, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(c - 5*c - 3*c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from araaram.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1229970 and 55?\nAnswer: 13529670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1213551 - 43?\nAnswer: -1214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 10*a**2 + 13*a - 17. Let w be j(4). Solve -2*u = -0*u, -3*t - w*u - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 31*y - 29*y, -65 = 3*l + 5*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (-333 - (4 - 2)). Let u = 1024 - k. Suppose 3*n = -4*x + 313 + 242, -3*n + u = 5*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*k + 4*k + 4*v, v - 2 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -15. Calculate the remainder when 37 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = i + 2*n, 5*n = 4*i - 8. Suppose i*q - 1 - 73 = 0. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*c + 68218 + 19678 = 0, c = 1. What is t rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112916256 and 6960.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.9368ml to litres.\nAnswer: 0.6849368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401 + -68209.87129.\nAnswer: -68610.87129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 = -18*d + 13*d, 4*x - 14 = 2*d. Suppose 5*p + 20 = 0, -5*u + 68 = -0*u + d*p. Calculate the remainder when 44\/(-2)*(0 - 5) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/2987 + -875201\/14935. Let i = s - -58. What is the biggest value in -2, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2555721 to the nearest 1000.\nAnswer: 2556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 38. Suppose -4*i + s = -106. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801519 is divided by 10692.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 25534.6?\nAnswer: -25524.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a*v**3 + 9*a*v**2 - 2*a*v - 2*a + 17426*v**3 + 2*v**2 - 4*v + 21170 wrt v.\nAnswer: -114*a + 104556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-1))\/(5\/(80\/(-32))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342*y = 1098*y. Sort y, 8, -611.\nAnswer: -611, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1165, 1\/3?\nAnswer: -1165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 3*j + (0 + 6*j + 0)*(2 - 1 + 0) + 0*j - 3*j - 2*j)*(-3*j + 0*j + 2*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 4*d - 3*d + 0*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p*q**3*x**2 - p*q**3*x - p*q**2*x - 3*p*x**2 - 6*p*x wrt q.\nAnswer: 36*p*x**2 - 6*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -6) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 + 28 = 0, 0 = -2*i + 4*k + 708. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3)\/(4\/(-6)). Let n be ((-52)\/p)\/(6\/9). Suppose -x = 4, -39 = -5*g + 3*x + 298. What is the greatest common factor of n and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73683, 73681, 73681, 73683, 73687?\n\"Answer: f**2 - 5*f + 73687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -822.2 and 0.01.\nAnswer: -8.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(33)\/sqrt(3)*1*-2 + -1)*4.\nAnswer: -8*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4441, -3908, -3373, -2836, -2297, -1756, -1213?\n\"Answer: y**2 + 530*y - 4972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occ when three letters picked without replacement from {c: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/880 and -61\/101840.\nAnswer: 1120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 18 = -v, 5*v + 0*c = c + 14. Let b be (-6)\/(-15) - (-13)\/5. Find o such that -b + o**2 + o**v + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 26*f. Let s(x) be the second derivative of 2*x**3 + 2*x + 5. Determine s(d(j)).\nAnswer: 312*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27994.\nAnswer: 2, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46845\/43 - -999224\/387. Let u = v + -1491. Factor -u*b - 4\/9 - 2\/9*b**4 - 10\/9*b**3 - 2*b**2.\nAnswer: -2*(b + 1)**3*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*l + 15. Let o be (-1)\/(-2) + l\/4. Calculate the lowest common multiple of ((-2)\/o)\/((-34)\/255) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 10*u - 26. Let p(f) = 4 + 2*f**2 + 0*f**2 + f - 4 - f**2. Let h(z) = -3*i(z) - 30*p(z). What is the first derivative of h(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 + 36*c + 172. What is the remainder when j(-6) is divided by 168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*(7 - 11) + 43 + 0 and (-1)\/((-14)\/(-24))*252\/(-108)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.382666ml in litres?\nAnswer: 0.002382666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9386 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (5 - (-17 - -9 - -22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdy when three letters picked without replacement from dvvvuvyuuuvvvvvvvvu?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/1120 + y**7\/2520 - y**5\/120 + y**4\/8 + 2*y**2. Let j(l) be the second derivative of p(l). Give j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -35*m**3\/12 - 425*m**2\/4 - 60*m - 433. Factor d(j).\nAnswer: -5*(j + 24)*(7*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-42))\/(-1*(-1)\/(-3)). What is the greatest common factor of 8 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21268 divided by 409.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 * -1.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 13*g + 5. Suppose 0 = 3*l - 87 - 72. What is the remainder when l is divided by b(11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54734554?\nAnswer: 2, 7, 19, 149, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108065, -216140, -324215, -432290, -540365, -648440?\nAnswer: -756515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 take away 808.1?\nAnswer: -808.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*s - 973*s - 2*s**2 - 8 + 8.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b - 1\/24*b**4 - 18*b**3 + 2*b**2 + 49. Find the first derivative of d(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37785\/385 + -75)\/((-5)\/7 + 1).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 36*y = -2727 + 1384 - 3280, -t - 2*t - 3*y + 192 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2. Let p(f) be the third derivative of f**5\/60 + 5*f**2. Calculate 6*o(h) - 33*p(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9555729077 + 4178.\nAnswer: -9555724899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54112.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 495 - 249. What are the prime factors of l?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1166?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 4*x + 0*x + (4 + 1 - 3)*(x - 2*x + 3*x) + 57*x + 3469*x + 3235*x.\nAnswer: 6766*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 6182 + 12365 - 6183 + 0*q**3 - 7*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -216. Let x = n + 332. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2109, -2268, -2427?\nAnswer: -2586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14420 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/19 or -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 4, s: 2}. Give prob of picking 1 d, 2 i, and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 927, 1560, 2301?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5562476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58223 - -58223. Let 6\/5 + v*u**2 - 3*u**3 - 6\/5*u**4 + 3*u = 0. What is u?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -164959, -164965, -164973, -164983?\n\"Answer: -h**2 - 3*h - 164955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 + z + 2. Let l be h(2). Let k(x) = 28*x - 16. Let i be k(4). Let q = -74 + i. Solve 5*p = l*t + 11, -5*t = -2*p + q - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(171) - (sqrt(171)*1 - sqrt(171) - sqrt(171))) + sqrt(171))*-6)\/(sqrt(81)*-1))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.533573 rounded to 3 decimal places?\nAnswer: -6.534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h + 3 + 3\/4*h**3 - 3\/4*h**2 = 0. What is h?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252154668.\nAnswer: 2, 3, 21012889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 3, f: 14, z: 1, q: 1}. Give prob of sequence kq.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {f: 9, o: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1063\/279 + (2 - 6). Let i = r + -1\/31. What is the third biggest value in 0.5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1 - (1 - 0)) + 482 + -486?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5 + (-1053)\/(-45). Calculate the greatest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -2*(sqrt(6)\/sqrt(2) + sqrt(3)))**2 + (sqrt(12)*-5 + sqrt(3))**2 + 3*-2*sqrt(147) + 2*(sqrt(144)\/sqrt(4)*4)\/(sqrt(24)\/sqrt(2)*-5).\nAnswer: -218*sqrt(3)\/5 + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.06081 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2771*f**3 + 3*f**2 - 6*f + 9. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/238 + 3196\/329?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:04 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -12100404000?\nAnswer: 12100403545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -101 and -7479?\nAnswer: 7378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l - 21 - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 929931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30*20\/(-250))\/2. Which is the smallest value? (a) p (b) -0.3 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 + 130*r**2 + 85*r - 465. What is the smallest common multiple of h(33) and 118?\nAnswer: 9558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 36, 66, 96, 126, 156?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*d + 15. What is the third derivative of -7*v**5 + 23*v**2 + d*v**5 - 43*v**2 wrt v?\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50047783 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.175 - -3.175. Let q be (-1 - -3)*(-5)\/(-20). Which is the nearest to 6? (a) -4 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/18)\/((-18)\/(-3)))\/(4*(-159)\/108).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155652300 divided by 18.\nAnswer: -8647350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = f - 34879, -5*a = -4*a + 5*f - 6995. Let g = a + -83783\/12. What is the common denominator of -31\/6 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/24542 and -17\/665.\nAnswer: 2331490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4678368*h + 22265156 with respect to h.\nAnswer: 4678368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-10 - 1760\/(-170)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + l**2 - l + 0*l. Let w(b) = -b**3 + b**2 + b + 11. Let r be w(0). Let p = 13 - r. Calculate o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let r be g(-16). Suppose 0 = 6*h + 192 - 936. Let a = h + -122. Calculate the highest common divisor of a and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 2, u: 2, k: 1, c: 1}. Give prob of sequence ujcu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37474 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjujju. What is prob of picking 2 j and 1 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19583 (b) 5 (c) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x**2 - 9*x + 8. Let u be t(9). Is u greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 480 + -255. Let r = 230 - k. Put -3, -5, -29, r in decreasing order.\nAnswer: r, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4 + 3784*a**3 + 924612*a**2 + 14016960*a + 41515200 = 0?\nAnswer: -465, -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 + -22000?\nAnswer: -21645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Let a = -15 + 17.3. Let s = a + -0.3. Sort q, 4, s in increasing order.\nAnswer: q, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134, -133, -140, -161, -202, -269, -368?\n\"Answer: -s**3 + 2*s**2 + 2*s - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 179. Let b be k(19). Let w = 988\/5 - b. What is the closest to w in 2, 1\/12, -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 1212*d**3 - 35440*d**2 + 66000*d = 0.\nAnswer: -330, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 + 2*l + 6*l**2 - l - l**3 in the form z + v*l**2 + c*l + u*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 4*m + 9 + 4*m. Suppose 0 = 6*k + 20*k. Let x be y(k). Calculate the greatest common factor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4 - 3. Let i(b) = -b**3 - 6*b**2 + 6*b + 5. Is i(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.034 + -1.334. Let p = -17 + 15.3. Let r = x + p. Which is the third smallest value? (a) -5 (b) 0.2 (c) r (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397146, 794297, 1191448, 1588599?\nAnswer: 1985750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -183*x**2. Let f(t) = 1512*t. What is z(f(a))?\nAnswer: -418364352*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 2631\/28. Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78\/3547 + 14500526\/17735. Let a = w - 830. Find the common denominator of 30\/7 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(1 - 14*(-2)\/(-12)). Solve -c + d = -5, 6*c + 4*d + 2 = l*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.611 + -2.664. Which is the fourth smallest value? (a) -0.4 (b) 0.2 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -n - 2. Let w(z) = -z**2. Let p(l) = l**3 + 12*l**2 - 7*l - 5. Let m(i) = -p(i) - 6*w(i). What is the remainder when 9 is divided by m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4717?\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 6\/13, -1\/22, -6, -0.18, 0.3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -132736918267 take away 0?\nAnswer: -132736918267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*u**4 - 3*u**3 + 12*u**2 + 28647?\nAnswer: -532*u**3 - 9*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.999931 + -64. Round l to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -459. Let j = 8431264 - 8431598.99666. Let h = j + d. What is h rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -49*d - 561. Give w(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 990.8848 millimeters in meters?\nAnswer: 0.9908848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 224186 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32416053 (base 7) to base 9\nAnswer: 5203200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-18) + 33 + -32?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -3 (c) -0.3 (d) 10\/3 (e) 0.92198\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.8 + 12. What is the fourth biggest value in u, 0, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*c**3 - c**2 + 2554*c + 43029 wrt c?\nAnswer: -129*c**2 - 2*c + 2554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68839 >= 68839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, 3\/2329, 3 in increasing order.\nAnswer: -1\/20, 3\/2329, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let j(c) = 3*c**2 - 3 + 2 + d - 2*c. Is 8 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*i + 356 = 5*z + 376, -3*i + 2*z + 8 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - x = 0, 0 = -2*w - x - x. Let b be w*3\/(-12) + 78. What is the highest common divisor of 52 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 4. Suppose 0 = -j*k - 10 + 792. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*g - 0*q - q, 12 = -g - 5*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399, 4, -51, 0.06 in ascending order.\nAnswer: -399, -51, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*h - 1 = 0, 3*i = 7*i - 3*h - 18. Suppose -8*w - 3*r = -3*w + 3, 3*w = -3*r - 3. Solve -i*v = -w*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 0*w**3 - 13*w**3 + 9*w**3 + 0*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, p: 6}. What is prob of sequence nppp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgw when four letters picked without replacement from {g: 9, w: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/35 in 5, -0.1, 360, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/14 and -113\/88560.\nAnswer: 619920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -12 + 30. Solve -i = -x*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.4 - 31.4. Let z = 16.88 + -17. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*((w*w\/(w*w\/w**(-3\/17)))\/w*w)\/w*w))**17)**(-2\/181) assuming w is positive.\nAnswer: w**(28\/181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 67 + (1 + 2 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*t + 24 = 0, 7*b = 5*b + 5*t + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*f - 5*l, 4*l + 592 = 572 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-72)\/(-1440))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6973 + -4710. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52373\/5 + -10474. Let d = 3.4 - 4. Put -0.2, 0.5, q, d in increasing order.\nAnswer: d, -0.2, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 216 = 9*p. What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-6)*(-1)\/6*2\/(-9)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 94 - (2848 + -2887)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 101 = 257. Let f(d) = 3*d - 33. Let i be f(z). Let p(v) = -v**3 + 8*v**2 - 5*v - 7. Is p(i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let n(s) = 2*s**2 - 4*s**2 - s**h. Let j(l) be the second derivative of -5*l**4\/12 + 271*l. Calculate n(j(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -15. Let r(s) = 3*s**2 - 14*s. Is r(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 6 = 0. Let l be (-1)\/3 - (-92)\/v. What is the greatest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 32 = 4*m. Let z = m - -38. What is the remainder when 2\/(-6) - (-268)\/3 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, v: 11}. What is prob of sequence vjj?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from xgghshze.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - (2 - 3)) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1 + 19 - 31)\/(-2 + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18975 - -8\nAnswer: -18967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5*n**2 - 71185*d**4*n**2 + 27*d**2*n**2 - 38*d**2*n + 12*d**2 + n + 2 wrt d?\nAnswer: 60*d**2*n**2 - 1708440*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-27 - (9 - (19 + -5))) + -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/(o\/(o\/(o*(o*o*(o**(-4)\/o)\/o*o)\/o))))**(-6\/7) assuming o is positive.\nAnswer: o**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-34)\/204612*51)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*a - 185 = -v, 537 = 3*v + 3*a. Suppose 0 = 3*z + 3, i - 2139 + v = 2*z. Let l = i + -17561\/9. Find the common denominator of 37\/3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -201*k - 9859. Calculate l(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.176754 rounded to 1 dp?\nAnswer: -57.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -40*i + 46*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12884 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*z + w - 48, 3*w = -4*z + 40. Let c be ((-16)\/(-84))\/(8\/28). Sort c, z, 0.\nAnswer: 0, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -106*q - 1375. Let b be i(-13). Solve -5 = -2*g - k, b*g = -2*k + k + 8 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 2337642 and 3294?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -4, -9, 103, 4.\nAnswer: -9, -4, 4, 5, 24, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, j: 2, k: 3}. What is prob of sequence jgg?\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -90. Calculate the remainder when o is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5\/2 (b) 4 (c) 3823.41 (d) 3 (e) 0.03 (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*u - 268 + 268)*(-5 - u**4 + 5 + (u - 2*u + 3*u)*(2*u**3 + 0 + 0)).\nAnswer: 135*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*j = -j + 33, 3*d - j - 33 = 0. Suppose 0 = d*m - 0*m. Is 16 a factor of (223 - m)\/(38\/38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b48 + 84?\nAnswer: bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1194 + -539. Suppose 0 = -21*l + 26*l - a. Which is greater: l or 130?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h = -18*h + 36*h + 200. Determine t, given that -7\/2 - h*t + 3\/2*t**2 = 0.\nAnswer: -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10*-4*(-10)\/(-220))\/(3738\/(-3115)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*1*10115\/(-357). Let q(n) = 61*n - 5. Let t be q(6). Let p = t - g. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 q when four letters picked without replacement from {n: 2, i: 2, w: 2, f: 1, j: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1246*v - 22327 - 88567 = 0 for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjzjjjjjjjjjzjjj.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f - 15. Let s(u) = -7*u**2. Give s(y(d)).\nAnswer: -343*d**2 - 1470*d - 1575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - i**2 - 3*i**2 + (-i + 3*i - 3*i)*(5 - 5 - i) - 3*i**2 + 5*i**2 + 2*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 14. Let u(v) = -2*v**3 - v**2 - v + 1. Let a be u(k). Let l = a - -13. What is the greatest common divisor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -28343*z**2 - 10 + 9*z - 3*z + 28337*z**2 + 3*z**3. Calculate the remainder when p(4) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c - 164 + 0*c**3 - 25*c**6 + 0*c**5 - 113\/2*c**2 + 0*c**4. What is the second derivative of s(o) wrt o?\nAnswer: -3000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 - 2*d - 5. Let l be j(-4). Suppose 0 = m - l - 1. Let u = 11 + -1. Calculate the least common multiple of u and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11218 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 + 3*o**3 + 0*o**3)*(-2 + 3 + 0 + (3 + 2 - 3)*(24 - 2 + 41)) to c + s*o**3 + l*o**2 + z*o and give s.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2410 - 3574 = -110709*h + 110522*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 33*k**2 - 34*k**2 + 3.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-10)\/35 + (-2)\/(56\/(-316))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + 7.3. Let r be (-14)\/(-10) - (-2)\/(-5). What is the biggest value in 2\/19, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1133*-5.\nAnswer: 0.5665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 7. Let i be m(6). Let c be (-36 + 30)*(-2)\/4. Suppose -c*r + 2 = -i. Calculate the highest common factor of r and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1672 and 1704?\nAnswer: 356136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 5*p + 11. Let v(i) = 2*i**2 + 6 + 4*i + 13 + 0*i**2 - 7. Let y(w) = 4*g(w) - 3*v(w). Suppose y(t) = 0. Calculate t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29*k + 32. Let q(h) = 10*h + 11. Let s(x) = 4*o(x) - 11*q(x). Let j = 4 + -2. Let z(y) = y + 1. Give j*s(f) - 14*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 156 = 24*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 2. Let x be p(7). What is the first derivative of -7*g + 5 - 2 + x*g wrt g?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*h = 6*i + 2, 4*i - 5*h = 6. Let r = -0.3 - 0.7. Which is the nearest to 0? (a) 5 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13050401 (base 7) in base 6?\nAnswer: 41251112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - (-6)\/9. Suppose -4*x + 10 = l, -5*l + 4*x + 1 + 1 = h. Differentiate r**2 + 0 - l - 3*r**2 + 0*r**2 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 2*f**3 + 36 - 63 + 17*f - 26*f + 15*f**2.\nAnswer: -3*(f - 3)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let m(v) = -16*v + 3. Let n(h) = -m(h) + 6*r(h). Let t be n(3). Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*c + 75*c = -31*c - 309 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25496096 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 202 + 286 - 110 - 11*b + 8*b - 7*b. Give f(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16607\/6 + -2768. Which is the second biggest value? (a) 0.3 (b) 21 (c) n (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5635703, 11271399, 16907085, 22542755, 28178403, 33814023, 39449609, 45085155?\nAnswer: 50720655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.890876 + -3545058\nAnswer: -3545068.890876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10282 and 776?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18742 - 74972 + 18743 + 18746 + 18741 + 5*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/60 + w**4\/24 - 2*w**3\/3 + 6*w**2. Let y be m(-3). Solve y*h + h = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476868.\nAnswer: 2, 421, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 + 20*j**3 - 10*j**2 - 15*j + 10 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676350606?\nAnswer: 2, 7, 31, 3862559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 6)*(-174*j - 365*j + 208*j - 163*j - 248*j).\nAnswer: -6678*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 930 + -533. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155297.281 + -5846739.\nAnswer: -5691441.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 16. Let i be s(0). Let m = 6 - i. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -163?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -516 and 0.8?\nAnswer: -412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(3*t + t - t) + 0*t - 2*t + 4*t - 11 + 2509*t - 2961*t + 13.\nAnswer: -444*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8 + 11*p**2 - 6.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 37*c**3 + 96*c**2 - 504*c - 26. Let s(o) = -6*o**3 - 16*o**2 + 84*o + 4. Let z(h) = 2*k(h) + 13*s(h). Find u, given that z(u) = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = 108*t + 74*t - 159*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315 (base 16) in base 5?\nAnswer: -124020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**4\/4 - s**3\/3 + s - 3. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-23800929\nAnswer: -4760185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y. Let i(q) be the second derivative of q**7\/1260 - 5*q**4\/2 + q**2\/2 + 80*q. Let v(d) be the third derivative of i(d). What is v(n(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6709 - -6139. Is -579 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2. Let q(u) be the first derivative of 3*u**2 + 13. Calculate i(q(b)).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86630535 and 1725.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.1 - -52.1. Let j be -7*1*9\/(-21). What is the closest to -0.1 in j, p, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15927*s**4 + 15011.\nAnswer: -63708*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.48 + 125.52. Let w = 125 - n. What is the smallest value in w, -0.2, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 + 385*k**4 - 3520*k**3 - 49260*k**2 - 41760*k + 302400 = 0.\nAnswer: -84, -6, -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**8\/20160 + p**7\/5040 + 7*p**5\/60 + 7*p**2. Let o(y) be the third derivative of c(y). Factor o(x).\nAnswer: -x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:46 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -2453, -3682?\nAnswer: -4911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4754664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*x - 9. Let f be ((-6)\/(-14))\/(60\/560). Sort -5, x, f in ascending order.\nAnswer: -5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {z: 6, g: 1, h: 8}.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 52*u**2 - u - 1. Let g be l(2). Let o be (-7884)\/(-54)*(1 - -1). Let c = o - g. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19*z**3 + z**2 + z. Let b be (2 - 1 - 2) + 4. Suppose -5*g - 6 = -o, -7 = g - 3*o - b. List the prime factors of k(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-1 + -1)**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 719 = -5*g, -472*x + 475*x = 2*g + 707. Calculate the least common multiple of 6 and x.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11632 and 1344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w - 1. Calculate the remainder when 114 is divided by k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.01226 minus -506?\nAnswer: 455.98774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16417421 (base 9) to base 7.\nAnswer: 126603325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149, 1130, 1111, 1092, 1073?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153944 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.516161 micrometers in kilometers?\nAnswer: 0.000000001516161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*l**4 - 198*l**2*v + l*v - 16*l - 2 wrt l.\nAnswer: -1404*l**2 - 396*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24965*v**2 + 180*v - 18403563 wrt v.\nAnswer: 49930*v + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1545 + 1548. Sort 1, -0.05, q in ascending order.\nAnswer: -0.05, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5020 and 0.09?\nAnswer: 5019.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*u + 32, -5*y + 0*u - u + 125 = 0. Suppose -3*n + y = -4*l, -4*n + l + 8 + 5 = 0. Let i = -6 + 9. Solve 10 = -i*f - n*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9 - 7*i**2 + 5*i**3 + 2 + i - 4*i**3. Let o(h) = 2*h + 1. Let z be o(3). Let d be c(z). Which is greater: d or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 13. Let s(o) = -4*o**3 - 3*o**2 + 3*o - 3. Let q(k) be the second derivative of 3*k**5\/20 + k**4\/6 - k**3\/3 + k**2 + 2*k. What is y*s(n) - 6*q(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401010*a**2 - 199652*a**2 - 33631*a**2.\nAnswer: -634293*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 + 4.37. What is the second smallest value in -0.2, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, x: 4}. What is prob of sequence xww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16)\/((24888\/192)\/(-61))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 18*u + 7. Let g be v(-6). Let y(q) = -1 - 28*q + 184*q + g - 6. Let i(o) = -o**2. Determine y(i(s)).\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 1746201397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6. Suppose -35*w + 32*w = o - 1, 0 = -5*o - w - 9. What is the smallest value in q, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 - 96*k**2 + 2235*k + 2332 = 0.\nAnswer: -1, 44, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/6 + (-4)\/(-6). Let z be t\/(-3)*9\/(-4). Let h = z + -5. Let a(b) = 7*b. Give a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -1, -4, 15, 0.2, -2306?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -2.2069129712.\nAnswer: 2.7930870288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1601423 by -38.\nAnswer: 1601423\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/10 and 914\/56 - (-4)\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 2, a: 1, h: 1, n: 1}. What is prob of picking 1 h and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659 (base 13) to base 8.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**4 - 36*b**3 - 5*b + 6. Let x(y) = y**4 - y + 1. Let v(n) = -a(n) + 6*x(n). What is the second derivative of v(r) wrt r?\nAnswer: 12*r**2 + 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.678 to one dp.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17985 divided by -165\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5710\nAnswer: -1\/5710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 3\/181 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468563 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77509 - -411534. Let p = y + -489063.0037. Let i = p + 20. Round i to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from fqnnnfmannnnqnfff?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 + 512*h**2 + 19*h - 394. Calculate n(-128).\nAnswer: -2826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 821140.650712542 + -0.655612542. Let s = 821209 - u. Let b = s - 69. What is b rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (-8)\/3. Let y(h) = 2*h**2 + 4*h - 1. Let g be y(f). Let r = g + -8. Let t(i) = -i - 5. Let z(x) = x + 4. Give r*t(m) - 4*z(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 1. What is b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o. Let j(a) = -21*a - 31. Let w(g) = j(g) + 2*v(g). Determine w(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 1, y: 1, j: 1, u: 6, b: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 9. Suppose -1 = 3*r - j. Let n(u) = -u**3 - 5*u**2 - 2*u - 4. Let x be n(-5). Let p(k) = -4*k. Let o(t) = t. What is r*p(l) + x*o(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = 39*b + 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12091 + 12321. Solve 0 = 7*b + 244 - v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11961*b**3*s**2 + 89*b**3*s - b**3 + 1942*b*s**2 - b*s + 20*s - 206 wrt s?\nAnswer: -23922*b**3 + 3884*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - -29) + 14 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5461?\nAnswer: 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 22 = -2*p + 10*i, 5*p + 2*i - 31 = 0. What is the nearest to -1 in p, -1022, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1262 + -1224. Calculate the highest common factor of i and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 - t - 6. Let y = -27 - -19. Let l be d(y). Suppose 6 = -p + 4*p. Is p <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 1.02. What is h rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 + 4 = 0. Let g be (-10)\/(5\/(-2) - -2). Solve k + j*k = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 1097364995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 686309 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60752 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 9:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/19 - 64*x**2\/19 - 2*x\/19 + 64\/19.\nAnswer: 2*(x - 32)*(x - 1)*(x + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41101 is divided by 3912.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 29833.8\nAnswer: 8353.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2. Suppose 2*v - 46 = -2*v + 2*a, -v - a + 7 = 0. Let f(z) = -486*z + 244*z + 242*z + v*z**2. What is -8*b(w) - 3*f(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -0.4 (b) -5 (c) 7 (d) 1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzyy when four letters picked without replacement from {c: 1, x: 1, d: 2, z: 7, y: 8}?\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-639)\/15 + -3 + (-36)\/(-10). Let d be x\/(-3) + (-3)\/(-3). Let s(f) = f - 16. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p + 140. Calculate q(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13295, 13309, 13323, 13337?\nAnswer: 13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(2*z - 3*z + 3*z) + 0 - 2*z + 0)*(-3*z - 2*z + 6*z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 1.98. Let a = m - -1. Let o(l) = -l**2 + l - 1. Let w be o(0). What is the closest to w in 3, -2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/(h**(-3\/4)*h)*h**(1\/7)*h**(-5\/2)\/h)**43)**(19\/2) assuming h is positive.\nAnswer: h**(-82517\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323974108.\nAnswer: 2, 1993, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjqamqyaaqamj. Give prob of picking 1 q, 1 y, and 2 m.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:06 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17257.\nAnswer: 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 614.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 4*b)*(5953*b - 10092*b + 5460*b).\nAnswer: -2642*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 2*v**2 + 7*v + 12. Let b be s(-4). Let x = 114 + b. Solve x*u - 15 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.120892 or 92?\nAnswer: 0.120892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 45*q**2 + 125*q + 3629. Give m(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20) - (-1)\/10*-5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {w: 2, n: 4, b: 1, z: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:13 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 1, u: 1}. What is prob of sequence mlu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/(-70))\/((-2)\/5). Let s be q\/8 + 36\/16. Suppose 3*x + 0 = 4*i - 2, -3*x + 2*i = -s. Solve -4*n - x*p = -p - 4, 3*p + 2 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, d: 3, q: 1, n: 1, t: 2}. Give prob of sequence qtd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - 14. Suppose 17*f + 6*f - 11*f = 36. What is d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -389*k**4 + 1138 with respect to k.\nAnswer: -1556*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 - 53*n - 387. Let r be v(-6). Solve r*b = m + 20, b + 83*m = 85*m + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 3*d**3 - 5*d**3 + (3*d + 3 - 3)*(4 - 5 - 1)*(18 + 29 - 34)*(2 - d**2 - 2).\nAnswer: 77*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2227, -16968, -56317, -132370, -257223, -442972, -701713, -1045542?\nAnswer: -1486555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 4*q. Calculate the remainder when 157\/5 + 2\/(-5) is divided by w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*n - 2*n, -6 = -2*z. Let h be (-48)\/(3 + -5)*5. Calculate the highest common factor of h and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 542*y**3 - 76*y**2 - 36*y**3 - 13*y**2 - 118*y**2 wrt y?\nAnswer: 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2647572 and 15753?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-231 + 231 + 58*o)*(0*o**3 + 10*o**3 - 4*o**3) + (-2*o**2 + o**2 - o**2)*(-2*o**2 + 1 - 1))*(o + 2*o - 5*o).\nAnswer: -704*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*t + 76 - 78, -4*t - 26 = 5*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 800074*p - 1556. Let j be z(-1). What is j rounded to the nearest ten thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {l: 1, v: 7, k: 6, p: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 29. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1071871607 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 45 - 31*s**3 + (s**2 - 2*s**2 - s**2)*(0*s - s - s) to the form n*s**2 + r*s**3 + j*s + u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(124640\/57))\/(((-10)\/8)\/5 + -2)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/2)\/9*(-8)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -352411, -702570, -1052729, -1402888, -1753047?\n\"Answer: -350159*s - 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*k + 91*k + 107*k in the form o + u*k and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdu when four letters picked without replacement from {u: 6, d: 4, t: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/(-6*((sqrt(3) - -2*sqrt(3)) + sqrt(3))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 1371. Let y(v) = 2*v + 7988. Give y(z(g)).\nAnswer: 4*g + 5246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 3*x + 2*x + (-3 + 7 - 3)*(-4 + 2*x + 4) + 3*x - x - 3*x + (x - 14 + 5 + 6)*(-2 + 2 + 1)*(1 - 1 + 1).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(128)*2)**2 + 2 + (sqrt(2) - ((sqrt(128)*1)**2 + sqrt(2))) - (-6*(sqrt(10) + sqrt(40)\/sqrt(4) + sqrt(10))\/sqrt(5) + (1 + sqrt(2))**2*-6*6).\nAnswer: 58*sqrt(2) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) - sqrt(68)) + sqrt(17) + sqrt(51)\/sqrt(75).\nAnswer: -5 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*y + 24*y + 2*y**2)*(-62*y - 537 + 537) to m*y + j*y**2 + f + u*y**3 and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 2. Let m be 4\/((-12)\/(-9)) - 2. Let j be g(m). Suppose -j*o + 112 = -2*l, 0*o - o = 2*l - 40. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414967, -830073, -1245345, -1660867, -2076723?\nAnswer: -2492997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + 0*n + 2*n)*(3 - 4*n**2 - 3) + 22*n**2 - 22*n**2 + 5*n**3 to the form a*n + x + w*n**2 + f*n**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-6600)\/(-308))\/(-25))\/((-10)\/(-28))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*m + 1323*m + 41532 = -1911*m - 599*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1206 and -5.\nAnswer: 6030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -868 + 127. Let h = 13 - -6. What is the greatest common factor of h and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from prorphrorhoohoh.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*12\/15. Suppose -5*q = m*l - 57, 0 = 2*q + 2*q + 20. Let a = l + 25. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*h + 22 - 2 = 0, -5*o - 3*h - 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + 3\/18. Let g be ((-2)\/5)\/(2 + 3\/(-15)). What is the third biggest value in s, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x + 0 - 13*x**2 + 3\/10*x**5 + 23\/6*x**3 + 0*x**4. Is p(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9476 and 12772?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-7))\/7)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96146526 and 1428.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/20448 and 55\/7384.\nAnswer: 265824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 2, s: 7, n: 5}. What is prob of picking 4 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 2}. Give prob of sequence ib.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 9452, 6 in increasing order.\nAnswer: 0.3, 6, 9452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/96 and 14\/(-8)*2130\/(-900) + -5.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/58212 and 97\/936.\nAnswer: 1513512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 10*x - 15. Calculate t(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*r + 6293 = 440 - 247 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**42*o*o*o*o**9*o)**(3\/10) assuming o is positive.\nAnswer: o**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0 + 0 - 2 + 1. Let p(j) = -11*j**2 - j - 3. Let y(w) = -p(w) + 4*v(w). Determine y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-507)\/(-27) - 1) + (-80)\/(-360). Let v be 50\/(-3325)*3\/k. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose -2*u - 36 = -2*k - 0*k, 4*k + 2*u = 54. Suppose 0 = -a + 5*y - k - 13, 5*a - 2*y + 25 = 0. Is p at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2050.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let m(z) = 13990*z**2. Calculate t(m(h)).\nAnswer: 27980*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 176 - 119 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (2 - 4))\/(-2). Let u be -1*(-1)\/(v\/10). Let s = 14011 - 13997. Solve -2*k = u*g + 6, -5*k - g + 3*g + s = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:19 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 2 g when four letters picked without replacement from {m: 3, h: 1, a: 1, g: 3, u: 1, v: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6267382, 6267386, 6267390, 6267394, 6267398?\n\"Answer: 4*g + 6267378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -249*s - 6719. Let u be g(-27). Let c(n) = -2*n**3 + 10*n**2 - 11*n + 8. Give c(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 10 = z. Let r = 1\/112 + 31\/112. Which is the closest to r? (a) z (b) -4\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, 0, 6031 in ascending order.\nAnswer: -116, 0, 6031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16240 = -24*u - 928. Does 69 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((5 + 3*sqrt(17)*3)*4)**2.\nAnswer: 8640*sqrt(17) + 134597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/12 + r**4\/12 - 13*r**2. Let f(w) = -3*w + 31. Let m be f(9). Suppose 2*l = -m*g, -1 = 2*g + 4*l + 11. Determine c(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -942*t - 6602. Calculate l(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 1. Let c = n + -1. Let s = -167\/8 - -21. What is the smallest value in s, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 528 - 514. Which is the second biggest value? (a) 0.4 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 1\/6 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 316*y + 241*y = -518*y - 96654 for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -24, -21, -16, -9, 0?\n\"Answer: v**2 - 2*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220209909 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {r: 2, d: 2, e: 5, b: 1, j: 2, g: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10323 - 10323 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23356*n**4*p - 23*n**2*p - 46881383*p wrt n?\nAnswer: -93424*n**3*p - 46*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1023\/744*1\/(-11))\/((-2)\/92)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114108, -114145, -114202, -114285, -114400, -114553, -114750?\nAnswer: -114997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 223*0.11\nAnswer: 24.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*a = -26, 0 = -3*n + a + 45 - 63. What is the closest to -5 in -0.1, n, -1\/11, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 + 16515*o**3 - 179646126*o**2 + 530229565828*o - 500208895654968 = 0?\nAnswer: -24693, 2726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k = 8. Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501812 divided by -4\nAnswer: 125453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3477?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 3033304*h - 2300233289104 = 0 for h.\nAnswer: 1516652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 - 1. Let p be 10\/25 + 3\/5. Let x be h(p). Suppose n - 4 - x = 0. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 75. Let k(t) = -4*t. What is i(k(v))?\nAnswer: 4*v - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*o = 14, 0 = -25*r + 29*r - 3*o - 7. Let c = -42 - -46. Suppose -5*b - 17 = -27. Solve -r*a = -b*a - c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from uuhxycy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1611*v**2. Let t(f) = -367*f**2 + 103. Calculate t(r(n)).\nAnswer: -952482807*n**4 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*u = -35, -119 - 106 + 200 = -2*i + 3*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q + 2 + 4*q + 4*q - 9*q to d*q + h and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 96. Suppose 3*p - 9 - 3 = 0, -4*t - 4*p = -i. Factor 83*r - 2*r**3 - 85*r + t*r**3.\nAnswer: 2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893050143.\nAnswer: 3, 13781, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 15*i**2 + i - 13. Let a be x(15). Suppose -a*w + 2 = -4. Calculate the highest common factor of w and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.1 - -13.88. Let u = 2.6 + h. What is u rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -822325 times 0.7\nAnswer: -575627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/15125*25*(-20)\/16*2?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = 4*z. Is 1*10994\/(-4)*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -m + 211. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)\/u**(3\/8)*(((u**(1\/3)\/u)\/u*u)\/u)**(-2\/17))\/((u*u**0*u**(-1\/3))\/(u**(-1))**(-7\/9)) assuming u is positive.\nAnswer: u**(-1805\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c + 2*c. Suppose 3*p - 7 = c. Suppose 4*m - 44 = 4*f, -4*m + 0*m = -p*f - 44. Calculate the least common multiple of m and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1372, 2754, 4186, 5692, 7296, 9022?\n\"Answer: 4*c**3 + c**2 + 1351*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -17. Suppose -5*l + d = -4. Let 1\/3*h**l + 1\/3*h - 2\/3 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-66)\/(-48))\/11)\/((-166)\/498)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5870000 to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - -2*sqrt(66))*-6 - sqrt(66) - sqrt(66)) + sqrt(66) + 6*(sqrt(66) + 2*sqrt(66) - sqrt(66)))\/((sqrt(6) - sqrt(216)*3)*6).\nAnswer: 7*sqrt(11)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -729, 4, 2, -16.\nAnswer: -729, -16, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44069, -43466, -42865, -42266, -41669?\n\"Answer: -w**2 + 606*w - 44674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 7:21 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169336735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954020.\nAnswer: 2, 3, 5, 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 11}. What is prob of picking 4 t?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxvvx. Give prob of sequence vtxx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008367231472 rounded to seven dps?\nAnswer: -0.0083672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -351227 < -351227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14232325, 28464656, 42696987, 56929318, 71161649?\n\"Answer: 14232331*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28883 is divided by 28867?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129348 = -2834*m - 156886 for m.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**4 - 2*k**2 - k**4 + 0*k**2)*((-3 + 3 - 1)*(-1 - 2 - 2) + 2 + 0 + 4) as s*k**2 + x*k + w*k**4 + d + q*k**3 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 u when four letters picked without replacement from {k: 2, u: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, -361, 0.4353?\nAnswer: 0.4353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287 and 361837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwj when three letters picked without replacement from jlqqllolrlqqwjo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8\/9, -7.2, 1, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3643 divided by -4\nAnswer: 3643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 88*a**2 + 1 - a - 10*a**2 + 3*a**3 + 2*a + 236*a**2 as l*a**2 + j*a**3 + s + k*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, 1, -4452 in increasing order.\nAnswer: -4452, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12858 is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let r(k) = 231173382*k**2. Calculate a(r(q)).\nAnswer: 462346764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776 divided by 79.\nAnswer: 776\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)\/d**(-2\/13)*d**3\/((d*d*d**(-2\/11))\/d)*(((d\/(d\/(((d**(-1)\/d)\/d)\/d)))\/d)**38)**(22\/3) assuming d is positive.\nAnswer: d**(-594164\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r - 4. Let q(o) = 7*o - 2. Let d be ((-12)\/7)\/(22\/693*-9). Let g(k) = -k - 22. Let s be g(-11). Determine d*w(p) + s*q(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*m**4 - 20*m**2 - 3 + m - 2*m + 59*m**4 + (-3 - 1 + 6)*(-m**4 - 2*m**4 + 4*m**4) + m**4 - 4*m**4 + 4*m**4 - m**4 + m**4 + 2*m**4.\nAnswer: 7*m**4 - 20*m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/537675 + 14517229\/2150700. Find c such that -h*c - 1\/4*c**3 - 15\/4*c**2 - 13\/4 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 12) to base 8.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022200 (base 3) in base 8?\nAnswer: 7447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197 and 112259196?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + 0*o + 0*o)*(-4*o + o - 5*o).\nAnswer: 32*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(2*x**2 - 3*x + 3*x) - 5*x**2 - 18*x**2 + 5*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*a - 0*a + 21, 7 = -3*k - 2*a. Put 2, k, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1749688, 1749687, 1749686, 1749685?\n\"Answer: -p + 1749689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 5, h: 1, g: 5}. Give prob of sequence yh.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Let n(o) = -7*o - 20. Let h be n(-6). Let l(i) = -2*i + h*i - 10*i + 22*i. Calculate l(d(w)).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = -4*t - 11737, 3*q = 2*t + 7043. What is q rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4*2\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-8 - (-8 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1856 and 59\/64.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1110 and 333?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0034 millennia in decades?\nAnswer: 1200.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 31*i**2. Let y(a) = -3*a**2. Calculate y(o(n)).\nAnswer: -2883*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**4*b)\/b*b\/((b**(-1\/8)*b)\/b) assuming b is positive.\nAnswer: b**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1194541*i**2 - 204*i - 3360?\nAnswer: -2389082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356 - 653. Let y = -190 - z. Suppose 0 = -4*o + y + 1. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78835, -315359, -709573, -1261477, -1971071, -2838355, -3863329?\n\"Answer: -78845*w**2 + 11*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 1304*d**4\/9 - 58648*d**3\/3 + 11934208*d**2\/9 - 167518208*d\/9 = 0.\nAnswer: -352, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, j: 1, n: 1}. What is prob of sequence fn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2267906.7 to the nearest 10000.\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6542 (base 11) to base 5.\nAnswer: -234022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 20942?\nAnswer: 62826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.01 + 3. Let w = -52.01 - -52. Let f = w - b. Put f, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 14 = -5*c, 0 = 2*b - 0 + 2. Let g be c\/(-6) + 62\/4. What is the highest common factor of 80 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28ab824 (base 12) to base 7\nAnswer: -126421024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -68. Let y = -3 - -4. Which is the nearest to 1? (a) d (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -47. Let c be -1 + 1 + k\/(-1) - -1. Solve -9*y = -c*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685 is divided by 732?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - w**5\/60 - w**4\/24 - 2*w**3\/3 - 8*w**2. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140325011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.01 (b) -1\/2 (c) 1 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 - -1489. What are the prime factors of f?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23616, -47234, -70852, -94470, -118088?\n\"Answer: -23618*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:59 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*w + 5*w - 17*w)*(4*w**2 - w**2 - 2*w**2) to a*w**2 + g*w**3 + x*w + j and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h + 22. Suppose 4*v - h*j = 78, 3*v - 3*j - 41 - 10 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 94*b + 500. What is the remainder when 159 is divided by x(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1570 = 5*o + 1344, -4*c = 60*o - 2808 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493122400?\nAnswer: 2, 5, 17, 101, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 - 5*u + 50. Let r be m(-8). What is the highest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 - 8*q + 23. Let y be f(-10). Solve 4*l - 3*n = l + y, -5*n = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2 + 5*a + 5. Let g be (-2)\/7 - (-86)\/7. Let h(m) be the second derivative of -11*m**4\/6 + 2*m**3 + 6*m**2 + m. What is g*o(d) - 5*h(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - -18. Let r = -10 + x. Let q be 32\/r + 10\/(-15). What is the closest to -1 in q, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 27*y + 2. Let i(k) = -2*k**2 + 28*k + 3. Let g(b) = 2*i(b) - 3*s(b). Factor g(j).\nAnswer: -j*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 3*i**2 + 8*i - 4. Let n be g(-5). Suppose -4*s = s. Suppose -d + s*d + 12 = 0. Solve 3*j + d = n*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*q**2 + 160*q**2 - 321*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3274.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0565 + 36.3565. Let v = 28 - j. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 38348.\nAnswer: 4\/9587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p - 3. Let q be g(-5). Let o(y) = -209*y**3 - 6*y**2 - 8*y. Let d be o(-1). Suppose d = -9*v + 265. Solve q*r = -r + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0129, 1\/4, 10, -4, -0.4, -41?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) 2\/11 (b) 3 (c) -3 (d) -4\/5 (e) -104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2833, -5266, -35229, -97988, -204475?\nAnswer: -365622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/30 - j**2. Let q(s) = -4*s - 2*s + 4*s. Determine q(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2528)\/(-12) + (-3)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/6 + 1\/6. Which is the second smallest value? (a) 4 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33166321 to the nearest integer?\nAnswer: 5759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 3*g**2 - 3*g - 2. Let c be x(-2). Let p = c + -5. Suppose -d + 6*d + 3*j + 19 = 0, -4*j - 18 = p*d. Sort 0.5, d, -2\/9.\nAnswer: d, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 = -104*h + 39*h + 1900 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 7, n: 6}. Give prob of sequence lnmm.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a63844 (base 11) in base 3?\nAnswer: -20112112200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 38. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5346.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11409415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -5*n - 5, -3*b = 8*n - 6*n - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 53 + 48)*(-j + 6*j - 2*j).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 10. Let j be w(-12). Let a(i) = -22*i + 1. Let x be a(j). Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3431 != -10292\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044011247 rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 22. Let o(n) = 2*n. What is o(d(z))?\nAnswer: -8*z - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357160 (base 9) to base 7.\nAnswer: -1554243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4\/5 + 546*b**3\/5 - 1404*b**2\/5 - 10920*b + 22080 = 0. Calculate b.\nAnswer: -184, -10, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5232.6985 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136576*a - 208 = 41*d + 136575*a, 3*a - 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1167, -1\/5 in descending order.\nAnswer: 1167, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z, 10*h + 77892 = 12*h + 4*z. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8 - 6 - 2*n + 3*n + 11. What is the units digit of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172199 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -3 - (-5 + 1) - (-14 + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4)*1*24\/144.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.22 - 0.83. Round n to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -40, -55, -88, -145, -232?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (sqrt(1573) + -3)**2 - (2*(2 + sqrt(13))*-3)**2) + 4.\nAnswer: -210*sqrt(13) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 86, 194, 346, 542?\n\"Answer: 22*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -44) + -5 - (42 - -3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1519 + 142. Suppose -72*c + 61*c - t = 0. Is c bigger than -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*q**2 + 582*q**2 + 1 - 255*q**2 - 1 - 172*q**2.\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*z = -26, j + 3*z = -0*z + 14. Let m = -0.6 - 4.4. Which is the second smallest value? (a) 0 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 18. Let t = 47 + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:02 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 + 2. Suppose h + h = -v*q + 34, -h - 10 = -q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 + 182640*m**2\/7 - 547934*m\/7 + 365292\/7 = 0. What is m?\nAnswer: -91323, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(-3*(-3)\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/((i*(i*i**1*i)\/i)\/i*i)))**(-3))**(-2\/27)*(((i**(2\/5)\/i)\/i)\/i)\/i*i**3*i\/i**(-2)*i*i\/i**(5\/2) assuming i is positive.\nAnswer: i**(211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -129, -192, -253, -312?\n\"Answer: n**2 - 66*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-170)*(-51)\/18\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874 is divided by 1860.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + c3e?\nAnswer: c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -7 + 89 + -94?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 35*x = 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -12212122?\nAnswer: 12212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-35 - -27 - (2 - (0 - -5)) - -95).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10884)\/(-10) - (-112)\/(-280). Let h = k - 11962\/11. Let n = -193\/2 - -99. What is the closest to 0 in 0, n, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5281 by -112823.\nAnswer: 5281\/112823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885 divided by 5?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 - 2*d**2 - 3*d + 3. Let r(i) = 7*i**3 - 3*i**2 - 2*i + 4. Calculate 3*g(k) - 2*r(k).\nAnswer: 4*k**3 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*w**2 + 0 + 34\/9*w = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.7 (b) -7\/3 (c) 0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/330 - 13*c**4\/33 - 64*c**3\/11 + 101*c**2 + 1. Let z(o) = 0. Calculate o.\nAnswer: -48, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let z(x) = -9*x - 4. Determine z(j(w)).\nAnswer: -18*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**29\/b)**(-2\/17))**(-49) assuming b is positive.\nAnswer: b**(2842\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1369474 by 1.\nAnswer: 1369474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0 + 1\/360*w**8 + 2\/1575*w**7 + 0*w**4 - 2*w**2 + 0*w**3 + 0*w - 7\/900*w**6 - 1\/225*w**5. Suppose t(a) = 0. What is a?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from {a: 2, w: 3, k: 1, f: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1055464, 2110793, 3166088, 4221343, 5276552, 6331709?\nAnswer: 7386808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*t**4*u - 22*t**4 - 5015*t**2 - t*u wrt t.\nAnswer: 912*t*u - 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408 and 16578496.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*n + 85*n = 2135. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:35 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2350*l - 1355*l - 1586*l in the form t*l + k and give t.\nAnswer: -5291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21.1 times -10\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 10 - 4. Is 17 a factor of 34 + (2 + 0 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a + 41. Let g be q(-6). Let m(x) be the second derivative of x**4\/6 + x**2\/2 + 5*x. Let d be m(-1). Solve -g = -v - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -42, -73, -112, -159?\n\"Answer: -4*r**2 - 11*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 2, 8 in decreasing order.\nAnswer: 8, 5, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 34. Let j be o(8). Suppose 10*l = -j - 22. Let n(i) = 3*i**2 - 5*i - 9. What is the tens digit of n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208613 and 14704?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005727192 rounded to seven dps?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229097 divided by -20.\nAnswer: 229097\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -106666732?\nAnswer: -106666755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287450769 * -0.3.\nAnswer: -86235230.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, 7, 55, 113, 175, 235?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121000000 - -10?\nAnswer: -120222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 32*w**2 - 161*w + 130.\nAnswer: -(w - 26)*(w - 5)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x + 4. Let w(k) = -k**2 - 5*k - 5. Let n(c) = 5*p(c) + 4*w(c). Let l(y) = -3*y**2. Give l(n(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-560))\/((4\/(-10))\/(256\/(-160)))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40786861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 121839718\nAnswer: -121839718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4\/5, -1\/11, -1\/10 in increasing order.\nAnswer: -1\/10, -1\/11, 4\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/11 or 3?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.522463 kilometers to centimeters.\nAnswer: 152246.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*f + 26 = 0, -3*t + 357*f = 356*f + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j + 213. Let q(b) = b**3 - 33*b**2 + 27*b + 158. Let y be q(32). Let d be 1\/3*y - (-160)\/j. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6059708?\nAnswer: 2, 19, 71, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 0*j + 2*j + 2 - 2*j. Let x be r(5). Suppose t = -0 + x. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*y - 50591342 = 132*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -98, -3\/7?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 1, 3, 5 in descending order.\nAnswer: 42, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*u - 5 = 0, 0 = 4*t - 4*u - 19 - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -47 + 20 - 2*k + 24. Give d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*i + 164 + 803 + 111 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 942595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.135 in 2\/11, 4, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -87. Let l = -26 - b. What is the nearest to 1 in l, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiui when four letters picked without replacement from {u: 1, y: 1, t: 2, i: 2, x: 4}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nmvnk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 64. Suppose -2*d + z*d = 162. Solve q + 1 = -2*b + 2, -b = -5*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445523 (base 7) to base 14.\nAnswer: 20a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.1898nm in meters?\nAnswer: 0.0000003781898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 153236 - 39?\nAnswer: 1531a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 980*m**3 - 8044*m**2 + 13132*m - 6072.\nAnswer: 4*(m - 6)*(m - 1)**2*(m + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -22*y - 155. Let q be b(-9). Differentiate -q*w**4 - 116*w**2 + 115*w**2 + 8 - 117*w**4 wrt w.\nAnswer: -640*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by 6?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.19 + -1.09. Let g = 16 + -9. Let q = g - v. Which is the second smallest value? (a) 0 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 6 + 5*f**3 + 0*f + 0*f**4 + 0*f**2 + 1\/5*f**5. Find the third derivative of c(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0.3, 0.01 in descending order.\nAnswer: 5, 0.3, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 82.074. Let g = n + 0.073855. Round g to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oltflofoooflootffoi. What is prob of picking 1 i, 1 o, and 1 l?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/7 (b) -1613 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163597 is divided by 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 132588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/48 - 26\/(-12))*(-1 - -19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*p + 3*p + 71*p)*((-2 + 2 + 2)*(-2*p - p + 2*p) + 653 - 34*p - 653) in the form n*p + o + l*p**2 and give l.\nAnswer: -5400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10123 + -10124. Sort -10, 4, h, 2 in decreasing order.\nAnswer: 4, 2, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 7*h**2 + 26*h - 79. Let d be a(5). Suppose -5*q - 2 = 8. Let y be q\/9 + (-260)\/(-36). What is the highest common divisor of y and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11303738 is divided by 1883936.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 384, 762, 1140, 1518, 1896, 2274?\n\"Answer: 378*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**7\/112 - 3*p**6\/80 + 3*p**5\/80 + p**4\/16 - 3*p**3\/16 + 3*p**2\/16 + 45*p. Find f such that q(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:50 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6539*v - 112 = 6535*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32110169 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let z(t) = 1. Let g(y) = y + 1. Let u(v) = -v**2 + 5*v - 1. Let l be u(5). Let k be (-1 - -4)*l\/(-3). Let i(d) = k*g(d) - z(d). Determine x(i(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p = -53*p - 1464 + 48. Calculate the remainder when p is divided by (-1 - (0 - 17)) + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -72?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 7) in base 12?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191808 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(233\/2796)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + h - 4, 4*x - h - 1 = -0*h. Are x and -2\/3765 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43034860 is divided by 7940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -145920, -291820, -437696, -583536, -729328, -875060?\n\"Answer: 2*k**3 - 145914*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 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 b = -22 - -62. Calculate the remainder when 9966\/36 + (-69)\/(-414) is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -542, -1570, -3502, -6632, -11254?\nAnswer: -17662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/2 > 1.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 34. Suppose 2*r = -5*m - g, -2*m = 2*r - m + 15. Let q(a) = 4*a**2 - 11. Is q(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/158523 or -1094?\nAnswer: -1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521403063.\nAnswer: 1521403063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.4, -2\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207607380 to the power of 1\/2, to the nearest integer?\nAnswer: 14409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275490.\nAnswer: 2, 3, 5, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 45 + 15. Does 4 divide (34 - 0)\/(13 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43320*d - 10827*d - 10834*d - 10828*d - 10853*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 726 + -720. Suppose l*f - 1861 = 575. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3365 - -30928\/50475. Calculate the common denominator of 81\/50 and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 176, 185, 194, 203, 212?\n\"Answer: 9*z + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let i = -454 + 456. What is the remainder when i is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-r**2 - 3*r**2 + r**2 + (-28 - 4*r + 28)*(-2 + 2 - 2*r))*(-2*r + 2*r + 2*r)*(-35 - 3*r + 35).\nAnswer: 60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {l: 3, p: 6, g: 2, n: 2, o: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and 2232.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11628 and -119\/1818?\nAnswer: 1174428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 + 0.07. Let p = 0.83 + 0.17. What is the nearest to y in -1, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 - 11*x**3 + 61*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x = 1617 + 2096. Suppose s - t = 124 - 13, 5*s = t + 551. Suppose -s = -n + x. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*n**4 - 744285*n - 62617850?\nAnswer: 104*n**3 - 744285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233556 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176114.\nAnswer: 2, 173, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52409560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k - 5018 = -121*k - 148*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 10*h - 4. Let p(a) = -5*a**2 - 10*a - 5. Calculate 4*j(f) - 3*p(f).\nAnswer: -f**2 - 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*n + 35, b + n - 9 = 1. Which is bigger: 6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 7. Let d(f) = 3. Suppose -w - 15 = 3*k - 48, k + 4*w - 22 = 0. Let t = k - 5. Give t*d(r) + 2*j(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 20 = -15*g. Let q = 4 - g. Let n(k) = 36*k - 1 - 15*k - q*k. What is n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/12 - c**3\/3 - 5*c. Factor h(u).\nAnswer: u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4880 and -11\/1485960.\nAnswer: 2971920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 11*r**2 - 23*r - 2. Let i be m(6). Solve i*q = 47*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 1. Let u be k(2). Let b(t) = 3*t**2 + 2*t - 1. Let o be b(-2). Let g = u - o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -2. Let k(u) = -u**3 - 7*u**2 + 2*u + 8. Let g be k(d). Let q(j) be the first derivative of -j**4\/4 - 7*j**3\/3 - 5*j**2\/2 + 4*j + 12. Give q(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4253172?\nAnswer: 2, 3, 7, 11, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1196*c**6 - 2*c**2 - 377 wrt c.\nAnswer: -143520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(175) + 3)*-2 + (-3 + sqrt(7) + 3)**2 + 5 + -1.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 575*s**5*x + 2*s**3*x**3 + 2*s**3 + 10*s**2*x**3 - 8*s*x**3 - x**2 - 7*x wrt s?\nAnswer: 34500*s**2*x + 12*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(704) + (sqrt(11) - (1 + sqrt(11) + 1)) - (5 + 4*(sqrt(11) + sqrt(11) + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*k**2*q*u**2 - 2*c*k*u**3 + 260*c*k*u**2 + 46*c*q*u**3 - k**2*u**3 + k with respect to q.\nAnswer: 2*c*k**2*u**2 + 46*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 - 4\/5*s**2 + 1\/25*s**5 - 4\/15*s**4 - 9*s + 2\/3*s**3. Let w(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 255.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1139294, -1139288, -1139282?\n\"Answer: 6*i - 1139300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 25\/27?\nAnswer: 25\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 3. Let g be v(-2). What is the units digit of (134\/4)\/(g\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 11*n**2 - 10*n + 5. Let z be d(-10). Solve 3*y = z + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(24\/11)*m\/(m**(3\/7)\/m) assuming m is positive.\nAnswer: m**(289\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -30*g. Let s(d) = 31*d. Give r(s(a)).\nAnswer: -930*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/451 in -1\/2, -2, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.08 (c) 0 (d) -2\/5 (e) 43.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78723 divided by 1773?\nAnswer: -8747\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2963, -5929, -8895, -11861?\n\"Answer: -2966*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 246, -325, -1424, -3225, -5902?\nAnswer: -9629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8846 - 2.8846016287. What is f rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208 - b429?\nAnswer: -b634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from kvuavkvuuazuovk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5574 + 5588. Let o = 95 + -40. Calculate the remainder when o is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1 + 5 + sqrt(320) + 2 + sqrt(320) + -1 + sqrt(320) + 2 + 3)**2 + -1)*6 + 3.\nAnswer: 3840*sqrt(5) + 31317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -61*u**3 - 2*u**2 + u. Let k be z(1). Let p be (2\/14)\/(118\/(-48734)). Let x = p - k. Solve 2*j + 20 = x*g, -2*g + 2*j = j - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47706047 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552199.\nAnswer: 83, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Let r be z(-5). Suppose t = 2*k + r, 3*t - 5*k - 4 = 4. What is the second smallest value in -4, 9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 1073 = 5*g - 1811. Is g at most as big as -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 5*b - 9*y, -3*b + 159 - 108 = y + 57 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + 4b45?\nAnswer: 4b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3123064 is divided by 4586?\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 589 + -348. What are the prime factors of d?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2717 and 858?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/3, -1, -0.1623, 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 2.217 (c) -2 (d) 2\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3104220 - 10?\nAnswer: -3104230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4762*i**3 - 12647*i**3 - 9683*i**3.\nAnswer: -27092*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/6 + -3)*-911. Let h = a - -299. Which is greater: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:22 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 12, d: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*f + 8, 0 = 6*f - 2*f + 4*p + 8. What are the prime factors of 9 - (1 + f) - (-5 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 94.43. Let a = 492 + -494.43. Let g = n - a. What is the smallest value in -2, g, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13502014837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7436.003mm?\nAnswer: 7436003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*y**2 + 349*y**2 + 459*y**2 - 1164*y**2.\nAnswer: -77*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(80))**2 + 3).\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103239569.\nAnswer: 3943, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -72*t**2. Let j(h) be the first derivative of -h**2\/2 - 1126. What is j(z(x))?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19564196101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -34. Put f, 3, 4.1, -2\/5 in ascending order.\nAnswer: f, -2\/5, 3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33056, 29931, 21454, 4949, -22260, -62849, -119494, -194871?\n\"Answer: -446*k**3 - 3*k + 33505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 388*m + 2770. Let a be b(-7). Solve -c - a*o + 32 = 0, 3*c - 5*o + 0 = -24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21a8 + 14?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvg when four letters picked without replacement from vevvgmgvevgvvgvvvgv?\nAnswer: 275\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -1\/6, -1465, -0.34, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49778*f*t**3 - 477*f*t**2 + 2*f*t - 18*t**3 + 3*t**2 - 297604 with respect to f.\nAnswer: 49778*t**3 - 477*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 50a4?\nAnswer: 50a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j**2 - 12*j**2 + 2*j - 18*j**2)*(4*j - 3 - j - j) to f*j**3 + s + q*j + p*j**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/28 and 2\/(-12)*-15 - (-38)\/(-56)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8*x = 3*x + 32665, 0 = -4*y - 18*x + 130654. What are the prime factors of y?\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1550 + 419*n - 215*n - 206*n. Let g(v) = -3*v**2. What is g(a(t))?\nAnswer: -12*t**2 - 18600*t - 7207500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:32 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9)\/(21\/(-84)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -132, -4 in increasing order.\nAnswer: -132, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**3 + 4*y**3 + 14*y**3 + (18*y + 2*y - 4*y)*(3*y - 3*y - y**2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1341 (base 5) to base 2\nAnswer: -11011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19599717 take away 8861?\nAnswer: -19608578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4643 + 4643. Put w, -1\/14, 0.28, -2 in ascending order.\nAnswer: -2, -1\/14, w, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**2 + 13*t**3 - 14*t**3 + 12*t**2 - 6*t**2 in the form s*t**3 + a*t**2 + m + n*t and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjjpjpj. Give prob of sequence pj.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495922993 by -1.\nAnswer: -495922993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/873 (b) 0.1417 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 7, n: 3, y: 3, v: 2}. Give prob of sequence vn.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1)\/(144\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 8*h + 1, -3*c = -5*h - 173. Suppose -168 = -5*s - 9*s. What is the remainder when c is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1944.198 rounded to the nearest ten?\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 647, 1824, 3897, 7112?\n\"Answer: 41*p**3 + 79*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5551.12t?\nAnswer: 5551120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 6. Let z be q(16). Suppose -15*n + z = 12. Solve n*x + 2 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332206?\nAnswer: 2, 7, 61, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 1788 + 207 - 491 - a**3.\nAnswer: -a**3 - 2354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x - 109*x**2 - 92*x**2 + 294*x**2 - 92*x**2 + 84*x**3 as h*x**3 + f + n*x + s*x**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = 7*w - 2*w. Let l = w - 84. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11144727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 15. What is the least common multiple of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6097330 to the nearest ten thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*j + 1584*j - 88*j - 60*j + 51420 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 94, 0.11 in ascending order.\nAnswer: -1.4, 0.11, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7022 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13505*s + 67682. Calculate r(-5).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 - 966*b**2 + 131*b + 18077. Calculate t(-138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1266264 and 688.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**2\/o))**37\/(o**(3\/4)*o**(2\/19)\/o)*o**(-7)\/(o**(-5)\/o)*o**(-5)\/(o\/(o\/(o*o**5))*o) assuming o is positive.\nAnswer: o**(-3789\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2*p + 0*p + (6*p + 5*p + 0*p)*(25 - 7 + 12) to b + w*p and give w.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.7057?\nAnswer: -3.5285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -4. Let y(i) = 93*i + 13. Let d(o) = 249*o + 42. Let l(j) = 3*d(j) - 8*y(j). Determine l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2003 + 3262. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -67?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 411*y**3 - 410*y**3 - 4 + 7*y**2. Let r be (10\/(-4))\/((-2)\/(-4)). What is k(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 111*s - 2. Let o(m) = 43*m - 1. Let x(z) = 2*h(z) - 5*o(z). Let g(i) = -i. Give 6*g(v) + x(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 27*t + 86. Let q be a(-22). Put 2, q, 0 in increasing order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*k = 713 - 361 + 497 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 38. Let a = y - 80. Solve -a - 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavavv. What is prob of sequence vva?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5419 = -14*f + 2239. Suppose -v + 2*w = -610, -v + 5*w = -63 - f. List the prime factors of v.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*l**2 + 5 + 0*l**2 - 17 to the form q*l + f + h*l**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 93*-7.03308\nAnswer: -654.07644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 - 7*x + 14. What is the remainder when 143 is divided by i(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-3360) + ((-6)\/45 - 0). Let r = -188.9 + 189. What is the closest to l in 3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = -5*a, -u - 13 = 3*a - 6*a. Let v = 6 - a. Suppose -v*m = -3*m + 12. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2352, 3, -9 in ascending order.\nAnswer: -2352, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15*p**2 + 2*p - 9. Let y be r(16). Let g = y + 159. Let n = -87 - g. What is the third smallest value in 2\/15, -0.5, n, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -905 + 249. Let l = -162 - s. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-83)\/166)\/((-2)\/6940)?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 31 - 9. Suppose -p + 15 = j*p. Suppose w = -4*z + 745, 0*w + p*w - 4*z = 2203. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 + 74*h**2 + 76)*(240*h**3 - 55*h**3 + 43*h**3).\nAnswer: 16872*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3173306 + 644?\nAnswer: -3172442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from ddddhbktddehbtd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4 + 769*r**3 - 261?\nAnswer: -4*r**3 + 2307*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 25 = 4*h. Let l be (-4)\/(-14) + 90\/(-70). Calculate the lowest common multiple of 4 and (-2 - 1 - l)*h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 7*i - 27. Determine l(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3357)\/(-24) + (6\/(-16))\/(-3). Calculate the highest common factor of 28 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 518702423 - 518702423.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(72)*-4.\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 336, 50\/9, -2, 4 in ascending order.\nAnswer: -2, 4, 50\/9, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12542 - -0.208.\nAnswer: 12542.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(4*r - 2*r + 3*r) + 3*r - r + 0*r + 4*r + 3*r - 6*r + (-1 + 1 - 2*r)*(-2 + 4 - 1) - r - 4*r + 4*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 9*o - 3. Let s be r(-6). Let p(t) = t**3 - 15*t**2 + 5*t - 7. List the prime factors of p(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-135)*2\/(-80)*6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 < 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 12309.24752398?\nAnswer: -12310.24752398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhhh when four letters picked without replacement from rkhrrrhhrkrrk.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5130401311 - 0.20272?\nAnswer: -5130401311.20272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14461261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 14*h - 24 = 0. Solve 0 = 4*f + 4*v, 0 = -f + h*f + 4*v - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c3412 (base 13) in base 10?\nAnswer: 1463893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 348*f - 357*f + 128 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -245*c**3 + 4*c**2 + 2*c - 2. Let x(d) = 4165*d**3 - 70*d**2 - 35*d + 35. What is 4*x(r) + 70*z(r)?\nAnswer: -490*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-2) - 244972\/(-52).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14\/(-4)) + 39\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -706, -1715, -3028, -4645, -6566, -8791?\n\"Answer: -152*j**2 - 553*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5304541*s + 1305190 wrt s?\nAnswer: -5304541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -549556?\nAnswer: -109911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 540 = 82*y + 82*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 + 5*w**3 + 8*w**2 + 14*w + 12*w - 6*w**2 wrt w.\nAnswer: 18*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 33 = 8*a. Put -14, -5, a in descending order.\nAnswer: a, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/1*1\/(-2). Let n = 10 + q. Let f = -94 - -94. Which is the closest to f? (a) -3\/4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 2*z + 2. Let k(t) = t**2 - t + 1. What is c(g) - 4*k(g)?\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1391 and 21058349?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. What are the prime factors of (-168)\/(-2 - t) + -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 249?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 38975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/13*t**5 + 184\/13*t**3 + 246\/13*t**4 - 720\/13*t + 352\/13 - 1098\/13*t**2 = 0.\nAnswer: -4, -1, 1\/3, 11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18063 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -23*q**3 - 3*q**2 - 38*q - 10. Does 20 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**2 - 2 + 2\/21*g**3 - g - 3\/14*g**4 + 1\/10*g**5. Let h(q) be the first derivative of a(q). Factor h(f).\nAnswer: 2*f*(f - 1)*(7*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - (5*(1 + sqrt(252)))**2)) + (sqrt(252) - (sqrt(252) - 6*(sqrt(252) + 2)**2)))*-3.\nAnswer: -23583 - 1332*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6268886.\nAnswer: 2, 13, 17, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aabb when four letters picked without replacement from tttbttababttaubb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*((sqrt(135)\/(-2*sqrt(5)))\/(2*sqrt(225) + sqrt(225) - sqrt(9)))**2 + -5).\nAnswer: 5871\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25269*s + 25238*s. Solve 9*m - 12*m + 2*q + 13 = s, q + 11 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16489*t**2 + 4*t - 2 - 4*t + 16634*t**2 + 40 to the form f*t + m + z*t**2 and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1642\/539 - 20\/49. Find the common denominator of 149\/240 and l.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/6 + 2357*d. Let b(q) be the second derivative of -q**3\/2 + 7*q**2\/2 + q. Determine b(n(m)).\nAnswer: -6*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 21*g + 252 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -93*s - 1396. Calculate y(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose -40 = -3*r + 2*q + w*q, 3*r = -2*q + 5. What is the remainder when 14 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 200*k - 3072. Let v(f) = 12*f**2 - 2604*f + 39936. Let w(i) = 27*c(i) + 2*v(i). Solve w(p) = 0 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*z**3 + 22*z**3 - 25*z**2 + 293*z**3 + 22*z**2.\nAnswer: 411*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s*w**3*x**2 - 2*s*w*x**2 + 2*s*w*x + 3*s*x**2 - 560*w**2*x**2 - 5*w*x**2 wrt w.\nAnswer: 6*s*w*x**2 - 1120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27749 or -2371?\nAnswer: 27749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 404492 times 0.01\nAnswer: 4044.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.97364ml?\nAnswer: 0.00497364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38831300 to the nearest 100000.\nAnswer: -38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5792839725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1.6, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4861352.\nAnswer: 2, 607669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 18 + 0*g - 19 - g - 72*g**2 as a*g**2 + n + i*g + j*g**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54.1 + 60. Let z = -1.1 - c. Let d = 3 + z. Put -0.3, 0.2, d in decreasing order.\nAnswer: 0.2, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*r + 433*r = 0. What is the third biggest value in 0.4, r, 2, -0.1, 3.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -i - 4*r, -3*r = -i + r - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -695796 divided by -231932\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 43*a + 11. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y - 114*y + 63*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqppqppppqpqpppq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 - 12*x - 76. Let c(r) = -8*r**2 - 17*r - 113. Give -5*c(p) + 7*v(p).\nAnswer: -2*p**2 + p + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 1, e: 1}. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2. Suppose -4*w + 8*w = 8. Let b(i) = 4*i + i**2 - 4*i - 3*i**w. Determine b(n(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 767\/7 + (-8)\/14. Suppose c + 17 = 3*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + l = -4*l + 14, -m - 4*l = -22. Let y = -3 + m. Suppose 5*q + 5*k - 58 = 2*k, -q = y*k - 2. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -999311\/159 + 6285. Let g = -910\/1749 - k. Let x = 0 - -1. Which is the closest to 0.3? (a) 5 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170320 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1097607 rounded to three decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 97?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 402. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -7) + -3 + 2. Let x(y) = 5*y - 49. Let s be x(9). Let f = -22\/3 + 85\/12. What is the nearest to f in 1\/5, s, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*w - 182. Let h = 36 + w. Let q = h + 75. What is the remainder when q is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33917281*p**2 - 43778883?\nAnswer: -67834562*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(208) + 1 + (2*sqrt(156))\/sqrt(12) + (sqrt(13) + sqrt(117)*-2)**2.\nAnswer: 6*sqrt(13) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 32. Let f be o(12). Is f*(3346\/(-120) - 30\/(-225)) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 12bce26?\nAnswer: 12bce0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5482, -10958, -16430, -21898?\n\"Answer: 2*d**2 - 5482*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*o**3 - 268*o**3 - 165*o**2 - 74*o**2 + 73*o**2 wrt o.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3822\/17 or 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 3. Let q = -2 + -1. Let c(t) = 12*t + 5 - 4*t - t. Calculate q*c(z) - 5*v(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(816)*1 + (-3*2*sqrt(816) - sqrt(816)))\/((sqrt(1617) - -2*sqrt(1617) - sqrt(1617) - sqrt(33))\/(sqrt(44)*-6)).\nAnswer: 288*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*t - 22*t + 163 - 18*t - 23*t in the form k*t + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 3*r)*(3*r**2 - r**2 + 0*r**2)*(-2*r**2 + 0*r**2 + 3*r**2).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 573355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3090 + 4002. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 5080*c**4 + 3158746*c**3 + 85596628*c**2 = 0. Calculate c.\nAnswer: -26, 0, 1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260022 and 12382?\nAnswer: 260022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 - (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34457 is divided by 1566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6862321.\nAnswer: -6862318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5215 - 2020341?\nAnswer: -2030000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*q**3 - 34*q**3 - 29*q**3 - 156 - 47*q**3 + 5.\nAnswer: 2*q**3 - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9225 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296 - -384. Suppose -v = -k + 902. Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -39. Let l = m + -6. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, r: 9}. Give prob of picking 4 m.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.188 + 4.812. Let h = 6 - 5.7. Sort h, x, -2\/13 in decreasing order.\nAnswer: x, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005448 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -5, -2\/3, -24, 0.3, 10 in increasing order.\nAnswer: -24, -5, -2\/3, 0.3, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - (-11)\/(-121)*11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + t + 2. Let i(z) = z**2 + 1. Let c(p) = g(p) - 2*i(p). Let k(v) = v**2. Determine k(c(l)).\nAnswer: 36*l**4 - 12*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 9. Suppose -3*q = 5*d - 7, u*q = -0*q - 3*d + 17. Solve 3*r + 12 = -5*n, -11 = 4*n - q*r + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -25*i + 28. Let x be l(1). Put 4, 25, -5, x in decreasing order.\nAnswer: 25, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:22 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-42)*30 + (-135)\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 10) + 5 - 17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8 + 10 - 858*t + 7 + 873*t. Is r(8) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3124.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 3335?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -14 + (22 - 22) - 59\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 4*r**4 - 10*r**3 - 12*r**2.\nAnswer: 2*r**2*(r - 2)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -z - 3*z - 34, -4*z = -4. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -75*i**2 + 3*i - 552. Let b(c) = -25*c**2 + c - 184. Let j(p) = 17*b(p) - 6*y(p). What is the derivative of j(q) wrt q?\nAnswer: 50*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 8*s**2 - 4*s + 4. Let j be w(-8). Let y be 24\/j + 103\/3. What is the third biggest value in -0.2, 1, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 35 + (42 - 72).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2 - 23855861*x\/4 + 8945949\/2 = 0.\nAnswer: -5963966, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 14. Suppose 23 = 2*q + 3*t, 3*t = -6*q + q + 35. Suppose -q*f - 73 = -21. Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Suppose 4 = 4*n - h. Sort 2\/7, -1, n.\nAnswer: -1, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55527519788 minus 0?\nAnswer: 0.55527519788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i + 0*i**3 + i**3 - 8*i**2 - 5*i**2 - i + 15. Suppose f + 3*t = 2, -5*f - 4*t = -11 - 43. What is the tens digit of p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/15)\/((-2)\/63). What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let x = -6.3 + 6.8. Put b, 2, x in decreasing order.\nAnswer: 2, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*t + 2*k - 38, -2*t - 5*k = -26. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 959263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:30 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1275765189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3)*(-33)\/3. Let k = 16 - r. Suppose -103 = -k*o + 77. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32640291262655 and -4.\nAnswer: -32640291262659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033491?\nAnswer: 3, 344497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/11 + 2704*z\/11 + 738720\/11 = 0. Calculate z.\nAnswer: -972, -380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, -2*t + 3*b - 7 = -4. Suppose -390 = -t*a - 13*a. Is 29 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + -8)\/(1 + 0). Solve 7*b - 7 = -s*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 278*g. Let c(t) = -1004*t - 54. Calculate c(i(k)).\nAnswer: -279112*k - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 217 = 6*z - 3*z, -a = -3*z - 43. Calculate the greatest common divisor of a and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 2233.\nAnswer: -4\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h - 56*h - 29 - 35 + 5 with respect to h.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170499 and 39537?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22621 (base 13) to base 6\nAnswer: -1201341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (576\/(-240))\/(7*(-2)\/(-35))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -1 - (7 + -1). Let y = 197788 + -197787.8. What is the fourth biggest value in -0.5, y, 0.043, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 3*r + 33*r + r - 51.\nAnswer: 37*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.86 + -80.86. Suppose -5*q + b + 58 = 0, 3*q - 40 = b - 3*b. Suppose t = 5*t + q. Sort -1, t, y.\nAnswer: t, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4)\/p*p)**42\/((p\/p**21)\/(p\/(p**9\/p))))**32 assuming p is positive.\nAnswer: p**2096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*c + 28, 0 = 2*c + c + 2*o - 20. Solve 0 = n + 2*y + c, -15 = 4*n - 2*y + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqkr when four letters picked without replacement from {j: 3, r: 3, w: 4, z: 4, k: 4, q: 2}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-12)*(-48)\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and ((-8)\/10 + 432\/(-60))*-2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/6 - 2*h**2 - 2*h. Let v be s(4). Let m = -14 + v. Solve -2*j + m = r + j, -3*r - j + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*m**6 - 9*m**5 + 24*m**6 - 1301*m**2 - 60*m**5 - 11*m**6 wrt m.\nAnswer: -960*m**3 - 4140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 + 3. Let n(k) = 6*k**2 - 2*k + 31. Give n(s(r)).\nAnswer: 486*r**4 + 306*r**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/2*(-7024)\/300276.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 + r - 2. Let u be d(4). Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 358*p - 108108. Determine v(302).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 329*w**6\/60 - 547*w**5\/60 - 933*w**2. Find the third derivative of i(z) wrt z.\nAnswer: 3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + c**3 + 3*c**3)*((-7 + 2 + 3)*(4*c - 2*c + 0*c) + 0*c - 3*c + 2*c + 0*c - 2*c + 0*c).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i**2 - i + 2. Let w(b) = -708*b**3 - 531*b**2 + 531*b - 1062. Calculate 531*n(l) + w(l).\nAnswer: -177*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 24*c**2 + 4*c + 2. Let m(s) = 2*s - 4 + 0 - 9 + 0. Let l be m(6). Calculate the remainder when 59 is divided by o(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*j - 15443, 5*d + 4989 = -5*j + 20444. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 1, s: 3, v: 3, p: 2, b: 3}. What is prob of sequence sbpg?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 4*m - 2. Let s be y(-4). Let b be 0 - -1*(3 - 2). Put s, b, 5 in decreasing order.\nAnswer: 5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - 66. Let c(q) = -q + 1. Determine -b(d) - 6*c(d).\nAnswer: d + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 5*r - 2. Calculate the lowest common multiple of w(-4) and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:42 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 - 9*k + 13. Determine b(9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*u**5 - 8579*h*u**4 - 4450*h*u**2 + 18*h*u wrt u?\nAnswer: -60*h*u**2 - 205896*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39615.09 + -39615. Which is the closest to -4? (a) 0.1 (b) l (c) 0.01 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) - (0 + sqrt(176))**2.\nAnswer: -176 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4860754 to the nearest integer?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-12 + -25 + 17)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23508 is divided by 23400.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) -1 (c) 0.786 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/172 and -65\/28.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6842 is divided by 104?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 27 = 4*v, 2*l - 89 = 22*v - 17*v - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 19 - 11. What is the hundreds digit of ((-270)\/80)\/(-9) + 2405\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d + q + 4*q, -5*d = 4*q - 14. Suppose 1 + 3 = d*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4383626.\nAnswer: -13150878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + (-6)\/(-8). Let l be (-143)\/(-242) - i\/2. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*h**3 - 850*h**4 - 78*h**2 + 424*h**4 + 432*h**4 + 1488*h**2 wrt h.\nAnswer: 144*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = 2*d. What is the tens digit of (42\/49)\/((-1)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8*x = 143. Let y be (-5 - -9 - x) + 1. Sort -2, -4, y in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/10 + 7*l**4\/6 - 8*l**3\/3 - 16*l**2 - 2*l - 14. Factor k(i).\nAnswer: -2*(i - 4)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 - 81*o - 1004. What are the prime factors of p(-43)?\nAnswer: 2, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/2 - 2\/(-4). Suppose -4*g = -2*a - 356, -5*g - a - 101 + 539 = 0. Is (-1)\/t + 8514\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 166*j - 2. Suppose -4*o = -r - 3*r - 48, 0 = r + 3*o + 16. Let c be y(r). Round c to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000843334 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*l**2 - 2*l**2 - 118*l**2 - 132*l**2 + 56*l**2 in the form d*l**2 + x + u*l and give d.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(3\/7)*v*v)\/(v**(11\/3)\/v) assuming v is positive.\nAnswer: v**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(2*a**2 + a**2 + 0*a**2) - 2*a**2 + 3*a - 3*a)*(-4*a - 5*a + 2*a).\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 290\/(-40) - (-14463988)\/16. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.08 + -0.08. Which is the third smallest value? (a) 9 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5236 and 16\/33.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 70.25898.\nAnswer: 66.25898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*s**4 + s - 1.\nAnswer: 2460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 12) in base 3?\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008932 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3259?\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5059707 divided by -6\nAnswer: 1686569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -73, -3*n - 666 = -2027396*v + 2027387*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 12*m - 1320. Suppose -m = 5*n - 0. Let a = n + 104. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16027 is divided by 313?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 18, -15, -559, 5, 1.\nAnswer: -559, -15, -5, -3, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let m be ((-1 + 0)\/(-1))\/((-58)\/348). Let c(r) = 11*r - 15. Let f(g) = -11*g + 18. Let b(y) = m*c(y) - 5*f(y). Determine s(b(l)).\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150968*j*v**4 + 16*j*v**2 - 2*j*v - j + 15*v - 2054 wrt v?\nAnswer: -1811616*j*v**2 + 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160886682 and 47670128?\nAnswer: 1287093456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 8*t - 2*t - 6 + 0*t. Let a(k) = 3*k + 3. Give -5*a(b) - 2*p(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-77) - 57\/(-11). Suppose 5*h + 5 = -5*v, 17 + 5 = d*h - 4*v. Suppose 4*c + 10 = -h, 4*c + 73 = r. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l - 15 + 299 = 0. What is the closest to 0.06 in l, 2\/15, 1\/5, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:06 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 2. Let j(n) = 2*n - 16. Suppose -9 = 5*b + 16. Let g(r) = b*s(r) - j(r). Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2 + 4*n**2 - 2*n**2 - 1 - 4*n. Let t be ((-2)\/(-2))\/(1\/4). Is 5 a factor of h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 1.4. Let n = -46 - -49.9. Let m = n + -4.2. Put 0.2, m, j in ascending order.\nAnswer: m, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s + 1. Let p(u) = 16*u**2 + 5*u + 6. Let d(l) = 11*o(l) - 2*p(l). Let j(x) = -x - 7. Let q be j(-9). What is d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/15968 and -37\/32.\nAnswer: 15968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 49*z + 37. Let w be n(-22). Find the first derivative of 19 - 170*x - 126*x + w wrt x.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let q = 32 + -32.1. What is the closest to q in c, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 36 + 3*d - 4*d - 47 + 0*d. Calculate a(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 + 1.4. Let z = 11 - y. Let r be -2 - (-2*2 + 2). What is the biggest value in z, 2, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 6*k**2 - 4*k - 3. Let s(f) = 2*f**3 + 12*f**2 + 7*f + 7. Let z(n) = 7*d(n) + 4*s(n). Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1 + (-1 - 1 + 3)*(0 - 2 + 4) - 10 - 18 - 1)*(4853*w - 2*w**2 - 3*w**2 - 4861*w) to c + o*w**2 + n*w and give n.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 42*k + 186. Determine s(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*c - 1769*c - c**2 + 885*c - 5033*c**3.\nAnswer: -5033*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -572.4628 - -571. What is a rounded to 2 decimal places?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47568\/4259 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y. Let w = -6 - -7. Let g be l(w). Suppose g = -6*h + 11*h. Sort 2, h, -1 in descending order.\nAnswer: 2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -5617*a**8\/336 - 5*a**4\/24 - 65*a**3\/3 - 746*a**2. What is the second derivative of q(t) wrt t?\nAnswer: -112340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-105) + -1 + 411\/15. Suppose 0 = k*d - 102 - 3616. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 21*z**4\/4 - 27*z**3\/4 - 123*z**2\/2 + 18*z = 0.\nAnswer: -3, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 8 - 2*o**2 - 22.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 7*t + 2. Let a(r) = 6 + 103*r**2 - r - 3 - 102*r**2 - 2. Determine 4*a(n) - g(n).\nAnswer: -n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/7 + 12\/(-42). Let f be 1\/13*v - 925\/(-325). Suppose 2*m - f*m = 0, 195 = g + m. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7195178\/95 - -379282\/5. Let q = -38519\/342 + g. Calculate the common denominator of (0 - -1)\/((-8)\/(-34)) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357\/3*60\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 180*s**2 + 3972*s + 4148 = 0. What is s?\nAnswer: -61, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -16, -52, -102, -166, -244, -336?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51421.\nAnswer: 51421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/84 and 149\/766290.\nAnswer: 1532580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/77)\/(3230\/(-2261))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 7128*y - 4234032.\nAnswer: -3*(y - 1188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - sqrt(132)*-3*-2)) + sqrt(132) + sqrt(132)*3*2)\/((sqrt(11) + sqrt(55)\/sqrt(5))*-2 + -6*2*sqrt(11)).\nAnswer: -13*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1067\/8 + -132. Calculate the common denominator of i and 53\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((-13 - -45) + 27 + -50)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*o - 26, 3*o - 1 = 2*s - 6*s. Let b be ((-4)\/(-2))\/(5 - s). Differentiate 1 - 4 - b*f**3 + 0 with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-1)))**(3\/11))**(-14\/13))**13 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.2, 9.708, -3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 25 - 25)*(187 + 84 - 270 - 2337*t).\nAnswer: 14022*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123212322 + -331303?\nAnswer: 1122221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -4. Let u = -1 + s. Let a(m) = -2 - 3*m + 2*m + u*m. Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.2251 milligrams to grams.\nAnswer: 0.1232251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 90, 1\/3, -22\/9, 11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6504\nAnswer: 1\/6504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.8 and 68577.\nAnswer: -877785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 82*n - 172. Let b be (-28)\/7*(-2)\/8. Sort b, 19, n in descending order.\nAnswer: 19, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -1\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1578 = -220*i - 8102. Are i and -41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8) - (-4)\/250. Let h = q + -2\/125. Let t be 1\/(-4*2\/(-4)). Which is the third smallest value? (a) t (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7937547*x**2 + 6430481?\nAnswer: -15875094*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(12\/90). Let g = r + 10. Does 11 divide (7 + g)*10 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -17*b + 132. Determine s(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/3 - 46*y**3\/3 - 48*y**2 - 498*y. Factor w(g).\nAnswer: 4*(g - 24)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 4*p)*(1 - 5 + 2) - 46 + 13*p - 14*p + 5.\nAnswer: -3*p - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (-26 - (11 - 28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20134*s. Let w(j) = -140942*j. Let i(a) = 22*b(a) - 3*w(a). Let z(v) = v**2. Calculate z(i(p)).\nAnswer: 404894884*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6678 and 69642?\nAnswer: 487494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + -1.13. Let w = -15.37 + 10.37. Which is the closest to x? (a) w (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 59*p + 975. What is r(-19)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.687008 rounded to 0 dps?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (10 + -26 - 28) - (3 - -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2106, 36, 2 in ascending order.\nAnswer: -2106, -6, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 times -7845\nAnswer: -1247.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*((2 + 1 - 7)*(0*g - g + 0*g) - 5 + g + 5) to z + d*g and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:22 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, -13 in increasing order.\nAnswer: -13, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 479 + i - i - 485.\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3572 divided by 893.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.4, -3, -2\/5, -9, 3.215?\nAnswer: 3.215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.425 - 210.575. Let g = 211.00091 + q. Round g to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 16, -6, -48, -116?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*sqrt(11)*-2 + (3*(sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*1))))\/sqrt(9).\nAnswer: -3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 28*b - 19*b + (0*b + 1 + b - 2*b)*(1 - 1 + 1) - 4*b + 24*b - 2 + 1.\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42772 and 1666.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 18*d + 20*d + 26*d. Solve 15*i - 8 - 7 = d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**3\/6 + 5*n**2\/2 - 28*n. Give a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5735 is divided by 2342.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/163, 2.6, -3, 0.5, 1?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l - 69. Let h be u(4). What is the second derivative of -20*p - 5*p - 1 - 2*p**h - 15*p + 104*p**2 - 91*p**2 wrt p?\nAnswer: -12*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.954589l to millilitres.\nAnswer: 1954.589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11992 + 35591. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 7. Suppose -3*p = -4*x - 7, 0*x + 22 = 4*p + x. Let z be v(p). Find the second derivative of -11*g**3 + 0*g**z - 4*g**3 + 7*g**3 + 9*g wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2*d - 10. What are the prime factors of o(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxttttt. What is prob of sequence txt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 1\/4, 0.1, -0.16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.652 - -4.348. What is the biggest value in -53, y, -2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8346 is divided by 1390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23237 - 23236.8. What is the third biggest value in 1.86, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*s = 16, 5*q + 2 = -2*s - 2. What is the units digit of 3\/q - (-82)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 87*w + 1427. Calculate the smallest common multiple of q(-19) and 744.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -541*v**5\/30 - 2*v**3\/3 - 14*v**2 - 11*v + 3. Let m(n) = n**2. Determine t(m(b)).\nAnswer: -1082*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 22*z + 59. Calculate p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*u + 521*u + 15 - 13 - 1033*u.\nAnswer: 23*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*w - 3*w + 36, -4*w - 91 = 5*q. Let y = q - -31. What are the prime factors of y\/(-6)*(-201)\/6?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4. Let l be t(3). Let s = -164 + 164.58. Let n = -16.42 - s. Which is the smallest value? (a) n (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40028513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)\/(g*g**(1\/16)*g)*g**9*g*g*g*g**1 assuming g is positive.\nAnswer: g**(859\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143139607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/(8\/(-6) - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 4 + -14 + (0 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 165\/(-100). Is y greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 52 in ascending order.\nAnswer: -8, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 1, r: 1, p: 2, m: 1}. Give prob of picking 1 b, 1 m, 1 i, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*j**5 - 6747896*j**3 - 278192386*j**2 + 2?\nAnswer: 840*j**2 - 40487376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.74, 4, 4794 in ascending order.\nAnswer: -6.74, 4, 4794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*(-28)\/(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40661 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.07 - -0.07. Let b = 14.5 + u. Let v = 5.4 - 5. Put b, -3, v in increasing order.\nAnswer: -3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197.815 + 233.46. Round t to 1 decimal place.\nAnswer: 35.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150822000 to the nearest one hundred thousand.\nAnswer: 150800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -13*c + 56. What is the highest common factor of 3535 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**4 - 10*r**3 - 20*r**2 - 6*r**5 - 18 + 22*r**3 + 4*r**5 - 42*r.\nAnswer: -2*(r - 3)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170948012983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 - -277. Suppose -5*p + 2*m + 8544 = 0, u*p + m + 4*m - 3435 = 0. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 195109 + 2a?\nAnswer: 195136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 7) + -16 + 12 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/415, 0, 0.3, -4, -2 in increasing order.\nAnswer: -4, -2, 0, 4\/415, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101339, -101337, -101335, -101333, -101331, -101329?\n\"Answer: 2*b - 101341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 7 + 21. Suppose 9 = -5*o + 2*o, 2*o = -i + 2. Suppose -i*n = -g*n - 27. What is the remainder when 107 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/120 - h**5\/10 + 5*h**4\/24 - h**3\/3 - 2*h**2. Let g be c(5). Is g\/2 - 5724\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 334, 513, 814, 1237?\n\"Answer: 61*o**2 - 4*o + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-7)\/4) + 9. Solve -3*z = z - v*t, -12 = 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43883.\nAnswer: 7, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 5\/2 (c) 2 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.52, 3, -0.1.\nAnswer: -0.52, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86181302 divided by 43090651\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*t - 376, -355 = 36*t - 39*t + 2*c. Which is smaller: t or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3811 + -110011?\nAnswer: -113822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s**2 + 23*s**2 + 4*s**2 + 20*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(170) - (sqrt(170) + -5*(sqrt(170) + 2*sqrt(170))))\/(sqrt(110)\/(sqrt(11)*4)) + 3).\nAnswer: -60*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*r - 652 = -2576, 0 = -5*r. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-53 - 1)\/((-2)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 0*z. Which is smaller: z or 3\/22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 + -4.47. Let m = 5 + n. Let a = -1.2 + m. What is a rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.67 - 36.87. Which is the second smallest value? (a) 3 (b) x (c) 1278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Suppose -2*k + 5 = f*k. Let r(c) = 24*c. Is r(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*k + j - 22, -k = -5*j + 15. Suppose 2*u - 422 = 10. Suppose 4*s + u = -w + k*w, -5*w + 4*s = -267. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34063*j + 299 = -34022*j + 1980 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 4*u**2 + u**2)*(9 - 9 - 4*u)*(-4 + 4 + u) in the form f + z*u + k*u**3 + w*u**2 + r*u**4 and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*1)\/(sqrt(12) + 6*sqrt(24)\/sqrt(2)) - ((2 + sqrt(33)\/sqrt(3) - (sqrt(1584) - -2*sqrt(1584))**2) + 3).\nAnswer: -6*sqrt(11)\/7 + 14251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - 4*h - 88. Let m(z) = -z**2 + 1. Let x(l) = 3*m(l) + n(l). Is 26 a factor of x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159433243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Suppose -i - 1 = 0, -5*p = -w*p - 4*i - 109. Suppose -6*v = -v - p. Calculate the highest common divisor of 63 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171691?\nAnswer: 13, 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 262144481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 5*i**3 - 2 + (i**3 + 0 + 0)*(-3 + 3 + 1) - 156*i**2 - 3*i - 158*i**2 + 318*i**2 - 18*i**3 + 22*i**3.\nAnswer: 10*i**3 + 4*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -297658, -1190645, -2678956, -4762591, -7441550, -10715833?\n\"Answer: -297662*o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7024731 is divided by 540363.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 11*b**2 + 7. Let c be u(-11). Suppose 0 = -c*n + 3*n - 9*n. Suppose 5*p - 12 = p. Solve -5*k - p - 17 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, 244, 564, 884?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 243*b - 8685. Give k(36).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290288387?\nAnswer: 16519, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/896 and 79\/3808?\nAnswer: 15232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 2*z**2 - z**2 + (-39*z**2 - 2*z - 34*z**2 - 178*z**2 + 1)*(1 + 1 + 1)*(-13 + 2 + 3) to x + q*z + l*z**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 859782.5 years?\nAnswer: 10317390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 3. Suppose i = 2*b - b. Find the third derivative of -8*q**4 + 6*q**2 + 9*q**2 + 4*q**4 - b*q**2 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**0*t)*(t\/t**(1\/5))\/t*t)\/(t**(-21)\/t**(1\/8)) assuming t is positive.\nAnswer: t**(837\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10152199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g + 60. Let i(k) = 3 + k**3 - 11*k - 8*k**2 - 4 - 2*k**3 - 5. Calculate the remainder when i(-7) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*h + 3 = 0, -f - 2*h = 3*h - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.09 + 1.47. Let t = y - -0.22. Let l = -22 + 22.5. Which is the nearest to l? (a) t (b) 4\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 820130847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 18*z**2 - 4*z**2)*(-3*z**2 + z**2 + 3*z**2) + (17*z**2 - 21*z**3 - 17*z**2)*(2*z + 2*z - 2*z).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261 - 261 - 33*y**2 - 2*y**3 to the form g*y**2 + c*y**3 + a*y + w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2170 and 50309?\nAnswer: 15595790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/120 + 2*v**5\/15 + v**4\/12 + 11*v**3\/6 + 4*v**2 - 26. Determine f(9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 15 = -3*x. Let b be 1\/(-1) - (0 - x). Solve 8*c - 20 = b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 33*3\/9. Do u and 14 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 473*q + 24315. Give t(-161).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 2. Suppose -1 = 2*f - a, 5*a - 18 = -3*f - 13. Let m be b(f). Sort 2, m, -1, 0 in increasing order.\nAnswer: m, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -121 - 257?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -630, -2137, -5068, -9897, -17098, -27145, -40512?\nAnswer: -57673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 16. Let g(s) = -s + 17. Determine 7*g(j) - 6*u(j).\nAnswer: -j + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/3)*v))\/v)\/v)**(1\/56) assuming v is positive.\nAnswer: v**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 8*o**2 + 6*o**2 + (-2*o + 2 - 2)*(5 + 2*o - 3 + 1).\nAnswer: -5*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 109\/4 (b) -52 (c) 3 (d) 2\/3 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*n**4 + 38980*n**3 - 322216*n**2 + 555248*n - 133248 = 0. Calculate n.\nAnswer: 2\/7, 2, 6, 2776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15. Suppose s*p - p = 8. What is the least common multiple of 9 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*k + 659*k - 39*k + 168*k + 25194 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 - 4*h + 14. Let g be y(7). Let v = 63 + g. Is v greater than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 88 = -2*s + 21, 3*s - 5*f - 173 = 0. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292 > 3472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(1288\/48))\/((-12)\/(-21))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 1. Suppose 45*t - 16 = 21*t + 5*v, 5*t - 11 = 2*v. Let o(s) = 4*s**2 - 8*s + 12. Determine t*o(j) - 12*c(j).\nAnswer: -4*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 9825241.527887.\nAnswer: 9825242.527887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-2)*139612\/(-22211)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639185, -2556762, -5752727, -10227080, -15979821, -23010950, -31320467?\nAnswer: -40908372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/7 (b) -0.4 (c) -477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + (9 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13\/4)*z)\/(z**(-32)*z*z) assuming z is positive.\nAnswer: z**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**1)*u)\/(u*(u\/(u**(-3\/4)*u))\/u))\/(u*u**(-6)*u*u*(((((u\/(u*u**(-6\/5)))\/u)\/u)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12300 - 12286 = 7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -12)\/(7\/(-21)). Suppose -2*y + 110 = 3*y. Calculate the greatest common divisor of w and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206304404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16729773*y**3 + 11099*y**2 + 2*y - 164.\nAnswer: -100378638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-630)\/1155)\/((-2)\/9812) is divided by 129.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7054*d - 98573. Determine f(14).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232020 - 5?\nAnswer: 232011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693756?\nAnswer: 2, 3, 7, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-39 - -27) + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/60 - n**4\/24 + n**3\/6 + 15*n**2 - 6*n. Let v(h) = -5*h**2 + h + h - 4 + 1. What is 4*a(f) + v(f)?\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let s = 4825\/2 - 2412. Let q(l) be the first derivative of 0*l + 13 - s*l**2. Calculate q(n(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/72 and -11\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 7, -2 in ascending order.\nAnswer: -2, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 15*j - 13*j + 15 = -26*j - s, -2*s = -4*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 3)\/(2\/(-8)). Let n = -59 + 137. Let q be s\/n*6\/(-4). Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + -3 + (7 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 975170340 divided by -1805871?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7808 and 4010323.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13129273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 + 365*l**3 + 124177*l**2\/2 - 1651260*l + 10233288.\nAnswer: (l - 12)**2*(l + 377)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12443, 12436, 12423, 12404, 12379?\n\"Answer: -3*w**2 + 2*w + 12444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - v = -2*n + 4, -193*n + 194*n - 8*v + 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12248*a**2 + 4*a + 3948. Let v(j) = -6123*j**2 + 2*j + 1976. Let h(u) = 6*g(u) - 11*v(u). What is the second derivative of h(p) wrt p?\nAnswer: -12270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 + 899*w - 2746. Determine l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-45)\/(-56127)) + (-4)\/(-6). Let t be -626*1*6\/3. Let x = r - t. Calculate the common denominator of 31\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/176, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7135 at most as big as -7135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9897*a + 5105*a + 4829*a.\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494242 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5436, -16, 5, 3, -6, 2 in decreasing order.\nAnswer: 5436, 5, 3, 2, -1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**2\/2 + 6*h + 103. Determine r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116723\/20 - -5832. Find the common denominator of f and 69\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1066971 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*105\/14. Suppose -3*n + n = -f. What is the second derivative of -3*h**5 - n*h**2 + 5*h**2 - 3*h wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -1022?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:32 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2) - 20\/40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3538, -3533, -3528, -3529, -3542, -3573?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1750 and -79\/104270?\nAnswer: 18247250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (1\/(-1) - (-10)\/30)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u - 118. Determine a(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1402414 (base 5) to base 13\nAnswer: -cc71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b**(3\/10)*(b**(-2\/5))**(1\/6))**(-2\/33) assuming b is positive.\nAnswer: b**(-37\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*v + 139*v = -230*v + 31356 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)\/h**(-2\/3)*h**(1\/5)\/h**(2\/33))**(5\/7) assuming h is positive.\nAnswer: h**(367\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -374, -381, -386, -389, -390?\n\"Answer: d**2 - 10*d - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 86, 24, -17 in decreasing order.\nAnswer: 86, 24, 2, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 31*p - 2800.\nAnswer: (p - 112)*(p + 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 2455 = -500*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -512297 and -512318 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Suppose -i + r*f = 5, -f = -0*i - 4*i - 1. Suppose -26 = -4*q - 5*k, i = -2*q + 4*k - 2*k + 22. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 + -2 + 13. What is the greatest common divisor of w and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 175. Let l be 4\/26 - 600\/p. Solve -2 - 4 = -r + 2*x, 0 = l*r - 3*x + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 4*v, 5*t + 11 = v - 0. Let r be (4\/(-10))\/v + 63\/45. Let g(l) = -23*l. Give g(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121248, -242473, -363700, -484929?\nAnswer: -606160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17628 + 63761. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/2)\/(6\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(42)\/(1*sqrt(18)\/sqrt(3)))**2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (12 + 4)) + -13 + 12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 + 188. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 528 and 0.566.\nAnswer: 528.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.355*-2.364\nAnswer: -0.83922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p. Let k(v) = 2*v**3 - 6*v**2 + 6*v. Let c = -9 - -23. Let r = 10 - c. Let x = r - -3. Calculate x*k(w) - 6*n(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 277 = -1531. Let c(k) = -k**2 - 14*k - 2. Let i be c(-11). Let j = o - i. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -294*y + 5218. What is q(18)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 30*m**2 + 2855*m + 140. Let b be z(-46). Find n such that -2*n**5 + 42*n**b + 112\/3*n - 38\/3*n**4 + 8 + 2*n**3 = 0.\nAnswer: -6, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/d)**9)**(-7\/4)\/((d*d**6*d)\/d**(2\/13))**(-9) assuming d is positive.\nAnswer: d**(18783\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155771*f - 155759*f + 3*g + 42, 4*f - 5*g + 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -7. Let j(h) = h - 1. Let x be j(s). Let z(p) = -p**3 + 6*p**2 - p - 1. List the prime factors of z(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a - 24*a - 1 + 65*a + 1.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 962778091 to the nearest integer?\nAnswer: 31029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10 - (10 + -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -30*r**3 - 501*r**2 + 152*r - 22. Calculate l(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 14 + -5 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -7, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 7*b**4\/24 + 2*b**2. Let d(s) = 33033*s - 104. Let u(y) = 6670*y - 21. Let o(l) = 21*d(l) - 104*u(l). Calculate o(w(r)).\nAnswer: 91*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*j**5 - 8*j**5 + 0*j**5 + 47*j**5 + (-j**4 - 3*j**4 + 2*j**4)*(0*j + 0*j + 2*j) - j**4 - 12*j**5 + j**4.\nAnswer: 52*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 2*z - 77. Suppose z = 4*t + 4. Let y = -15 + t. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922411 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -3) + (35 - 42).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 143 = -1. Let s(o) = o + 6. Suppose 3*w + 2*a - 25 = 0, -w + 2*a - 3 = 2. Let y(j) = j + 5. Determine t*y(b) + w*s(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2.3 (c) 3 (d) 5 (e) 0.084 (f) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1941 - 79585\/3882. Find the common denominator of -5\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/10 - (-68)\/(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 71, 158, 321, 584, 971?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.4 (c) -0.06 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/294)\/((-3)\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22419 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91.09, 1.129, 1 in decreasing order.\nAnswer: 1.129, 1, -91.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3 + -2 - ((-10100)\/(-48))\/101?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793.18 take away 0.068482?\nAnswer: -793.248482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**2*l**3 - 23*c**2*l*w - c*l**2 - 883*l**3*w - 6*l**3 - l**2*w - 15*l*w - 22*l wrt l.\nAnswer: 42*c**2 - 5298*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1337 + 1336.8. Let o(p) = p**3 - 7*p**2 + 7*p + 2. Let d be o(6). What is the third smallest value in d, 3\/5, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -929 + 925. Sort -0.7, -1\/3, u in increasing order.\nAnswer: u, -0.7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.93 + 1.14. Round u to one dp.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17224936*l**2*r**2 + 5*l*r**2 - 999*l*r - 6*l - r**2 - 3*r - 2 wrt l.\nAnswer: -34449872*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-500)*(-266)\/(-399)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411 (base 13) to base 14.\nAnswer: 10a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 718541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 216*r**3 - 3*r**2 + 4*r + 21. Let l(v) = -215*v**3 + 2*v**2 - 3*v - 15. Let f(g) = -3*l(g) - 2*x(g). What is the second derivative of f(w) wrt w?\nAnswer: 1278*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 29234*w + 86 + 28940*w.\nAnswer: -294*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94135\/7 - -13347. Let d = k + 101. What is the nearest to 0 in d, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 33. Suppose f = 6*u - 144 - 132. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1429*z**2 + 1858. Let r(i) = 1415*i**2 - 1860. Let k(l) = 5*d(l) + 6*r(l). Differentiate k(j) with respect to j.\nAnswer: 2690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 278 or 36782\/133?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4 - 14694*u**3 - 117399*u**2 - 190728*u - 88020 = 0?\nAnswer: -4890, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = -2. Let c(d) = -d**2 - d - d**2 + 4*d**z + 3. What is the units digit of c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 10*r. What is the tens digit of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 76*f**3 - f**2 - 3*f - 1. Let c be z(-1). Let n be c\/30*(-2)\/20. Determine b, given that 1\/4 + n*b**2 - 1\/2*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*x + 3100 - 3164, 0 = -f - 36*x + 1226 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.8 - 16. Which is the closest to 1? (a) z (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1213, -1045, -891, -757, -649?\n\"Answer: -y**3 - y**2 + 178*y - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 23*d**2 + 9*d - 9. Let h(o) = -o**2 - o + 1. Give 18*h(k) + 2*r(k).\nAnswer: 2*k**3 + 28*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167.9911 + 0.0089. Let g = 49 + z. What is the nearest to -1\/2 in g, -1, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -99. Sort -5, x, 8 in decreasing order.\nAnswer: 8, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20640, 20915, 21190, 21465, 21740, 22015?\n\"Answer: 275*l + 20365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 5 = 42*m. Solve 4*k + m*s - 2*s + 1 = 0, -k = 4*s - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 304, 472, 866, 1600, 2788, 4544?\n\"Answer: 19*h**3 - h**2 + 38*h + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 14. Let y = -16 + 16. Let p be o(y). Let k(i) = i**2 + 15*i + 19. Let z be k(p). Let t(g) = g**3 - 4*g**2 - 5*g + 7. What is t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -96, -98, -100?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k + 2. Let n be w(0). Suppose 0 = -3*q - n*i + 6, -5*i = -3 - 12. Suppose q = -4*v + v + 6. Solve -2 - 3 = -v*y + s, y - 4 = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 1\/5 (c) 1\/6 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 2\/32033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10) - (-11)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559517 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -6 + 21 - 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 1\/6*k**4 + 0*k**5 + 3*k**2 + 0 + 0*k**3 - 1\/24*k**6 + 0*k. Find the second derivative of o(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpf when three letters picked without replacement from fpfjjffwp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*c + 1 + 26, 9 = c - 5*g. Suppose 0 = 5*u + 4*w + 5 - 2, 0 = -4*u + 4*w + 12. Let r be (30\/(-12))\/((-1)\/2*u). Sort c, 3, r in decreasing order.\nAnswer: c, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 2 - 8*h**2 + 0 to x*h**2 + c + w*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13660102073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 + -8 - (119 + -121)) - -28?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335 is divided by 302?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -3, -1\/5 in increasing order.\nAnswer: -3, -1\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 6) + -4 + 7. Solve 2 = -2*q, -3*q + 9 = -i*p - 8*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l + 3*t, 0 = 4*l - 3*t - 2*t - 21. Solve -3*m - 18 = 5*i, 5*i + 20 = -l*m - m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-w**2 + 2*w**2 - 3*w**2) + 3 - 2*w**2 - 3 + 0*w**2 - 4*w**2 + 2*w**2 + (150952 + 4*w - 301097 + 151469)*(0*w - 2*w + 3*w).\nAnswer: -2*w**2 + 1324*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 + 5*r**2 + 21*r - 82. Determine a(5).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*u**3 - 14760*m**3 + 360*m**2*u**3 wrt u.\nAnswer: 3*m**3*u**2 + 1080*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 0.04328?\nAnswer: -1.2984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 953958*6\/9. Suppose 3*y + 1045969 = 4*y. Let o = y - i. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-3))*g)**(-7)*(g**(3\/5))**(-10\/3) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.931 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 97, 0, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 179 = l, -26*x = 4*l - 29*x - 688. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076.891 nanograms in kilograms?\nAnswer: 0.000000007076891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -8\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 229. Calculate the highest common divisor of l and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -2\/7, 2\/7, -1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(5\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 8 - 26. Suppose -5*n + 11 = i*h, 4*n = -4*h + 9*h - 11. What is the remainder when 18 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2175)\/58*15*368\/2070.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/2 + -461\/112. What is the common denominator of 91\/48 and k?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 8)*(-4*r + 5*r - 3*r)*(-6815*r + 6815*r + 16*r**4 - 15 - 3*r**2).\nAnswer: -128*r**5 + 24*r**3 + 120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -14a59?\nAnswer: 14a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1264, -2973, -4682?\n\"Answer: -1709*q + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) - ((-1*sqrt(108))\/sqrt(9) - sqrt(12))) + sqrt(121)\/(sqrt(11)*-2 + sqrt(11))*-1.\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043 + 517 + 526 + 2430*m - 7252*m.\nAnswer: -4822*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 33 = 13*y + 3*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785208847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, 0 = 3*x - l - 32 - 15. Suppose 2 - x = -3*k. Let w be (-2)\/7 - 96\/(-42). Solve -4*o - 1 = 5*t, -w*o + k*o = 4*t - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 + -2) - (0 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3741 - -1914071.\nAnswer: 1917812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhf when three letters picked without replacement from {d: 4, h: 3, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 38) + (1 + 0 - (-11 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15625, 31295, 47021, 62809, 78665, 94595?\n\"Answer: a**3 + 22*a**2 + 15597*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + z**2 - z)*(14*z - 10*z + 3*z) + (0*z + 2*z - 4*z)*(-2*z + 2*z + z**2) + z**3 + 4*z**2 - 4*z**2 + 20 - 20 - 10*z**3)*(0 + 2 - 3).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = 2*w, -4*w = 901*h - 896*h - 35. Solve 16 = 4*c, w*c - 49 + 9 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2\/9 + 224*q\/9 + 22540\/3 = 0?\nAnswer: -105, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 - 2*m - 18 - m.\nAnswer: -3*m - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143543466 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*r + 145*r = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20584 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j - 732. Calculate q(-63).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/5 (c) 6.3 (d) 13 (e) -190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 6. Let g be k(4). Let h(w) = w**2 - w + 2. Let u be h(g). Let f(r) = r**3 - 4*r**2 - r + 4. What is f(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/6 + 5*n**3\/3 - 11*n**2 - 12356*n. Calculate o(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3239221 or -1?\nAnswer: 2\/3239221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x + 0*x)*(3*x - 4 + 4) + (-4*x**2 + 5*x**2 - 2*x**2)*(-2 + 2 + 1).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 2*o**2 + o - 3. Let m be j(-3). Let v = m + -30. Suppose k + 3*k = v. Solve -4*s = -k*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 2 (c) -1\/15 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0 + 1\/20*s**5 + 1\/4*s**4 + 16*s**2 + 0*s + 1\/2*s**3. What is p in q(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*k + 373*k - 11 - 1 + 12.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 10*z**3\/7 + 42346*z**2\/7 + 44774200*z\/7 - 17916456\/7 = 0?\nAnswer: -2186, -2049, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 - 2*t + 1. Give w(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/w)\/w*w\/w**4)**(-29) assuming w is positive.\nAnswer: w**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129794, -254666, -379538, -504410, -629282, -754154?\nAnswer: -879026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -5.9. Let r = 0.3 - -0.3. Let d = r - o. Which is the smallest value? (a) d (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-295)*1)\/((-1980)\/7586700) + -13.\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -528 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2098 is divided by 636?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -232. Find the second derivative of 76*w**2 + 27*w + 63*w**o + 27*w**4 - 139*w**2 wrt w.\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30985055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opg when three letters picked without replacement from {m: 3, o: 5, p: 5, g: 4, e: 1, y: 2}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 11*v = -55. Let m be 0 - 0 - (5 - v). Solve m = -w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*r - 311 = 2*r, 3*p = 2*r + 187. Let h = -63 + p. Suppose w = g - h*w - 45, 2*g - 5*w - 81 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1048, 1137, 1210, 1261, 1284, 1273?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -33456.5 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 84*v**2 + 27. Let t(w) = -56179*w**2 - 4 + 5*w - 5*w + 56167*w**2. What is 4*i(f) + 27*t(f)?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432310 less than 191647.83?\nAnswer: -240662.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 - 20*s**2 - 4*s + 2. Let g be k(3). Put -13, -3, 13, g, -5 in decreasing order.\nAnswer: 13, g, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/2016*(-63)\/(-3))\/((-78)\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:34 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 363, 1422, 3171, 5598, 8691, 12438, 16827?\n\"Answer: -2*p**3 + 357*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 28 + 26*b + 28 to w*b + t and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1475 + 1478. Let w be (1\/(-2))\/(1\/2). Let h be (w - (-3 - -1))*2. Is h greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/10 - 97*v**4\/36 - 22*v**3\/9 - 119*v**2. Factor h(y).\nAnswer: 2*(y - 11)*(9*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 261.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3374 - 3382 = 4*h, -3*q - 3 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cef when three letters picked without replacement from gjcefo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -3*6*(6 + (-384)\/72)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 2, u: 4}. Give prob of picking 2 u, 1 p, and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1075 and 58481075?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 43602530 (base 7) to base 10\nAnswer: 3748913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255 divided by 1085?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -3\/7, -59\/5 in descending order.\nAnswer: 50, -3\/7, -59\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.208906 - -0.7?\nAnswer: 0.908906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. Let r = 3 - m. Put r, -1, -3 in increasing order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + 3*l**2 + 19*l**2)*(-7 - 7*l + 7)*(0*l - 4*l + 6*l) as m*l**3 + v + z*l**2 + i*l**4 + b*l and give i.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 68*a = -96*a + 310 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-8) + 90\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 80 = -5*y, -2*y + 2 = -0. Suppose -3*s + d + 4*d = 144, d - 132 = 3*s. Let f = q - s. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 17*r**3 + 80*r**2 - 64*r = 0 for r.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-4)\/(-16) - -2. Let g(s) be the first derivative of -j*s**2 + 2*s + 2\/3*s**3 + 1 - 1\/4*s**4. Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -443196.\nAnswer: 1\/147732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*(-18165)\/9342*6\/(-8).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7492 + 8a?\nAnswer: -b7406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36 + 9 = 0. Suppose -3*y + 0 = -9. Find the second derivative of -d*j - 7*j**3 - j**y + 4*j wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4818945 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*q = -6, 4*q + 1440 = -5*v + 1485. Solve 0 = 3*z + 12, -5*h - 4*z = -6*h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*15\/(-10). Let n be b\/(8\/12) - 3. Let z(u) = -u**2 - 8*u + 2. Give z(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215084475 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14508 divided by -93.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvlnlkvhlzhvvnh. Give prob of picking 1 z and 3 h.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -2*s - 0, 2*s = -5*a - 8. What are the prime factors of (-1 + a)*13\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -3*i**5\/10 + 5*i**2\/2 + 13*i. Let f(a) be the first derivative of g(a). Let n(z) = z**2. What is n(f(w))?\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -39*v - 24. Let x(j) = 11*j + 7. Let f(a) = 5*m(a) + 18*x(a). Calculate the remainder when f(5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12821\/252 - -482\/9. What is the common denominator of -43\/500 and j?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05422802*2.6.\nAnswer: 0.140992852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -126. Let t = l + -80. Let x = t + -28. Is -7 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 672*s - 2*s**3 + 3*s**2 + 524*s - 49*s - 220*s as q*s**2 + w*s + p*s**3 + t and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -0.5, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 17*m - 211 = 179. What is the remainder when 2\/(-4) + 33\/2 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 3*k + 5. Let q be j(-1). Suppose -2*m = -f - 4537, f = -m + q*f + 2258. What is m rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.0251 minutes to nanoseconds.\nAnswer: 4561506000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 4*l = 29*i + 20, -5*l - 10 = 5*i. Solve -8 = i*n + 2*y, 2*n + 0*n + 3*y = -12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + m + 1. Let n = -44 + 40. Let i(r) = -12*r**2 + 4*r + 4. Let s(o) = n*u(o) + i(o). Let d(a) = -8*a**2. Calculate s(d(j)).\nAnswer: -512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose s = -2*q - 3*q + 105. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -137\/58 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.9, 0, 226, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/13, -3\/4, 2\/49, 2, -498\/61?\nAnswer: -498\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 3, z: 1, o: 2}. What is prob of sequence oz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 817755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -8 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**8*j)*j)\/j**9*(j**(-1\/2)\/j)\/j**(2\/17) assuming j is positive.\nAnswer: j**(-565\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -36358*i + 2581299. Calculate t(71).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 1301 + 5881. What are the prime factors of f?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 47, 3\/8416, -0.5?\nAnswer: 3\/8416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 66*c**2 - 55*c + 145. Is 35 a factor of f(65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-2)\/(-5 + 6) - (-25)\/5. Solve 4*q = 2*n - 6 - 22, i*n - q - 17 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m = 108*m + 8586. List the prime factors of m.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1053))*2 + -4)**2.\nAnswer: -72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 105 = 4*k, -10*k + 5*n + 150 = -5*k. Suppose 0 = 23*x - k*x + 1220. What is the highest common divisor of 122 and x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*n - 25, 20 = 3*n - 0*n - 4*z. Suppose 4*u - 2*u = n. Find the third derivative of -6*q**5 - 6*q**2 + 2*q**2 + 2*q**2 + u*q**5 wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173909713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j + 223 + 603 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:30 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-5 - 0) + -5. Is 12 a factor of (3*(-24)\/27)\/(z\/324)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/30 and 149\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 951, 952, 967, 1002, 1063, 1156?\n\"Answer: o**3 + o**2 - 9*o + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489933 divided by -3.\nAnswer: -163311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 5. What is the remainder when 38 is divided by n(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 32?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-30 - (-5910)\/195) + (-300517)\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223 + 500 + 280*h - 135*h - 147*h to the form d + o*h and give d.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {l: 2, p: 8, e: 5, b: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4 + 6. Solve 6 = -o - v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 2c?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6092037 and -5\/115748703?\nAnswer: 115748703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 30993.\nAnswer: 61986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030949926 to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 28. Let z = 40 - u. Suppose z*y - 2*j - 21 = 0, y = -2*j - 2 + 1. Calculate the remainder when 7 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/20*-1*62\/16709*-44\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/12 - (-575)\/30 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -6.1107?\nAnswer: 12.1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 + 12*l + 50. Let d(p) = 2*p**2 - 2*p. Let g(v) = 5*d(v) + s(v). Let i = 9 - 9. Let y be g(i). What is the highest common factor of y and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y - 64. Let l be b(16). Let i = 102 - l. Calculate the remainder when 11 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.1943 and -3.\nAnswer: 27.5829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -4.78\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9828 and 254436.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.3, -11, 1\/6, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**2 + 4*a**2 + 7*a**4 - 3*a**4 wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 22. Calculate n(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 18 = -4*f. Suppose f - 44 = -2*y. Let r(t) = -5*t + 30. Calculate the remainder when r(-9) is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = y - 5, -2*a - 4*y = -5*y - 4. Suppose -z - 7099994 = -6*z - a*d, -2*d + 2839996 = 2*z. What is z rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.29042l in millilitres?\nAnswer: 18290.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 11 + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 110 + 160. What are 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 1807127108 to the power of 1\/3, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 386, 481, 574, 665, 754?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18605654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from {x: 3, e: 4, m: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 + -230. Let y(u) be the first derivative of l*u + 5 - 1\/4*u**4 + 0*u**3 + 1\/2*u**2. Solve y(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51922656 divided by -6.\nAnswer: 8653776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10.506 * 11\nAnswer: 115.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/(-9) + (-11 - 654\/(-54) - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u**(-19)\/u)\/u))*u*u*u**(-3\/8)\/u*u)\/((u*u**(1\/16))\/u**(-1\/11)) assuming u is positive.\nAnswer: u**(-3613\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 - 5*r - 3. Let v be q(6). Let k(z) = z**2 + 8*z - 2. Suppose 2*o + 8 = o. Let b be k(o). What is the closest to b in 2\/13, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -260, 3, -16, -4 in decreasing order.\nAnswer: 3, 1, 0, -4, -16, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1803118.9000003 - -1803119. Let d = q + -0.1. What is d rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-1)\/(-6)). Let f(m) = 4*m + 5. Let s(c) = 4*c + 6. Let w(h) = b*f(h) + 2*s(h). What is the derivative of w(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5 - 76*s**4 + 2870*s**3 - 27752*s**2 + 98040*s - 115200 = 0.\nAnswer: -64, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -39*v**2 + 482*v - 33. Determine d(14).\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60767?\nAnswer: 7, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 50 = 2*i. Let t = 68 + i. Suppose 0 = -c - 2, -c = -2*y + 7*y - t. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*s - 27. What are the prime factors of s - (-4 - -2) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2321974 is divided by 92.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (8 - 12 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 3*x - 4*x)*(-75 - 925 + 3847 + 4820 + 1784 - 819) as g + t*x and give t.\nAnswer: -8632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 71600*u**2 + 5551860*u + 35889840.\nAnswer: 5*(u - 14242)*(u - 84)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 c when three letters picked without replacement from {c: 3, x: 1, i: 1, l: 6, a: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 12}. What is prob of sequence jcc?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 + 1.1. Let y = -11.44 + 0.62. Let s = i + y. What is s rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 + 28*i**2\/9 - 70*i\/9 + 44\/9.\nAnswer: -2*(i - 11)*(i - 2)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:28 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*((-324)\/8)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and (69\/54)\/1*5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -18. Let m = 23 - f. Let q = m - 15. Is 1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 1374*d + 4127. Calculate m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 5*f**2 - 3*f + 5*f**2 - 19. Let o be b(6). Put o, 12, -4 in increasing order.\nAnswer: -4, o, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 581 + -268?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -542704 and -46?\nAnswer: 24964384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2679 and 2636877?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -199. Let v = -2 - -2. Which is the smallest value? (a) v (b) m (c) 0.41 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i**2 + i - 16. Let x(w) = 5*w**2. What is b(x(l))?\nAnswer: 300*l**4 + 5*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1133?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-5680)*3015 + 17)\/(4\/(-12))?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 5*u + 3. Let f be n(-6). Let a be (1*f)\/(-3) + 8. Solve 25 = a*s - 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 4 - 4 + (2 - 4 - 2)*(5 + 16 + 7)*(3 - 6 + 2)*(3*i + i - 5*i) to u*i + l and give u.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/8050360 and -109\/5635252.\nAnswer: 56352520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52941 is divided by 464.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 113 - 102 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6825585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 13*j - 603. Let p(o) = 7*o**2 - 32*o + 1208. Determine -4*p(i) - 10*q(i).\nAnswer: 2*i**2 - 2*i + 1198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4))\/i)**(1\/11)*(i**4\/i)**(-12))**(1\/60) assuming i is positive.\nAnswer: i**(-98\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52746*i**3 - 72519*i**3 - 88997*i**3.\nAnswer: -108770*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, -5 in decreasing order.\nAnswer: 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddyyy. What is prob of sequence ddyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 33*j - 11 = h, -16 = -5*j + 4*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*p - 1 - 6*p + 13*p + (-3 + 0 + 5)*(-4*p + p + p).\nAnswer: 34*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(1680\/(-36)))\/(-5*30\/(-800))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 15*r**2 + r + 15. Give p(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -3*d**8\/112 - d**4\/24 - 5*d**2. Find the second derivative of p(a) wrt a.\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*y - 5, 3*y - 21 = -7*z + 12*z. Let m = z - 2. What is the third biggest value in -0.1, m, -9, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 10 = d + 3*c, 5*d + 5*c - 45 = 0. Suppose d*g - 5*g = 10076. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, d: 4, a: 6}. What is prob of sequence dda?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5175773?\nAnswer: 73, 70901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168070?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000665263 to seven decimal places.\nAnswer: 0.0000665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10181280?\nAnswer: 2, 3, 5, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 3, k: 5, i: 4, c: 1, u: 5}. What is prob of sequence ica?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (9\/(-3) - -4). Which is the fourth biggest value? (a) -0.3 (b) -1\/2 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g**2 - 2*g**2 - 4 - 5*g + 4*g**2. Let d be c(4). Differentiate -10 - n**4 + d - n**4 wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + 72\/30. Suppose 4*w - 4*g + 7 = 3, -2*w - 5*g + 19 = 0. Suppose -v*z - 2*j + 10 + 18 = 0, -2 = -w*j. Solve 12 + z = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/6791?\nAnswer: 14\/6791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162997460.\nAnswer: 2, 5, 8149873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326*n**5 - 96*n**2 + 2 wrt n?\nAnswer: 19560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -11. Suppose 300 = x*y + 3*y. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9808 - -4535. Let h = 4 + -2. Suppose -3*m + g = 2*o, -h*o - 17328 = -5*m + 6593. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.17539331 to 2 dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24399 rounded to the nearest 100?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 9*u + 4. Let v(s) = -2*s**2 + 4*s - 2. Suppose -1 = 4*w - 13. Let p be (-2)\/w + (-209)\/33. Let q(h) = p*v(h) - 3*g(h). Factor q(o).\nAnswer: -(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/61 (c) -0.25 (d) -53\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10360 + 10633.24. Let o = i + -297.1. Let q = -14.19 - o. Round q to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.54 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 5412 + 5412. Let s(d) = -24 - 29 + 3*d + 0*d + 9. Give s(x(y)).\nAnswer: -3*y - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*c + 3*w - 5, -3*c + 8 = -2*w. Solve -2*r = -t - 6, c*r = -0*t - t - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 * 0.4\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62*31\/84 + 22 and 30\/2611.\nAnswer: 15666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221819, -887256, -1996317, -3549002?\nAnswer: -5545311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-12))\/(9\/72). List the prime factors of g\/(-3)*(-2 + -85).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 38, 127, 298, 575?\n\"Answer: 4*u**3 + 5*u**2 - 12*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2432 + -2431. Let z = -0.04 - 0.07. Put z, 0.5, 5, m in ascending order.\nAnswer: z, 0.5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/7 + 6\/21. Suppose -3*i = -p*z - 56, -2*i + 2*z = -12 - 22. Solve -i = -4*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144923*g**2 - 106511*g - 19 wrt g.\nAnswer: 289846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/228 and -181\/540.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32104 (base 5) in base 16?\nAnswer: -86a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880670 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: Which is the nearest to -24? (a) 0 (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 17 = 2*h - 0*h, y - 2*h = 1. Suppose 0 = y*k + 2*t - 42, 3*t - 51 = -4*k + 2*t. Solve -5*p + j - 20 = 0, -4*j + k + 0 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -795.\nAnswer: 87.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 - 176. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, d: 2, r: 2, v: 1, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -20. Let r(t) = -t**2 - 10*t + 86. Let m be r(-15). Is m at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 133*k + 2518. Give r(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67456311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264\/13 + 185\/9. Let f = -1\/125 + -241\/1125. Let u = h + f. Which is the second biggest value? (a) u (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 97563740 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (66\/(-176))\/((-29)\/(-10)) and -25\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 - 2614512*m**3 - 83666481*m**2 - 849744558*m - 2651212512 = 0. Calculate m.\nAnswer: -13, -6, 871536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 4*o + 3. Let j be k(-4). Let s = 2 + j. Suppose -4*c = -4*m + 2*m - 24, -5*m = 5*c. What is the remainder when s is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -597 - -1054. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4933337902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:49 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 146479*k\/3.\nAnswer: k*(k + 146479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 19987 + -19992. Let m(b) = b + 16. Give m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16288*b**2 - 33222*b**2 + 16283*b**2)*(0 + 0 - 1) as c*b**2 + p + x*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6144, -6420, -6638, -6762, -6756, -6584?\n\"Answer: 6*x**3 - 7*x**2 - 297*x - 5846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4726 and 28356?\nAnswer: 28356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*p**3 + 654*p**2 wrt p?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -307 + 305. Which is the third smallest value? (a) 4 (b) 0.5 (c) g (d) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-95)*50)\/(5\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.013, -5, 4, -1.30276?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 9\/7 in decreasing order.\nAnswer: 8, 9\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1611, 6831, 15681, 28173, 44319, 64131, 87621?\nAnswer: 114801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f - 21. Let k = f - -13. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 + 28357020*m - 67010048606700 = 0.\nAnswer: 4726170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15305 - 19818 = 1133*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, y: 1, f: 3, j: 2, k: 1, c: 1}. Give prob of sequence jce.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1582 + -1580. Solve 0 = 5*n + 2*m + 10, -4 = x*n + 6*m - 7*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/120 - l**5\/30 + l**3\/3 + 4*l**2. Suppose 10 = 3*t + 4. Let u be n(t). Sort 0, u, -1 in decreasing order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-715)\/286?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 208088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1635821 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**3. Let v(u) = u**2 + 7*u - 8. Let n be v(-7). Let t be ((-13)\/65)\/(((-2)\/50)\/1). Let h(w) = 26*w**3. Give n*r(o) + t*h(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1900) + 1 + -5)*2*-5.\nAnswer: -100*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x**3 - 21*x**2 + 143 + 2*x - 145 to u*x + j + r*x**2 + o*x**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*f + 137, -5*r - f = f - 662. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 868647 and 334095.\nAnswer: 4343235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 i when four letters picked without replacement from {c: 1, i: 5, p: 2, z: 2, l: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 4. Let b(v) = v**2 + v. Let n be b(-2). Find the third derivative of -2*y**4 + 0*y**2 + 5*y**o - n*y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -2115ba6?\nAnswer: -2115ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 125*h**3 + 2025*h**2 + 10935*h + 19683 = 0.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -162*h + 3763. What is the remainder when u(23) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3082, -0.2, 4\/3, 0.3, -2, 2\/9 in descending order.\nAnswer: 4\/3, 0.3, 2\/9, -0.2, -2, -3082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 21 - i + 4*i - 21. Let r(v) = -19*v**2. What is r(c(k))?\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 612421 smaller than 612419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 1115 + 1089 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 356272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5 (b) -3\/2 (c) -1 (d) 5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*n + 83*n - 28*n - 19*n + 5*n**2 - 4*n**2 in the form x*n**2 + i*n + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 - (-60075)\/126. Let j = k - 476. What is the second biggest value in 0.4, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f + 46 + 3*f + 122 + 5*f + 11*f in the form y*f + a and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 299 (b) 5340 (c) -0.3 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0*j**4 + 0*j**3 + 0*j**2 + 22*j - 1\/15*j**6 - 3\/20*j**5 + 1\/42*j**7 + 0. Solve f(q) = 0 for q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 58*c**2 - 118*c - 36. Is x(-11) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a)*(1 - 3 + 0) - 3*a - a + 5*a + 4*a - 2*a - 4*a + (-2*a + 2*a - 2*a)*(-2 + 4 + 0).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 9*i = 20*i. Solve 20 = 2*p - i*o + 5*o, 2*p = -2*o + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 51 = 5*v, -3*v + 29 = u - 3. Suppose 9 - 20 = -v*w. Let q be (-5)\/11 + 4\/22. Is w smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 561*j**3 - 33138*j**2 - 33696*j.\nAnswer: 3*j*(j - 48)*(j + 1)*(j + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 767. Let y(r) = -4*r + 2303. Calculate 7*g(z) + 2*y(z).\nAnswer: -z - 763","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2*m**2 + m**2 - 2*m**2 - 7*m**2 - m**2 + (2*m - 4*m + 0*m)*(-3*m + 0*m + 5*m) - 4 + 4 - 5*m**2.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 12. Put -3, 5, w, 1 in descending order.\nAnswer: w, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -397.8, -55, -0.04, -2\/9 in increasing order.\nAnswer: -397.8, -55, -0.5, -2\/9, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, a: 1, j: 1, z: 2}. What is prob of sequence pa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 16. Let b be 1*(-2 + 6 - 1) - 3. Let u be ((-15)\/(-6) + b)*8\/(-10). What is the closest to u in -6\/7, j, 1\/4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 85*f - 41. Let c be h(-44). Is -174 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 91, 4 in descending order.\nAnswer: 91, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggkgggkkkkkgck. What is prob of sequence gggc?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213969296.\nAnswer: 2, 3, 61, 414607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1\/(-3)) + -3 + 4. Suppose s*g = 6*g - 476000. Round g to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 47*v**2 - 52*v - 187. Let c be w(-48). Suppose 4*r - 4 = 2*r. Let h be (-13)\/((1 - r)\/1). Solve -2*y = -c*o, y + h = -o - 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1662*h**3 + 11 + 18 + 9 - 53 + 15 - 3*h**2 + 3*h**2 + 2*h**3 + (1 + 0 + 1)*(0*h**3 - h**3 - h**3).\nAnswer: 1660*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/3*u**2 - u**3 - 1\/6*u**5 + 2\/3*u**4 - 1\/6*u = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3\/3 + 1268*k**2\/3 - 6416*k\/3 + 2576 = 0. What is k?\nAnswer: -322, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -21*y**6\/40 - 71*y**5\/60 - y**2 + 5*y. Find the third derivative of c(h) wrt h.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from bbbkbbbbbbbkbkkbbbb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -119 (c) -1 (d) 245.98 (e) 6 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.937 + 0.063. Let d = 32 - h. Let g = d + -4.88. Round g to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2. Let y(x) = 390*x - 210. Let a(s) = -15*s + 8. Let m = -17 - -13. Let o(f) = m*y(f) - 105*a(f). Give o(w(d)).\nAnswer: 150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyjjuvjyvv. What is prob of picking 1 j, 1 v, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 103260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00286052 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 - v + 5. Calculate m(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617, 622, 629, 638?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 124, 40, -44, -128, -212, -296?\n\"Answer: -84*c + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1692181 plus 746?\nAnswer: 745.8307819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*a**2 + 717 - 717.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*o - 123*o + 354*o = 23664. Calculate the remainder when o is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46897 - 46897 + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x**3 + 6*x**2 - 13. Let s(l) = -32*l**3 + 11*l**2 - 26. Let y(c) = 6*s(c) - 11*v(c). What is the first derivative of y(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:04 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 385570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34669055.\nAnswer: 5, 241, 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6846*r**3 + 3369*r**3 + 3386*r**3.\nAnswer: -91*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (423\/(-12))\/(0 + (-7)\/1036). What is the highest common divisor of 111 and c?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -114, -55, 0, -3 in ascending order.\nAnswer: -114, -55, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.8, 1.16, -0.07 in descending order.\nAnswer: 6.8, 1.16, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395466 divided by -62879?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -329, 1695, 5121, 9943, 16155, 23751, 32725, 43071?\n\"Answer: -u**3 + 707*u**2 - 90*u - 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 3)*(-4 + 4 - 3*l)*(-2 + 5 - 1)*(2 + 1 + 1).\nAnswer: -168*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*z - 72, 2*z = -4*n - n + 88. Suppose 2*k - 7*o - 76 = 0, -4*k = 4*o - 59 - 21. Solve n = 2*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n. Let c(t) = -15*t + 1. Let y(s) = -6*c(s) - 11*m(s). Let r be y(5). Solve 4*i + z = 0, 3*i - r*z = 6*i - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 (base 13) in base 4?\nAnswer: 32230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.63279583 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 2*h. What is the remainder when ((-3)\/3)\/((-2)\/14) is divided by h*(-4)\/8 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 40. Let i(m) = 3*m**2. Calculate a(i(u)).\nAnswer: -3*u**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -2 - (15 + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 + 9. Let c(d) = -2*d**2 + 30*d - 58. Calculate the remainder when c(10) is divided by p(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5 - 600*h**4 + 10041*h**3 - 38712*h**2 - 10044*h + 39312 = 0.\nAnswer: -1, 1, 6, 12, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2 + 39*m**5 - 1233*m**4 - 3 - 6*m**5 + 1245*m**4 - 52*m**2 wrt m.\nAnswer: 1980*m**2 + 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076020634 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 256979.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5023\/6 - 840. What is the common denominator of 21\/23 and n?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = 0, -l - 3*l + 42 = 5*f. Solve f = -5*c + 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u = -1 + 1087 + 1074 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(114)\/sqrt(24)*-4*-2 + -1*sqrt(2736) + -2 + sqrt(2736)*-1 + 4)**2.\nAnswer: -80*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 + 2*m - 7. Let p be z(8). Let f be p*(-3 - (-10)\/3). Let d(r) = -f - 2*r + 1 + 2. Let t(y) = 2*y**2. What is d(t(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863 + 927 - 1790 - 2069*x.\nAnswer: -2069*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -10 (b) -2\/7 (c) 0.21 (d) 0.17 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -156, -3, -2 in descending order.\nAnswer: 9, 4, -2, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 100*l**2 - 615*l - 73. Determine h(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46268\/3 + 15422. Which is the third smallest value? (a) -1\/166 (b) i (c) 4 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20339415.6 hours in weeks?\nAnswer: 121067.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-27 + 16 - -17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 4, -31, -86, -167, -280, -431?\n\"Answer: -x**3 - x**2 - 11*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3929388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32151101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7821)\/(-8690)*172\/(-6)*6\/18.\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -93. Let t = 4 + r. Calculate the remainder when t is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 19. Let u(q) = -5*q + 18. Let n(s) = -7*u(s) + 6*x(s). Let a be n(-14). Put a, 0, 4 in decreasing order.\nAnswer: 4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 38. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**4\/24 + 109*d**3\/6 + 2*d**2. Let k(p) = -13250*p - 13262*p + 26513*p. Give i(k(m)).\nAnswer: m + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-18)\/42)\/3*-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)\/(w*w*w**(-8\/7)*w*w)*((w\/w**(-1\/2))\/w)\/(w*w*w*w**(-3)*w*w) assuming w is positive.\nAnswer: w**(-373\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-238)\/77 - (-10)\/110) + 7. Let j be -1 + 2\/(4\/38). Find the second derivative of -22*m**2 + j*m**2 + 2*m - o*m - 8*m**2 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -s - 14*b - 84, -3*s - 3*b = 216. Which is greater: -72 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.338 + 1.938. What is the nearest to 3 in -0.5, -1\/3, l, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b. Let f(z) = -12180*z**2 + 5*z + 120. Let o(j) = 20300*j**2 - 8*j - 195. Let x(v) = -13*f(v) - 8*o(v). Determine i(x(g)).\nAnswer: -12180*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206486.7241 + -206471. Let c = g - 1.7571. Let w = c - 14. Round w to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10263, 20523, 30783, 41043, 51303?\n\"Answer: 10260*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 46. Suppose 0*l + q = 4*l. Let n be (-4)\/12 + -1 + 0. Which is the third smallest value? (a) 0.3 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v + 4*w - 6, -3*w + 6 = 3*v. Suppose v = -3*y + 180 + 471. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -404 - -402. What are the prime factors of ((-11072)\/10)\/j + (-126)\/210?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31823 and 14465.\nAnswer: 159115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 3*j + 4. Let g be z(3). What is the smallest value in -3, 0.3, g, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 2, p: 3, y: 1}. What is prob of picking 1 m, 1 v, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*x = -640, -266 = 2*k - 3*k - 12*x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -263*n + 23. Let q(y) = 260*y - 22. Let z(b) = 7*l(b) + 6*q(b). Is z(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/15*a**6 + 7 + 3\/10*a**5 + 2*a**2 + 9*a - a**3 - 1\/6*a**4. Let l(y) be the first derivative of x(y). Factor l(z).\nAnswer: -2*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, x: 5}. What is prob of sequence qqqx?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 4641406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 48, 86, 134?\n\"Answer: 5*w**2 + 13*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273643, 273339, 272839, 272143?\nAnswer: 271251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-51) - 126\/1071.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.6 - -31. Let b = 0.33 - x. Does b = 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 25*c**2 - 123*c - 40. Let v be z(18). Solve v = o - 3*a, 11*o + a = 6*o + 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13941 divided by 83.\nAnswer: 13941\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 200 - 282 + 162 = 0. Solve -z*q - 8 = -24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552519 = 2*j + 60*l - 55*l, -14 = 2*l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-92)\/(-16) + 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 4*p + 5*p)*(-17 + 994*p + 56 - 1005*p).\nAnswer: 22*p**2 - 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11356 < 11185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/511460 and 13\/2390?\nAnswer: 511460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, u: 5, x: 3}. What is prob of picking 2 p and 1 x?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/36*32\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208826, -208846, -208888, -208964, -209086, -209266?\nAnswer: -209516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s + 428*s**3.\nAnswer: 428*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30278 (base 11) to base 13\nAnswer: -171ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160644803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 8*c = -30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.879773 to 1 decimal place.\nAnswer: -185.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*r**3 - 785*r**3 + 287*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*t - 146*t - 2*t**2 - 6 + 69*t.\nAnswer: -2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 8*p - 22. Let m be k(-11). What is the highest common factor of 138 and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14750 (base 9) to base 4.\nAnswer: -2131221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28 + (11 - -5) + 11. Suppose -60 = -3*p - 2*p. Let d be 3\/p - 13\/60. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 2 = -v + s, -4*s = -2*v + 22. Suppose v*x = 3*y, -3*y + 2*x - 3*x - 12 = 0. Let n = y - -8. Solve -19 = -3*z - n*i + 3*i, 3*z - 4*i = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*h**5 + 210*h**4 + 260*h**3 + 110*h**2 + 15*h = 0. What is h?\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 7463*y**2\/2 - 10221*y - 9197. What is the derivative of g(h) wrt h?\nAnswer: 7463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + 13 + (29 - 44))) + 21.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:26 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -16*g**2 - 18*g**2 + 29*g**2. Let s(v) = 6*v**2. Give 6*s(j) + 7*y(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:58 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 78648.1+1182.5\nAnswer: 79830.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 - 133157.505\nAnswer: -133154.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.1. Let p = -46644 - -326506\/7. Let u = 0.5 - 0.3. What is the closest to a in u, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 40. Let v = 52 + -58. Let n = v + h. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6435 and 15?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4 + 2 + 2 + 23767*g - 18545*g. Let a(q) = -q. Calculate a(i(n)).\nAnswer: -5222*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r - 3*i + 11, 3*r = i - 2. Let f = -13 - -19. Let h = f - 4. Solve h*s = 5*q, 2*q - 2*s + r*s - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45706 is divided by 38943?\nAnswer: 6763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 46 = -8*q, 2*q + 3*q - 21 = -0*q - 4*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167844?\nAnswer: 2, 3, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70*(-25)\/(-11250) - (-2 - (-64)\/36)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -126*a**2. Let p(j) = -2*j. Give p(i(d)).\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.9598m?\nAnswer: 7795.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*j + 30, 0*h - h + 4*j - 14 = 0. Let u = 0 + h. Suppose -v + 3 = 4*o, u = 2*v + o - 4. Solve 8 = v*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*x + 5*w, -93 + 42 = -3*x + 3*w. Let q(n) = -17*n + 2. Let b be q(6). Let i = 168 + b. Calculate the remainder when i is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-4*1 + (-73 - -103). Solve 0 = -28*d + i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*n**4\/7 + 52*n**3\/7 + 1784*n**2\/7 - 208*n\/7 = 0. What is n?\nAnswer: -2, 0, 26\/223, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-18) + 2006\/(-9792). Suppose 5*y + 7 = -3*u, 0*u - 4*u + 14 = -5*y. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1499837*n**2 - 5*n + 2. Let q(a) = -2*a. Determine q(b(s)).\nAnswer: 2999674*s**2 + 10*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.135 + 11980832.04.\nAnswer: 11980831.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.063 + -1.063603. Round c to five decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 + 8*f - 16. Let t be k(-6). Find the second derivative of -3 + 2*b + 6 - 1 - 8*b**2 + t*b wrt b.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 182*k - 4014. What is z(-51)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*n = -7*y, -4*y = -3*n - 3. Suppose -m - y*m = -232. Let h = m + -292\/5. Which is the closest to -0.1? (a) -3 (b) h (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1736.000035973 - 1736. Round d to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350*f**4 - 174*f**4 + 2142*f**3 - 1128*f**2 + 275*f**2 - 251*f**2 - 174*f**4 wrt f?\nAnswer: 48*f + 12852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16371014 is divided by 2728501.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 913 = -1183 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29657 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431773*d - 432304*d = -23895 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001673 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 12. Calculate the smallest common multiple of r and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 + 2*d + 1. Suppose -5*l + 24 = -f, 0*f - f + 12 = 4*l. Let u = l + -5. Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12918 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 20, -4*t - 3*x + 92 = -120. Calculate the greatest common factor of 1043 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3\/9 + 82775900*b**2\/9 - 165551812*b\/9 + 82775908\/9 = 0. Calculate b.\nAnswer: -20693977, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1785*u - 570 wrt u.\nAnswer: 1785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103434, -103437, -103442, -103449, -103458, -103469?\n\"Answer: -h**2 - 103433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h - 14 = 0. Let x(m) be the third derivative of -5*m**4\/12 - m**3\/6 + 25*m**2. Let k(z) = 3*z. Give h*k(t) - 2*x(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/45 + 1 + 70\/(-105)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 466. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150191\/(-70) - (-52)\/182 - -5. Let z = 2133 + u. Calculate the common denominator of z and 13\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -2\/5, -1 in decreasing order.\nAnswer: -2\/5, -1, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588769 and 3995.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-2)*a*a*a*a)\/a)\/(a*((a*a**(1\/3))\/a)\/a))**(2\/7) assuming a is positive.\nAnswer: a**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 - 110. Let h = -79.7 + f. Round h to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8981.2 - -8981. Let k = 1.7 - -2.34. Let y = -0.04 + k. Which is the second biggest value? (a) g (b) y (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2205*v**2 + 2*v + 835*v**2 - 1192*v**2 - 3348*v**2.\nAnswer: -5910*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34420740 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*x - 53 + 148 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82335730588764 - -4.\nAnswer: -82335730588760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.815 - 0.056838.\nAnswer: -4.871838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -5, 1\/4, -0.012, -3?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 - b - 2. Let q(i) = i**3 + 3*i**2 + i + 2. Let u be (-2 - -3)*3\/1. What is u*j(p) + 4*q(p)?\nAnswer: p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/35024 and 1\/4486256?\nAnswer: 49348816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568673833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 47, 75, 107?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o. Let j(d) = 5*d**2 - 4*d - 1. Let i(a) = 9*b(a) - 2*j(a). Give i(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-242)*(-22)\/(-8))\/(3\/4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 907984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-231638)\/12)\/(4179\/(-126) - -33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148556 to the power of 1\/2, to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l + 54*l + 8*l + 14*l in the form f + o*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*m**2 - 27*m + 24*m + 3*m**3 + 0*m**2 wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let l(i) = 9*i - 1. Calculate r(l(c)).\nAnswer: -9*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21.15538989 - 23.6\nAnswer: -2.44461011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k + 46. Let g be p(-7). Solve -4*o + 5*d = 4 + 17, -g*o - d = -9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 5.253\nAnswer: -21.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4650008 = -5*i, -u + 5*u = 3*i + 2789992. Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 15*p + 52. Let r be (-6)\/45 - (626\/15)\/2. What is the hundreds digit of h(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24910 and 4982.\nAnswer: 24910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241 - 351?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8550754.\nAnswer: 2, 4275377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*b + 161*b = -4727 + 8062 + 7192 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 215*j + 11. What are the prime factors of o(-77)?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y - 9. Let i(u) = -6*u - 2. Is 16 a factor of i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 23*c**3\/6 + 264*c. Let h(l) = l - 10. What is h(y(s))?\nAnswer: 23*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 2*r + 14, -4*v = r - 11. Solve 2*h = -2*b + 4, v*h + 4*b - 1 = 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(2\/29))**(3\/4) assuming m is positive.\nAnswer: m**(-3\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24)*12)\/((-3)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 0*r - 4*r = 10*p - 6, -p + 14*r - 16*r = 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1560\/244723 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -20. Factor -17*n**j - 11*n**4 + 5*n**4 - 3*n**3 + n**4.\nAnswer: -5*n**3*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 115, 454, 1019, 1810, 2827, 4070, 5539?\n\"Answer: 113*h**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 29*h**2 + 541*h - 4329. Calculate i(8).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**9 assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.509 (b) -0.12 (c) 0.2 (d) -8 (e) -4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(sqrt(14) - ((sqrt(14) - (sqrt(140)*1)\/sqrt(10)) + sqrt(14) - sqrt(14))))\/(5*(sqrt(28)\/(sqrt(20)\/sqrt(5)) + sqrt(7))*-1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*m = 2*b, 3*m = 0. Solve 2*l + 15 - 7 = b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/456 and -157\/60?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, z: 6, s: 5, a: 1}. What is prob of sequence za?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -31. Let y be (f\/15)\/((-2)\/(-5)). Suppose -5*o + 107 = -3*c, 0 = -5*o - 2*c + y*c + 99. What is the remainder when 36 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100010110110 + 11111101110?\nAnswer: 100010000010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 25. Let d be l(-8). Which is the closest to 1? (a) 0.5 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/64 and 13\/2144.\nAnswer: 4288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeedde. Give prob of sequence eede.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 4:50 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 313*m + 2510. Calculate s(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - c024?\nAnswer: -c025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6392696490 to the nearest integer?\nAnswer: 79954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 2. Suppose -3*z - 9 - 6 = 0. Let x be h(z). Suppose -x*l + 4*l + 5*b - 4 = 0, 0 = 4*l + 2*b + 2. Do l and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g - 44*g - 24*g)*(5*g**2 + 10*g**2 - 9*g**2).\nAnswer: -354*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*u - 0*k + 8, -4*u + 20 = -4*k. Let n = 14.7 + -15. Sort -4, u, n.\nAnswer: -4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 7) to base 4.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.094\nAnswer: 0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 35*x**2\/2 + x - 974. Let p(c) = -11*c. Calculate p(q(z)).\nAnswer: -385*z - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 66*c - 132. Calculate z(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 2\/11, -4 in decreasing order.\nAnswer: 2\/11, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140175.\nAnswer: 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f + 313*f + 109*f.\nAnswer: 318*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 0.07196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 144 = -2*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9495028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29665 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 6. Let b be t(4). Suppose 4*d - b*s = -52, -3*d + 2*s + 0 - 38 = 0. Let j = 7 - d. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d - 2. Let b be y(6). Let g(f) = 8 - b + 1 - f. Let c = 6 - 2. Give g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**3 + 2*n + 19. What is the first derivative of v(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62283 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/(-12))\/((-7)\/(-98))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(2))\/sqrt(8) - 2*sqrt(5)*-2.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 3, u: 1}. Give prob of sequence jjuj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636906243.\nAnswer: 3, 113, 10728337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12360 divided by -5?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 398\/9581493?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4740*p - 9 + 10 + 4736*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 270, 478, 778, 1200, 1774?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5363 + 5358. What is the smallest value in 3, -11, t?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20357 - 274*t - 20357)*(3 - 1 - 4)*(-7*t**2 + t**2 + 16*t**2).\nAnswer: 5480*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 37*a**2 + 1. Let k(i) = 812*i + 1. Determine l(k(r)).\nAnswer: 24395728*r**2 + 60088*r + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 9 = -45*x, 6 = b - 2*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23319781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2107*j**2 + 107*j - 459. What is the tens digit of x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -0.03.\nAnswer: -81.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 4 - (1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10892 = -8*c - 10820 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 1. Let n(i) = -106*i + 4. What is -6*c(g) + n(g)?\nAnswer: -94*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-500)\/(-150) + -2*1\/6. Let w(z) be the third derivative of 7*z**2 + 0 + 0*z**m - 1\/24*z**4 + 0*z. Let f(c) = 4*c**2. Determine f(w(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/(-33) - (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 10*s**2 + 16*s + 18. Suppose 5*u = 4*z - 38, -2*u + 2*z = 4*z + 8. Does 22 divide v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:36 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**4\/8 + y**2. Let v(i) = i**2 - 2. Let n(j) = -6*j**2 + 11. Let c(m) = 4*n(m) + 22*v(m). Give p(c(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*o, -g - 2*g - 13 = -2*o. Let v be (30\/(-10))\/((-1)\/o). Let w = v - 0. Let s(k) = -k**3 + 7*k**2 - 3*k - 4. Give s(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 442 divided by -432252\nAnswer: -221\/216126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.042*2.252.\nAnswer: -0.094584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005669 to five dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1866298 and 77\/526?\nAnswer: 490836374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -204, -1032, -2906, -6234?\n\"Answer: -68*i**3 + 89*i**2 + 19*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2511*z**3 - z**2 - 3062 wrt z?\nAnswer: -7533*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 104445110?\nAnswer: -104445112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 3*d**2 + d - 1. Let n be h(-2). Let c = n - -1. Suppose c*z + 0*z = 3*z. Solve -o - 2*x = -z*x + 1, -x - 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - j + 16, 814*h - j - 2 = 809*h. Let o(x) be the first derivative of 480*x**h + 40*x**3 + 5\/4*x**4 + 14 + 2560*x. Factor o(d).\nAnswer: 5*(d + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -67 + -4 + 0 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.623 - 7.625317. What is a rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -722*w**2 + 722*w**2 - 17*w**5 + 3 - 3 + 2*w**5 + (2*w**4 + w**2 - w**2)*(0*w - w - w).\nAnswer: -19*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28141 by -6.\nAnswer: -28141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -14. Let s = w - 19. What is the remainder when 39 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4515 and 29799?\nAnswer: 148995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t. Let p(c) = -2*c**3 - 8*c**2 + 8*c - 3. What is -6*d(n) - p(n)?\nAnswer: 2*n**3 + 2*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10560 and 4455.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**29*r*(r*r**(-5\/18)*r)\/r*r)\/((r*r**(-1\/12))\/r)**(-40))**10 assuming r is positive.\nAnswer: r**(2555\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106655717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(1\/60). Suppose 2*b = -6, -4*h + b = -b - y. Let q be 4*1*(-6)\/(-8). Calculate the highest common factor of h and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4005)\/(-34443))\/(((-3)\/(36\/120))\/(8\/2)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*h*q**2 + 160*f**3*h*q - f**2*h*q**2 - 2*f*h*q + 28129*h*q**2 - 4071*h*q wrt q.\nAnswer: -2*f**3*h - 2*f**2*h + 56258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2}. What is prob of sequence hp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = 11, -3*w + 129197 = 4*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Suppose -4*g - 3 + 13 = l, -4*g - t = -5*l. Solve g*x - 5 - 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 294573*z + 294573*z - 683 as d*z**2 + g + o*z and give g.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3893 is divided by 327?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/8 - -2)\/(81\/(-24)). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6205 times -1\nAnswer: 6205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131101302 + 1?\nAnswer: -1131101301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 19 - 101. Let n be 5 - ((-7 - -3) + 224\/(-15)). Let h = y - n. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6344 is divided by 704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*y + 178*y - 80*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 224. Let j be ((-2)\/(-4) - 0)*i. Suppose -2*k = 2*k - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*g = 8, 7*o - 2*o + 5*g + 20 = 15*o - 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 431961841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61901 rounded to 2 decimal places?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -32.96. Let j = -21.44 - -21. Let z = h - j. What is the closest to -1 in -1\/7, 1\/3, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796139.\nAnswer: 3, 41, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5, 1\/5, -14.174, 0.1, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9069 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1682*x**4 + 9514*x wrt x.\nAnswer: -20184*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + 1 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 60. Calculate s(-11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxxo. What is prob of picking 1 o and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:44 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*k + 393 = 0, -2*v + 140 = -k - 10. Suppose 0 = -4*s + 3*z + v, -s + z + 4*z + 15 = 0. List the prime factors of -3 + 1 - s\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -6.9?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/224 - (-21)\/4. Sort -3, 4, r, 0 in increasing order.\nAnswer: -3, 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.47 + -2.41. Let k = -0.12 + x. Which is the closest to -2\/7? (a) -3\/4 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 - 130. Let f be a - ((6 - 1) + 2). Let q(p) = -p**2 - 2*p - 2. Let v be q(-2). Which is bigger: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005840904 to five dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4595*f - 4595*f + 480*f**3.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138\/5 + -976\/35. Let j be (-4)\/10 + -2 + 81\/30. Which is bigger: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 8*t + 9. Let m be 3 + (-116)\/40 + 282\/(-20). Let z be 1786\/329 + 6\/m. Let x(s) = -6*s**2 + 12*s + 13. Give z*x(u) - 7*v(u).\nAnswer: -2*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -345*h**2 + 244*h - 10. Let r(z) = -4*z**2 + z - 1. Let q(m) = i(m) - 10*r(m). Find the second derivative of q(f) wrt f.\nAnswer: -610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - 30.95. Let k = -31.15 - u. What is the biggest value in -0.3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b, -5*i - 15 = -4*b - b. Let j(k) = -3*k**2 - 2*k + k**3 + 4*k + 2*k - i + 0*k. Calculate the smallest common multiple of 6 and j(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:46 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/172)\/(33456\/22304).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64724, -259179, -583282, -1037039, -1620456, -2333539?\nAnswer: -3176294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -j - 0*j + 8, 0 = -5*j - 4*a + 13. Let o be ((-276)\/184 + 1\/(-2))*3\/(-2). Solve -j = -k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -151, 25, -1 in descending order.\nAnswer: 25, 4, 0, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8683996.\nAnswer: 2, 79, 27481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 73484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13971249?\nAnswer: 3, 677, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + 11. Let b = 12 + d. Let m = b + -61.00000031. Round m to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 + 0*b**5 + 0*b**5 + (99*b + 90*b - 180*b)*(-2*b**4 + 0*b**4 + 0*b**4).\nAnswer: -15*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 1. Let y(x) be the second derivative of 2*x**3\/3 - 58*x + 7. Determine -2*p(u) + 3*y(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -148.8.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + 59 + -46 + -138.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-10\/3)*v*v**(-2\/27)*v)\/(v\/(v\/v**(11\/3)))**(2\/11) assuming v is positive.\nAnswer: v**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -404, -808, -1212, -1616, -2020, -2424?\n\"Answer: -404*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 94 = 4*c - 2*c, 4*c = -3*h + 78. Let l be (-121)\/h*(0 + (-4)\/1). Let d = l + 55. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72693 and 11439?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 735\/10282 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 115*m**3 - 177*m**2 + 7*m + 7. Let i(l) = -38*l**3 + 59*l**2 - 2*l - 2. Let x(a) = -2*b(a) - 7*i(a). Find the third derivative of x(v) wrt v.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 1, -5, -22, 2\/3.\nAnswer: -22, -5, -4, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541269808.\nAnswer: 2, 33829363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6394 - -7800. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3, 3, -137 in decreasing order.\nAnswer: 5, 3, -1, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 328*t - 318*t. Do t and 56 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35217634 take away -234.5?\nAnswer: -35217399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 + 61*q + 21. Calculate the remainder when 266 is divided by p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -800359.461 to the nearest 1000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 486*z**2 + 1027*z + 11517. What is s(-245)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -15*p + 0*p**2 + 5\/3*p**3 + 1\/6*p**4 + 0. Factor c(t).\nAnswer: 2*t*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + 3 - -2. Suppose 40 = 5*h - q, -3*h - i*q + 30 = -22. Let s = 9 - h. Is 0 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Let y(m) = 2*m**3 - m**2 - m - 2. Let d be y(a). Suppose 2*x = 3*h + 32, -x + 80 = 4*x - 3*h. Calculate the greatest common divisor of x and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801*i - 819*i + 874474 + 706124 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585595 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*b - 27, 0 = 4*b + 5*y + 12 - 33. Let w be -3000*1095*4\/b. What is w rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 166370 and -154\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v**2 + 19*v. Let r be c(8). Suppose -r = -22*s + 14*s. What are the prime factors of s?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 83*m. Let f(x) = -492*x**2. What is g(f(u))?\nAnswer: -40836*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -28. Let h = -47.04 - t. Let k = -1.7 - h. Round k to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - a)*(-6*a - a**2 + 6*a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3400494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:30 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 569*s**2 + 3*s + 83. Let f(a) = 565*a**2 + 2*a + 85. Let m(z) = -2*d(z) + 3*f(z). Differentiate m(t) with respect to t.\nAnswer: 1114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438.7 - -48.7. Let n = o + 548. Let r = 158.00000142 - n. What is r rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 600, 963, 1452?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 4, g: 1, t: 5}. What is prob of sequence etgt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(432)) - (5*(sqrt(432) - sqrt(432)*-2) - sqrt(432)) - ((sqrt(12))**2*5*-4 + 0).\nAnswer: -180*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - b - 5 = 5, -5*b - 30 = -5*p. Solve -4*y = -0*f + f - 4, 4*y + p*f - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 6, e: 6, k: 4}. What is prob of picking 2 g and 1 e?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-17\/5))\/(y\/(y\/(y*y\/y**(-31)))))\/(y**16\/(y*y**(3\/11)\/y)) assuming y is positive.\nAnswer: y**(-2438\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14489 + -202929\/14. Find the common denominator of -33\/10 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:34 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -45*a**2 - 8*a - 26. Let o be x(-4). Find the common denominator of 3 - o\/4*(-6)\/72 and -47\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1974*g - 161876. Calculate i(82).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.2612 - 0.2612. Which is the nearest to -1? (a) 3 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 110.64.\nAnswer: -110.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = -5*s + 2*n + 2437, n + 631 = 2*s. Suppose 2*k + 2*z - 164 = -z, 4*k + z - s = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 66. Let r = -16 - p. Suppose -b = -4*b + 198. What is the highest common divisor of b and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 2 + 1 + -3. Suppose r*d - o - 56 - 197 = 0, 4*d = o + 503. Suppose 6*b - d = 457. What is the remainder when b is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:42 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*2*sqrt(99))\/(4*(sqrt(81) + 1*sqrt(81))))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -86. Let j be (6 - k)*4\/6. Solve -4*z + 0*z - j = -2*l, -5*z - 5*l = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375, -380, -387, -396, -407, -420, -435?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/6396 and -31\/14.\nAnswer: 44772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 215669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4735*u - 2233*u - 2260*u)*(-2*u + u**2 + 2*u) - 2*u**3 + 9*u**3 + u**3.\nAnswer: 250*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4442724.\nAnswer: 2, 3, 11, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17349 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 1. Suppose -l + i = -0. Let t(u) = 2*u**2 + 2*u + 1. What are the prime factors of t(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose -5241 = -5*u - n, 0 = -2*u - f*u + n + 2102. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23676*y. Let h(x) = -2*x**2 + 34*x. Give j(h(z)).\nAnswer: 47352*z**2 - 804984*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**2 + 6*x - 9. Let a(o) = 8*o**2 - 6*o + 10. Let b(g) = -4*a(g) - 5*r(g). What is the units digit of b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396502392 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.525839 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126 is divided by 2124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25597 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)*a**(1\/3)*a**(-25)*a**27 assuming a is positive.\nAnswer: a**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Suppose r + 2*u = -4, 4*r + 2*u = -3*u - 7. Let c(g) = -g**r - 3*g**2 - 2*g**2 + 0*g**2. Calculate f(c(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d + 3. Let o(g) = -3*g - 7. Let s be o(-3). Let k be w(s). Let v = -14 - k. Which is the smallest value? (a) -0.1 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 12*s**2 + 2*s + 17. Determine q(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g. Let q be n(2). Suppose 0 = 3*r - 3*f - 54, 2*r - 108 = -2*r - 5*f. Let v = r + q. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 1285, 1212, 1101, 940, 717, 420, 37?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*o - o**3 + 8*o - 48*o**5 + 62*o wrt o?\nAnswer: -960*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3041030403 + 0?\nAnswer: 3041030403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33911002 by 1.\nAnswer: -33911002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 152.165\nAnswer: 1521.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0074 and 0.2.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 688, 1608, 3408, 6382, 10824, 17028?\nAnswer: 25288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 48. Let s be v(-12). Let b = -2756\/7 - -393. Is b smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/8 + z**3\/6 - 8*z**2. Determine x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -95*v**2 + 1244*v - 96. What is g(13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*m - 24*m + 30. Let x be (54\/63)\/(m\/(-70)). Solve -z + 6 = x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**(8\/7)\/i*i)**(-6)*i\/(i*i*(i*i\/(i**(-9)*i))\/i)*i**(-13)\/i assuming i is positive.\nAnswer: i**(-342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*2 - 185\/150 - 2094\/(-1396).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14548 is divided by 2616?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m = 33*m - 84 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p**(-3\/14))\/p*(p**18\/p)\/p*(p\/((p\/((p\/(p\/p**(2\/9)))\/p))\/p))**3 assuming p is positive.\nAnswer: p**(733\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuqqqqquqqqquqqquu. Give prob of picking 1 q and 3 u.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 5. Let t = -9 - -4. Let z be g(t). Suppose 2*c - 7 - 1 = z. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275)\/165)\/(240\/32)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 25*i**2 - 63*i - 29. Let g = 12 + 8. What is the remainder when o(22) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125 and 233?\nAnswer: 29125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143397*c - 237120 = 145677*c for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38585 divided by 1520.\nAnswer: -7717\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, d: 4}. Give prob of picking 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11204 + 1295 + 9909 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151152 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130487 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4809 + 6627 + 3*b + 11975.\nAnswer: 3*b + 23411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s - 5. Let g(o) = -2*o + 1. Let j(t) = 6*g(t) + n(t). Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 162 = -4*m - 4*w, 5*m = -3*w - 281. Let u be (-30)\/(-4)*(-24)\/(-2). Let h = m + u. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*l - 8, -2*k = 5*l - 4*k - 4. Let h = -4.4 + 6.5. Let t = h - -0.9. Which is the nearest to l? (a) -5 (b) t (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102002 (base 3) to base 9.\nAnswer: -4362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000458673 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 114. Let s = -20 - -15. Sort s, -0.2, b, 0.5 in increasing order.\nAnswer: s, b, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/60 - 5*j**4\/24 + j**3 - 4*j**2. Let r be b(-5). Suppose y = r*y - 15. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 16 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + 4 + -10 + 14\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 0 + -8 + (18 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 + 359 = -2*a - 3*v, -2*a - 690 = 4*v. What is a rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g = -52*g + 3*w, -3*w = 4*g - 2. Let m = -11 - -16. Solve m*i = 4*i - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 13 + 23 = 0. Let v(s) = s**3 - 3*s**2 + s + 6. Let l be v(2). Let q be (c\/(-4))\/(2\/l). Solve -q = -i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.062 - 0.038. Which is the nearest to -0.2? (a) 0 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.33107641 + -2.\nAnswer: 60.33107641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-104))\/(4\/(-80)) - (1729 - 1716)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -4, -27\/58, -729 in ascending order.\nAnswer: -729, -4, -27\/58, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 352195 * 0.1\nAnswer: 35219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 156. Let s = 351\/4 - d. Let k = 105\/388 + -2\/97. Put k, s, -4 in decreasing order.\nAnswer: s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90307110 and 25590?\nAnswer: 90307110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 147350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 40696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*x - 104*x - 5059895 + 5059892 as p*x + h and give p.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505737?\nAnswer: 3, 7, 309797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114208831*r + 85046925?\nAnswer: -114208831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/9, 4\/23, -5, -2\/3 in ascending order.\nAnswer: -5, -2\/3, -1\/9, 4\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-16)*(-14)\/(-63)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4 (c) 1\/59 (d) 1\/4 (e) -0.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -17)\/(-3*(-2)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = 2*a + 4*t, t = 3*a - 39. Let r = a + -16. Let b(m) = 0 - m + 1 + 5*m + m**2 - 4. Determine b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740549 - -108306.5969?\nAnswer: 848855.5969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = l + 4, -9 - 24 + 4 = 5*l + 2*r for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 0.03. Put -1, g, -1\/4 in decreasing order.\nAnswer: g, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705109657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 + 5*q + 6. Let m(v) = -v - 5. Let s be m(0). Let x be a(s). Suppose -w + 32 = h, 0 = -h + 3*w - x*w + 26. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 40 = 0, 1116*p - 1122*p + 2*a = 4*a + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -94 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222000 (base 3) in base 6?\nAnswer: -21213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -210*t**3 + 5*t**2 + 7*t + 12. Let n be g(-3). Which is bigger: n or 5704?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 3*q**3 - 5*q**5 + 3*q**5 + (2 - 6*q**2 - 2)*(q**3 + q**2 - q**2).\nAnswer: -8*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/43923 and 137\/7986?\nAnswer: 87846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 295 = 0. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (1*sqrt(65) + sqrt(65) - sqrt(65))\/sqrt(5) - 2*(-4 + sqrt(637) + 1)**2.\nAnswer: -1294 + 85*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19405 from -0.5.\nAnswer: -19405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4941925 to 3 dps.\nAnswer: 2.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -0.53, 3 in ascending order.\nAnswer: -0.53, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsllllkkmmdlm. Give prob of sequence dmm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 94*z**2. Let r(a) = 5*a + 4. Let f(h) = 22*h + 18. Let g(p) = 4*f(p) - 18*r(p). What is t(g(u))?\nAnswer: 376*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 - k**5 + k**5)*(7 + 14 + 4).\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384525117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 3*a + (1 + 4 - 4)*(3*a - 2*a + 0*a) + 1 + 2*a - 1 - 1 + 1 - a + 4*a + 11 - 11)*(6 - 15 - 4).\nAnswer: -91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - -7) - (1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-44 - -18) - -38?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s + 346 = 22*s - 330 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6178.783 - -6176. What is j rounded to two decimal places?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*k - 8 = -18, -16 = -2*r + 4*k. Factor -2\/3*i - 1\/3 - 1\/3*i**r.\nAnswer: -(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 98\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:54 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 + 278345*k**3 - 1127043 wrt k.\nAnswer: -4*k**3 + 835035*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 77. Suppose 0 = -5*l + 3*l + 2*p - 52, 5*p + 44 = -l. Calculate the lowest common multiple of n(l) and -84*5\/((-70)\/12).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j + 3. Let t be h(1). Put t, -2, 26 in descending order.\nAnswer: 26, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*5)**2 + (sqrt(5) - (5*sqrt(405))**2).\nAnswer: -8125 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o - o + 6*o)*((o - 2*o - o)*(3*o**3 + 0*o**3 - o**3) + 5*o**4 + 2*o**4 - 4*o**4).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 16*q + 29. Let s be b(-20). List the prime factors of (-68)\/s + 395\/3.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(153) + (2*sqrt(153) + sqrt(153))*5)\/(-6*(sqrt(81) + -3*sqrt(81)*2)).\nAnswer: 17*sqrt(17)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n - 81 + 81)*(4 - 2 - 1)*(-19 - 121 - 8).\nAnswer: 1924*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9*s - 2*b = -103 - 175, -b + 44 - 118 = -s for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:44 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inqr when four letters picked without replacement from bbbqiqrnqbn?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/15 + g**4\/12 + 9*g**2. Find the second derivative of x(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -163. Which is the nearest to -1? (a) 0.3 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8392*z - 145. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2 - 2)*(0*z**3 + 9*z**3 + 3*z**3) + 3*z**4 - 4*z**4 - 3*z**4 as g + d*z + h*z**4 + l*z**2 + y*z**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/120 + 7*n**5\/60 + n**4\/3 + n**3\/3 - 4*n**2. Let j be x(8). Let -3 - b**2 + 1 + b + j*b**2 = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 70*l - 6327. Calculate c(75).\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 81*b**5 + 503 + 48*b - 144*b**3 - 108*b**4 - 243 - 260 + 48*b**2 = 0.\nAnswer: -2\/3, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {k: 6, g: 4, x: 3, h: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i**2 + 2*i + i**2 - 2*i - 11*i**2 - 241 as b*i + y*i**2 + c and give c.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - ((-334)\/(-76) + (-32)\/(-304)). Let n = 18 + -32. Let k = n - -13.9. Which is the nearest to k? (a) -2 (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4 - -2 - -1). Let x = i + 3. Suppose 4*s + 16 = 0, -x*h - 2*s + 20 = -56. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22000201011 - 11?\nAnswer: -22000201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.2 + 10.2. Let l = i + 39. Let j = 4 - 6. What is the third biggest value in 0.02, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(5\/(-6)))\/(-11*(-126)\/(-1848))*4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, z: 3, n: 5}. What is prob of picking 3 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2970737 is divided by 1485345?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70420 is divided by 70.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 10\/23 (b) -4 (c) -2.719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 6*c**4 + 2*c**4 + (2*c**3 - 5*c**3 + 2*c**3)*(3*c - 2*c - 2*c) + 871 + 59*c**2 - 62*c**2 - 912 + 2*c**4.\nAnswer: c**4 - 3*c**2 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*l - 102 = -l, 3*m - 62 = -5*l. Let k(o) = -o**2 - 8*o - 2. Calculate the remainder when m is divided by k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37825 (base 10) to base 4.\nAnswer: -21033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*o**2 - 2*o - 9*o**2 - 541*o**2 + 3*o.\nAnswer: -792*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/30 and -19\/1420.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 5.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 3 = 33 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/6 - 29*q**2\/3 - 95*q\/6 + 77.\nAnswer: -(q - 2)*(q + 7)*(5*q + 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 5*d**2 - 31.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejd when three letters picked without replacement from sjcdedj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 401\nAnswer: -30\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -8. Let q = f - 14.8. Let y = -0.2 + q. Which is the closest to -1? (a) -0.2 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-117) + (4 - (-242)\/(-52))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 3*n + 3. Let o(b) = 3*b**2 - 4*b + 4. Let v(f) = 2 + 6 - 2*f + 3*f. Let w be v(-6). Suppose -w*d - 4 = -d. Give d*g(h) + 3*o(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200433 (base 7) to base 13.\nAnswer: -12528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460176 - 684741937\/1488. What is the common denominator of v and -43\/1116?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525476, 1050961, 1576446?\nAnswer: 2101931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2. Let o be r(1). Suppose -o*f = c + 6, 5*c + 30 = 2*f - 6*f. Let s = -4 - c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + q**2 - 3*q**2)*(19 + 9*q - 19 + (7 + 4 - 6)*(2*q - q - 2*q) + 5*q - 2*q - 2*q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3 (c) -4\/3 (d) 50\/361 (e) -176\/5 (f) -0.01 (g) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 41. Let t be (-94)\/(-18) - 2\/9. Suppose t*i = 25, 5*q - i = -4*i + 1060. What is the highest common factor of c and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 106. Suppose 0 = -x*w - 3*b + 208 + 1649, -2*w + 745 = -b. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000492767 rounded to seven decimal places?\nAnswer: 0.0000493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.41 (b) -332 (c) 0.3 (d) -4\/25 (e) -0.5 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100110100010010?\nAnswer: 100110100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**3 - 19*q**2 - 6*q - 2. Let s(y) = -8*y**3 + 16*y**2 + 5*y + 2. Let u(c) = -6*o(c) - 7*s(c). Calculate u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n + 22. Let m = n + -19. Suppose r + 72 = 7*r. Solve 0 = 3*k - 3*v - r, -m*v + 1 - 14 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let h(y) = -25544*y. What is h(t(d))?\nAnswer: -51088*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.097 - -0.0989. Round z to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 - 5*j - 4. Let u be w(6). Let x(n) be the second derivative of -n + 0 - 1\/12*n**4 - 2*n**u - 2\/3*n**3. Find r such that x(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319532 by -68.\nAnswer: -4699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 2*k**2 + 3*k**2)*(-5*k + 3*k + 0*k)*(-2 + 4 - 3).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/360 - r**5\/8 - r**4\/6 - 12*r. Let q(n) be the third derivative of w(n). List the prime factors of q(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 10)\/(2\/(-4)). Suppose 0 = 5*c - c - h. Let r(p) = -34 + 34 + c*p. Let k(y) = -y. What is k(r(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2953 - 2950.749. Round t to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20 - 31) + 13 - 19) + 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**29*(t**(-1\/4))**(-16))\/(t**(1\/3)\/((t\/(t\/(t\/(t*t**(-1\/3)*t))))\/t))**34 assuming t is positive.\nAnswer: t**(-227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Let k(c) = c**2 - 2*c - 2. Suppose 2*m + 3 = -1. Let b be k(m). Solve -h + b = -w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491145 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssgsssgssssgssssg. Give prob of sequence gg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 932*b + 61*b - 2.\nAnswer: 993*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153) + 5 - (-4 + sqrt(17) + -1)).\nAnswer: 2*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 14*w + 52. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 - 40. Suppose 0 = -4*r + d + 123. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 35*r**2 - 97*r - 77. What is w(4)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 1773?\nAnswer: -3191.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.039 and 3?\nAnswer: -9.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 4*w - 392, -1428*y + 2859*y - 49 = 1430*y + 4*w for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylll when four letters picked without replacement from llylllyllyyy.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 6. Suppose 0 = -2*k + v*k - 32. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/21 + (-2)\/(-7). Let z(m) = -m + j*m - 3*m - 9 + 4. Give z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -67. Suppose x + 22 = 5*d, -4*d + 2*x = -3*d - a. What is the remainder when 10 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*v = 3*f, -4*f + 3*v = 0. Suppose -13*k = -22*k - 81. Is k greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 17*v + 0*v**2 + 17*v. Let a(l) = -5*l. What is a(y(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448980 rounded to the nearest ten thousand?\nAnswer: 2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(-4 + 6*((sqrt(22) + -1*sqrt(22))*1)\/sqrt(2))*4)**2.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -20, 4*t = -0*h - 3*h + 17. What is the second smallest value in -0.3, 12\/5, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 + 3*q + 3208. List the prime factors of o(0).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 3. Suppose 5*d - c = c + 18, 0 = 3*d - 2*c - 14. Let h = 0 - 0. Suppose h = -4*z - g - 13 - 5, 0 = z - d*g. Determine p(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 + p + 3*p**2 + 288794 + 3*p - 288809 to the form d*p**2 + w + q*p**3 + t*p and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/(y\/y**(1\/2)))\/(y\/y**(-1))**(-19) assuming y is positive.\nAnswer: y**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 159*k - 25. Let x(q) = -2*q. Determine x(l(s)).\nAnswer: 6*s**2 - 318*s + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126.9 - -2.9. Let c = 158.7691 - 282.774. Let m = c - q. What is m rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 72. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2 + 14. Let b(n) be the first derivative of -5*n**2 - 8*n - 54. Calculate the least common multiple of b(-1) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(10)*1)\/(-1*sqrt(405)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44149, -89269, -134375, -179461, -224521, -269549, -314539, -359485?\nAnswer: -404381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x - 17. Let m be y(5). Let p(r) = -9*r**2 + 7*r + 1. Let v(w) = 5*w**2 - 4*w - 1. What is m*p(f) + 5*v(f)?\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 11435*b - 11434*b + 5*p, 0 = b + 2*p + 14 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57 + -0.07. Let k = -34035.7399982 + 34035.24. Let z = k + m. What is z rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2662 - 2658. Let a(w) = -11*w**3 - 4*w**2 + 4*w - 4. Let q(o) = 210*o**3 + 77*o**2 - 77*o + 77. Calculate b*q(u) + 77*a(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1419*b + 1626*b + 280*b + 2319*b - 1075*b + 3*b - b - b + (1 - 1 - b)*(-3 + 0 + 1).\nAnswer: 4572*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + 6 + -6 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*v - 12. Suppose -i - 2*i - v*b + 9 = 0, -4*b + 13 = i. Suppose 3 = y + i. What is the greatest common factor of y and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-63)\/12) + (-2)\/8. Let b = 5 + 7. Find the second derivative of 0*z - b*z + 5*z**4 + 0*z**4 - 2*z**u wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (196744\/(-36))\/(28\/(-126)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 + -242 + -132 + -7\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. What is the third biggest value in -1, b, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 4*a - 54818 + 54727 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -2, 55 in decreasing order.\nAnswer: 55, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(441)*3 + sqrt(441))\/sqrt(7)*3)\/((-1*sqrt(99)*-3)\/(sqrt(1100)\/sqrt(4))))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41890 divided by 174?\nAnswer: 20945\/87","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 99687937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4494173 is divided by 110.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64227, 64226, 64225?\n\"Answer: -o + 64228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y**2 + 1241*y - 12. Let j(r) = 5*r**2 + 620*r - 5. Give -3*g(o) + 7*j(o).\nAnswer: -o**2 + 617*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3, 1\/26, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f**2 + 1. Let h(g) = 20*g**2 - 20*g - 1. Let l be h(1). Determine m(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:55 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -65 + (7 + 4 - (16 - 14)) + -4\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176 or -11742\/67?\nAnswer: -11742\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 1. Let j(m) = -432 + 240 + 192 - m. What is 4*j(q) + o(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75116\/16 - (-15)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, r: 2, b: 4}. Give prob of picking 1 b, 1 k, and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 7*x + 5. Let r = -1 + 0. Let t(g) = -g + 1. Let m(o) = -3*o + 3. Determine r*t(s) + x*m(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = 34*t + 12 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*b*t**4 - 9*b*t**3 + 2*b*t**2 - 2*b - 6*t**4 + 11*t**2 + 14 wrt t?\nAnswer: 2040*b*t - 54*b - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.22?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-4)\/((7560\/48)\/(-45)).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-4) + -10423*(-12)\/336.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1024530107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 196*x + 12. Let v(q) = 263*q + 12. Let h(b) = -4*j(b) + 3*v(b). Let r(u) = -u**2 - 49. Calculate r(h(a)).\nAnswer: -25*a**2 + 120*a - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(66) + sqrt(66))\/sqrt(6) - (sqrt(99) + 1 + sqrt(99) + -2)**2) + 2.\nAnswer: -395 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d**2 - 1404*d + 2266. What is t(-142)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2.1944.\nAnswer: 10.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609 - 37*z + 94*z + 610.\nAnswer: 57*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 364000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3623 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9468 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 31980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14882374 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2\/5, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1753516 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/665)\/(6\/(-15))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -974 - -532. Let f = 447 + b. Solve -f = -q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -0.1, 816, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.4\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = 185. Suppose f = -4*f - 120. Let x = f - u. Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.286, 3\/2, -2, -986\/19 in ascending order.\nAnswer: -986\/19, -2, -0.286, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5281\/86 + -2576\/43. Find i, given that q*i**4 + 1\/4*i**5 + 9\/4*i**3 + 0*i + 0*i**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85159 greater than or equal to 85162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248.5214 + -248.5. Let d = 2790 - 2781.8086. Let o = m - d. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 109. Let u(p) = -6*p - 64. Let y(b) = -2*b - 24. Let o(a) = 3*u(a) - 8*y(a). Give o(x(k)).\nAnswer: 4*k - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 7586*c - 22767.\nAnswer: (c - 7589)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 7*f + 8. Let d(k) = -2*k**2 - 8*k + 7. Let v(u) = -2*d(u) + 3*r(u). Let g = 81 + -72. What is the remainder when v(g) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4771.89 + 4716. Let r = s - -0.89. Let f = 54.9999943 + r. Round f to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 203030010?\nAnswer: 203030030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2694\/2245)\/((-3)\/(-9670))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = -24. Suppose -v + 1 + 1 = 0, -5*d - 3*v = -o. Suppose d*m = -m + 220. Calculate the greatest common divisor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*j - 3*j = 14, 11 = -5*p + j. Which is the smallest value? (a) 1\/5 (b) -31 (c) p (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -321.7 and 13.3?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7952857488471 - 35.\nAnswer: -7952857488506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x**2 + 2*x + 5. Let y be z(4). Let b = y + -95. Calculate the highest common divisor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*x**4 - 163 + 45*x**4 - 756*x**4 with respect to x.\nAnswer: -2796*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12255*k**2 + 56*k + 271. Is h(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Let k(m) = m - 3. Let q(l) = l - 4. Let i(h) = 2*k(h) - 3*q(h). Let f be i(-9). Solve -w*c + f = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 188*u**4 + 308 - 102 - 16*u - 105 as x*u**2 + s*u**4 + t*u**3 + y*u + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 12\/(12\/(-4)). Let o(k) = k**2 + 10*k + 19. Let b be o(a). Is -2 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*n - n = -21, 4*p - 27 = -3*n. What is the lowest common multiple of 173 and p?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 59?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1220)\/100 - -13) + -1*2\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*p + 2, 28*p - 27*p = 4*w - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 16*l - 48. Let a(u) = -2*u**2 - 3*u + 9. Let h(q) = 16*a(q) + 3*p(q). Let i(y) = 85*y**2. Give h(i(n)).\nAnswer: -14450*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 8}. What is prob of sequence shhh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-14 + (10 - (-7 + -14))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 349140780 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4893018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4\/7 (c) -4.89 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 + 2*o - 1. Let l be j(1). Suppose -l = -2*b + w, -3*b + 2*w + 16 = -3*w. Differentiate -3 - 4 + b*z - 2 + 6 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzbpzoopozpzz. Give prob of sequence ob.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1087183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 536676 - 536633 = -15*h, -4*w = -h - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)\/((l\/l**(-3\/7))\/l*l))\/(l*l**(4\/3)\/l)**(3\/17) assuming l is positive.\nAnswer: l**(-2935\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6. Let p = -78 + 85. Let i(b) = 38*b**2 + 2 + 5 - 37*b**2. Let f be 57\/9 + 2\/(-6). What is f*i(n) + p*q(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403 is divided by 641?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:10 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.4, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, o: 2, w: 1, x: 2, t: 1}. What is prob of sequence octt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*b**2 + 5)*(-3*b**3 - 3*b**3 + b**3)*(1 + 3 + 0).\nAnswer: -60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.3 - 100.47. Let n = -3.49 - g. What is n rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275193?\nAnswer: 7, 11, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/5 - 9*i**3\/5 + 3*i**2 - 7*i\/5 = 0. What is i?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Suppose 6*k + 0*y = -2*y + 14, 7 = 2*k + 3*y. Let c(i) = -49270*i**2 + 49293*i**2 - 2 + 2*i + k. Determine h(c(o)).\nAnswer: -69*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 6, -175, 1307\/3 in increasing order.\nAnswer: -175, 0.5, 6, 1307\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*j - 22 = 0, -2*j + 20 = 2*w + 2*j. Differentiate 13 - w + 33 - 7 + 17*v with respect to v.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 5*q. Let s(m) = 241*m**2 + 4*m - 1186 - 238*m**2 + 1187. Determine 5*c(v) + 6*s(v).\nAnswer: -2*v**2 - v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*j**5 + 8969*j**3 + 6*j**2 + 1212*j + 2012 wrt j.\nAnswer: 420*j**3 + 53814*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/3 + 2365385*r**2\/3 + 93251164200*r + 93250375740.\nAnswer: 5*(r + 1)*(r + 236538)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8680 - 13072*b - 1561*b**2 + 13071*b + 106*b**2 with respect to b.\nAnswer: -2910*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let m(c) = 5. Let b(h) = -4*l(h) - m(h). Let u(w) = -9*w + 2. Let v(s) = -2*b(s) + u(s). Let j(d) = 4*d - 2. Calculate 5*j(x) + 2*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*x - 2*j, -5*x + 35 = -3*j - 40. Suppose 2*h = x - 5. Let k be ((-2)\/5)\/(18\/(-15)). What is the third biggest value in k, 4, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/8 - 3\/(-12). Let k be s\/1 + -1 - 2. Let o = -1.40517 - -1.04517. Is k bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)\/((-12)\/(-4) + -2). Put b, 4, -5, -1 in decreasing order.\nAnswer: 4, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 648*h*s**4 - 7*h*s**3 + 2*h + 2*s**4 - 66528*s**2 wrt s.\nAnswer: 15552*h*s - 42*h + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -62*z. Let p(f) = 475665*f. Give a(p(n)).\nAnswer: -29491230*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 1 = -3*i, 0*w + 13 = 4*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + i + 4. Let g be z(2). Let u be (-44)\/(-3)*(-15)\/g. Suppose -23*b + u*b = 0. Solve -5*n = b, 0 = -5*q - 2*n + 5 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.06378955 + -1.0641. What is t rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) 3\/7 (d) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3722982*h**4 + 843761*h**2.\nAnswer: -89351568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -w, 0 = -2*w - 2*w + a + 79. Let p = -16 + w. What is the second derivative of -7*c**5 - 15*c**p + 2*c + 7*c**5 wrt c?\nAnswer: -300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8341 divided by 11700\nAnswer: -8341\/11700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0. Let u = 0.16 + x. Let k = 4.9 + -5.3. Sort u, 1\/4, k in increasing order.\nAnswer: k, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42969640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = g - 0*g. Let j = 28 - 24. Suppose -i - 12 = 3*i, -j*i = 2*f - 36. What is the highest common factor of f and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(31\/(-248)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = 7616*q - 7553*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2874 - -6850?\nAnswer: 10834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15616 is divided by 4830.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 811, -0.024, 5\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -r, 0 = 3*k - 4*r - 7 + 17. Let n(z) = 168 - 10*z**k + 176 - 324. Let p(b) = 1. Determine -n(t) + 20*p(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z = 86 - 1016. Solve -9*b + z = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2480 = 3*y + p, -10*p + 5*p = -25. Calculate the highest common factor of y and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 28800*q**3.\nAnswer: -4*q**3*(q + 7200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1689641018 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 144*w - 18833. What is k(227)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-7 - (-3)\/((-27)\/(-45))) + (-1 - -21101)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3 = -13. Let i be (-212)\/420 + 1 - f\/5. Which is the smallest value? (a) i (b) 0.07 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21b9 + 2b16?\nAnswer: 94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -106, -143, -204, -295, -422?\n\"Answer: -n**3 - 3*n**2 - 3*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.1, -125978, 0.1, 4\/5, 4?\nAnswer: -125978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12119 - -400003\/33. Find the common denominator of w and 30\/(-40) + 590\/168.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s + 4. Let x be m(0). Suppose 0*g - x*g + 12 = 0. Suppose -g*q = -8*q + 60. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29598589\/2 at least as big as -14799296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 4. Let x(o) = -4*o + 5. Let q(c) = c**3 + 8*c**2 - 2*c - 7. Let d be q(-7). Let k = d + -53. What is k*p(s) - 2*x(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*m + 290 = -f + 6*f, -3*m - 278 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-80)\/12*(-228)\/16 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3346 and 40.\nAnswer: 66920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = 3*q + 3*x, -3*q = x + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 51760550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 40578936*m + 102915627930756.\nAnswer: 4*(m - 5072367)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(-3*w**2 + 0*w**2 + 2*w**2) - 3*w**3 - 9*w**3 + 6*w**3 + 0 + w**3 + 0 + (-w**2 - w + w)*(2*w + 7*w - 4*w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 245.4. Let h be 4\/(6\/(-12) - (2 + -2)). What is the nearest to -1 in -0.1, z, 5, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61, 19, -4 in decreasing order.\nAnswer: 61, 19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/3 - 914*z\/3 - 761464 = 0.\nAnswer: -1122, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 12*s**2 - 21*s - 7. Let o be w(-10). Suppose 3432 = 3*c - 3*q, c + 6*q = o*q + 1124. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72910 and 27830.\nAnswer: 8822110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-15)\/(-10) + 6\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*s**3 + 18*s**2 + 915*s wrt s?\nAnswer: 126*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980)*-3 + sqrt(980) + sqrt(20))\/sqrt(4).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/619506 and -113\/136584?\nAnswer: 17346168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1\/(-3)*0. Let r(v) = -4*v + 8*v + o*v. Does 9 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*j - 10 = -12, -4 = 2*b + 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/4))**(-3\/10))**(-1\/15) assuming z is positive.\nAnswer: z**(3\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 9*i**2 + 8*i - 5. Let j be a(-6). Let w = -43 + 13. Let v be (w\/(-12))\/(1\/2). Calculate the highest common divisor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7517612?\nAnswer: 2, 29, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -1369, -1375, -1383, -1393, -1405, -1419?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*y - 57, 0 = -0*y + 4*y + 3*f - 38. Suppose -5*c + y = -9. What is the second derivative of 7*w**3 - w**3 + 2*w - c*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 223*p**2 + 33*p**2 + 4*p**4 + 208*p**2 + 5*p**3 as j*p**4 + s*p**2 + a*p + m*p**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -2, 1, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let r(g) = -7*g**2 - 4*g**2 - 12*g**2 + 31*g**2. Determine r(z) - 3*s(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*v. Determine d so that 6*d**3 - 6*d - v*d**5 - 2*d**3 + 2*d**3 + 3*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/2*17\/68. Let r = -7 - -13. Suppose 0 = -c + r*c + q*c. Is c not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*t + 16 = 0, 2*r - t = -2 + 6. Suppose 9*j - 6296 + 2336 = r. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(((m*m**(-1\/3))\/m)\/m))*m**(-6)*(m*m**(1\/4))**(1\/10))\/(((m**(2\/13)*m)\/m**3)\/((m**(3\/5)\/m)\/m**(-4))) assuming m is positive.\nAnswer: m**(-2749\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/74 and -87\/574?\nAnswer: 21238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31803078 times 4?\nAnswer: 127212312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117) - sqrt(117))**2*-4*6.\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 7*z**2 - 13 + z**2 + 9*z**2 - 2*z - z.\nAnswer: -9*z**2 - 3*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:10 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 50. Suppose 36 = 7*a + 2*a. Let x = 6 + -6. Solve x = -a*i - i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-112)\/(-6) + 2\/6. Let f = -1 + q. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -16 + (-3 - (-2 + -3) - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(88))\/(sqrt(8) - (sqrt(8) - sqrt(8)*-3*-3)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*m + 16 + 11, -3*m + 53 = 5*v. Let n(g) = g**2 + 7*g - 2. Let r be n(-7). Let w = r + 3. Calculate the smallest common multiple of v and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.516979 take away 143157?\nAnswer: -143164.516979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:28 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 0 - 24. Sort -0.3, -0.069, -2, v.\nAnswer: v, -2, -0.3, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*m - 54. Let l(z) be the third derivative of -z**4\/3 + 4*z**3\/3 + 6*z**2 - 2*z. Is 11 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Solve -8*w - 26 = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*m**3 - 222955*m**2 + 91325775.\nAnswer: 111*m**2 - 445910*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5570 (base 15) to base 11.\nAnswer: 1266a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + 59*k - 5. Calculate the lowest common multiple of v(-10) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - y**2 + y**2)*((-4 + 4 + 1)*(0 + 0 - 2) - 2 + 2 + 8) to h*y + d + p*y**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 41, 74, 101, 110?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 27\/409 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + (0 - 1). Suppose -2*a + 30 = x, 0 = 9*a - 10*a - 4*x + 8. Is p + (a\/4 - -464) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-76)*2\/252*16)\/((-27)\/7)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59662688?\nAnswer: 2, 59, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2268 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5365178 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -191. Suppose 5*x = -b + 39, -48 = -s*b - 2*x + 22. Calculate the remainder when 115 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16029240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 12*a**2 + 3*a + 34. Let v be l(-12). Is ((-8857)\/(-17))\/(v\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-16)*8\/(-6). Which is the third biggest value? (a) -7 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/(1\/24). Suppose -h = -0*h - r. Solve -5*v + h = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9511109*o**3 - 11554554*o**2.\nAnswer: -57066654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -28.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 18. Let h = 3.999947 - r. Round h to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h + 44*h - 63*h - 93. Let u be n(9). Solve 9*k + 9 = u*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 154?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93905778?\nAnswer: 2, 3, 37, 131, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 1. Let r = -5 - v. Let i = r - 7.025. Round i to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -84. Suppose 0 = 3*a - n + 9. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5436 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-2) + ((-5)\/20)\/(12\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*j**3 - 145*j**3 - 145*j**3 + 1022*j + 1695*j - 137*j**3 to b + i*j + s*j**3 + z*j**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 11, i: 6}. Give prob of picking 1 g and 2 d.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46788797 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*2*1. Find the second derivative of 2*k**s - k**3 + 4*k + 29 - 29 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f - 11. Let b be z(10). Let c = b - -100. What are the prime factors of 3 + -5 + 1 - c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5070 and 10686.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(931)*-2 - sqrt(931) - (sqrt(931) + 3*sqrt(931)*1)) + -5*sqrt(931)*2*6)*2)**2.\nAnswer: 16717036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:06 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251357\/188 - 1337. Let h = o + -397\/3948. Let n = 1 + -1\/2. Which is the smallest value? (a) 7 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/23)\/((z\/z**(3\/14))\/z))**19)**16 assuming z is positive.\nAnswer: z**(14744\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 254 and 6?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and -11\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/6 + (363568\/96 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2224 and -58388.\nAnswer: 129854912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2027.8 + -2027.7242. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33294.\nAnswer: 2, 3, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -11*v - 4. Solve 26 = v*d + 4*a, -10 = d - 3*a + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 398, 565, 662, 665, 550, 293, -130?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*c*y**2 + 33*b**3*c*y + 361*b**2*c*y**2 - 7*b**2*c*y - 3*b**2*y + 2*b*c*y**2 wrt y?\nAnswer: -2*b**3*c + 722*b**2*c + 4*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4007+48842123007\nAnswer: 48842119000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*p - 9*s + 7, -2*p = 5*s - 9*s + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/2200)\/((-1)\/(-20))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + 1. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17*h. Let u(y) = -3*y - 4*y + 9*y. Determine m(u(n)).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2946, -2, 4, 0 in increasing order.\nAnswer: -2946, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2. Let h(f) = 2*f. Let q = 15 + -13. Suppose q*m + 3*m = -65. Let r(i) = i. Let g(b) = m*r(b) + 6*h(b). Determine g(w(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from yrqyyyqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/56 - -2\/7. Let o = -0.1 - 0.9. Which is the nearest to -0.2? (a) h (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 + 4*h - 7. Let w be ((-44)\/(-33))\/(2\/(-6)). Let a(p) = p**3 + 4*p**2 - 3*p + 6. Calculate w*f(n) - 5*a(n).\nAnswer: -n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 + 1.79. Let z = 0.1939 + -0.0939. Which is the nearest to z? (a) -2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*h**5 - 4*h**4 + 23*h**3 - 382943*h?\nAnswer: -640*h**3 - 48*h**2 + 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -6. Let l be (4\/10)\/(24\/75). Let s be ((-3)\/11)\/(3\/2). Sort s, l, k in increasing order.\nAnswer: k, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -995*j - 589040. Give f(-592).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007006343 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -408, -1797, -4112, -7353, -11520, -16613?\n\"Answer: -463*b**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7198380, 7198391, 7198404, 7198419, 7198436, 7198455?\nAnswer: 7198476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11236, -9540, -7846, -6154, -4464?\nAnswer: -2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 6. Let q(v) = 15*v - 80. Give 2*q(a) + 18*x(a).\nAnswer: 12*a - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 10*b**2 + 2*b + 113. Let l be r(-9). Let a(f) = f**3 - 14*f**2 + 4*f - 16. Give a(l).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, -37, -108?\n\"Answer: -71*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15573577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let s(l) = -372229*l. Give p(s(r)).\nAnswer: -744458*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*c = 20, 5*v + 2*c = c - 14. Calculate the common denominator of -1 - (-4)\/v - (-396)\/(-24) and -111\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169385716?\nAnswer: 2, 42346429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*n - 29 - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/12 - x**4\/8 + x**3\/6 + 4*x**2. Let z be r(2). What is the greatest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -186 and 58?\nAnswer: -10788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417984 is divided by 1861?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*q - 8336853, 3*n = 6*n - q - 8336849. Let m = n + -1929949. Round m to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/(756\/(-16) + -638 + 653)?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -b6b (base 12) to base 11\nAnswer: -1286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z - 53*z + 39*z + 89*z.\nAnswer: 120*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2590 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3300665 and 0.4.\nAnswer: 3300665.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 254.7. Let k = -0.3 + -0.7. Which is the nearest to -1? (a) k (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 6*f + 7. Let b = 140 - 147. Let m be b + 0 + 0 + -6 + 7. Calculate l(m).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84453235 to the nearest integer?\nAnswer: 9190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*i - 4 - 12, 5*f = 2*i + 28. Calculate the least common multiple of 9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001000110 (base 2) to base 3.\nAnswer: 21211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 375.3394402735.\nAnswer: 375.9394402735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 5*s + 3 - 2*s**2 + 8 - 2. Let o be c(3). Find the third derivative of -3 + o + 28*n**5 - 30*n**5 + 4*n**2 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 4*j)*(10608*j + 563*j**3 - 10608*j + (-3*j**2 + 0*j + 0*j)*(-j - 3*j + 2*j) + j**3 + 5*j**3 - 5*j**3).\nAnswer: 1140*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 - -275. Let q be (-9 - -9) + (j - 0). Let x = 0.9 - 1. What is the third biggest value in x, q, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 - 13*a**4\/12 + 13*a**3\/6 - 3*a**2\/2 + 2*a. Is f(12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s\/s**(-13))\/s)**(-44\/5)*s\/s**(4\/7)*s**(2\/45) assuming s is positive.\nAnswer: s**(-44203\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(45\/22))\/((-6)\/15). Solve 7 + h = -6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59305509 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 94 + 18. Let m be 6\/2 - 3\/3. Suppose -3*s = -0 - 9. Solve 3*f - 4*i - b = 0, s*i = m*f - 3*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-72))\/(2\/36). Solve 0 = -b*z - 6 - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*x + 1101*x - 76*x = 381*x + 42672 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3064086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 2\/9, -1\/4, 2, 0.3 in descending order.\nAnswer: 2, 0.3, 2\/9, -1\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**2 - 2*u + 8. Let s be h(6). Suppose -468 = 5*y - 3*i + 331, 5*y + 802 = 4*i. Let d = y + s. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1504)\/(-940))\/(1\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66150150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2471 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1 + -6 + -11 + 110 and 32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.022 + -2.162. Are r and 74\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/3 + 674*p\/3 - 55160\/3 = 0.\nAnswer: 140, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -34. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2001010221 (base 3) to base 14\nAnswer: 10917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssskssssss. What is prob of sequence kl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553086?\nAnswer: 2, 17, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 109*y - 4. Let j(h) be the second derivative of -h**3\/6 - 34*h - 9. Calculate j(f(w)).\nAnswer: -109*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*y - 1272463 = 18125*y for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/264 + 68\/(-22))*(-4 + 3). Solve -2*z + 3*s - 7 = 9, -l*s + 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y)**(1\/14)\/(y**(1\/6)\/y**(-2\/7)) assuming y is positive.\nAnswer: y**(-53\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.712 - -1.849. Which is the closest to -0.1? (a) x (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 9. Let o = p - -2. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-1) + -6 + 29 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let p(c) be the first derivative of 175*c**2\/2 - c + 4747. What is p(h(m))?\nAnswer: -525*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - 2 - (617 + -631).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*w**3 + w**2 + 29.\nAnswer: -21*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4977.5952 - -5034. Let w = j - 56. Let k = w - 0.4. What is k rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7609212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 17*p - 6*p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -21 - -7 - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k - 2. Let d be z(4). Suppose 2*m - 366 = 3*w, -3*m + 3*w = d*w - 535. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -377016 + -160?\nAnswer: -377176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 35*w - 62. Calculate the remainder when f(23) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, -56, 130, 0.2, 2\/13 in descending order.\nAnswer: 130, 0.5, 0.2, 2\/13, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -3109508.\nAnswer: -3109507.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1167252 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(1872) - (1 + sqrt(1872) + -1*sqrt(1872) + sqrt(1872) + sqrt(1872))) + -3 + -2 + -5.\nAnswer: -36*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 60 + (-46 - -19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**13)**17\/(y**(-28)*y**(-35)) assuming y is positive.\nAnswer: y**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -23. Let f be ((-7)\/4)\/(x\/8). Solve 16 = 4*y, 0 = 2*l + l + 4*y - f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 44430952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -404, -8\/3, 2\/9, -0.005?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16.9894. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43619328 rounded to two dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44996 - -44995.90599584. Let g = -234.906 - -235. Let z = g + k. What is z rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -89, -160, -259, -386, -541, -724?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/z**(-1\/8))*z**(-3\/11)*(z**(7\/6)*z)\/(z\/(z\/(z\/(z*z**(-12))))*z) assuming z is positive.\nAnswer: z**(-2701\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 1391*z = -1387*z - 30, 5*y + 5*z - 35 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 339*l + 315*l - 644*l - 14. Let h(z) = -7*z + 9. Calculate 8*h(k) + 5*y(k).\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8413*g - 117785. Calculate u(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 4*m - m**4 - m)*(92 - 64 - 1038).\nAnswer: 1010*m**4 + 9090*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/5 + (-12)\/30)\/(-4) - (-138376)\/118608.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.222 - -1.688. Let h = 0.09 + w. Let z = -1170 + 1174. What is the fourth biggest value in 13, z, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(1*39\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 3*h - 2*h + 6*h + (-8*h - 12*h - 8*h)*(-5 + 2 + 2).\nAnswer: 29*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1373 + 2357.7. What is c rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-40)*2)\/(1\/5) + -1663. Which is smaller: -1664 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3\/7 + 60*a**2\/7 + 13572*a\/7 - 54756 = 0 for a.\nAnswer: -63, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 1753061874\nAnswer: -1753061874.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 57, 66, 75, 84?\n\"Answer: 9*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 0, -0.1, -21, -0.01011, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 1313. Let t(m) = -241*m. Determine t(g(q)).\nAnswer: 723*q - 316433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 13192650 and -13.\nAnswer: 13192637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*z**4 - 109*z + 109*z + (-1 + 1 + 2*z)*(2*z**2 - 2*z**2 - z**3) + z**4 + 7*z**4 - 7*z**4 - 6*z**4 - 25*z**2 + 25*z**2.\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 1\/38*x**4 + 2*x + 0*x**2 + 1\/190*x**5 + 2\/57*x**3 + 0. Find i such that a(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 23. Let p = 24.0000029 + r. What is p rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3 + 2*s - 2*s - s + 0. Suppose -6 = -3*d, -2 = -5*v - 5*d - 7. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517524 divided by 172508.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 2*z + 3. Let y be g(2). Let k(h) = -18*h - 1. Suppose -46 = 41*o - 235 - 1164. Calculate the remainder when o is divided by k(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**4 + 0*s**3 - 86*s**2 + 0 + 219*s + 39\/10*s**5. What is the first derivative of b(a) wrt a?\nAnswer: 234*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23232, 6\/11, 1\/3, -2\/19, -1.2.\nAnswer: -1.2, -2\/19, 1\/3, 6\/11, 23232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12834 is divided by 12828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2431481 millennia?\nAnswer: 2917.7772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - p + 41 = -5*p, 0 = 4*x - 3*p - 33. Calculate the least common multiple of 2 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.233 + -44.233. Put 0.4, g, 1\/3 in ascending order.\nAnswer: g, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3540 and 35580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*((u\/(u**(-3)\/u))\/u)\/u)\/u)\/u)\/(u*u\/(u**(-2\/15)\/u)))**(1\/10)\/((u\/(u\/((u**0\/u)\/u)))**(1\/33)\/((u\/(u**7\/u))\/u**8)) assuming u is positive.\nAnswer: u**(-7179\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 - 186*o - 1537. Give g(-24).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53165, -106310, -159433, -212522, -265565, -318550?\n\"Answer: 2*j**3 - j**2 - 53156*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**3 - a + 9*a**3 + 3*a + 4 + 2*a**4 in the form z*a**4 + l*a + r + q*a**2 + j*a**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 67 = -4*f + 27, 0 = 5*f - 3*j - 145. Suppose 2*s - 16 = f. Solve -l - 5*q - 3 = s, -5*l - q = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1 = 5*h - 41, 40846*h = 40844*h + 7*q - 29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 25*v**6\/3 - 42*v**5 + 79*v**4\/2 + 30*v**3 - 32*v**2 - 24*v - 32. Find h such that z(h) = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n + 4 = 0. Let x = n + 1. Let z be (0 + 0 - x)\/2. Solve -3*s + 5*p + 12 + 2 = z, 5*p + 24 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -8788.\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 673345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3, 7*i = c + 2*i + 14. Solve -6 = j - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 809861 and 912.579117.\nAnswer: 810773.579117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 99*v - 98*v - 9*v**3 - v**4 + 7*v**2 - 4*v**2 - 17 - v**4 to the form n*v**4 + g*v + k + q*v**3 + z*v**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((4\/12)\/((-1)\/(-3))). Solve 5*t + 4 = -4*s, o = -6*s + s + t - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:49 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -91 + 53 + -2 - -5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -20*j - 2*j + 14*j + 645 for j.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1929 (base 12) to base 6\nAnswer: -22053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -40. Let h = m - -37. Calculate the lowest common multiple of 8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185.025 - 196.0227. Let y = 11 + z. What is y rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*x - 85*x - 60 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 25*t + 6 - 16 as j + w*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1584 divided by 2.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-8)\/11) - 2. Let f(p) = p**3 + 6*p**2 - 6*p + 10. Let s be f(-7). Factor 0 - 1\/4*x**4 + 1\/4*x - 3\/4*x**2 + u*x**s.\nAnswer: -x*(x - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.98662 litres to millilitres.\nAnswer: 2986.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5376322.\nAnswer: 2, 7, 37, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2)*(0*z - 17*z + 0*z)*(2 - 12 - 13) to i*z + u and give i.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (12\/(-8) - 255\/(-30)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 0.07\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - c**2 + c + 1. What is the remainder when (-4240)\/120*(-4 - (-10)\/4) is divided by x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 1121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*n + 56*n - 8. Let k be 10 + 2\/(n - 1). Factor -10 - 370*y + 335*y + 8*y**2 + k*y**2.\nAnswer: 5*(y - 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 + 12*h - 2. Let c be o(-3). Suppose -3*j + 75 = j + 5*l, 105 = 5*j - 5*l. Let x be 12\/j - c\/(-10). Solve x*q + 2 = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4822 + -4820. Solve -8*b = -13*b - 5*u - 30, -5*b + 3*u = -j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 20269352.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(504) + 1*sqrt(504))\/(-1*sqrt(1152)).\nAnswer: -3 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 195928*j\/3 - 4798472648\/3.\nAnswer: -2*(j + 48982)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860141 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 3. Suppose -z = -4*z - 15. Let d be x(z). Solve -a = 2*a + 3, o + d = -2*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692601?\nAnswer: 3, 7, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -49*((-27)\/18)\/((-9)\/(-6)) and 63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.008*-0.64\nAnswer: -3.20512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5+-169937\nAnswer: -169942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10072*c. Let u(p) = p**2 - 9*p. Determine u(q(y)).\nAnswer: 101445184*y**2 - 90648*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s - s)*(5 - 2 + 5) - 45*s + 82 - 34 - 46 to the form h*s + u and give h.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-7)\/((-28)\/15048). Suppose -h = -10*b + 6*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -10.1. Let s = -8 + v. Let z = -2 + 2. Which is the closest to z? (a) 0.4 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v + 26. Let m(b) = -5*b + 13. Let s(g) = 2*f(g) - 5*m(g). Let j be s(6). Suppose -1 = j*n + 4, 4*q = n + 121. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2827920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 8. Let y be n(5). Let i(t) = -t - 17. Let u(q) = -3*q - 52. Let r(a) = y*u(a) - 7*i(a). What is r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 9*j - 24. Let k be x(12). Let i be k\/3 + -1 - 3\/3. Let r be -1*3 + 12*-1*i. Are r and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-51)\/(-68)*(1\/(-4) - (-50)\/72). Let n = -392\/13 + 30. Which is the nearest to -0.06? (a) n (b) r (c) 1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172322222.8 rounded to the nearest one hundred thousand?\nAnswer: 172300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/43104 and -97\/8.\nAnswer: 43104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 7.3?\nAnswer: 7.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34213 and 10?\nAnswer: 342130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61 (b) 2\/9 (c) 3\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5669630.8 rounded to the nearest ten thousand?\nAnswer: 5670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -721776.28 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*b + 5*j, -51*b = -55*b - 5*j - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 82.77. Let o = 0.73 + d. Which is the closest to -5? (a) o (b) 5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009444 rounded to 4 dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16482453599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -81, -75, -45, 21?\n\"Answer: 2*x**3 - 6*x**2 - 2*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562627 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 4 = 0. Suppose h*b + 41106 = -2*b. Let x = -4249 + b. Round x to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29497 + 72575. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r + 2 + r**3 + r**2 + 5*r + 5*r. Let c be x(0). Let d(w) = w**3 - 5*w**2 + 4*w + 1. Let k be d(4). Solve 3*o + c = -k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5356537 days?\nAnswer: 12.8556888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*i + 10, -1 = -2*i + 1. Suppose 0 = 2*a - 4*j - 32, -15 = -j + 4*j. Let o be (a\/(-12))\/((-2)\/28). Solve -p*l = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (43 + 1 + -10 + 0 + -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 2.3. Let h be (-32)\/(-5) + (-8)\/20. Let d be (4\/h)\/((-377)\/39). What is the second smallest value in d, 3, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4795\/8220 - 3\/(-72)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -609, -2\/21 in ascending order.\nAnswer: -609, -5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**3 - 5*p - 1\/4*p**4 + 0*p**2 + 0. Let s(d) = -3*d**2. What is l(s(x))?\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 + -490.6. Which is the closest to 0.1? (a) -5\/3 (b) z (c) -507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1060*o - 1060*o - 53*o**2 - 11*o**5 + 13*o**2 wrt o.\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-5 + -7 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -54*c - 530 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 935, 40 in ascending order.\nAnswer: -25, 40, 935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 - 16091373*t = 0. Calculate t.\nAnswer: 0, 16091373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -28. Let t be -2 + (-14)\/(-6)*(16 - s). Suppose 0 = 5*a + t*u - 45, -9*u = -4*a - 7*u + 6. Solve c + 1 = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -9 + 7 + -5 + -1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 3830, 8622, 15300, 23840, 34218, 46410, 60392?\nAnswer: 76140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 1 + 1 - 2*t**2 + 2*t**2 + t**4 + (4*t**2 + 0*t**2 - 2*t**2)*(-2*t**2 - 2*t**2 + 5*t**2).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0155*0.575018.\nAnswer: 0.008912779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/15*t**6 - 4*t - 1\/6*t**3 + t**2 + 0 - 1\/42*t**7 + 1\/10*t**5 - 1\/3*t**4. Factor l(b).\nAnswer: -(b - 2)*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2835)\/(-15120))\/(38\/32).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, 0, -8, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.2. Let p(t) = t**3 + 11*t**2 - 59*t + 16. Let h be p(-15). Which is the nearest to u? (a) h (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2\/11 + 406112892*v\/11 - 6871986710358486\/11.\nAnswer: -6*(v - 33842741)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 640\/11 + -119\/2. Let a = p + 20\/11. Suppose -1\/4*d**2 - a*d**3 + 1\/4*d + 0 = 0. What is d?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 25. Suppose 3*z - 2*z - h = -5*x, -2*z - x + 13 = 0. Solve 5*j + 1 = z, 3 = -o + 2*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 27*x**2 + 32*x - 60. Let w be c(-28). Is (-7 + 24 + -15)*w\/(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 36 = -21. Let a be -1*x*5\/30*4. Factor -3\/2*w + 3\/2*w**4 + w**3 + 1\/2*w**5 - w**a - 1\/2.\nAnswer: (w - 1)*(w + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.0894t in grams?\nAnswer: 876089400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 136 = 7*k. Let l = k - -15. Suppose 0 = -5*c - r + 228, -4*r = -3*c - l*c + 213. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -99, -91, -83, -75?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 97 (c) -55210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(6) - (4*sqrt(60) + sqrt(60))\/sqrt(10)) + sqrt(6)) + 5 + -2 + sqrt(605))**2.\nAnswer: 64*sqrt(5) + 5201\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 4:59 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 - 44 = b. Let a(f) = -18*f**2 - 2*f + 2. Let n be a(2). Let w = n - b. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10307330, -10307332, -10307334?\nAnswer: -10307336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Let f be d\/(-4)*2\/1. Let z = 0.054 - 0.054. What is the second biggest value in 0.3, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/(-564))\/((-3)\/((-9)\/4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 11*a**2 + 14*a + 164. Let w be u(-11). Suppose 3*d = -2*z - 1585, -8*z + 1582 = -w*z - 4*d. Is z greater than or equal to -798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2367 and 2630.\nAnswer: 23670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42639 millimeters in kilometers?\nAnswer: 0.00000042639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + (-178)\/10)*10\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 7601?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxffmmmmxcxx. What is prob of picking 1 x and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1647426 (base 14) to base 4.\nAnswer: -221230133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z**2. Let f(n) = 12505134*n**2. Calculate h(f(s)).\nAnswer: 1563783763579560*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from izzfzzifiizzzz?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:26 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -490462.091 - -491311. Let s = g - 848. Round s to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 19 + 51)*(5*q**2 + 0*q**2 - 4*q**2) + (-3*q + 3 - 3)*(-4*q + 3*q - q) - 2*q**2 + q**2 + 4*q**2.\nAnswer: 102*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20 + 6*r - 7 - 5*r - 15 - r**2. Let n(w) = -18*w**2 + 15*w - 18. Let k(c) = n(c) - 15*t(c). Factor k(s).\nAnswer: -3*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008777 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5058.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10633 - 13032 = -5*f, -3*f - l = -14185. Suppose 3*j - f = -8*j. What are the prime factors of j?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101012010 (base 3) to base 12\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c - 57 = 0, -c - c = -4*y + 110. Suppose -88*f = -21 - 165 - 78. Let l be (-1 + -1)\/(-2)*0. Solve f*p + l*p - 5*o = y, -2*o = -3*p + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o - 21 - 14 + 30 - 45. Let a be u(4). Solve 0 = 3*s - 2*v + 14, 3*s - 2*s + 2*v = a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200211100010 + 12?\nAnswer: -200211022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h + 2. Let j(x) = -4*x + 6*x - 2 - 8*x - 1. Suppose -5*b = -4*r + 25, 0 = 4*b - b - 5*r + 15. What is b*s(t) - 4*j(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 6*k**2 + 5*k - 2. Let z be q(-5). Let t(l) = 0 + 5*l**2 - 37*l + 7 + z*l - 38*l + l**3. Determine t(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395218 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63168 and 7567?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v = 21*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 2, r: 7, a: 5}. What is prob of sequence bara?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*z - 32, m - 11*z + 12 = -6*z. Sort m, 2, -4 in decreasing order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 2, k: 2}. Give prob of picking 1 k, 2 r, and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -68000 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -710, -1416, -2120, -2822, -3522, -4220?\n\"Answer: b**2 - 709*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*r + 5*r. Let k = r + -10. Solve -k*i + 2*i + v - 17 = 0, 3*v = -2*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17290518 + -79\nAnswer: 17290439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(-5 - (2 - 2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 30. What is the remainder when 60 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191595 is divided by 4002?\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 + (3 - -15) - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 4, -691 in ascending order.\nAnswer: -691, -50, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fooffaoovfv. Give prob of sequence ffo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - 1) - 7 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from {r: 6, b: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379.4*1.\nAnswer: 379.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2379, 4747, 7111, 9471, 11827?\nAnswer: 14179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - (14 + (17 - (-8 - (-83 - -2)))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 724*d + 120. Calculate y(-1).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1248 and 31\/18?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -7*h**3\/2 + 7*h**2\/2 + 4*h - 6. Let m(d) = 11*d - 4. Give -6*j(s) - 11*m(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23127263 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 14 - 14. Let s(o) = -o**2 + 15*o + 10. Calculate the remainder when s(f) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4*l - 265*k*l + 20*l - 1 wrt k?\nAnswer: 12*k**3*l - 265*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.8, -3, 62, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.412708 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3195 divided by 5.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Let q(s) = 4*s - y - 4 + s + 3. What are the prime factors of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59155 is divided by 313?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - y**3 - 5*y**3)*(-y**2 + y**2 - 3*y**2) + 77*y - 77*y - 36*y**5.\nAnswer: -33*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 6. Let w be j(-9). Solve -w*x = 5*m + 23, -16 = -4*x + m + 4*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964326 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1056 (base 9) to base 2.\nAnswer: -1100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2660)\/(-399))\/((-65)\/1092).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 6. Let f(x) = x**3 - 19*x**2 - 25*x + 102. Let b be f(20). Solve 5*i - s = -a, b*i - 30 + 8 = -5*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*o = -10*r + 26, 0 = 3*r - 5*o + 3. Suppose 5*n = 3*d - 49, -r*d + 9*d - 5*n - 75 = 0. What is the remainder when 23 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 66.704?\nAnswer: -200.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 915301320*i - 69814708866145200.\nAnswer: -3*(i + 152550220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-4))\/24 + -1. What is the second smallest value in -1\/21, q, 0.5?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2216\/20 - (-2)\/10. Suppose -6*u - 5*v = -8*u + 39, -3*v = 3*u - z. Which is greater: u or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3047*g**2 + 7*g + 49. Let b(u) = 3961098*u**2 - 9099*u - 63693. Calculate 7*b(w) + 9099*c(w).\nAnswer: 3033*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/5621*42\/2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 17*o**2 - 20*o - 30. Let w be c(-18). Let p(m) = m**2 - 8*m + 11. Let x be p(w). Let y = 648\/7 + -93. Is y greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 - 74 + 46*s**2)*(2*s**2 + s**2 - 2*s**2 + (0*s + 4*s - 3*s)*(-2*s - s + 5*s)) in the form q*s**4 + h*s**2 + j*s + r*s**3 + w and give q.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 870\/7 + -124. What is the nearest to 2 in -0.2, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 70.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.002 + -0.902. What is the nearest to 0.1 in -2\/29, b, -4, -0.2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**3 - 2*f**2 + 4*f + 7. What is b(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 56 = -0. Let m(p) = 2*p + s - 1 - 6. Calculate m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let p = 79 + -69. Which is the second biggest value? (a) x (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m - 29 - 34*m - 2*m with respect to m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/2)\/11*((-240)\/(-35))\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*n - 2. Let p = n + 2. Suppose -4*o + r + 15 = p, -2*o + 5*r = 3*r. Solve k - o*k = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*v - 3 = 0, -268*v + 263*v = 5*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -458 - 94. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136927 less than 914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-2 - -1) - -8) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*l - 2 = -5, -4*v + 3*l = -1. Solve 22*z - 24*z = -3*c - 7, v*z = -2*c - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 125 = 42 + 508 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 385848679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 304682437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g + 2. Let a(d) = d**3 - 4*d**2 + d - 5. Let w be a(g). Is 14\/2 + (1 - w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199688863 rounded to 3 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 247.51 + -247.41. Put 2, 1, -0.3, 13, b in descending order.\nAnswer: 13, 2, 1, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. Let s = 9 + -61. Let x be s\/(-39)*3\/(-14). Which is the closest to x? (a) -1\/2 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261693 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 420. Suppose v = 4*z - 0*v - 204, -4*v = -3*z + q. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*v**5 - 3*v**3 + 828*v**2?\nAnswer: -11340*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - -2*2*sqrt(153) - (sqrt(153) - (sqrt(153) - 2*sqrt(153)*1)))\/(sqrt(54)\/(2*sqrt(294) + sqrt(294))).\nAnswer: 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Suppose d + 3*h - 1 = 7, -3*d - v*h + 24 = 0. Suppose d = -i - i. Sort i, 0, -2 in increasing order.\nAnswer: i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o + 120 = 0. Does 6 divide (-24)\/10*o\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*4\/120*(-50)\/116. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5 + 70*i**4 - 230*i**3 - 220*i**2 + 875*i - 490 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 7. Let b be q(13). Let m(v) = -5*v + 8 + 3 + v. What is the units digit of m(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:38 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y - 7. Let w(l) = l - 1. Determine -j(c) + 6*w(c).\nAnswer: -4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5446747.\nAnswer: 191, 28517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -1.278765.\nAnswer: 232.73523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142248943 to the nearest integer?\nAnswer: 11927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 2410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42c2 (base 15) in base 9?\nAnswer: 21342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-369)\/(-6)*-2 - 3. Let h be (2\/6)\/((-7)\/i). Solve 4*d - h = 4*u + 2*d, 0 = u - 4*d - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -992, -1478?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -19. Suppose b - 9 = 4*b - 2*g, -g - 9 = c*b. What is the second smallest value in b, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 31, 108, 267, 538, 951?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12955 in -19, 1\/6, 4, 1\/2, -7\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*w - 26, -3*w = 5*t + 14 - 46. Let k = -5 + 10. Suppose h + 17 = 4*h + k*i, -3*h + 4*i = -8. Calculate the remainder when t is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3484924501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -22. Suppose q - 2*x + 11 = -6*x, 3*q + 5*x + w = 0. What is the lowest common multiple of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4061 + -0.0061. Let g = 8 - 6. Which is the second biggest value? (a) 0.16 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 4. Let c(u) = -u + 7. Let j(y) = y - 10. Let k be j(8). Let v be (-1 + 0)\/(k\/(-6)). What is v*c(r) + 5*z(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.492576 rounded to 2 dps?\nAnswer: -10.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -66. Let s = t - 48.4. Put s, 1\/2, 0.1, 3\/8 in decreasing order.\nAnswer: 1\/2, 3\/8, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0 (b) 0.2 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 8*v. Let x(y) = y**2 - 7*y. Let w(i) = 3*j(i) + 4*x(i). What is the second derivative of w(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7678 is divided by 6563?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*h**3 - 26 + 72 - 22 + 56*h**3.\nAnswer: -6*h**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000780067109 rounded to 7 decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/6*6\/2. Let a = -3 - v. Is a greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471982609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h + 9. Let r be g(-2). Suppose -6*o = -5*o - r. Suppose 2*s = -2*u + 23 + o, -3*u = -5*s + 172. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -398408*t**3*y**2 - t**2*y**3 + 4468*y**3 + 3*y**2 - 4 wrt t.\nAnswer: -1195224*t**2*y**2 - 2*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 18*c + 2*m - 5 = 0, 5*m = 2*c + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 323?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -10 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 9 + 4 - 39*j in the form q*j + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*c**3 + 3*c**4 + 30*c**3 - 36*c - 6*c**2 + 13 + 14.\nAnswer: 3*(c - 1)**2*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2) + -2 + 2. Solve v = -3*j - 6, -4*j = -3*m - j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(363) + 5) + -5)**2 - 4*(sqrt(12)\/sqrt(4) + 2 - (1*sqrt(300) - sqrt(300))).\nAnswer: 2196*sqrt(3) + 9467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*70\/(-3332) + (-4)\/(-14)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (126080\/(-4925))\/((-32)\/40)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b - 6. Let r be s(5). Suppose 4*k - 77 = -3*x, 2*k - 22 = -2*x + 6*x. Let a = k - r. Sort 3, a, 4 in decreasing order.\nAnswer: 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + 8) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407218, -814431, -1221640, -1628845, -2036046, -2443243?\nAnswer: -2850436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104935*m - 104430*m - 63630 = 0 for m.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (10 + 8 - 25) + (-1 - -14).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43776, -87588, -131400, -175212, -219024, -262836?\nAnswer: -306648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + 1 + sqrt(468)))**2.\nAnswer: 600*sqrt(13) + 46825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6115*j*v - 3*v - 355 wrt j?\nAnswer: 6115*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.9 (b) 46 (c) -3 (d) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*l + 164, 2*q - 163 = -4*l + 59. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l + 57*l - 30*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 12:36 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)**(-2\/65)*z**(1\/4)\/(z*z\/((z**(-5)*z)\/z)))\/(z**1\/z**8*((z**(-1\/2)*z*z)\/z)**20) assuming z is positive.\nAnswer: z**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*24\/2. Suppose h = p - 0*p. Let c be (8\/(-6))\/((-4)\/p). Solve q + c = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -187, -655, -1571, -3085, -5347?\nAnswer: -8507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (-4 - 1 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-373*r - 359*r + 307*r - 445*r) in the form x*r + y and give x.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -143. Which is the third smallest value? (a) i (b) -2\/9 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let o be c(0). Let q = 0 - o. Suppose g + q = 15. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280378607\/13 greater than or equal to 21567586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16456 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-16)\/66))\/(((-45)\/(-80))\/(3\/2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o + 0 + 4*o**2 - 1\/6*o**3. Is 11 a factor of k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1059331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3618 = -199*b + 202*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -0.06?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 325763 or 325755?\nAnswer: 325755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 70. Calculate the lowest common multiple of 18 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 5 - (-492 - (6 - 4)). Let x = z + -114. List the prime factors of x.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c**5\/7 + 278496*c**4\/7 + 3150408*c**3\/7 - 2467222*c**2\/7 + 89358*c - 52488\/7 = 0 for c.\nAnswer: -12, 1\/4, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*(-8 + 2). Let t(h) = 2*h**2 + 4*h + 3. Let k be t(-2). Let m be c\/(-4)*8\/k. Solve 4*u - m*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*t - 1392 = -454*t, -3*y + 2*t + 31 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/15)*t**(-4\/11)\/t)\/((t*t**(-18))\/(t*t**2)))**(-33) assuming t is positive.\nAnswer: t**(-3053\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -2 + -3 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/9)\/(((-150)\/(-345))\/10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) -336 (c) 3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 0 - (-2215 + -9 + 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(-1)*(-340)\/(-10370)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -706266 divided by -6.\nAnswer: 117711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27682 - 26674. What is the remainder when k is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -158. Let p(f) = f**3 + 4*f**2 - 8*f - 4. Let x be p(-5). Suppose 0 = -v*z + 195 - x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -43. Let n(l) = -l**3 + 6*l**2 + 2*l. Let c(g) = 2*g**2 + 17*g + 14. Let p be c(-8). Calculate the remainder when t is divided by n(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2725\/2 or -1363?\nAnswer: -2725\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20) - sqrt(500))\/sqrt(10).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8886 divided by -6\nAnswer: -1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7067785198.\nAnswer: 2, 283, 12487253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 + 2*i + 0*i + 2 + 2*i**2 - i**3. Let c be 5\/(25\/(-35))*-1 - 4. Suppose 5*n + 2*b = 21, 5*n - 5*b - 9 = -c*b. What is z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-150) - (2\/(-12) - (-30)\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 23.5. What is n rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppptpppppppppppppppp. Give prob of sequence ptp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 18 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20348268833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 6*z + 3. Let x be n(4). Suppose -4*f + x = f - 2*c, 0 = -f - 3*c - 5. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -577, 0 in ascending order.\nAnswer: -577, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-14))*l*l)**39*l**(1\/2)\/l**(-1\/28) assuming l is positive.\nAnswer: l**(18579\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 5*l + 3*i + 11, 4*i + 40492 = 2*l + 40486 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.93 + 9. Let h = 0.93 + x. Which is the closest to h? (a) -4 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -135. Solve -5*g = q + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18336680*o + 18336555*o = 8250 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1*(-3)\/(-6)). Let v be 2*111 + (-2)\/(-1). Let -23*h - 23*h**3 - 77*h - v*h**d - 12 - 41*h**3 = 0. What is h?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753 divided by 119508.\nAnswer: -251\/39836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 4272*y\/13.\nAnswer: -2*y*(y - 2136)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:06 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -576*k**5 - k**2 + 671*k wrt k.\nAnswer: -34560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 11) to base 12\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 3*g**2 + 9*g - 4. Determine l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and 0.01988.\nAnswer: 2.11988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8372476\nAnswer: 8372472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 + m**2 - 11*m - 5. Let k(b) = 8*b**3 + b**2 - 12*b - 6. What is -6*d(c) + 5*k(c)?\nAnswer: 10*c**3 - c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t + 75. Is t\/8*(-3 + -55) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -10 + (-13220)\/(-780) - (-1983)\/(-117)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 9 - -17) + -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1254 + 1254. What is the closest to -1 in -0.4, u, -0.2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**6\/30 - i**3\/2 - 3*i**2\/2 - 3. Let q(t) be the second derivative of j(t). Differentiate q(z) with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((11\/((-22)\/(-3)))\/(170\/(-3400))).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14138823 divided by -6?\nAnswer: 4712941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 62.0158. Let q = -113 - -113.005. Let y = d - q. Round y to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-2)\/(-3) + (-1218)\/(-9). Differentiate -14 + n*h - 8*h**3 + 134*h - 51 - 270*h with respect to h.\nAnswer: -24*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Let w be a(0). Suppose -4*l + 17 + 7 = 3*n, 3 = l. Solve -16 = -n*i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2. Let j be t(1). Let i be (j\/2)\/(6\/4). Let u = 2.9 - 2.7. Which is the nearest to i? (a) u (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, k: 13}. What is prob of picking 2 k and 1 p?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t - 221*t + 18847 - 18842.\nAnswer: -200*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/20)\/((-6)\/(-8)). Let f = x + 2. Put f, -5, 4 in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -911.641835 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d + 5. Does 16 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*r**5 + 169*r**2 wrt r?\nAnswer: -7140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -40*s + 307. What is i(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(h**5 - h**5 - 2*h**5) - 5*h**5 - 2*h + 2*h.\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31258 is divided by 107?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 822*o + 8194. Determine i(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65960, 132004, 198048, 264092, 330136, 396180?\n\"Answer: 66044*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.648745 months?\nAnswer: 0.00097072875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56716 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 32*g + 2 + 27*g - 5*g**3 - 85*g + 32*g. Let v(x) = 14*x**3 - 17*x - 5. Let o be -4 + 5\/(-3)*-6. Calculate o*v(m) + 17*s(m).\nAnswer: -m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -266754148 divided by -4348?\nAnswer: 61351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 235, 209, -75, -617?\n\"Answer: -129*c**2 + 361*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5645546, -4, 12 in increasing order.\nAnswer: -4, 12, 5645546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, e: 2}. What is prob of picking 2 f and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-20) - 2\/(-8)) + 10660\/(-1025). Let y(d) = d**2 + 10*d + 29. Give y(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = -4*j. Suppose -2*f - 8 = y + f, j*f = -3*y - 9. Let u = 0.7 + 2.3. Which is the nearest to u? (a) -4 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-58))\/(-4)*22\/(-660)*-45.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*o + 4)*(-923*o + o**3 + 923*o - 5).\nAnswer: 2*o**4 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 5*d + 31. What is the units digit of s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586353, -586353, -586351, -586347?\nAnswer: -586341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861024 is divided by 162.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 67153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 10*p**7\/7 - 13*p**3\/3 - 19. What is the third derivative of u(c) wrt c?\nAnswer: 1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*h + 0 + 0 + 0 + 1.\nAnswer: -4*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + -12 - -12 - (-110 - -3)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let j = -2362 + 2367. Let x(c) = -11*c - 5. Let w(b) = -6*b - 2. Let q be -1 - (-1*2)\/(-2). Let l(d) = j*w(d) + q*x(d). Determine l(m(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-2))*(-2 + 0). Let k be 6*-1*m\/8. Let q = 6 - 5. Put k, -3, q in ascending order.\nAnswer: -3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 19*h - 18. Let w be u(18). Suppose 85 = 5*d - w*x + 5*x, -2*x - 71 = -5*d. Calculate the lowest common multiple of 7 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 728.672019202.\nAnswer: 727.672019202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*c*v*w**2 + 2*c*v*w*z - 2*c*v*w + 2*c*w*z - 4*c + v*w**2*z - w**2*z - 221*z wrt w.\nAnswer: -320*c*v + 2*v*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2052 + 3?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 6*w + 28 + 5, 12 = 49381*m - 49383*m + 2*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11852 is divided by 201.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60365032 a multiple of 2051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2)**2 + 4)*3 + ((sqrt(72) - sqrt(72)*-1) + -1 - ((sqrt(72) + 1*sqrt(72))*-3)**2) + -3 + -1.\nAnswer: -2357 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -664 smaller than -665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 578 + 1163 = 525 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 - g + 2. Let f be t(-8). Let l be (27\/6 - 4)*f. Solve l*q = -2*x - 17, 5 = -2*q + 5*x + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 10. What is the tens digit of n(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77834 or -77864?\nAnswer: -77834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0073210062286 plus 0.08?\nAnswer: 6.0873210062286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74716?\nAnswer: 2, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**26*v**(1\/8) assuming v is positive.\nAnswer: v**(209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*y + 18, 0*y + 26 = 4*y + 5*m. Let l = 14 - 9. Suppose 2*f - 176 = -l*v - f, -5*f = 5*v - 180. What is the least common multiple of y and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3181\/8 - 400. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 8*d**3 - 9*d**3 - 3*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, d: 1, j: 1}. What is prob of sequence bzzb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3837 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/((3\/(-2))\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675748.2 decades in years?\nAnswer: 6757482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(12)\/sqrt(4)))**2 + sqrt(180)\/sqrt(9) + -4 + (sqrt(980)*-6)\/(sqrt(4) + sqrt(160)\/sqrt(10)).\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*k**2 - 78*k**2 + 2*k**3 + 1 - 1 - 74*k**2.\nAnswer: 2*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.7615 centuries to decades.\nAnswer: 2267.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -88*z**3 - 10*z**2 - 15*z - 17. Let f(x) = -44*x**3 - 6*x**2 - 8*x - 11. Calculate 5*f(k) - 3*t(k).\nAnswer: 44*k**3 + 5*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 9. Let t be 19\/3 - (2 - (-24)\/(-36)). Let w(m) be the first derivative of -m**2\/2 + 4*m - 47. What is t*w(d) + 2*g(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/1081 (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**2 + 3*k - 125. What is g(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 1.8. Let y = 2.4 - 2.4. Which is the closest to y? (a) 4\/5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914867494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -4 (c) -296\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 749*w**4 - w**3 + 800*w.\nAnswer: 8988*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.4. Let m = 0.9 - k. Let v = -35 + 36. What is the biggest value in m, v, 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62135 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 t(g) be the second derivative of 5*g**8\/56 - g**4\/6 + 38*g. Find the third derivative of t(l) wrt l.\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - -2342?\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3181 - 253 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddede. Give prob of picking 3 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 197597922 to the power of 1\/2, to the nearest integer?\nAnswer: 14057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -9, 14421.\nAnswer: -16, -9, 2, 14421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/10*1110\/296?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 5*o - 16. Let a(f) = f**2 - f - 2. Let m(v) = 2*a(v) - l(v). Let h be -3*(-2)\/3 - 10. Let x be m(h). Solve -x - 6 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4181 - 4182. Sort z, -12\/5, -0.1, -3 in decreasing order.\nAnswer: -0.1, z, -12\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*j + 490 - 14*j**2 + 668*j - 1104*j.\nAnswer: -14*j**2 + 490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2556, -4, 3.\nAnswer: -4, 3, 2556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p\/(p\/(p*p**(-5\/3))))*p))\/((p\/(p\/((p**2*p)\/p)))\/p)*(p\/(p\/(p*p**(2\/9))))\/p*p*p*(p\/(p*p**7))\/p)**8 assuming p is positive.\nAnswer: p**(-680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9588 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 + -6.8. Let d = q + 3.29999957. Round d to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/2)\/9*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88518 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213 - 132. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -1 - (-14)\/(-6). Let m = -63 - -68. What is the third biggest value in -5, m, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -2. Suppose 2641 = 417*a - 2363. Sort a, c, 2\/15 in descending order.\nAnswer: a, 2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + -6 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -1\/4 (c) -3\/23 (d) -5 (e) -3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -280 - -283. Solve -8 = q*u - 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y - 1. Let z be j(-3). Suppose 5*t - 124 = -z. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3686114 - 0.024\nAnswer: -0.3926114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {n: 3, w: 5, g: 4, p: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, 581, -607, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5660\/(-45)*(-2 - 50\/20) is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6580 minus -40296285342?\nAnswer: 40296278762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:59 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 62381*q**4\/24 - 19*q**3\/3 + 104*q**2. Let t be o(-2). What is t rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1230.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36))\/((-6160)\/(-15120))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4415777 and -34764.\nAnswer: -34763.5584223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 342, 340, 338, 336?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247.5 - -7.5. Let b = f - -240.1. Which is bigger: 8\/3 or b?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 560 = -57*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33512 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -85*l**3 - l**2 + 6*l + 2. Determine q(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (15 - 23)\/(-96)*(-488)\/5)*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2970?\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 - -6.7. Let q = v + 0. Let u = 7 - q. Which is the closest to -0.1? (a) -4 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642292159*z**4 + 241341765*z**2 wrt z?\nAnswer: -15415011816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Let o be (-2)\/(1 - (-2 + 1)). Let t(v) = -v**3 - v + 5. What is o*t(k) + 5*r(k)?\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 40*t**2 - 14*t**2 + 32*t - 25*t**2.\nAnswer: t**2 + 32*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1411 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2\/9, 1\/7.\nAnswer: -14, -2\/9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 13*v + 158 - 218, 2*l + 3*v + 0*v - 5 = -0*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 35*h**2 - 5*h + 20. Let z be s(0). Solve -5*y - 5*w - z = 0, -4*y - 8 = -3*w + 5*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8786, 8789, 8794, 8801, 8810?\nAnswer: 8821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13742 (b) 1 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1921*n**3 + 3486*n**3 + 2*n - 2*n - 2167*n**3.\nAnswer: -602*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i**3 + 23*i**3 + 14045*i**4 - 39 - 14047*i**4 - 72*i**3 as x*i**3 + m + u*i**2 + v*i + s*i**4 and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 32 = 3*n + 8 - 0, -4*d = 21*n - 285 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -200002202 (base 3) to base 7\nAnswer: -53321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 8*k**2 + 12*k + 13. Let r be m(5). Is (0 + r - -3391) + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -3 - (-2)\/2. Solve x = -3*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 22*r**2 + 93*r - 31. Determine p(-7).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:11 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 158*a - 53.\nAnswer: 158*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {q: 2, f: 1, p: 1, o: 1, k: 2, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a + 9610 + 26408 = 0. What is the highest common factor of 1827 and a?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*y - 6, 2*y - 4 = 3*j + 2*j. Let h be 0 - (2 + (y - 4)). Suppose -3*a - i - 64 = -4*a, h = -5*a - 2*i + 306. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 30, 26, 24?\n\"Answer: a**2 - 9*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Is -14*((-2)\/t - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m - 1. Let j(a) = a**2 + 2*a - 5278. Calculate -2*g(p) - j(p).\nAnswer: p**2 + 5280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/2))**46*(h**2)**21 assuming h is positive.\nAnswer: h**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -796*x**2 + 316*x**2 - 2128*x**2 - 3567*x**2 - 1780*x**2 as v*x + d*x**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 787*c**2 + 0*c + 5*c + 2*c + 54*c**3 - 787*c**2.\nAnswer: 54*c**3 + 7*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -36*g**2. Let h(m) = -10*m**2. Give t(h(d)).\nAnswer: -3600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2832 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6048) - (-2*sqrt(6048) + sqrt(6048)))\/(sqrt(6) - sqrt(24)\/sqrt(4)*-3).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h - 157. Let w be r(-29). Let f(u) = -40*u - 6. Let v be f(6). Let m = v + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 + 10)) + 18 + -2 + -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -7 - 14 - -11 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*m = -64*m - 3589. Solve -m = 12*w - 49 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12197 + -8034. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/2*21\/98?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pspzpqpsssssffff. Give prob of picking 3 f and 1 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 2*b**2 + 514444*b**3 + 3*b**2 - 514445*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (960\/360)\/(3 - (-76)\/(-12))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - -1) + 2)*-2. Let d(j) be the second derivative of 19*j**3\/6 + 11*j**2\/2 + 1563*j. Let s(v) = 9*v + 5. Calculate w*d(b) + 9*s(b).\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 28*c - 7. Let d(q) = -12*q**2 - 107*q + 27. Determine 6*d(h) + 23*u(h).\nAnswer: -3*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 238, 2\/15, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 35*h**2 - 10*h + 3. Determine p(17).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -390, 3765, 1\/5, 5 in ascending order.\nAnswer: -390, -0.6, 1\/5, 5, 3765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98046 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) 4 (c) 5 (d) -13140\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**2\/2 + 2. Let m(q) be the third derivative of q**4\/24 + 225*q**2. What is m(f(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -15, -1, 113084?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(2\/7))*s*s)**49)**(4\/13)*((s\/(s**0\/s))\/s)**19\/(s**2*(s*(s*s**3)\/s)\/s*s) assuming s is positive.\nAnswer: s**(617\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10000 times -22511\nAnswer: 225110000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 - 1. Let k = 18 - 17. Let g(j) = -3*j**2 - 2*j - 4. Let a(t) = k*g(t) - 3*f(t). What is a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-4 + -6 - (18 + -11))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s + 91. What is w(10)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 4, 1, 65 in descending order.\nAnswer: 65, 4, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9814250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*d**3 - 2*d + 94*d**2 - 139*d**3 + 6*d**4 + 20*d**4 - d**4 + d**4 wrt d.\nAnswer: 624*d + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -141, -308, -537, -828?\n\"Answer: -31*r**2 - 12*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53702169*0.2.\nAnswer: 10740433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 2, k: 1, a: 2, l: 1, w: 1}. What is prob of sequence wa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/41? (a) 0.4 (b) 2 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1990, 4602, 7238, 9898?\n\"Answer: 12*g**2 + 2576*g - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 96 = r. Let m = -15 - r. Suppose 0 = -t + m + 14. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 3. Let d be c(7). What is the units digit of 24\/(-15)*d\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 19*l + 702 = 82*l - 21*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:08 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 7*o + 1. Let t(u) = 5*u**2 + 8*u. Let r(y) = -3*t(y) + 4*x(y). Let q(s) = -s**2 - s - 1. Determine 12*q(f) + 3*r(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14 (b) -1\/8 (c) 1 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265\/8 - -33. Let c be ((-2)\/136)\/(9\/(-18))*(3 - -1). What is the closest to s in 4\/5, c, -4, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(1\/4))**(-49)*(s**(-2\/3))**(-36)\/(s*s**(1\/4)*s)**(-3\/37) assuming s is positive.\nAnswer: s**(3579\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1288077*i**5 + 10019308*i**2 wrt i.\nAnswer: -77284620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 3. Let f be y(5). Let b = -24 - f. Suppose 0*n + 207 = b*n - g, -5*n + 258 = -2*g. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*z - 31, -4*p - 4*z + 0*z - 8 = 0. Let n = -12 + 7. Let o be (-2)\/n + 6\/(-15). Sort p, -1, o in ascending order.\nAnswer: p, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -14. Let g(r) = -2*r**2 - r + 4. Let t be g(-2). Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 1807969.\nAnswer: 1807968.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**6\/1260 + j**5\/60 + j**4\/14 - 28*j**3\/3 - j**2\/2 - 1. Let c(h) be the third derivative of q(h). Factor c(p).\nAnswer: 2*(p + 1)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 3*t + 2. Calculate the remainder when f(-3) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(396) + -2).\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:28 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -11. Let y = -3 - f. Let t(a) = -a**3 - 6*a**2 + 4*a - 6. Is t(y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 2101?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612005 = -70*c - 79235. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 9*x + 9. Let p be r(-7). Let h = -0.9 - -1. Which is the closest to h? (a) p (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/4 - 1575*w**4\/4 + 44799*w**3\/4 + 47943*w**2\/4 - 11199*w - 11592 = 0. What is w?\nAnswer: -552, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-24))\/(-1)*32\/56*-7?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 20*b - 41. Let y be p(8). Suppose 0 = 2*a - 3*a - 32*a + 462. Calculate the greatest common divisor of y and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21478103\/285636230 + 3\/236063. Calculate the common denominator of q and 113\/12.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*4\/3. Let w = 23 - 19. Put -0.2, w, b in increasing order.\nAnswer: b, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.1 times 230.7\nAnswer: -32551.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -0.2. Let f = -215 + 217. Is f != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) -22 (c) 2\/13 (d) -35 (e) -0.01 (f) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 81\/12 - 2\/(-8). Let v(n) = -n**3 + 9*n**2 - 10*n + 9. Is v(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 55?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 4*n**4 + 2*n**3 - 4*n**2 + 0*n**4 as m*n + f + j*n**3 + q*n**2 + z*n**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*c = 350*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3977 + 7055. Calculate the least common multiple of t and 30.\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-84) - 6\/(-14). Which is the closest to -1? (a) -2\/5 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12162820 by 2432564.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:17 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f)**(4\/29) assuming f is positive.\nAnswer: f**(20\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72342 is divided by 371.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7\/10*(-16)\/140*40\/(-32)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v + 0*v - 2*v + 417*v**4 + 4*v**2 - 2997 + 12993 + 4*v wrt v?\nAnswer: 1668*v**3 + 8*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a - 2425. Let m be (-37996)\/(-115) - (-6)\/10. Let d = a - m. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8758d2 (base 15) to base 12.\nAnswer: -21ab75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -597*n**6 - 736*n**2 wrt n.\nAnswer: -71640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/13 - 8*g**4\/13 - 4*g**3\/13 + 24*g**2\/13 + 18*g\/13 = 0. What is g?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46 - 4)*(-1)\/(-2). Let b be (-6)\/14 - (-72)\/k. Suppose b*p = -p + 268. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = -7. Let d = -0.13 + 1.53. Let p = -0.4 + d. What is the third biggest value in p, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19248.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:51 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -6. Let u(d) = d**3 - 6*d**2 - 2*d + 7. Let q be u(6). Which is the third smallest value? (a) -2 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -52*j - 47. Let f be (3\/(-6) - j) + (-42)\/12. What is the biggest value in -1\/2, f, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210412511225 - -2?\nAnswer: -210412511223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 801742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -48*y - 98. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 3*q**2 - 4*q - 6. Let x be 3 + (-5 - 3) + 1. Does 7 divide r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 83 = -2*u, 52 = 4*y + 5*u - 28. Solve o = -2*o + y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62792, 62785, 62766, 62729, 62668, 62577, 62450, 62281?\nAnswer: 62064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-270)\/(-33) - 8\/44. Suppose 0 = i + 3*i - v. What is the third derivative of 2 + 5*l**5 - 13*l**i + 10*l**2 - 2 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(((z**(-2\/7)*z)\/z)\/z))\/(z*z*z\/z**(-3\/5)))\/(z**1\/z)**(-1\/45))**15 assuming z is positive.\nAnswer: z**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2 + 3*x - 2 - 2*x**2 + 4*x**2 - 7*x. Let o(q) = -2*q**2 + 3*q + 3. Calculate -4*o(h) - 3*z(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 13*o**2 - 17*o - 24. Let s be i(-14). Suppose -3*v + 3*f + 2*f + 27 = 0, -3*v + 2*f + s = 0. Solve -v*u + 3*w = 17, u + 8 = -0*u - 3*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 15 = -b, -2*b = 3*c - 148 + 132 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-15)\/(n\/(n\/((n*n*n*n*n*n**(-6))\/n)*n)))**15 assuming n is positive.\nAnswer: n**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/10 + 1315542\/215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -45.5. Let o be 32\/(-112)*(-7)\/(-2). Which is the second biggest value? (a) -1.6 (b) w (c) o (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0238 + 102.0238. Let t = 101.7 - h. Which is the third smallest value? (a) t (b) 3\/19 (c) 1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 11) to base 9\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505020\/(-62020) + (-715)\/(-7)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -20. Suppose 13 - 55 = -6*f. Calculate the remainder when q is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567451 is divided by 86.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -68.5. Let n = t + 12.2. Let h = n + 32. What is h rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4437, 32 in ascending order.\nAnswer: -4437, -5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - (-2 + sqrt(363))) + 5 + (sqrt(600) + -1*sqrt(600) + sqrt(6))\/sqrt(2))*-4)**2.\nAnswer: 224*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*f + 182 = -2722 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 34. Let i = 29.8 - s. What is the third biggest value in -2\/9, i, -1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 9 = 9*a. What is the lowest common multiple of 8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1148.761153 and -1408.\nAnswer: -2556.761153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 3*d + 2*d + (3 - 1 + 2)*(-d - 2*d + 16*d).\nAnswer: 51*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8869.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 180\/24)\/(3\/2). Solve 8 = -3*f + 3*p - 2*p, -8 = 5*f - t*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -6, 2, -3867, -4, 32 in descending order.\nAnswer: 37, 32, 2, -4, -6, -3867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102000333 (base 4) in base 7?\nAnswer: -425064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15*a**3 + 3*a**2 + a - 4. Let m = -40 + 42. What is the units digit of i(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**3*p + 375*i*p**2 - 2336*p**2 wrt i.\nAnswer: 9*i**2*p + 375*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11843188 by -2.\nAnswer: 5921594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 7. Suppose -5*f = -3*h - 35, 0 = -3*f + k*f - 4*h - 28. What is the remainder when (f\/(-3))\/(1\/(-33)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i - 18 = 0. Suppose -q + 23 = l - i*q, 4*q = -5*l - 30. What is the remainder when 54 + (l + -4 - -1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.919967 rounded to one dp?\nAnswer: -37.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-1)\/8). Let y = 4.7 - 5. Let d = y - 0.7. What is the closest to d in a, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5129, -20502, -46089, -81860, -127785?\n\"Answer: 5*c**3 - 5137*c**2 + 3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 614 - 598 + 4*l.\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3966*j + 155 - 43 = -3969*j - 10*f, -5*f - 175 = 5*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25179 - -7412. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 9*c + 8. Let r be f(-8). Is (-31)\/(-1 + r\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -7 + 0 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2435, 9870, 22269, 39644, 62007, 89370, 121745?\n\"Answer: 2*a**3 + 2470*a**2 + 11*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -9. Let u = p + 24. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5 + 7. Suppose -3*x = -5*x + f. What is the first derivative of -x*y + 4*y + 2 + 0*y + 2 wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -254, -996, -2232, -3962, -6186, -8904, -12116?\n\"Answer: -247*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 338242*l**3 + 2*l + 5281473 with respect to l.\nAnswer: 1014726*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111547.\nAnswer: 331, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2401, 8836, 19553, 34546, 53809?\n\"Answer: -p**3 + 2147*p**2 + p + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9912\/583 - -1296\/53. Which is greater: n or 41?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l - 28. Suppose 2*r + 3*q - 13 + 3 = 0, 0 = -r - 4*q. What is the lowest common multiple of v(r) and 7?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1055*g**8\/112 + 459*g**4\/4 - g**2 - 666*g + 2. What is the second derivative of f(y) wrt y?\nAnswer: 63300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:38 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from yjjydjyyydbyjy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115\/2 + 51. Which is greater: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-9))\/(-13) + ((-10)\/(-65) - 33\/(-39))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-218033.\nAnswer: 43606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 48*o**2 - 7*o + 336. Let z be l(48). Solve n = -x - 3, z = 2*n + 31 - 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugovoguruoouvuuz. What is prob of picking 2 o?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 4}. What is prob of sequence tft?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/25 and -8\/40115.\nAnswer: 200575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1891381*a + 945663*a + 945735*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 268, 221, 136, 1, -196?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 33*v + 37. Let g be q(34). Solve -3*l - g = 4*c - 0, l + c + 2 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17754, 17755, 17756?\nAnswer: 17757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251537612 a multiple of 1588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + n. Suppose 5 = -5*l - 65. Let a = l + 14. Suppose -11*x + 7*x - 8 = a. Give r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 159?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258198 = -109*s + 511669. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 26. Let m be 2406\/p + 2\/8. Let k = -60 - m. Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12900857 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1\/7*-1. Let h = -0.3 + 0.4. Let j = h + -0.1. What is the second biggest value in d, 2\/11, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.3 - 16. Let u = l + 1.7. Which is the nearest to -0.1? (a) 0.4 (b) -0.02 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/22? (a) 5 (b) 50 (c) 34 (d) -3\/2 (e) 14 (f) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 35*b**3 - 209*b**2 - b - 5948. Let a(o) = -51*o**3 + 313*o**2 + o + 8923. Let i(v) = 5*a(v) + 7*m(v). Differentiate i(g) with respect to g.\nAnswer: -30*g**2 + 204*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -13 (c) -0.02 (d) 0.09 (e) 2\/7 (f) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12.1 (b) 1\/2 (c) 44.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 1) + -6 + -3 + (-9 - -24)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10075 + -257215?\nAnswer: -267312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98*x - 216*x + 173*x)*(x + x + 0*x + (-2 + 4 - 1)*(-x + 0*x + 0*x)) to the form i*x + g + f*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(3)*-1 + sqrt(30)\/(sqrt(30)\/sqrt(3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 6*s - 2*s)*((-27*s - 11*s - 12*s)*(-4*s + 2*s + 4*s) - 2*s**2 - 4*s**2 + s**2).\nAnswer: -210*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13.68431*-1.4\nAnswer: -19.158034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12678.\nAnswer: 2, 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**4 - 6880*u**3\/7 - 31884*u**2\/7 - 17320*u\/7 + 7712\/7 = 0.\nAnswer: -241, -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 768\/76 + -14 + (-4)\/38\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 6*g - 7. Suppose -3*u + 3*r = -15, 5*r - 2*r = 6. What is the lowest common multiple of u and d(-8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -179. Let o(g) = g + 3. What is o(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 11*x**2 - 3*x - 101. What is the hundreds digit of a(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2300)\/(-350)*35\/60*6*(-4)\/4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -401\/1821 or 1?\nAnswer: -401\/1821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24771*b**2 - 24786*b**2 + 74343*b**2 - 24773*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 1. Suppose -d = 2, -3*d = 3*u - 4*u + 7. Let n be r(u). Solve 7*m = n*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925637803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(-234 + 1668 + 1644 - 282 + (2 - 2 - 2)*(5 - 1 - 2) + 3 + 3 - 7)*(-2*w + 2*w - 2*w).\nAnswer: 11164*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 - -225. Let r = w + 82. Which is bigger: 118 or r?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624\/120 + 30\/(-25)*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h - 49. Let a be i(7). Suppose 9*m - 16*m = -a. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4126, -4163, -4200, -4237, -4274?\nAnswer: -4311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j + 2. Let c(l) = l. What is c(s(i))?\nAnswer: -10*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = -o - 2*s, -3*s = 3*o + 12. Let m(h) = 13*h - 4. Let f(l) = 12*l - 3. Let i(u) = 7*f(u) - 6*m(u). Let n be i(o). Solve -5*b = -n*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377320 + 221106. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898831091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70378 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 61*v = -14058. Let n = 3396 - v. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 78 + 4*j - 78 - 3*j. Let v(m) = 34*m**2. Calculate n(v(t)).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:56 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.87 - -4.9. Let w = n + -1.46. Round w to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*z. Let k = 1 + z. What is the remainder when 14 - (-1 - (k - 2)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhp when four letters picked without replacement from {h: 4, p: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (594\/(-216))\/((-1)\/(-4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34648, -34848, -35048, -35248, -35448?\nAnswer: -35648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1218, 1221, 1224, 1227, 1230?\n\"Answer: 3*f + 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcdd when four letters picked without replacement from duruddcuciiiduiuddi.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i - 481*i**3 - 16*i - 26*i**3.\nAnswer: -507*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1656796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13552210 - -5?\nAnswer: 13552215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.55 in 5, -18, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {z: 1, y: 1, n: 3, i: 1, p: 5, m: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z**12*z)\/z)))\/(z*((z*(z**(3\/2)\/z*z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14176 times -6\nAnswer: 85056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(20\/8 - 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 11 - (-44 + 72)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101110011111110111 - -10?\nAnswer: 1001011101110011111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - u + 2*u - 163 = 0, -u + 31 = b. Calculate the common denominator of (-152)\/b + ((-11)\/(-6))\/(-11) and (-1566)\/(-264) + (-4)\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhg when three letters picked without replacement from {h: 2, z: 1, u: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvww when four letters picked without replacement from yywqvwwywwy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + -2 + (1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1409*z - 38*z**3 + 1409*z.\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - y**4 - y**4)*(2 - 2 + 1) - 3*y + 3*y + 3*y**4 + 3*y**4 - y**4 - 3*y**4 + 0*y**4 + 0*y**4 - 2*y**4 + (5*y - y - 5*y)*(-y**3 - y**3 + y**3).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -637 (base 12) to base 4\nAnswer: -32023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14133\/10 + -84737\/60. Let m = h + -5\/12. Sort -5, 0, 3, m in descending order.\nAnswer: 3, m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4961 - 1249. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*u - 3 = -10, -4*o = -u + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*j - 2. Suppose 5*c + 2*b - j = -2*b, -17 = -2*c + b. Solve c = -0*k - 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.345*-1\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1002 + -1001. Let o(w) = -w**2 - w - 1. Let h(z) = 3*z**3 + 8*z**2 + 5*z + 3. Give l*h(q) + 5*o(q).\nAnswer: 3*q**3 + 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 - 2936 = -22*j. Calculate the highest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/2 + 3\/6. Let a = 1 - q. Suppose -a*z + 1010 - 258 = -l, -4*z - l + 1005 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 231?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + 15*t**2 + 14*t - 4. Let q(h) = -h**3 + 5*h**2 + 5*h - 1. Let p(z) = 3*m(z) - 8*q(z). Let j = 155 - 150. Give p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 16*i)*(0*i**4 - 2*i**4 + 4*i**4).\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*x + 4*x + 8, 2 = x + 2*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 940, 1363, 2070, 3061?\nAnswer: 4336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 21*y + 6. Let c be f(5). Let v be 386\/8 + 27\/c + 1. Is 51 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -14. Let s be -2 - -4 - 0\/1. Let t = s - w. Solve t = 2*b + b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 42391?\nAnswer: 8478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 2. Determine m(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(-26))**6*(y\/((y\/(y*y**(-1\/7))*y)\/y)*y*y**(-2))\/(y**0)**(-3\/23) assuming y is positive.\nAnswer: y**(-2185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -5*i**4\/24 + i**3\/6 + 7*i**2 - 12. Let t = -179 + 177. Let k(j) = -j + 1. Calculate t*k(s) + l(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34222 + -2.65778. Which is the nearest to s? (a) 10 (b) -3\/5 (c) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76 + -771322?\nAnswer: -771420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g**3 - 1088*g**2 - g + 69. Determine n(68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44840 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.05, 104\/11, 0, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f - 294. Determine q(7).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(245) - (sqrt(245) + -1 + -1)) + 3 + sqrt(245) + 1 + (sqrt(245) - (sqrt(245) + sqrt(245) + sqrt(245)*2)))*4)**2.\nAnswer: -4480*sqrt(5) + 17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-59)\/((-3)\/12*-2). Let g = 203 + m. Suppose -b + 3*p + 109 = 3*b, -3*b - p + g = 0. Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312 (base 7) in base 10?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 - 4. What is the second biggest value in 1, 0.8, u?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, -162, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 219288 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 10 - (2 - (13 - -10))) + 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 13 + (102 - 113).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from vfhwzfwzfvwhwfzfvfvh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.15886 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 3*l + 1485, -5*i + 2*l + 7386 = 0. List the prime factors of (-3)\/(3 + i\/(-489)).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539159?\nAnswer: 3, 513053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*i + 1. Let a(w) = -16*w - 8. Let q be a(i). Let n be ((-1375)\/(-3))\/(1\/q). What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2658*g + 186001. Determine f(-70).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*i + 3, i + 21 = -267*h + 264*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -681 from 105118341.\nAnswer: 105119022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13, -11, -4, 91, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*3*-6*(sqrt(468)*2*4 - (sqrt(468) + 1)*-3))**2.\nAnswer: 1147608*sqrt(13) + 165153169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249443 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/100037 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:56 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - f**3 - 11*f**3 - 6*f**3 + 21*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 231.9189ns?\nAnswer: 0.000000003865315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 10 (c) -17 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7559418, -7559420, -7559422, -7559424, -7559426, -7559428?\nAnswer: -7559430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) -4 (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19979*k**2 - 7*k + 7. What is the ten thousands digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 55*p + 18. Let u(y) = -54*y - 18. Let d(j) = 3*a(j) + 4*u(j). Is d(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85864 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 33 + 31 = 0. Sort 1, i, 4.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150297294, 150297292, 150297290?\nAnswer: 150297288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from skakskszzssakksss?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:36 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 24*x**2 - 84*x + 240 = 0. Calculate x.\nAnswer: -4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + sqrt(5) + 1)*5*-1)**2 - (5 + -3 + (sqrt(10)\/sqrt(2))**2)) + -2.\nAnswer: 100*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 17*r = 84*r + 91*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1. Let g(a) = -a - 5. Calculate -6*g(z) - 30*u(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j. Let g(v) = v. Let d(t) = 3*t + 2. Let b be d(-3). Let k(s) = 3*s. Let m = -64 - -66. Let z(c) = b*g(c) + m*k(c). What is n(z(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4272069*x**4 - 2*x**3 + 15946*x**2 + 47?\nAnswer: -102529656*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 18*v + 6 + 1)*(-2*v**3 + 3*v**3 - 2*v**3)*(0 + 2 - 3) to p + c*v**3 + j*v**2 + i*v + w*v**4 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2 + -2 - -4). Solve -5*t + 7 + 8 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8*q = 3*q + 29, 0 = 4*i - 4*q - 60. Suppose 4*w - 4*s = 140, 5*s + s = w - 15. Calculate the greatest common factor of i and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*o**2*r**2 + 28*m*o + 2*m*r**2 - 2532*m + 167*o**2*r + 2*r + 6 wrt o?\nAnswer: 4*m*o*r**2 + 28*m + 334*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(1900))*-6.\nAnswer: -180*sqrt(19) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 2*g - 88. Suppose 5*i = -3 - g, -i = 4*z + 1. Put 2\/3, -2, z in ascending order.\nAnswer: -2, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*u = 7379*u + 3099*u + 846636 for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424961392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/6*6\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7449.\nAnswer: -1\/7449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3315699 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143322 is divided by 143.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0158 * -17487\nAnswer: -276.2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.2057 (b) 5 (c) -5 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114891 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 17*c - 2945 = 28172. What is the greatest common factor of c and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2\/15, 1\/5, -17, -5 in increasing order.\nAnswer: -46, -17, -5, -2\/15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 599*n**5 - 1919*n**3 + 1476*n**2 - 6*n - 24 wrt n?\nAnswer: 35940*n**2 - 11514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89648 is divided by 645?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 31*p + 168327. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 + p**2\/2 + 184*p - 14. Let o be w(0). Let s = o + -21. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3385436820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36039 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1892607 divided by -3?\nAnswer: 630869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3134051 + -0.6\nAnswer: 3134050.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-12)\/(z\/(z\/(z\/z**(-1\/4))))**34 assuming z is positive.\nAnswer: z**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/4 + 2335*o**2\/2 + 114199*o - 233070 = 0. Calculate o.\nAnswer: -4570, -102, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - r**3 + (-2 + 3 - 3)*(-2*r**3 + 4*r**2 - 4*r**2) + 4*r**3 + 2*r**3 - 5*r**3 + r**3 + 0*r**3 - 2*r**3)*(-58*r + 10*r**2 + 58*r).\nAnswer: 70*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.32, -2\/9, 9, -1\/2, 1\/12, 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*a + 21*n, 92*a - 95*a + n = 99 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 - 710*i\/3 - 18122\/3 = 0 for i.\nAnswer: -1394, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.29 + 172\nAnswer: 167.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713.605479 rounded to the nearest 10?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13609087?\nAnswer: 13609087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4.25, 2, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1053) - (-3 + sqrt(1053) + 1)**2).\nAnswer: -1062 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*b = -17*b - 2214 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*q**2 + 14 - 142*q + 0*q**2 + 144*q + 3*q**4 wrt q.\nAnswer: 12*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/1*2\/3. Let s(y) = -y**3 - 5*y**2 - y - 1. Let i be s(p). Solve 3*o + 21 = 4*v + 4*o, -i = -4*v - 5*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1252 + 7175. List the prime factors of t.\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37220 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuru. What is prob of picking 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11632 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/4*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 233. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 6*t**2 + 8*t + 4. Let a be c(-6). Let h = a + -2194. Let j = -2590 - h. What is j rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.05028 litres to millilitres.\nAnswer: 91050.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1069437, 2138844, 3208253, 4277664, 5347077, 6416492?\nAnswer: 7485909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 1191274963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*p + 146*p + 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 - h**4\/3 - 29*h**3\/3 + 14*h**2. Let j be a(13). What is the greatest common divisor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/4 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 35. What is t rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -72218*i - 794361. Calculate d(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -64*y - 4. Let t(j) = -j**2 + 65*j + 5. Let h(m) = -5*f(m) - 4*t(m). Find q, given that h(q) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/20 + y**4\/3 + y**3\/2 + y**2 - y. Let s be g(4). What are the prime factors of 285\/21 + (-8)\/s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + -6*(-2*sqrt(2) + 5) + -5)**2.\nAnswer: -1008*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14571 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*p + 11 = -12, 5*p - p = 4. Let y(g) be the third derivative of -g**6\/120 - g**5\/10 - 5*g**4\/24 + 5*g**3\/6 - g**2. Give y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2224365 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006867 rounded to seven decimal places?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l + 15. Let u(x) = x + 1. Suppose 7*q = 12*q + 15. Let g = q - -18. Give g*u(d) - a(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:15 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -4*q + 51, -4*u = q + 6. What is the highest common factor of q and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + (8 - 15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010110010111111001110000 + -100?\nAnswer: -1001010110010111111001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/11 + 47\/22. Let x = 7207 + -7207.3. Sort 1\/4, 7, x, s in decreasing order.\nAnswer: 7, s, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 - 2*r. Let p be (2\/3)\/(6\/(-45)). Let h be p\/(-1) + -2 - 8. What are the prime factors of k(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 129*s**4 - 5*s**3 + 4*s**2 - s. Let j(q) = 2*q**4 - q**3. Let d(x) = 5*j(x) - t(x). Find the third derivative of d(k) wrt k.\nAnswer: -2856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - ((-42)\/35)\/((-3)\/(-20)). Factor -2\/11*z + 4\/11*z**c + 2\/11*z**5 - 4\/11*z**2 + 0*z**3 + 0.\nAnswer: 2*z*(z - 1)*(z + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 232*l**2 - 1140*l - 685. What is the derivative of k(u) wrt u?\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfcg when four letters picked without replacement from ccccccwccgfc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191926.\nAnswer: 2, 595963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.2427 to 0 dps.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*d**3 - 114*d + 195*d - 85*d + (2*d**3 + d**2 - d**2)*(-2 + 3 - 2) to o*d + c*d**3 + i + l*d**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 58 times -0.326815\nAnswer: -18.95527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221110122112 (base 3) to base 10.\nAnswer: -1032737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 522\nAnswer: 83\/522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -h - 0 + 15, 2*p = 5*h - 21. Solve h*b = 2*g + 19, 4*b - g - 7 = -2*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522863*z**4 + 648185*z**2 wrt z.\nAnswer: -12548712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1387\/13703?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 + 7*l**3\/6 - 91*l**2 + l. Let c(i) = i - 1. Let v(f) = -f + 1. Let p(y) = c(y) + 2*v(y). Determine 4*p(n) - q(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2583 divided by -14975\nAnswer: -2583\/14975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 73?\nAnswer: 173740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2. Let v(h) = -88*h. Give v(n(a)).\nAnswer: 352*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*z**2 - 2 + 7 - 7 + 45*z**2 to g*z + j*z**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i - 52*i - 415 = -66*i. What is the greatest common divisor of 4555 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(611\/26))\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g - 8. Let f be d(-6). Let x = 2 - 4. What is the lowest common multiple of x\/9 + f\/(-9) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = -3*d, 2*a - 2*d - d = 20. Suppose -3 = r, 4*r + 16 = -0*v + a*v. Solve 0 + v = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = d - 7, 3*d + 3*y = 8*d - 7. Let w(v) = v**3 - 2 + 7 + 3*v**d - v - 7*v**2. Let n be w(4). Is n < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(99)*-2 + ((sqrt(99) - -1*sqrt(99) - sqrt(99))*5 - sqrt(99)))\/((((sqrt(324) - 1*sqrt(324)) + sqrt(324))*5 - sqrt(324) - sqrt(324))*-5))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376 + 397. Do r and 103\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 263 - 256)*(-39*d + 4*d - 119*d) in the form x*d + f and give x.\nAnswer: 77924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - x + 9, -31 = -4*s - x + 6*x. Suppose s*z - 3 = -o + 5*z, 5*o + 4*z - 24 = 0. Let y(p) = o*p - 3*p - 3*p - 8. Determine y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*z = 143*z + 2. Is (z + -4)*(81704\/(-24) - -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267590 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -29*j - 136. Let z(b) = -31*b - 139. Let n(y) = -3*t(y) + 4*z(y). What is the units digit of n(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 320.9723 + -321. Let f = t - -0.027556. Round f to 6 decimal places.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let q(r) = 2*r - 5. Let l be q(5). Suppose -l*i = -3*i - 6. Let p(k) = -3*k - i*k + 2*k + 2*k. Give x(p(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 0 - 3*x**3 + 2 - 4 + x**2. Suppose -7 = 4*m + 1. Does 14 divide c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 17*x**2 - 4*x - 4. Let i(d) = -750*d**2 + 175*d + 175. Let j(v) = 4*i(v) + 175*r(v). Let t(k) = -4*k + 14*k - 12*k. Calculate t(j(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -575\/4. Let d be 76\/(-16) - (-2)\/(-8). Which is the closest to 1\/4? (a) h (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = 3. Let t(u) = -u**3 - 11*u**2 - 10*u - 15. Let z be t(-10). Let y = z - -15. Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let n be u(0). Suppose r + r = 3*j - 64, n = -5*j - 10. What are the prime factors of (-10)\/r + 40\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.88 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -4)*(5 - 12\/1). Let i be 9\/(-15) - (-5284979)\/o. What is i rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 1. Let v(w) = 13*w - 4. Suppose 4*q + 7*f - 17 = 2*f, 0 = 3*q - 3*f - 33. Let d(z) = z**2 - 9*z + 10. Let r be d(q). What is r*v(o) + 7*c(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-12 - -1) + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1159395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 21 (c) 3 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3340*r**2 - 8789*r**2 + 16127*r**2 + 14256*r**2 to y*r**2 + j + n*r and give y.\nAnswer: 24934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3660 = 4*v, g - 146 = -2*v + 580. What is the greatest common factor of g and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z - 35*z - 12 = 0. Solve -g = 5*n + 2, z*g - 6*n + n = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11135675*b*n**3 + 2*b*n**2 - 24*n**3 + 85*n**2 + 342615*n + 3 wrt n?\nAnswer: 66814050*b - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 826?\nAnswer: -24\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 62 = -3*x, 5*x + 2*v + 53 = -7. Let m = 20 + x. Suppose -m*u + 7 = -101. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**4\/12 - z**3 + 7*z**2\/2 + 11*z + 13. Let v(g) be the first derivative of o(g). Give v(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2) + (-2 - 2) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v + 8. Let u be h(6). Let d = -2 + 0. Sort d, u, 1\/4.\nAnswer: d, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7*r + 22*r = -10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35714602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 + -177.2. Let k = u - 19.282. What is k rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 - (-2 - (9 - 22))) - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = -2*x, -25*x + 7 = -26*x - g + 4*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**7\/3 + c**6\/15 + 5*c**4\/4 + c**3\/2 - 3*c + 4. Find the third derivative of a(y) wrt y.\nAnswer: 840*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from {o: 7, j: 7, v: 2, d: 2}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*h - 2, -3*n + 6 = -2*h + n. Suppose -r = 2*q - h + 4, -r = 3. What is the third derivative of -q*s**4 - 2*s - 3*s**2 - s + 3*s wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3286709833 to the nearest integer?\nAnswer: 57330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 - 122. Let h = 229.61481 - 218.6147. Let j = k - h. What is j rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 1 - 0 - (-36)\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1\/4, 4\/5, 2\/571, -6 in descending order.\nAnswer: 4\/5, 1\/4, 2\/571, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(24\/7)\/(w*w**(8\/11)*w*w))\/(w**(1\/7)\/w**(-1\/17)) assuming w is positive.\nAnswer: w**(-655\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16827680 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*x + 10, -5*x = -4*o - 5 - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o**2 - o + 5. Determine i(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.4 + 12. Let x = -0.4 - q. Let s = -6 - -7. Which is the nearest to -0.1? (a) -2\/3 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -10)\/((-7)\/(7266\/4)). What is k rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2 - sqrt(180)) + 0)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*t - 257*t + 475 = -124*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1764a (base 13) to base 6.\nAnswer: -544224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = -20. Is 7 a factor of 193 - 12\/((-8)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -31965.\nAnswer: 159825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97c + -3?\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 20545092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.5. Let z = -4298 + 4296. Which is the fourth smallest value? (a) -0.01 (b) z (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 2\/11 (b) 1\/2 (c) -5805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062624839 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -211. Calculate the highest common factor of y and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2 - 37*d - 426?\nAnswer: 2*d - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 2171 = -791. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58020 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -390, -404, -422, -444, -470, -500?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -17. Suppose -v - 2*t = 2*t - 25, 0 = -5*v + 4*t + q. Solve 0 = 2*u + 2*a + 16, u - v*a - 37 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 1. Let v be i(5). Let l be 325\/4 + (-4)\/v. Is -2*(l\/(-6) - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1011211?\nAnswer: 1011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2534*y - 2446*y - 433 - 447 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 1061030*x**2 + 2122075*x - 1061040.\nAnswer: -5*(x - 1)**2*(x + 212208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(4 + -3) + -24. Let a = -71 + 40. Calculate the common denominator of 3\/10*n*(-7)\/21 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 351 + 2183 = -4*x, -3*q + 1356 = 3*x. Calculate the greatest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 > -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2. Let g(s) = 23*s - 2. Determine a(g(u)).\nAnswer: 1587*u**2 - 276*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 131, 185, 259, 353, 467, 601?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/15)\/y*y)\/y*y\/y**(-4)*y)**(-10))**(-43) assuming y is positive.\nAnswer: y**(6278\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 384 - 258. Suppose -h = 5*j - 143 - 67, -3*h + z = 3*j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89777*q**2 - q + 45526.\nAnswer: -179554*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 129 + 141. Suppose 5*u - 294 = r*h - 1175, -5*u = -h + 287. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/6 - 1\/(-2). Suppose -i = -3*w + 4*i + 924, 0 = 3*w - t*i - 918. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -711, 0.2, 2 in descending order.\nAnswer: 2, 0.2, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 + 9*f**2 + 305*f - 1534. Give o(5).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v - 5. Let c = 14 - 128\/9. What is the closest to -2 in c, v, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8384*o + 75448. What is b(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4070 (base 10) to base 11.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 462 - 2962 = 0. Suppose 0 = 2*m - h - 148. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 1. Calculate the highest common divisor of q and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3066 - -5.3214. Let q = 6.972 - 7. Let x = q + w. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 3*m + 234. Put 1, -10, m in descending order.\nAnswer: 1, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 0.2 (c) -3\/4 (d) 0.038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w - 26 + 190 = 0. Solve -12 = w*v - 5*a, 0*v = -2*v - a + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1820 and 250?\nAnswer: 45500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8 + (-9)\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*-2*0. Suppose b = -5*t + 7 + 3. What is the third derivative of -3 + 3 + 7*f**3 - f**3 - 6*f**t wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**2. Let t(d) = 3804505*d**2. What is x(t(u))?\nAnswer: -72371291475125*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 47. Let y be t(14). Suppose 5*m = 39 - 9. What is the third derivative of -m*w**2 - 2 + 2 - y*w**4 + 0 wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from ggjjjjjjjjj?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9*o - 3. Let b be k(8). Let w(x) = -x - 6. Let p be w(b). Let c = p - -34. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2010546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4532553 - 200?\nAnswer: 4532353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 9*o + 14 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 16 - (3 + 0)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 29*v - 1924. Determine b(66).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -9\/8, -1\/4, 0.1, 0 in ascending order.\nAnswer: -9\/8, -1\/4, 0, 0.1, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 542356127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 9 = 0. Let m = 2 - -6. Suppose -8 = 4*n - m*n. Solve 0 = v*t - 2*t - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a + -835?\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -839, -3534, -8083, -14486, -22743, -32854, -44819?\n\"Answer: -927*j**2 + 86*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -507?\nAnswer: -3042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 38, 3.7, -155, 2.\nAnswer: -155, -1, 2, 3.7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s + 1112. Let r be o(111). Factor 7\/3*d - 49\/6 - 1\/6*d**r.\nAnswer: -(d - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 10 in increasing order.\nAnswer: -14, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, x: 1, m: 3, c: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2677\/13664 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3122 + 654\nAnswer: 653.6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x + 3*x**3 + 141 + 141.\nAnswer: 3*x**3 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, -202, -86, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 + -1222102122?\nAnswer: -1222100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4200)*-1 - sqrt(4200)) + sqrt(2058)*2 + sqrt(2058) + sqrt(2058))\/(sqrt(216) - sqrt(216)*-1*5).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -596915.244.\nAnswer: -596914.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 - 119. Let x be (-60)\/(-12) + 1 + g. Solve -5*k = 5*q, 8*q = 4*q - x*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-24)*q*q\/(q**(1\/14)\/q) assuming q is positive.\nAnswer: q**(-295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 42 + 96)*(-5*f + 0*f + 3*f)*(5*f - 2*f - 2*f)*(3 - 2 + 0).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11844 and 8037?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - (-86 - (-8 - 66)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -5)\/(3\/(-64)). Let f = 855 + -839. Calculate the greatest common factor of j and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = 4*m + 11, -3*z = -23*z - 5*m - 610 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9935 + -6996. What is the remainder when d is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -35 - 1056\/33 - -39. Suppose -6*w + 25 = -w. Sort j, 4, w in ascending order.\nAnswer: j, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 31. What is the remainder when 104 is divided by a(-22)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 12*t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**3 + k**2 + 5*k + 2. Let u(d) = d**3 - d**2 - d - 1. Calculate -p(v) - 5*u(v).\nAnswer: 5*v**3 + 4*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1868*-17491\nAnswer: 32673188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-28) - (-125)\/(-2). Let s = -30 - j. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1044 by 1.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)*o)\/(o*o**10) assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3024, -6125, -9226, -12327?\nAnswer: -15428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1374 and 6?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3388 + 33723\/10. Let i = d - -20. Let g = 17230 + -344723\/20. Find the common denominator of i and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 24 = 15*h - 18*h, 4*y - 16 = 0. Solve 16 = -4*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4183 is divided by 2088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6137 + 7*z - 6073 + 12270 in the form x + m*z and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 386077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.7 and -2.18397.\nAnswer: -51.760089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-4)\/(-3)). Let h = -2192 + 2193.947. Let i = 0.053 + h. Which is the third smallest value? (a) r (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20917, -30043, -39171, -48301, -57433, -66567?\n\"Answer: -d**2 - 9123*d - 11793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h - 1. Let g(s) = 134*s - 7. Let u(j) = 6*d(j) - g(j). Let m(v) = -7*v. Determine m(u(n)).\nAnswer: 1316*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*l + 20, -l = -5*c - 5 + 28. Put l, -0.6, -2\/13 in descending order.\nAnswer: l, -2\/13, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and -3.3.\nAnswer: 356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-10))\/((-3)\/15))\/(234\/(-131157)*-19)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8893a63 - 0?\nAnswer: -8893a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13606132.\nAnswer: 2, 181, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/2)\/k)**(-16)*(k**8\/k*k)\/k*k*k**(1\/5)\/k*(k**2*k**(-8))\/(k**6\/(k*k**2*k*k)) assuming k is positive.\nAnswer: k**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2528*h**2 + 0 + 139*h + 1 - 139*h + 2513*h**2.\nAnswer: -15*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59208519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320 - -1606\/5. Let u be 2\/18*(7 + -10). Which is the nearest to d? (a) u (b) 3\/4 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-198)\/(-990))\/((-302)\/(-100) - 3). Suppose -3*h + 4*o - 12 = 4, -o = -h - 4. Solve -2*c = -h*c + l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 733301 + 1036699. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/8 - (-21)\/(-72). What is the nearest to 0.2 in 5\/4, 3, d, 7\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*k + 2*k**3 + 3*k**3 + 32*k + (-k**2 + 0*k**2 + 3*k**2)*((-3 - 1 + 3)*(0*k + k - 2*k) + 1 - 1 - 2*k).\nAnswer: 3*k**3 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26.5, 5, 11, -64 in ascending order.\nAnswer: -64, 5, 11, 26.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17237721?\nAnswer: -1\/5745907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.567514 days in hours?\nAnswer: 61.620336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2322 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -2*y. Suppose -3*c = -c - 32. Solve 2*p + 0*p + c = -3*f, 0 = 2*f + y*p + 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.3 - -31.3. Let s be 13\/24 - 2\/3. Which is the closest to -1? (a) s (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 8*t + 37. Give b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50228 greater than or equal to 51059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 717, -15 in increasing order.\nAnswer: -28, -15, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3 + 2 - ((-1773600)\/(-9900) - 179)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 311\/2 + -156. Let z = -3 - -3. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:36 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*-1*2\/4. Suppose -2*n + g = -c, n - 3*g = -n. Suppose 27 + 3 = 2*k. What is the greatest common divisor of n and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyy when three letters picked without replacement from {j: 5, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkk. Give prob of sequence pk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4725 is divided by 473?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501647363.\nAnswer: 97, 25790179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Let z(m) = m**2 - 3*m + 2. Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501191 is divided by 365.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52 less than -36059451.7?\nAnswer: -36059457.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q)*(-188*q + 74*q + 366*q)*(-4 - 3 + 5).\nAnswer: 1008*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 6070*i\/3 - 18264.\nAnswer: 2*(i - 9)*(i + 3044)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*l = 9, 11 - 3 = 2*l. What is the nearest to 5 in w, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646768?\nAnswer: 2, 19, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15540 (base 6) to base 15\nAnswer: b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 113. Let v = 18 - 16. Find the third derivative of -8*x**i - 12*x**v + 34*x - 34*x + 2*x**4 wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 - -86. Let o = -69 - q. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19710, 19708, 19706, 19704, 19702, 19700?\n\"Answer: -2*f + 19712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)\/g)**(-1\/73)*(g\/(((g**(-1\/36)\/g)\/g)\/g))\/(g\/g**4) assuming g is positive.\nAnswer: g**(129643\/18396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2321*j**3 - 2760*j**2 + 3. Let m(h) = -6966*h**3 - 8283*h**2 + 8. Let p(u) = 8*i(u) - 3*m(u). Find the third derivative of p(y) wrt y.\nAnswer: 13980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -326326\nAnswer: -32632.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 10. Let a be m(-2). Let n be (28\/(-112))\/(a\/8). Calculate the common denominator of (-75)\/63 + 5 + n and -58\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c + c - 36 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 12*t + 3*t**2 + 0*t**3 + 0 + 5\/12*t**4. Differentiate x(b) wrt b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Determine j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i - 14*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/90 - 40938\/(-15)*(-14)\/(-2). Calculate the greatest common factor of 96 and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g**2 - 13*g**2 - 7*g**2 + 36 - 10*g**2 + 26*g**2 in the form w + k*g**2 + z*g and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/11, -1, -0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*r - 1, -4*r = -4*x - 20 + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/16 - 5*i**4\/16 + 5*i**3\/24 + 15*i**2\/8 - 9*i. Factor p(n).\nAnswer: -5*(n - 1)*(n + 1)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -99*v + 8. Let u be t(2). Let f = -40 - u. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 17 = -p, 2*p - 15 = -3*p. Let o be (-8)\/28 + x\/63. Which is the nearest to 1? (a) 0.4 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3\/2 (c) 125 (d) 3 (e) 4 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + -75. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.4 - -9. Let g = -59\/14 + 30\/7. Let d = 6\/35 - g. Which is the biggest value? (a) d (b) 2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 6*l + 4. Let r(c) = -2*c**2 - 7*c - 5. Suppose 3*v + 21 = 3*n, -3*n = 6*v - v + 3. Determine n*p(z) + 3*r(z).\nAnswer: 2*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k + 2. Let z be o(1). Suppose 0 = l - z - 2. Calculate the remainder when l is divided by 6*5\/(-135)*-72.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110681 is divided by 110211.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o + 0*o**6 - 1\/30*o**7 - 10*o**2 + 0*o**3 + 0 + 0*o**4 + 1\/12*o**5. Find the third derivative of a(q) wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 + 22*t - 105. Let c be x(13). Suppose -2*u = m - 4, c = u - 4*u + 3*m. Factor -2\/7*a**3 + u*a**4 + 0*a**2 + 1\/7*a**5 + 1\/7*a + 0.\nAnswer: a*(a - 1)**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 - 6 - 6*y)*(13 + 9 + 3).\nAnswer: -150*y + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -12 - 68\/(-17). Let n(q) = 3*q**3 - 5*q**2 - 5*q + 9. Let s(t) = 5*t**3 - 11*t**2 - 10*t + 19. Let j(d) = -7*n(d) + 4*s(d). Is j(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8180252 - -3?\nAnswer: -8180249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23185.\nAnswer: 5, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*l - 46*l + 2*y - 16, -2*y + 1 = -l. Let p(i) = -i**2 + 17*i + 84. Give p(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**2 + 21*g - 874. Does 38 divide k(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*b = -1479, 4*s - b - 157 = 1821. Suppose 4*y + 3*t - 375 = 6*t, 0 = -5*y - 5*t + s. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:45 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373843236 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1126.7 + -1127. Which is the nearest to 0.1? (a) -3 (b) -1\/5 (c) x (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-7)*(12 + 555). What is the highest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6 and -7\/20080.\nAnswer: 60240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*t - 75 = 8*k, 5*k + 105 = -t. Let p = 26 + k. Suppose -5*q - 127 = -p*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*m + 359*m - 451*m.\nAnswer: -317*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240840 and 36572.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2545 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/704?\nAnswer: 1\/704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-8))\/(10\/(-48)). What is the closest to -10 in 1\/2, 2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 553 = -17. Suppose -2*u + m = 18. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 50.8, -114, 0, 1\/3 in decreasing order.\nAnswer: 50.8, 2\/3, 1\/3, 0, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1498173792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/14 - (-132)\/14. What is the highest common factor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdjv when four letters picked without replacement from {c: 3, v: 3, j: 6, r: 3, d: 1}?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(1 - 2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/528)\/(((-341)\/(-110))\/31)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + 4. Let b be o(0). Suppose 2 = 2*c + 3*g - 5*g, 0 = -g + 4. Let w = 38 + -18. Solve c*n = b*m - 5*m - w, 4*n - 8 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, -2\/7, -35 in descending order.\nAnswer: 25, 4, -2\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = 41*f - 6844. Does 59 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(2 - 175\/70).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127539475 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/120 - 3*r**5\/20 - 7*r**4\/24 + 11*r**3\/6 - r**2. Let k(z) = -8*z**2 + 126*z + 316. Let u be k(18). Determine c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from nurgnuugnnuuuggunu.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -16 + 4 + (1 + -11 - -11) - -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.078 + 0.422. What is the second smallest value in -0.4, t, -2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 5 - -9 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.987 - 14.22. Let z = u + 0.133. Let x = z - -7. Put x, -1, -1\/3 in descending order.\nAnswer: x, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 8*v. Let r be n(-4). Let y = r + 34. Suppose 232 = 4*f + 2*m, -m + 2*m = y. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d = -34 - 579 + 145 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2 + -12 + 2 - (-3547 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 4, k: 3, o: 2, t: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*w**3 + 9*q**3*w**2 - 311*q**2*w**3 + 2*q**2 - 2*q*w**3 - 7*w**2 wrt w?\nAnswer: 18*q**3 - 1866*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 - 12*x**2 + 3*x**2 - 15*x**2 + 19*x**3.\nAnswer: -x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-6 - ((-36)\/16)\/1). Calculate the greatest common factor of j and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13*1\/4*-8. Let b = 35 + h. Let y = b + 8. Sort 0, -3, y in decreasing order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 1079*z**2 - 1626*z - 1608. What is h(-541)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15818757?\nAnswer: 3, 113, 46663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.4, 0.003, -0.3, 4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-357297)\/(-7) + ((-2736)\/(-133) - 20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*d*g**4 - 3*d*g**3 + 1598*d*g + 74023*g**3 + 52403*g**2 wrt g.\nAnswer: -6096*d*g - 18*d + 444138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 40400 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1648*b**4 - 3*b**3 + 45499.\nAnswer: -6592*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 87281.89 minutes?\nAnswer: 5236913400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 1.6. Let l(n) = -n**2 - 2*n - 1. Let y be l(-2). Put j, 0.5, y in ascending order.\nAnswer: y, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 256461, 512978, 769501, 1026030?\n\"Answer: 3*w**2 + 256508*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45422951 or 45422952?\nAnswer: 45422952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*6690\/(-104364).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -14 - 3 - (178 + -190)) + 16\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 2, t: 3, n: 2, u: 10}. Give prob of picking 1 c, 1 y, and 2 u.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15013 is divided by 100.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 85*y + 242. Let d be f(-3). What is the nearest to -0.2 in -2\/11, d, 0.05?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42\/5 of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from suuuuummusf?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960.78393 milliseconds to days.\nAnswer: 0.000011120184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124540, -124574, -124630, -124708, -124808, -124930, -125074?\nAnswer: -125240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 3. Let w = 6 + a. Suppose o = -w*o + 51. Calculate the highest common divisor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 23*h = 980. Let l = -66 + h. Solve -l*d + 34*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.4706 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - 5*o - 3. Let m be d(2). Let v be 509999*m\/(-21) - 2\/6. What is v rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 510 - 510. Solve -2*m + m - 2 = o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1412491 and 6597?\nAnswer: 12712419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/3 (b) 0.2 (c) -24 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)*q*q*q**29*q\/(q\/q**30)*q**(-1\/6) assuming q is positive.\nAnswer: q**(257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19434281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 13. Let b be n(11). Suppose -x - b = 2*p - 5, -p + 2*x = 6. Suppose p = 5*w - 0*w - 60. Solve 4*i - 16 = -5*l, 6*i - w = -4*l + 2*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/(t**(-7)*t))**(2\/33)\/(t**3*t*((t*t\/t**(-6))\/t)\/t*t**1\/(t*t\/t**3*t)) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 3*o + 5. Let p be c(2). List the prime factors of (-488)\/p + (-38)\/171.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 19, 67, 145, 259?\n\"Answer: v**3 + 6*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24928637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 2, -38, -255, 4 in ascending order.\nAnswer: -255, -38, -5, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263.6 - 264. Let k = -2 + -2. Let q = k + 4.17. What is the third biggest value in 1\/4, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= -3\/69634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 41418 = -5*p, -10*p + 124234 = 3*u - 5*p. Let h = u - 2567197\/62. What is the common denominator of 1\/10 and h?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b**3 - 26*b**2 - 1 - 39*b**3 + 21*b + 0 + 1.\nAnswer: 2*b**3 - 26*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9354412 to the power of 1\/2, to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(190\/30 + -6). Let x = 2 - -1. Let k(z) = 3*z**3 - 2*z**2 + 2*z + x - 1 - 4*z**3. Let r(g) = -2*g**3 - 3*g**2 + 3*g + 3. What is j*k(y) + 4*r(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 2*z + x, 4*x = -4*z - 51 + 339. What is the remainder when z is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 102*o**2 + 34*o + 885. Is j(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.5 + 185.4. Let z = -176 + y. Let b = -11.5 - z. Is b smaller than 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1073148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:35 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/((f*(f*f*f**(1\/3)*f)\/f*f)\/f))**(-2\/15))**(-19))**(-15))**(1\/67) assuming f is positive.\nAnswer: f**(152\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152.749 - -150.3. What is p rounded to two dps?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4 - 5*n**3 + 6837*n**2 - 20895?\nAnswer: 12*n**3 - 15*n**2 + 13674*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 999933 divided by 3\nAnswer: 333311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 435*q**3 - 11184*q**2 + 10752*q = 0. Calculate q.\nAnswer: 0, 1, 32, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = m - 79, -l = -4*l + m + 49. Let n be (l\/(-3))\/(2\/(-30)). Suppose 0 = -4*d + 104 + n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36221000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1146399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201010 (base 3) in base 5?\nAnswer: 14440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 327291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 89*o - 46*o + 18 - 38*o - 58 - 35*o = 0 for o.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**4\/24 - 3*d**3\/2 + 3*d**2. Let m be z(-12). Solve 0 = -h + 2*h, 3 = m*u - 5*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19436*0.287.\nAnswer: -5578.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 104*g + 2. Let c be u(1). Let f = c - 70. What is the lowest common multiple of 12 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2202 and 181\/12990.\nAnswer: 4767330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -403*k**4 - 578*k - 233768 with respect to k.\nAnswer: -1612*k**3 - 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. What is the third derivative of -2*y**2 - y**2 - 6*y**6 + 17*y**b wrt y?\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10*t + 5. Let o be (5 + t)*(-3)\/(-9). Suppose -5*x = h - 36, -x = x - o*h - 24. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/35 in -1\/6, 4\/27, 0.12, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 12. Suppose 33*i + 25*i = 697 + 231. Solve i*a - 17*a = -h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60349232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-196)\/(-16))\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 54. Suppose -c + 12 = -b. Solve -b = 2*i, 3*m - 6*m - i = -3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*q - 11, 785*v + 3*q - 37 = 780*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = 2*v, 9*v + 15 = -5*n + 4*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (124\/66)\/((-10)\/(-15)) and -16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.435 times 2.7?\nAnswer: -3.8745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 7*h + 8*h + 6*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2)*(-112)\/168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 61, -4, 2248 in decreasing order.\nAnswer: 2248, 61, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19957 - 19952. Let k(h) = -h**2 + 4*h + 7. What is k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:14 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062404989 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.003665 millimeters to micrometers.\nAnswer: 7003.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x + 99*x + 87 = 4*y + 180*x, y + 3*x - 33 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 70 = -58. Let b = i - 13. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2571680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -20. Suppose -p*v + 6373 = -4*v. Is 39\/104 + v\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-3 + -9) - (0 + -10 - -3) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 11*j + 91 = 0. Suppose 29 = 4*q + 1. Suppose j - 70 = -q*x. Solve -2*g + x = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384111014.\nAnswer: 2, 7, 27436501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 11*h**5\/60 - 5*h**4\/12 - 14*h**3\/3 + 4*h**2 + 21*h. What is the hundreds digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -14. Let b(x) = 2*x + 16 + w*x - 16. Let y(a) = 4*a**2 - 3*a. Let q(l) = 5*l**2 - 4*l. Let d(u) = -3*q(u) + 4*y(u). Give b(d(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**47*x**5\/(x**(-3\/4)*x))\/((x*x**(-3\/2))\/x*x\/x**(-1\/6)*x*((x*x*x**(-1\/7))\/x)\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(556\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 1.2, -0.6, -1.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from {v: 3, c: 1, i: 1, r: 1, h: 2, a: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m - 0*m. Solve i = -5*y - 20, 2*i + y + m*y + 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-9)\/(0 - -3). List the prime factors of z + -5 + 17 + -1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9814 - -9817. Solve -4*i + 19*d + 8 = 17*d, 5*i - 7 = o*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -55*o - 37*o + 92*o - 20*o**2 + 0 + 2. Let r(k) = k**2 + 80*k - 80*k. Calculate r(z(x)).\nAnswer: 400*x**4 - 80*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 2*s = 0. Suppose u - 10 = -5*j - s*j, -3*j + 34 = -5*u. Suppose 2*x + 5*m - 35 = 0, j*x - 5*m + 1 = -9. Solve 3*f = 8*f + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/((-4)\/((-32)\/20) + -4). Suppose -649 = -r*j + 359. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88683*o - 2 + 2 + 88960*o.\nAnswer: 277*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.469 - 1.469. Which is bigger: 2\/221 or v?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 14*q + 14. Let n be w(1). Solve 2*z - n*m = 1, z = -4*m + 2*m + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 92*t + 43*t + 55*t + 2*t**2 to k*t**2 + x*t + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 times 0.04?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2 - 48*h - 819 wrt h.\nAnswer: 8*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139092 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203, -396, -587, -776?\n\"Answer: d**2 - 196*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/3 - 18*l. Let g(c) = -c**2 + 8. What is g(q(j))?\nAnswer: -4*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -624996, -1249979, -1874962, -2499945, -3124928, -3749911?\n\"Answer: -624983*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:24 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*y + 90, 4*y + 32 = -0*f + 2*f. Suppose 0 = -3*o + 213 + 207. Let v be (0 - -1)\/(7\/o). What is the highest common divisor of v and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10197179 and 695?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-40) + (-45)\/(-180).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16519040 is divided by 15253?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -36. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2e38?\nAnswer: 2e3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.809 * 0.03737\nAnswer: 0.21708233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*22\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5513918*d**3*z**3 + 2*d**2*z**2 + 19*d**2*z + 2*z**3 + 24*z + 507 wrt d.\nAnswer: 33083508*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - 132. Let r be t\/(4\/24*-3) + -1. Solve -5*k = -r - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*u**2*v**2 - u**2 + u*v + 885858*v**2 + 2302148*v - 2 wrt v.\nAnswer: 20*u**2 + 1771716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 + 4*w**5\/15 + w**4\/6 + w**3\/2 - 5*w**2 + 8. Let a = 44 + -28. What is the tens digit of b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 1\/336*d**8 + 0*d**3 + 0 - 1\/30*d**5 + 1\/24*d**6 + 0*d**4 + 0*d - 2\/105*d**7 + 3*d**2. Let k(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3936*h**3 - 1186*h**3 - 1193*h**3 + 0 - 1554*h**3.\nAnswer: 3*h**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*o**6 + 7*o**3 + 147*o**2 + 2.\nAnswer: 2400*o**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-4)\/(-24)). Let z = -15 + 11. Let l be z\/(-18) + (-136)\/(-36). Solve -x*i - 2*i - 31 = -l*n, n + 11 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3037 + -1567. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 663, -24, -3 in increasing order.\nAnswer: -24, -3, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47\/8 + (-1)\/(-8). What is the first derivative of u - 3*k**3 - 8*k**3 - 3*k**3 + 0*k**3 wrt k?\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 17\/2*p**2 - 5*p + 16. Is x(7) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5834.86 times -1180\nAnswer: 6885134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/27)*n*n)\/n*(n*n*n**0*n)\/n*n assuming n is positive.\nAnswer: n**(134\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6967398?\nAnswer: 2, 3, 1161233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 7*y + 3. Let g be i(7). Solve -5 = p + z, -g*z + 6 = 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/(5\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from gmkkgmkg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 27*z**2 - 26*z - 2. Let c be t(26). Suppose -2*u = 3*u - 70. Let q = c + u. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21726492 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + h - 5*h + 14, -5*n - 3*h + 16 = 0. Let o be (-87)\/n*8\/(-12). Let m = -18 + o. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -581c31?\nAnswer: 581c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578790*j**3 + 289672*j**3 + 289121*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4\/5, 6, 4, 2, -6.\nAnswer: -6, -4\/5, -2\/11, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.021 or -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(3 + 2 + 10)*((-3 + 5 + 1)*(3 - 1 - 4) + 2 - 6 + 2)*(333 - 333 - 32*v) to the form f*v + m and give f.\nAnswer: 7680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-680 - -669 - (-171 - 1))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/5 - (-8)\/15*(-2871)\/(-1914)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:12 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010587773124 to 6 decimal places.\nAnswer: -0.010588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n - 4. Does 8 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913?\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 26703?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6935*l - 814*l - 520614 = 1892*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6) + 30\/18. Solve -3*b**2 - 5*b - 5*b + 18*b**2 - 2*b**3 - 3*b**x = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h + 2. Determine b(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let q be -11 + 4 + 2 - -17. Sort 2, q, o in descending order.\nAnswer: q, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20099)\/303 - -14*(-10)\/(-60)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1272292 + 11?\nAnswer: 1272303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(4032) + (sqrt(4032) - 1*sqrt(4032)))\/sqrt(4).\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*q + 85 = -4, 2*f - 19*q + 119 = 16*q for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - g = 868, -20*c + 2167 = -15*c - 4*g. Is 35 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/(((g*(g*g*g**(2\/21)*g*g)\/g)\/g)\/g)*g**(-5)\/((g\/(g*g**(-1\/4)\/g)*g)\/g)*g**(-3\/5)\/g**(-4)*g**(1\/2)*g\/(g*(g**2\/g)\/g) assuming g is positive.\nAnswer: g**(-1027\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -572 + 971. Suppose -u*c + 408*c = -207. What is the nearest to -9 in -0.4, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 2*a**5\/25 + 29*a**4\/40 - 6*a**3\/5 - 46*a**2 - 2*a. Factor v(w).\nAnswer: 3*(w + 4)*(8*w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18315, -36775, -55235, -73695, -92155?\nAnswer: -110615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -5*i**4\/8 + 41*i**3\/6 - i**2. What is the derivative of y(a) wrt a?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*v = -26, v - 10 + 5 = 0. Let z(i) = -i**2 + 5*i + 27. Let k be z(p). Solve 0 = g + k*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3662*f. Let j(k) be the second derivative of -k**4\/6 - 2170*k. What is p(j(s))?\nAnswer: 7324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.036, -0.1, -29 in decreasing order.\nAnswer: -0.036, -0.1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967 = -3*b + 35*b - 2*w + 749, 3*b - w = 18 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308139313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 29*i - 5. Calculate b(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (117\/(-15) + (-7)\/35)*-6 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 i, and 1 l when four letters picked without replacement from {i: 3, a: 12, l: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453876*g + 453829*g - 2209 = 0 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let i(c) be the first derivative of -21*c**2 - 212. Calculate i(t(r)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/8910*-15)\/((48\/45)\/8)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 0*z - 8*z + (6*z - 4*z + 4*z)*(-1 + 0 + 0) - 4*z + z + 2*z in the form u*z + v and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-18031)\/(-146)*(-108)\/(-351)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/5)*h**(-4)*h\/(h**(2\/15)\/h*h)*h*h*(h\/(h*h*h\/(h*h**(-16)\/h)))\/h*h*h*h assuming h is positive.\nAnswer: h**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-34))\/q*(q**(-13\/3)\/q)\/q assuming q is positive.\nAnswer: q**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12719703 divided by -4239901?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, 19, 0.\nAnswer: 0, 19, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:55 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273488693?\nAnswer: 1987, 137639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4*g + 62. Let y be r(-6). Suppose -5*w = -i - 131, 0 = w + y*i - i - 31. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46076, 92163, 138256, 184355, 230460, 276571?\n\"Answer: 3*g**2 + 46078*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1777, 3553, 5329, 7105, 8881, 10657?\nAnswer: 12433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1830 divided by -30?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.9306 millennia to decades.\nAnswer: 84493.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6523 - 6515.974. Let y = n + -7. Let s = y + -0.526. Which is the third biggest value? (a) -4 (b) 1 (c) s (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425565 = 106*f - 85*f. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbcxbuxsuxbxxbjxb. What is prob of sequence sc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171 + 163*r - 114 + 301*r**2 - 57 wrt r.\nAnswer: 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5\/26, -0.21, -2\/9, 1\/3 in increasing order.\nAnswer: -2\/9, -0.21, -5\/26, 1\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - v + 2 = 0, 5*v + 31 = 5*l + 41 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528\/40 + 192950\/2125?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -164 + -16b?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - (-3207)\/10215. Let q = a - 78007\/15890. Let n = -1391 - -8287\/6. Calculate the common denominator of n and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 j when four letters picked without replacement from jyjjyyyyjyy?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.09 + 0.09. Let l = 1 + s. Which is the closest to -0.1? (a) 2\/11 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-30)\/(-200)*-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -58*h**2 + 6*h - 2. Let t be m(9). Let u = -446 - t. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 577.6602 hours?\nAnswer: 2079576720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19665 by 3.\nAnswer: 6555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 562542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 604789 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.352 and -262.2.\nAnswer: 92.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 4. Let u = 0.4 + 0.1. Let q = y + u. Which is the nearest to 1? (a) q (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -60. Find the second derivative of -10*t**2 - 6*t - 9*t + l*t wrt t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*z = 2702, -2*o + o + 2*z = -673. Suppose 2*b - o = -5*k, -174 = -4*k + 5*b + 366. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, p: 1, h: 1, t: 3, g: 2}. What is prob of picking 1 p, 1 h, and 1 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 + 1264*u**2 - 3443*u**2 + 2179*u**2 + 12*u - 12*u.\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 294 = -4*v. Let y(r) = r**3 + 5*r**2 - 17*r - 1. Let l be y(-7). Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 6. Let j be a(5). Let l = j - -6. Suppose -2*z + 7*z = 3*d + 8, 5*z - l = -3*d. Put 2, -1, z in decreasing order.\nAnswer: 2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36436.75 nanograms to tonnes.\nAnswer: 0.00000000003643675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/3912 + -99797\/387288. Calculate the common denominator of m and 83\/21.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56065 - 61?\nAnswer: 56004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40171 is divided by 2676.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:52 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 0. Let m be -1*2\/4*-28. Let n = f + m. Solve -2*b = 3*b - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luuy when four letters picked without replacement from uyyluuuulbluuul.\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 28. Let s be d(-9). What is the remainder when 6\/(-15) - 506*s\/25 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 3)*(-43*k**5 + 0*k**4 + 48*k**5 + k**4).\nAnswer: 10*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 43500?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -226, -28, -4, 0.4, 0.5, -0.1949?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l + 3\/4*l**5 - l**2 - 35\/2*l**4 + 490\/3*l**3 + 0. Determine b, given that c(b) = 0.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 494 (b) -0.1 (c) 2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let o be ((-2)\/22)\/((-2)\/4). Let u = -0.01 + -0.39. Which is the third smallest value? (a) m (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 28*b - 68. Let k be d(-7). Let o = k + 258. Let a = -666 - -3303\/5. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 385663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55510, 111094, 166678?\n\"Answer: 55584*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 12*s**2 - 10*s + 17. Give n(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -67, 3, -7 in decreasing order.\nAnswer: 6, 3, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23211000 rounded to the nearest 100000?\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 - -322. Suppose 9*p - 380 = d. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-4)*8\/(-48). Which is the closest to -1\/4? (a) -3 (b) -15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.65 - 19.47. Round g to 1 dp.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100 (base 2) in base 7?\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*g + 27 = 0, 56*w - 60*w - 31 = -3*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5910.4 + -5910. What is the closest to -1 in 1, 0.065, c, 1\/7?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 0.3 (b) 4\/3 (c) -9\/14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 392200 - 54364*x + 1049645 + 27052*x + 32682*x = 0. Calculate x.\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 918\/181?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-30)\/(-6) + -6 + 3. Let i(j) = 4*j**2 - j. Let p be i(1). Solve 3*u + 35 = 3*o + m, -p*u = 5*o - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 146 = -5*h, 3*f = -4*h + 31 - 236. Let u = -51 - f. Solve 3*s + 3 = 3*x, 4*x - 5*s = -3*s + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186596080 by -4.\nAnswer: -46649020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -41. Let l(d) = -142 + 142 + p*d. Let q(r) = 5*r**2 - 6*r**2 + 0*r**2. Determine q(l(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21 - 17)*172\/16. Let r be (-14)\/(-2)*(-62)\/(-10). Let f = r - k. Which is the closest to f? (a) 2\/7 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/24 - 5*g**4\/24 + 7*g**2. Solve o(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - 3*k + 210. Is 35 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 105. Let t(m) = -15*m - 41. What is the hundreds digit of t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 1 y when three letters picked without replacement from {r: 2, y: 2, h: 2, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 + 8*k - 3. Let g be v(9). Let s = g + 15. Calculate the remainder when 3 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877071 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 7*p - 3*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485524421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + ae?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -45*o + 21*o + 22*o. Let h(k) be the second derivative of 0*k**2 - 1\/2*k**3 + 2*k + 0. What is h(d(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:15 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -0.48. Let l be 169\/78 + (-2)\/(-6). What is the third smallest value in h, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -434?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/348 and -59\/580.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8656 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1383, 2\/73, -5 in decreasing order.\nAnswer: 2\/73, -5, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1575124378 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 105*f**3 - 68*f**2 + 422*f - 68. Let y(h) = -26*h**3 + 17*h**2 - 100*h + 17. Let r(o) = 6*n(o) + 26*y(o). Find the second derivative of r(t) wrt t.\nAnswer: -276*t + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/((sqrt(12) + (sqrt(12) - sqrt(432)) - sqrt(12)) + sqrt(12) - sqrt(3)))\/((sqrt(108) + sqrt(12))*4 + (sqrt(588)*1 - sqrt(12))).\nAnswer: -sqrt(3)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-30) + -10 + (-1068)\/1440 and -77\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = 5*i + 111, -255 = -4*n + 3*i. Suppose 3*a - 6*a + 15 = 0. Let z = a + 11. Calculate the remainder when n is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 6*a. Let f(z) = -3*z**2 - 5*z. Let o(i) = 6*f(i) + 5*v(i). Let t be o(1). Let h(g) = 5*g. What is the tens digit of h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**8\/70 + r**6\/10 - 59*r**3\/3 + 59. Let g(y) be the third derivative of f(y). Find the third derivative of g(j) wrt j.\nAnswer: -576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611549059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -19*g + 352. Suppose 41 = t - 102. Calculate the highest common factor of t and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 340*z - 5808. Calculate o(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -10*z + 218. Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*1*2*5 + 4)*3)**2 + 2*(((sqrt(242)*1 - sqrt(242)) + sqrt(242))**2 + -3) + -3 + -3.\nAnswer: 7920*sqrt(2) + 218416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 + 1. What is g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5550)\/(-2300) + 4\/46)*2\/20. Which is the biggest value? (a) -21\/4 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006 and 1737272466?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/3)*h**0*h*(h**(1\/2)\/h)**34*(h*(h\/(h**(3\/7)*h*h))\/h*h*h\/h**(-13))**(-42) assuming h is positive.\nAnswer: h**(-1756\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -685 <= -683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v + v**2 - 31 + 21 - 4*v + v. Let w be l(7). Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1 + sqrt(3) + -1)**2 - ((sqrt(12))**2 + 1)) + (-4 + sqrt(12)\/sqrt(4) - sqrt(3) - (sqrt(3) + (sqrt(3) - -1*sqrt(3)*-2)))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 84644 * -109\nAnswer: -9226196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481127081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from {r: 6, z: 1, m: 1, e: 2, k: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 7*d - 3. Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -4*i**3\/3 - 16*i**2 - 48*i + 174. Suppose q(f) = 0. What is f?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*q - 15 = 0, -3*k + 285*q - 33 = 289*q. Sort 1, 0, -4, 35, k.\nAnswer: -4, k, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4441 + -0.3241. Which is the third smallest value? (a) j (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22040 - -0.65.\nAnswer: 22040.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -35. Let n(r) = -3*r**3 - r - 6*r - 8*r**2 - 3 + t*r**3. Give n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69\/2 or -15.295?\nAnswer: -15.295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbbby. Give prob of picking 2 b and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 63440.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(567) + 2)*-3 + (sqrt(567) - (sqrt(567) + 0 + (sqrt(567) - (sqrt(567)*2 + sqrt(567))))) + (sqrt(567) + 1)*4))**2.\nAnswer: -5400*sqrt(7) + 127975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 11*l + 28*l.\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-1))\/((-4)\/76 + (-296)\/152).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -343*x + 579. Let w(f) = 76*f - 145. Give 2*u(c) + 9*w(c).\nAnswer: -2*c - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 14*j + 91. Let b be n(-6). Let g(t) = -t**3 + 6*t**2 + 3*t + 9. Give g(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6677479 divided by -71\nAnswer: -94049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12426 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a183 + 2?\nAnswer: 4a185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -977*p - 391*p + 7 + 248*p - 238*p in the form f + d*p and give d.\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/33 - 260\/22. What is the remainder when (-536)\/r - 1\/(-3) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435*u - 49 = 1428*u. Sort -2, -5, u, -4 in decreasing order.\nAnswer: u, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 13316490367.\nAnswer: 13316490371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 16*u + 4*i - 4, -2*u + 7 = i. Suppose 15 = 3*k + 2*k. Suppose 0 = k*a - a - 36. Calculate the highest common factor of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (280\/(-30))\/(10\/(-15)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/18))\/a)**17\/(a**(1\/9)*a**(-1\/14)) assuming a is positive.\nAnswer: a**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-2 + 2 - v) + (-1 + 4 - 4)*(-4 + 4 - 2*v) + v - 2*v + 3*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**3\/6 + 2*x**2 + 484*x. Let g(r) = r**2 + 6*r - 9. Let t be g(-7). Let l be t + -1 + (-5 - -2). Calculate n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 14*d - 27. Let r be w(-11). Let o = 9 - r. Solve 2*p - 7*p = g - 20, -4*g - 35 = -o*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63781 divided by 3\nAnswer: -63781\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5\/6 - (-2640)\/(-288)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43\/9 + 14\/63. Let z = 1251.031 + -1251. Which is the fourth biggest value? (a) 0.2 (b) z (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24*i = -23*i + 1, 3*u + i - 7 = 0. Solve -5*j - 3*d = 0, u*j = -0*j + 4*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -41*s**3\/3 - 109*s + 45. Find the first derivative of d(i) wrt i.\nAnswer: -82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b - 13 = 98*b - q, -3*b + 7*q + 9 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/(-54) + 5\/225*10. Solve j*u - 20 = -r - 22, 3*u - 3*r = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 455 + -460.31. Let h = -0.31 - o. Let n be 4\/24 - (-2)\/4. What is the closest to n in 0, 6, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1, -0.4, -100\/9?\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020120111 (base 3) to base 11.\nAnswer: 301a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 + 212. Let a be (-34)\/t + 1 + 144\/(-216). Is 0 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 6. Suppose -24 = -y - 3*y. Let b be k(y). Is b bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 105948*q + 1165417. Calculate j(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 35 - 37*n**2 to d*n**2 + x*n + w and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 + -282. Let b = h + 66. Solve -2*j + 4 + 0 = 3*u, -b*j = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-10) + (-155)\/(-10). Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 - 821\/5. Let y = 11.8 + -13. Let u = 1.6 + y. What is the nearest to -1 in 0.1, u, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97603 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 5:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/(-8) - 3\/((-60)\/(-164)) and -7\/804?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15129451399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 3*k - 2. Let y(r) = r**3 + 7*r**2 - r - 5. Suppose -u - u = 14. Let n be y(u). What is h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314400336?\nAnswer: 2, 82150021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {c: 1, p: 1, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 583 - 2729. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700428.\nAnswer: 2, 3, 58369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 1 - 3*z**4 + (8*z**3 - 3*z**3 - 4*z**3)*(0*z + z - 4*z) to r*z**2 + o + g*z**4 + s*z**3 + c*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 2, x: 5}. Give prob of picking 1 s, 1 d, and 1 x.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9509696.\nAnswer: 2, 7, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35382962893783 + 4\nAnswer: 35382962893787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197664763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 19045 = -5*q + 78657, g + 58630 = 3*q. List the prime factors of q.\nAnswer: 2, 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 - 16*x + 6*x**3 - 24*x - 12 + 4*x**4 - 9*x**2 + 16*x = 0 for x.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-506)\/(-88) + 12\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.4, 0.7, -0.3, -4\/45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36367 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - y**2 + 72 - 73 - 2*y + (y + 5*y - y)*(4*y + 0*y - 2*y) in the form k*y**2 + w*y + a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/1)\/(3\/3). Suppose f*w = w + 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 11) in base 9?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105898 - 2117447\/20. Let x(l) be the first derivative of -4*l + z*l**5 - 4*l**2 + 63\/8*l**6 + 117\/4*l**4 + 3 + 32\/3*l**3. Solve x(n) = 0.\nAnswer: -1, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0452 - -0.4452. Which is the biggest value? (a) 5 (b) v (c) 9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 + 3*v + 1. Determine p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 + 66*q**4 - 144*q**3 + 6*q**2 + 141*q - 72 = 0?\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v + 80. Let y = 35 - 24. Let k be c(y). Let o(h) = 4*h + 28. Let q be o(-7). Solve q = k*d + 2 + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2043 + 2043.000004332. Round m to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c. Let h(j) = -380*j - 2. Determine h(k(o)).\nAnswer: -6840*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-70)*5\/(-2). Let n = q + -19\/56. Let u = 0.2 + -1.2. Which is the closest to u? (a) n (b) -1\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 11*q**2 - 11*q + 7. Let w be c(10). Let j be 815\/20 - w\/(-4). What is the third derivative of -324*f**3 + 314*f**3 - 12*f**2 + j*f**2 wrt f?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214168240 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2060*g**2 + 159291*g - 159291*g + 6339*g**2)*(2*g + g - g)*(-g + 2*g - 3*g).\nAnswer: -17116*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1460.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 10*s**2 + 7. Let t be v(-10). Suppose j - t = -0*j. Suppose -j = -4*p + 17. Solve 0*n + 8 = -4*n, 4*y - p = -5*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-32))\/((-18)\/(-24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30*(2 - 9\/3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-33)\/6 + 6)\/((-5)\/(-2760)) and 3.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19*a. Let c(z) be the first derivative of -z**2 - 4. What is c(j(q))?\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 2*j**2 - 12*j - 28. Let c(a) be the first derivative of -a**4 + a**3 + 25*a**2\/2 + 55*a - 18. Let w(z) = 4*c(z) + 7*x(z). Factor w(b).\nAnswer: -2*(b - 3)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31717*c**2 + 104*c**3 + 31718*c**2 - 2*c + 31715*c**2 - 95160*c**2 + 1 to t*c**3 + s + n*c**2 + f*c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*b + 400, -2*u + 3*b = -127 - 61. Solve 133*x + 180 = u*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/12 - b**3\/6 + 2*b**2. What are the prime factors of t(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/42 and 89\/6659856?\nAnswer: 6659856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Suppose -w - 2*i + 21 = -i, 0 = -m*w - i + 57. 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 the common denominator of 131\/35240448 and -31\/10?\nAnswer: 176202240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z - 24 = -31*z. Suppose 0 = -z*a + 40 + 56. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 64 in decreasing order.\nAnswer: 64, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24a58 + 37?\nAnswer: -24a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, a: 1, x: 2}. What is prob of sequence ax?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**2 + 13*s + 1. Let r be b(-5). Suppose -r*f + 180 = 2*f - 5*o, f + o = 34. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/88, 4, 46, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67000000 rounded to the nearest one million?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -190.2.\nAnswer: -1141.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 50*s**3 + 15*s**2 - 10*s - 77. Calculate u(-2).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -16, 2, 4 in increasing order.\nAnswer: -16, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 15. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -566 - -566. Suppose -1 = -c - h*c, -2*c = l - 7. Solve z + 5*m - l = 6*z, -1 = 4*z - m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v**3))*v*v)**42 assuming v is positive.\nAnswer: v**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 157, 285, 407, 517, 609?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25340, -24528, -23712, -22892, -22068?\n\"Answer: 2*t**2 + 806*t - 26148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1344140040 - -10?\nAnswer: 1344140100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-4)\/114))\/(3036\/176 - 17)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-4)\/12*(-60)\/(-2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d + 6*c - 9*c = -0*d + 10*c + 31, 3*d - 11*c = 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(7\/21). Suppose x*s - 12 = 2*z + 8, 4*s + 2*z = 4. Which is the third biggest value? (a) -3 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 9910*m + 4910405.\nAnswer: 5*(m + 991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 232252661 and 8.925.\nAnswer: 232252669.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/((c*c**7*c*c)\/c)*c**14*c\/(c*c*c\/(c*((c**(-1\/7)*c)\/c)\/c)*c)*c*c assuming c is positive.\nAnswer: c**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.4 or 9962?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -95*o - 81. What is the units digit of l(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let s = -16 - -18. Differentiate k - 5*t**2 + 2*t - s*t + 3*t**2 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 5*u - 17. Let i = -58 - -64. Let j(o) = o**2 - 4*o - 16. Let r(m) = i*j(m) - 5*t(m). Let n(l) be the first derivative of r(l). Give n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 294, 292, 290?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3261 + 3?\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmkmmmkvmmmmmmv. Give prob of picking 1 m and 3 k.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 544801215 minus -0.391?\nAnswer: 544801215.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 - 2*j**2 + 3*j**2 + (-j - j + 0*j)*(0*j + 4*j - 2*j) + 3*j - 3*j - j**2.\nAnswer: -4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -469062, -1876279, -4221634, -7505121, -11726734?\n\"Answer: t**3 - 469075*t**2 + t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*b**2*g*w - 6*b**2*w - 7*b*g*p*w + 27*g*p - 114*w wrt b?\nAnswer: -38*b*g*w - 12*b*w - 7*g*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*sqrt(80))**2 - (sqrt(50)\/sqrt(40))**2).\nAnswer: -2875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p)**(-26)\/(((p**(-2\/95)*p)\/p)\/p*p**21) assuming p is positive.\nAnswer: p**(-663\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) - (-244)\/6. Let j = -26 + s. Suppose 8*d - 109 = 3. Calculate the greatest common factor of j and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 63. Calculate the remainder when j is divided by 34\/2 - (-4 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - o**2 + 0*o - o + 2*o. Let w(t) = -5*t**2 - 9*t. Calculate -9*l(i) + 2*w(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1600 + 9\/(54\/(-4))*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 30853260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/49)\/(f\/(((f\/f**32*f)\/f)\/f))*(f**7)**44 assuming f is positive.\nAnswer: f**(13476\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907119698 to the power of 1\/3, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 34, 84, 156, 250, 366?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744.254 take away -0.16278159?\nAnswer: -1744.09121841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 37080473.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22204, 24232, 27612, 32344, 38428, 45864, 54652?\nAnswer: 64792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105962271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*q**3*w**4 - 5*q**3*w**2 - 6*q*w**4 - q*w**2 + w**4 - 397*w**2 wrt w?\nAnswer: 1632*q**3*w - 144*q*w + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:38 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/3 + 15*z**2\/2 - 94*z + 11139. What is w(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 + 59 = 0. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = -4*m + 4, -21 = -3*m + 3*b. Suppose 8 = -2*a + 2*l, 7*a + m = 5*a + l. What is the biggest value in -1\/2, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -312. Suppose -160 = 4*x + x - 5*y, -x = 2*y + 20. Let d = x - -78. What is the smallest common multiple of d and l?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/(-9)*-12. Suppose 3*h = g*h + 4. Put -1, h, -2 in increasing order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*i + 29 - 12, 0 = i + 3. Let f(m) = 44*m**3 + 6*m**2 - 4*m - 8. List the prime factors of f(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-28))\/(2\/44) and 1\/3 - (-227)\/66?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.2 (c) -3 (d) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.851 rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -3\/4 (c) -1 (d) 1\/13 (e) -1\/4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6, 37249 + 307231 = 4*a + 4*p. What is the ten thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(891) + (sqrt(891) - 3*sqrt(891)))*-4 + (4 + (sqrt(891) + sqrt(891) + 0 - sqrt(891)) - sqrt(891)) - (sqrt(891) + -1 + 3)*6*-5))**2*6.\nAnswer: 216648*sqrt(11) + 6200862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3281 or 3266?\nAnswer: 3266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (-1*sqrt(475) + sqrt(475) + sqrt(475)) - (-1 + sqrt(57)\/sqrt(3))) + -3)**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3455329 to three dps.\nAnswer: -11.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*h, 7094481*h = 7094450*h + 4*i - 171 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 12:42 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3692522113 to the nearest integer?\nAnswer: 60766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138881\/25480 + 3\/5096. What is the common denominator of -43\/64 and f?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*i + 152*i = -225 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.092.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 1. Let a(h) = 2 + 9*h - 1 + 3 - 6 + 3. Calculate -2*a(u) - 5*v(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26820473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2599, -4, 3\/4, 1.\nAnswer: -4, 3\/4, 1, 1.2599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, w: 1, a: 2, c: 1, k: 2}. Give prob of sequence qck.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqxqoua. Give prob of sequence axou.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = 3*l + 17, 5*l = 2*z - 56. Let t = l - 4. Calculate the smallest common multiple of 9 and 6\/21 - 66\/t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 5. Let q = -1339 + 1329. Let p be 6*28\/(-210) + (-28)\/q. Solve -35 = p*r + y*x, r + 4*x = -2*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 380, 439, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -16, -3*u + 5 = 3*h + 20. Let p be -2*(-15)\/(-6)*h. Suppose 3*s + 2 = 4*s. Solve -1 = -s*q + 5*n, -q - 5*n + p = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3911, 3858, 3773, 3656, 3507, 3326, 3113?\n\"Answer: -16*l**2 - 5*l + 3932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05377 or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 71864.149716633 + 0.16\nAnswer: 71864.309716633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/7 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d + 1. Let h be r(6). Let o be ((-104)\/(3 + h))\/(-2). Let t = 25 - o. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmdtham. Give prob of sequence hdm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (-16 + (18 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 738329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -2795, -5289, -7763, -10211, -12627, -15005?\nAnswer: -17339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s + 3 - s**3 + 28*s**4 - 30*s**4 + s**2 to the form k + a*s**3 + t*s + g*s**4 + m*s**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.1. What is the second biggest value in -1\/3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + sqrt(27))**2.\nAnswer: 41 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -163245 divided by -98?\nAnswer: 163245\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131*-2301.\nAnswer: -301431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -1\/2 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 13, 24, 39, 58, 81?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 269*q**3 - 2*q**2 + 220. Let l(h) = -1346*h**3 + 11*h**2 - 1097. Let y(d) = 11*i(d) + 2*l(d). What is the first derivative of y(u) wrt u?\nAnswer: 801*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 477*c**2 - 120.\nAnswer: 477*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:11 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:21 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a + 12. Let l be k(0). Let g = l - 9. Suppose f - 112 = -g*f. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3\/7)*v**(-1\/5)*v)\/(v\/v**(1\/2)*((v*(v\/v**(2\/23))\/v)\/v)\/v*v))\/((v*v\/(v*v**(-4)*v*v)*v)\/((v\/v**7*v)\/v))**24 assuming v is positive.\nAnswer: v**(-383477\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88894237.32201 + 88536642.121. Let o = -357570.4 - q. Let p = o + -24.8. What is p rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -555*a + 556*a. Which is greater: a or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5897 + -2407. List the prime factors of z.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 100*i**5\/7 + 130*i**4\/7 - 94*i**3\/7 - 16*i**2 - 24*i\/7 = 0.\nAnswer: -3\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(3848\/(-7770)))\/3\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + 3*f + 3. Let g be k(-3). Suppose 3*n + 3*n = g*n. Solve 27 = -2*q - 5*l + 3, -2*q + 2*l + 4 = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -25. Suppose 3*d + 3*s = 5*d - p, 3*d - 5*s - 37 = 0. Solve -3*x = d + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/6633, 35, -1.8?\nAnswer: -2\/6633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3093251 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314572 is divided by 328?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1011100011 (base 2) to base 9\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 3226 + 821 = 0. Let a = 213 - g. Solve -9*n + 8*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1783937 or 1783957?\nAnswer: 1783937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/2 + 25*t - 141\/2 = 0. What is t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.1 + 9.1. Let k = x - -51. Which is the closest to 0.1? (a) 4\/3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {l: 2, h: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -d - 1, 5*a - 2116 + 4231 = d + 2117 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-17))\/(1*(-3)\/(-6))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2 + 6 + 1 + 10*h - 3. List the prime factors of m(4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 90 = 3*d - 0*l, 4*d + 2*l - 134 = 0. Let v = 38 - d. Let g(o) = o**3 - 7*o**2 + 7*o. Determine g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 704, 1243, 2040, 3119, 4504?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 19013*o + 34*o**4 + 19010*o - 4*o**4 to the form z*o**2 + d*o**3 + w*o + c + b*o**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 80 = 9*f, 18*g - 15*g = 4*f - 41 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*z - 20, 0 = -5*z - 3*x - 0*x + 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 205990901.8 take away -0.24065?\nAnswer: 205990902.04065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 217552580*u + 2366456253232820 = 0. What is u?\nAnswer: -21755258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 2\/63 (b) 0.13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w + 6062 = 529*w. Solve w*r = 63*r - 98 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1892187 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105269*z**3 + 85328.\nAnswer: 315807*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**5\/5 + 128*b**3\/3 + 135*b - 147. Differentiate r(p) wrt p.\nAnswer: -8*p**3 + 256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-3 + 4 + -2)\/(((-1)\/(-5273))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5102 * -170\nAnswer: -86.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.104 less than 5.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2396*k - 2367*k = 0. What is the fourth smallest value in 3, -0.5, -3.7, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -16. Suppose j = -2*k + 20. Let m be (-10)\/k*(-2 + 3). What is the greatest common factor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + -4d8?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 2280?\nAnswer: -2279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -94. Let b(h) = 4*h**2 - 17*h + 2. Let q be b(s). Let k(t) = t**2 + t. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(-82)*3\/(-6)*36.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 50 = 2*h + 9*h. Solve -2*n - 18 = -15*v + 20*v, 3*v - h*n + 17 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983153 divided by -3?\nAnswer: -661051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*208\/(-429). Sort d, 4, -2\/7, 0.3.\nAnswer: -2\/7, 0.3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -58, -7, 2, -5 in descending order.\nAnswer: 2, 0, -5, -7, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l**3. Let z(y) = -5*y**3. Suppose -4*w = -4*a - 64, -5*a + 225 = -6*w + 316. Let i be -2*1\/2*1. Let k = i + 5. What is k*h(s) + w*z(s)?\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2511 = -5*y - 2*r, -2496 = -5*y + 3*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Let s(d) = d + 1. Let y(x) = -1. Let a(j) = v*y(j) + 2*s(j). Let k(m) = 1 - 3*m - 1. What is k(a(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7)*y*y)\/y**1 assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39790923 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 0*a - 2*a)*(3 + 0 - 1) + (3*a + 0*a - 4*a)*(761 + 762 + 2749) to s*a + i and give s.\nAnswer: -4270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1444 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (27 - (6 + 45))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 517*w**2 - 12042*w + 539. Give z(280).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 6701857. Let u(z) = z**2. What is i(u(k))?\nAnswer: -k**4 - 6701857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6321 and 15638595?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 36*n**2 - 36*n + 45. Let v be r(35). Solve -5*s + 5 = -v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 19461*i + 19023*i - 38506*i + 1.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/7)*m*m**(-4) assuming m is positive.\nAnswer: m**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 214453664, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2452, -4967, -7536, -10153, -12812, -15507, -18232?\nAnswer: -20981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -31, 4\/9, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04323109 rounded to 3 decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/4 - x**4\/12 + x**3\/6 - 2*x**2. Let m(j) be the first derivative of o(j). Does 14 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 = 4*o, -o - 4*b = o + 14. Suppose -3*c = o*z + 18, -25*c + z = -27*c - 11. Suppose -2 - 1 = -3*d. Put 2, c, d, -1 in descending order.\nAnswer: 2, d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1159093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -3*y + 198. Solve 21 - y = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-64)\/8 - (-2 - (-18 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, 4, -52152?\nAnswer: -52152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 3, c: 1}. What is prob of sequence hqcq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70664861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.94 - -45.94. What is the second biggest value in t, -1\/4, -2\/7, 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*r**2 - 3*r**3 + 2*r**3 - 285*r**2 + 148*r**2 in the form s + d*r**3 + w*r + o*r**2 and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 3. Let q be u(2). Let l = -26 + 25. Let r be l\/4 + 56\/(-32). Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-8))*p*p)\/(p\/p**(-28)) assuming p is positive.\nAnswer: p**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5138 - 5019. Calculate the remainder when y is divided by 79.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = 5*y + 2*g, 5*y + 5*g = 0. Find the first derivative of -1 - y*h**2 - 2 + 2*h**2 + 3*h**2 wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*a + 3*t - 2*t, 4*a + 100*t - 4535 = 1003*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 7, -5 in descending order.\nAnswer: 7, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.1 (c) -0.8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22869 and 650133?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3443 and 18205?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2*p**2 - 3*p + ((4*p + 6*p + 9*p)*(1 + 4 - 2) + 5*p + p - 3*p)*(p + 1 - 1).\nAnswer: 58*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 2. Let c be j(-7). Let a be 4\/(-10) - (-7)\/c. Let w(y) = 15*y**3 - 2*y**2 + 1. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275542961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1297\/1140 - -21\/95. Let q = l + 2\/3. Which is the third biggest value? (a) 0.5 (b) -6\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21263617860 + 0.39?\nAnswer: -21263617859.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/5))**20*(k*k*k**2)**(-3\/8) assuming k is positive.\nAnswer: k**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n - 108. Determine o(35).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*b**3 - 6454826*b + 6454825*b + 2 + 5*b**2 + b**2 to l*b**2 + r*b + v*b**3 + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1051 (b) 0.9 (c) 0.4 (d) 11 (e) -5 (f) -2\/9 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 261 + 394 = -797. Sort -3, c, -1 in descending order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 - 16*b**2 - 68*b - 4. Let c(r) = -3*r**3 + 16*r**2 + 67*r + 3. Let o(i) = 4*c(i) + 3*d(i). Find the second derivative of o(l) wrt l.\nAnswer: -18*l + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 13 = h, -4*z + 22 = -5*h - 1. Solve 42*d + z = 40*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*b = -52821, 19 = -3*b + 4. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707312 - 707312. Determine d, given that 24\/5*d**2 - 2*d**3 + s + 18\/5*d**5 - 8\/5*d - 24\/5*d**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s**2)*(4678*s**2 + s - 1763*s**2 - s).\nAnswer: 5830*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 5*z - 3. Let b be v(6). Suppose -27 = -3*u - 3*l, 2*u + 3*l - 32 = -10. Let m(k) = -k - 3*k + 6*k + 4 - u*k. Determine m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**2 - 194*h + 807. What is a(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 - t + 1. Let z(c) = 4*c**3 - 2*c**2 + 3*c - 39. Determine 2*k(r) + z(r).\nAnswer: 2*r**3 + r - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*v - 240*v + 20 = 0. Let u be v\/6*0\/(-24). Determine a so that 3\/4*a**2 - 3\/2*a + u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 + 1)*(173 + 127 - 358)*(69 - 51*i - 69) + 2*i - 3*i - i as r*i + v and give r.\nAnswer: 17746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -145. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.083 - 0.159. Let r = p - 20.858. What is r rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 0*y. Suppose v = -x + y - 0, -2*v + 10 = 4*x. Solve -3*z = z + x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, q: 5}. Give prob of sequence qqii.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - x**2 + x**2 + x - x**2 - x**2 to the form o*x**3 + p + c*x + i*x**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5173, -3, 4, -1, 2, 0.2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -45*j + 1. Let h(f) = -f**2 + 5*f + 4. Let s be h(6). Is d(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + p - 37. Let y(m) = 5*m**2 + 9*m + 50. Let w(r) = -4*k(r) + y(r). What is the derivative of w(q) wrt q?\nAnswer: 2*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 z when four letters picked without replacement from ccczczzczzcz.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.025 + -3.975. Let u = 6 + -3. Let k = 2.94 - u. Sort -0.1, f, k.\nAnswer: f, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263072 greater than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -279740 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875525.\nAnswer: 3, 5, 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14 + 3*i - 6*i + 2*i. Let d(k) = k**3 - 12*k**2 - 13*k + 7. Let v be d(13). Calculate g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 279*f - 3068. Calculate p(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 5, i: 7}. What is prob of picking 2 c and 1 w?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 * -0.018.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2437 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*(-78)\/4. Suppose b - l + 2 = 0. Calculate the remainder when 21 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.52519 + 26.57. What is w rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 7)*(r + 4 - 4) + r - 5*r - 18*r - r - 2 + 2 + (-2 + 0 + 0)*(-3*r + 3*r + r) as b + l*r and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 426*y**4 - 5514*y**3 - 4656*y**2 + 5511*y + 5082 = 0.\nAnswer: -11, -1, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*w**4 - 745392*w**3 - 964101924*w**2 - 414802864065*w + 833468102034.\nAnswer: -3*(w - 2)*(4*w + 5179)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3822)\/71344)\/((4\/4)\/(-12))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 111*m + 115*m = -4, 3*h + 4*m - 26 = 0. Which is the third biggest value? (a) h (b) -0.05 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 26976.\nAnswer: 80928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 - 14580*n**3 - 13358793*n**2 - 53260308*n - 53202036 = 0. What is n?\nAnswer: -3637, -1219, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*f - 1 + (1 + 1 + 0)*(3*f - f - 6*f) + f + 3 - 3)*(329*f + 543*f - 357*f) as s*f**2 + z*f + m and give s.\nAnswer: -4635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let j(g) = g - 6. Let p = -9 + 17. Let y be j(p). Solve 2*d + 2*z = y, z = b*z + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:23 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.0294 rounded to one decimal place?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*o + 18*o**5 - 63*o - 51*o wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) + 58\/87?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275206 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4*q + 0*q + 2*q) + 659*q + 5662 - 5662 - 132*q.\nAnswer: 529*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12*3)\/(16\/60656). What is the greatest common divisor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4556*z**2 + 28 - 12939*z**2 - 3779*z**2.\nAnswer: -21274*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - (1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*i + 5*x + 1, 0 = -5*x - 15 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14668 is divided by 14628?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1318, -977, -380, 497, 1678?\n\"Answer: 4*l**3 + 104*l**2 + l - 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 428 and -13.\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u. Let d(b) = -173*b + 6. Let v(h) = 119*h - 5. Let a(i) = -3*d(i) - 4*v(i). What is a(z(l))?\nAnswer: 430*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 63, 0.2, 60\/119, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 + 30*x + 143. Give f(-4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5 + sqrt(704) + 4 - (sqrt(704) - (-5*sqrt(704) - sqrt(704)))*1)**2)*4.\nAnswer: 384*sqrt(11) + 101384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 8 = -5*y, 5*y - 8 = -4*d. Let v(r) be the first derivative of 1\/7*r**d + 0*r + 2\/35*r**5 - 1\/14*r**4 - 2\/21*r**3 + 1. Factor v(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 0*d - 2*d)*(2*d - 5*d + 4*d)*(0*d - 4*d + 5*d + (3*d + 2*d - d)*(-3 + 3 - 1)) as w + m*d + c*d**3 + s*d**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0\/(6\/3))\/(-2). Let r(u) = u**3 - c*u**3 - 12 - 14*u**2 - 7*u + 0 - 7*u. Let v be r(-13). Let s(f) = 11*f**2 - 1. Give s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8034?\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (12 + (-19 - -11 - -6))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*((-15)\/25*5 + -1233)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvkuan. Give prob of picking 1 u, 1 n, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24159284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11088 and 43782984?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 9. Let b be k(8). Let n be (3 + -5)\/(-2)*2. Solve -z = -3*i + b, 4*i - 2 = n*z + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 1, l: 3, f: 2, c: 2, e: 2}. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/11 + 661310*a**2\/11 + 1983956*a\/11 - 2645264\/11 = 0?\nAnswer: -4, 1, 330658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 45266.6798 to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36 + 0.04. Let s = -11.1 - -7.1. Put 1\/2, s, t in ascending order.\nAnswer: s, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-875)\/(-49) + 1*1\/7. Suppose 0 = -21*n + z*n + 4782. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1587 + 1652.7. Let j = -71 + x. Let l = -0.3 - j. Which is the closest to 1\/3? (a) 4 (b) 1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 827399*a**2*l*n**3 - 11*a**2*l*n + 39*a**2*n**2 + a**2*n - a**2 - 1058*a*l*n + 2*a - 55*l*n wrt n.\nAnswer: 4964394*a**2*l*n + 78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y + y)*((4*y**2 - y**2 + y**2)*(2 - 1 + 0) + 0*y**2 - 4*y**2 + y**2).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 15\/67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 + (-8)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*i = 479*i - 24, 20 = -5*c + 5*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 minutes before 9:57 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 726\/13, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -113 - 83. Let z be -3 + 54 + -3 + 8. What is the highest common divisor of k and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112000022021 (base 3) to base 8.\nAnswer: -1032511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Suppose 2*t + 23 = 3*o - w*t, -5*o - 2*t + 21 = 0. Solve o = -2*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 76. Suppose 4*u - 5*c - 29 = 10, 3*u + 3*c = 9. Let b be 2\/(-4) - (-861)\/u. Calculate the highest common factor of v and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 - 453?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = 0. Let q(p) be the second derivative of p**3\/6 + 13*p**2\/2 + p. What is q(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/5 - 2382*x**4\/5 - 959514*x**3\/5 - 27212818*x**2 - 2151952956*x\/5 = 0?\nAnswer: -391, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -36*d - 78. Is f(-15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617836, 617792, 617748, 617704, 617660, 617616?\nAnswer: 617572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/5 - 1519*j\/5 + 304 = 0. What is j?\nAnswer: -1520, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 d when four letters picked without replacement from oodoooodod?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 99*u**3 + 55*u**3 + 54*u**3 - 7*u**2.\nAnswer: 10*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43925646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1746819 days?\nAnswer: 15092516160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - -2.14. What is the closest to 1\/3 in -2\/11, n, -9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/3 + 317*t**3 + 4793*t**2\/3 - 4145*t + 6692\/3 = 0.\nAnswer: -7, 1, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8902, 8097, 7292, 6487, 5682?\n\"Answer: -805*h + 9707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*c**2 - 5089 + 5089)*(2 - 1 + 1)*(33*c + 35*c - 15*c - 12*c) in the form d*c**2 + v*c**3 + t + p*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 61188613?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3*((-48)\/(-18))\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 7) to base 16\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 292753224?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/119 + 2971\/238. Suppose -3*s + 0*s = -5*j + 65, 0 = -3*j - 2*s + 39. Let t = j - d. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004938 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**7\/420 + 119*z**6\/60 + 27107*z**5\/60 - 48195*z**4\/4 + 492075*z**3\/4 + 32*z**2 + 5*z + 1. Solve m(v) = 0 for v.\nAnswer: -243, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1028, -0.2, -22, -0.3?\nAnswer: -1028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376949?\nAnswer: 376949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + 8\/(-30). Let t be 1 + (-56)\/35 - -1. Let 0 + t*f**3 - 4\/5*f + k*f**2 = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c - 265. Determine k(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -25, -2\/31 in ascending order.\nAnswer: -25, -2\/31, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/3 - 178*c**2 - 13388*c\/3 + 4640 = 0.\nAnswer: -24, 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:35 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 40*r**2 - 175*r + 36. Calculate s(-44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302657313 to the power of 1\/2, to the nearest integer?\nAnswer: 17397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -48*d + 6970. Let a be q(145). Solve -x - 3*p + a = 18, 0 = -4*x - 4*p - 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (-8 - -3 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 + 4*l + 4. Let t be n(-3). Solve -4*c = 3 + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66\/23 + -155\/46. Let u = 239\/3 + -82. Which is the second smallest value? (a) -3 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 6*q**2 + 18*q + 10. Let y be d(-8). Let k(t) = -5*t. Let s(r) = -5*r. Let z(p) = y*k(p) + 5*s(p). Let x(i) = 5*i. What is x(z(c))?\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/9)\/(1\/6). Suppose 2*f = 5*d - f - 32, -4*f - p = -2*d. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 divided by -6?\nAnswer: -949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.91 + 0.61. Let y = -2.7 + -11.3. Let p = y - v. Which is the closest to 1\/2? (a) -0.5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 0, 0*g = -2*v + 3*g + 2. Let u = 4 + -1. Suppose 7*z = u*z + 8. Solve -4*m - b = 8, -b = z*m - v + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:12 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*l - 2*l - 2*x, -2*l - 21 = -5*x. Let j be l\/5 - 726\/(-110). Solve 3*i = -3*s + 15, -25 = -5*i + 2*s - j*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -813558 + -5?\nAnswer: -813561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79399327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 9*i = 5*u - 50, 0 = 5*i - 20. Is 4 + -6 + u - -5247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*a**3 + 233*a**3 - 157*a**3 - 242*a**3.\nAnswer: -558*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1337 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, w: 1, s: 2}. Give prob of sequence ws.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1427760?\nAnswer: 1427760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41\/155 + 2\/31. Which is the nearest to -2\/5? (a) m (b) -0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -13*s - 8. Let b(q) = 7*q**2 + 2*q + 2. Let z be b(s). Let v be z\/20 - (28\/10 - 3). What is the nearest to -3 in -2, 2\/5, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14061249623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3752034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 l when four letters picked without replacement from {h: 4, l: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.207 + 2.107. What is the second smallest value in p, 7, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22200 divided by -7751\nAnswer: 22200\/7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 10*x**2 - 4*x - 197. Give n(0).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042010344 - -10?\nAnswer: 2042010404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -3*y**3\/2 - 97*y**2\/2 + 77*y. Let q be h(-11). Solve -q*b + 1 = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*i + 21*i - 32*i + 4 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5656692 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1443)\/(-42735)*77 + (-41)\/10 - (-222)\/20?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1969863 and 4389?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783*g - 531*g + 1515*g = -2985*g + 155304 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 20*f**2 + 21*f - 70. What is the tens digit of m(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q**2 - 27*q - 6. Determine d(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 2\/9*u**3 + 1\/63*u**7 + 0*u**2 + 0 + 1\/18*u**4 - 1\/10*u**5 - 1\/45*u**6 + u. Solve a(c) = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y + 3*j - 24 = 0, 0 = -2*y + 4*j + 22. What is the smallest common multiple of 1 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a - 552. Calculate s(-62).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46950 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*-5)\/((3\/(-2))\/(810\/(-540)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/8 - 3*h**3\/2 + 2*h**2. Let y be b(9). Suppose -3*w + y = -t + 4*t, 5*t - 24 = -2*w. Solve 0 = 2*g + 4 + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -2, 6 in decreasing order.\nAnswer: 6, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 11 = 3*h, -9*d = -2*h - 14*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/(-6)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -8 + -5 - (13 - (-1 + 0))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 - 6*b**3 + 2*b + 2*b**3 - 559 - 668 + 82 as d*b**2 + x + o*b**3 + r*b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 105 = 7*q - 10*q, 7*q - 95*s = -q - 93*s + 304 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*d = -33*d - 511. Solve -d = 14*k - 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59829 and 913143.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39.2 - -38.673. Let w = n + 0.527074. What is w rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {l: 4, q: 6, f: 5}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2242 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b + 135*b = 85*b - 232*b + 6336 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1597.4231 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11*y + 712 - 92 = 14*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -0.3, -2.4, 1, 5, 1\/4, 54.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 3. Let h(r) = 1. Let q = -70 + 69. What is q*x(n) + 6*h(n)?\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 0*v + 5*v - 2*v + (-2 + 3 - 2)*(-3*v + 2*v**2 + 3*v).\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3674 - 3310. Solve -50 = d*c - 354*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -57490*d - 24778183. What is c(-431)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**10\/w)**6*(w*w\/(w*w**7))\/(w**2*w) assuming w is positive.\nAnswer: w**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -o - 83, h = -o - 23 - 50. Let q = 132 + o. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -8. Let f(q) = -q. Let k(c) = c**2 - 5*c. Calculate y*f(d) + k(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 725597 - 1941697783\/2676. Let w = m - 1\/223. Let x = 238 + -953\/4. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 2*j - 5*j + 4*u, -2*u - 15 = -j. Calculate the highest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 13) to base 9.\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55605 is divided by 12983?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 72 = -0*r. Let k(z) = z**3 - 2*z**2 + 5*z + 20. Let c be k(r). Round c to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 20*i**3 - 25*i**2 - 10*i.\nAnswer: -5*i*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12653, -12845, -13111, -13451, -13865?\n\"Answer: -37*x**2 - 81*x - 12535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ejejeeee?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -17.49\nAnswer: 157.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13816434251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d - 28*d - 18*d + 70*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*v. Suppose v*c - 176 = 187. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/8 - 7*w**2. Let s(k) = k + 3. Let d be s(-3). Let n(t) = -t + t + t + d. Determine n(a(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(325) - (sqrt(13) + sqrt(143)\/sqrt(704))**2 - ((-2*sqrt(1872))**2 + -5 + ((sqrt(1872) + -1 + sqrt(1872))*-1 + sqrt(1872) - sqrt(1872))).\nAnswer: -480029\/64 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u. Let c(z) = -870*z + 1. Calculate k(c(r)).\nAnswer: -2610*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93684 = -7244*p - 217808 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21250*n = 21640*n - 1560 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 42. Suppose 0 = -4*d - 4*h + 724, -d - 7*h = -2*h - 185. Let r = d + -157. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -24 + 24 + 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-48)*30\/75)\/(6*(-12)\/11448).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 570, 826, 1040, 1200, 1294, 1310, 1236?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79964*h - 79962*h - 1 + 0 + 27*h**3 to the form u*h**3 + d*h + k*h**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let m(l) = 60562210*l**2. Calculate n(m(j)).\nAnswer: -3667781280084100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(-2*y + y - y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-45) - 138\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/20160 + o**5\/15 - 4*o**2. Let w(u) be the third derivative of l(u). Let s(g) = -7*g**2. Give s(w(p)).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose 0 = -5*f - 3*l + 11 + 9, 5*f = c*l + 20. Solve -4*k = u - 17, 0*u = -f*k + u + 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.685 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-3)*11\/12. Which is greater: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2305, 2307, 2309, 2311?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 2. Let c be 1\/i*(-20)\/(-2). Let t = c + 3. Solve -t = -0*n + 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/732 and -33\/150670.\nAnswer: 904020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {q: 2, r: 8, h: 1, y: 1, m: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 7. Let y be c(9). Suppose -3*x + 6 = u - x, -x + 3 = 0. Let g = y - u. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 2.22659\nAnswer: -2.72659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:01 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (3 + sqrt(720) + -1 + sqrt(720) - sqrt(720)) - (2 + sqrt(720)*1))**2 + -4 + (-2 + sqrt(720) + 1)**2.\nAnswer: -24*sqrt(5) + 1437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 128. Let v be o(-13). Solve 1 = -4*a + 5*p, v*a - 7 = -3*p - 2*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 74*a**2 - 7*a + 3. Let h(n) = 16*n + 1. What is 3*h(o) - l(o)?\nAnswer: -74*o**2 + 55*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/9, -0.8, 1, -105\/17, 5, 4\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n**2 + 2*n)*(3*n**3 + 0*n**3 - 5*n**3 + 5*n**3 + 3*n - 3*n + n**3 + 0*n**2 + 0*n**2 + (-n**3 - 2*n**3 + n**3)*(2 - 6 + 3)).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, b: 2, i: 1}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49187, 49189, 49193, 49199, 49207, 49217, 49229?\n\"Answer: l**2 - l + 49187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3059\/2*w**3 - 20 - 22*w + 593*w**2 + 147*w**4 = 0.\nAnswer: -10, -2\/7, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140247 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -1, 4, 1, 0, 36 in increasing order.\nAnswer: -9, -1, 0, 1, 3, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.11 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1144*-0.0716\nAnswer: 0.00819104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 267336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38459398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2\/o)**33*o**8*(o*o\/((o\/(o\/(o\/(o\/(o*o**(-10))))))\/o)*o)\/o assuming o is positive.\nAnswer: o**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 90880?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 - 1 = b, -5*j - 18 = -b. Let d be 0 + 3*(b - -3). Solve 1 = -d*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -224*s**2 - 114*s - 1.\nAnswer: -(2*s + 1)*(112*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 41*z = 42*z - 69, 271 = -3*a + 5*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by (-216)\/(-45)*15*(-2)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 8*k - 4. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(243) - 4*sqrt(3)*1.\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 4848*n\/5 - 517888\/5.\nAnswer: -2*(n + 112)*(n + 2312)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6 - 10 = 0, b = -4*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k - 19*k - k**3 + 5*k wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*f**2*s**3*v**2 + 21*f**2*v + f**2 + 2*f*s**3*v**2 - 3*f*s**3*v wrt v?\nAnswer: 250*f**2*s**3 + 4*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285096750?\nAnswer: 2, 3, 5, 380129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41371 is divided by 3746.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -12*y**2 + 4*y - 2. Give x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12614*f - 2648515 + 2648515.\nAnswer: -12614*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -3 + 2 - (188 + -193)) + -29.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/5 in -5, -0.1, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r + 984768 = -67*r - 86*r. Do r and -5353 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -42*q + 15\/2*q**2 + 22. What is the derivative of s(t) wrt t?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 21*o - 103. Let r be u(13). Let w(x) = 14*x**2 + 1. What is w(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*z - 115, c - z = -1 + 24. Calculate the remainder when (1 + (-130)\/(-6))*3 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((13 + 3 - 11)*(4 - 5 - 2) + 0 + 0 - 1)*(-5 - 6*m + 9*m + 2) to the form l*m + j and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -71815.9991041 take away -264?\nAnswer: -71551.9991041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1556 and 1172696516.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/8*(-28)\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 6 - 7 - 30*b**2 - 7 in the form l*b + q*b**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(120) - (6*-1*sqrt(120) - sqrt(120)))\/(sqrt(270)\/sqrt(5)*3*6).\nAnswer: 13*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014057027 rounded to 6 dps?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 831 = -904. Let o = n - -68. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(44)\/sqrt(4) + sqrt(11))**2 + 4)*3)*-3.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -54246*y - 16. Let p be n(4). What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s**3 - 6*s**2 - 6*s + 6. Let u(t) = -22*t**3 - 11*t**2 - 11*t + 11. Calculate -11*q(j) + 6*u(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245 * 2839.\nAnswer: -695555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 42*o - 47*o + 5*r, 0 = 2*r - 6. Solve 2*n + 2*n = o for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6276997, 6277031, 6277065, 6277099, 6277133?\n\"Answer: 34*a + 6276963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3241 - -0.0171. Let p = 109.66827 + -109.36. Let v = x + p. What is v rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*c + 6*c + 12, -r + 10 = -4*c. Suppose -32 = -r*o - a + 5, -5*o = a - 100. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:54 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7079 + -7074. Let k(s) = -9*s**3 + 6*s**2 + 5*s - 3. Let z(m) = 4*m**3 - 3*m**2 - 2*m + 1. What is g*z(n) + 2*k(n)?\nAnswer: 2*n**3 - 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -656, -1020, -1422, -1874?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y + y)*(0*y + 0*y - y**2) - y + y - y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -574*a - 23536. Calculate t(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19618*v - 38603. Calculate l(-2).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000001110 + 11010001?\nAnswer: 111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Suppose -2*y + o*y = 0. What is the nearest to 1 in 0.5, -1\/4, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -13*v**7\/210 - 55*v**3\/6 + 2*v**2 - 5*v. What is the derivative of i(s) wrt s?\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/2 + 963*j**2\/2 + 5142*j + 8370.\nAnswer: 3*(j + 2)*(j + 9)*(j + 310)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289 is divided by 1188.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Suppose 64 = -s*z - z. Let g be 8\/z - (-44399998)\/(-4). What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -865485426 divided by 299891.\nAnswer: -2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 8 + -7 + (2 - -1) + -8\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g - 3567 - 3563 - g**2 + 7132 - g**2 to the form b + n*g + j*g**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.8 + 3.8. Let k = -22.5 - m. Which is the nearest to 1\/4? (a) -3\/8 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**5*k*k))*k\/(k*k**(-1)))\/(k**1)**(7\/2) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -38*d + 168 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/6 + g - 36. Let d(m) = -140*m**2. What is s(d(t))?\nAnswer: 140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2063 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 635934 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 3*q + q**3 - 4*q + 1 - 75440*q**2.\nAnswer: q**3 - 75440*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 212?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5973*a + 226965. Give z(38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - k**2 + k**2)*(-12*k + 75*k + 28*k + (-3 + 4 - 2)*(2 - 2 + k) + 0 + 0 + 2*k) to a*k**2 + l + f*k**3 + o*k + u*k**4 and give u.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/36*-4*(-3 - -1)*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/(s\/(s*s**(2\/23))))\/s*s*(s*s**(-1\/9))\/s)**(3\/26))**6 assuming s is positive.\nAnswer: s**(616\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*(1860\/72)\/31*(-1776)\/(-32).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 50*h + 293. Give i(20).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1138, 1137, 1136, 1135, 1134?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 4240?\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153423, -153516, -153633, -153780, -153963, -154188, -154461?\nAnswer: -154788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 432. Let o be 2\/(-6) + s\/27. Let v = o - 3. Is 3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 38, 58?\n\"Answer: 20*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let h = d + 0. Let k(z) = 30*z + 208. Let i be k(-7). What is the third biggest value in i, -4\/3, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68844 - -68886. Suppose -175 - 5 = -3*k. Calculate the smallest common multiple of z and k.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:36 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121b7 (base 13) to base 4.\nAnswer: 20013322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, 3\/8, 1, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609885 = -438*a + 447*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 8. Let i = -31 - -20. Let n = x - i. Solve 4*f - 7*c - 8 = -2*c, -c = -4*f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r**2 - r)*(191 + 4*r**2 - 10*r**2 - 202).\nAnswer: -12*r**4 - 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20595724110 rounded to the nearest one million?\nAnswer: 20596000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 23*m**2 + 27*m - 10. Let l be b(-18). What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/39 and 59\/120504.\nAnswer: 1566552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 - (-84 - 4 - (233 + -259)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.56066 and 2.\nAnswer: -7.12132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 - 13 = m, -t + 3*m = 12. Is ((-280)\/6)\/(t\/(-9)*1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -39*u**2 - 7. Let w(i) = 26*i**2 + 5. Let n(m) = -5*c(m) - 7*w(m). Let r(y) = 9*y. Calculate n(r(f)).\nAnswer: 1053*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2186224 and 538.\nAnswer: 588094256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 8*k + 10. Let z be a(-2). What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1893*d**3 + 22*d**2 - 36 wrt d?\nAnswer: -11358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:36 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2740633760 + -3?\nAnswer: -2740633763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -32 (c) 6 (d) -42 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -292\/3 + 98. Suppose -1\/3*n - c + 1\/3*n**2 = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*s + 75 - 12 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -80\/3 (b) -3 (c) 2617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/7, -0.058, 236, 1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 20. Let a = k + -51. Let r = 36.00000038 - a. What is r rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 10. Let r = 11.7 + -12. Suppose -282*u + 278*u = 28. Which is the third smallest value? (a) r (b) u (c) j (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 0*o + 4*o + 0*o + o - 2*o + (-2 + 3 + 0)*(2*o + 0 + 0) - o - o + 4*o)*(0*o**2 - 3*o**2 + 7*o**2).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -3. Let i = -504 + 534. Calculate the greatest common factor of m and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.00000954 - -34. What is v rounded to 7 decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -77. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 230 - 230 - 5*i. Let b(q) = -3*q. What is b(r(x))?\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3 + 2)\/(-1) - -19 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6*a - 2*a + 8, -1866*o + 2*a - 20 = -1863*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14 + 1. Let g(w) = -32*w - 4. Let j be g(c). Is (-1)\/(j\/(-104) - 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**3 + 4*x**2 - 4*x. Let k(c) = -c**3 + c**2 - c. Give -16*k(r) + 4*p(r).\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*u + 92*u + 702. Do -156\/11 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(-1) - -7. Suppose -f = -5*s + 3*r + 13, -4*s + 17 = -3*r. What is the tens digit of 10*s*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-16 - (9 + -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -10. Suppose -30 = -5*k + y + 4*y, 0 = k + 3*y - 10. What is the units digit of k\/(-28) - (-186)\/x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 90*f - 46*f - 42822. Which is bigger: -371 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2256140?\nAnswer: -1\/451228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/30 + o**4\/18 + o**3\/9 - o**2\/3 - 5*o. Factor p(h).\nAnswer: -2*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 257*x**2 + 256*x.\nAnswer: x*(x - 256)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 6. Suppose 0 = 3*v - v - 6. Suppose v = j - h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/13668 and -67\/248.\nAnswer: 847416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -24*c**5\/5 - 13*c**4\/4 - c**3 + 645*c**2 + 3*c + 5976. Find the second derivative of s(y) wrt y.\nAnswer: -288*y**2 - 78*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 215219.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 1 = 0. Let r be -17 - (16306\/(-1085) - 2). Which is greater: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y + 2*c - 20, y - 3*c + 13 = 0. Let b be -2 + -1*(-9 + y). Solve x + 0 + b = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.048 - 3.048. Let m = -0.6 + -10.4. Let y = -8 - m. What is the nearest to -0.1 in y, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:48 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from ovuxzzoxooaaazv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16759*b**3*y**2 + 20*b**3 - 4*b*y**2 - 69*b*y + 5*y**2 + 25*y wrt b.\nAnswer: -100554*b*y**2 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 2*x + 862 = 58*p, 0 = -p + x + 176. Calculate the lowest common multiple of p and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - 52 - (-2285 - -2287)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12033 and 0.2?\nAnswer: 2406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:41 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-10*(-5)\/10. Let x be (-16)\/(-40) + 156\/i. Factor 7 - x + 8 + 2*n - n**2.\nAnswer: -(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -7, -5, -21, -61, -131?\n\"Answer: -b**3 + 21*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4 - 29. Suppose 4*g + 2255 = 3*m, 1 = t*m - 4. Let c = g - -3389\/6. What is the common denominator of -49\/6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15349 divided by 31\nAnswer: -15349\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0, -3\/13, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 11*s - 15. Let z(t) = t - 11. Let p be z(3). Let g be f(p). Let l be ((-3)\/g)\/((-3)\/18). Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4238983.\nAnswer: 7, 43, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -64. Is 12 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzz when four letters picked without replacement from {z: 3, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 + 10 = 2*o, 4*o - 3 = -3*q. Let a(n) = n**3 - 8*n**2 - 8*n - 7. Let y be a(9). Let t(i) = i**y + 1 - 2*i**2 - 2 + i. What is t(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*b**2 + 792*b wrt b?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 66331475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -123, -13 in ascending order.\nAnswer: -123, -13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 2*o + 2. Let r be l(-2). Let v be 3\/r*-3 - 0. Which is the closest to 2? (a) -0.5 (b) v (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10355892*k + 1554812 with respect to k.\nAnswer: 10355892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088 = -27*h + 30*h. Suppose -3*w - h = -7*w. Is w a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811535 divided by 4?\nAnswer: 811535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29759394 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011794 to the power of 1\/2, to the nearest integer?\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-2146470\nAnswer: 107323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 339*b**2*p**3 - 62*b**2*p - 324*b**2 + 14591*b*p**3 - 4*b*p - 2*b - 2*p - 3 wrt p.\nAnswer: 2034*b**2*p + 87546*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -9\/2*b**2 - 1\/6*b**3 + 0 - 15*b. Determine x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 9*x**3 + 18*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaakakaa. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -29404?\nAnswer: 29403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 5*z**4\/12 + z**3 + z**2\/2 - 7*z. Let b be f(-4). Suppose -2*j = -17 - b. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 11*a + 3. Let q be p(-11). Differentiate 8 - 2*k**4 - 4 + q*k**4 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18198 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 932917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -3*k + 4, -5*k + 18 = -p. Let o(i) be the first derivative of 2 + 0*i**p - 1\/3*i**3 - 2*i. Differentiate o(r) with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.09998259 - 23.1. Round f to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 8*t**2 - 3*t + 3. Let d be r(-7). Let h = d - 21. Suppose -2*a - 4*x + h + 42 = 0, 5*a - 4*x = 249. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = z - 35, 3*z - 27 = -0*s - 3*s. Let g be 2 + (2 - 50\/s). Let i = -52 - -55. Which is the third biggest value? (a) i (b) g (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.17 and 38?\nAnswer: -272.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114233205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.431338 from -1872.\nAnswer: -1872.431338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266577*m**2*p**2 + m*p**2 - 295*m*p - 109*p**2 + 1 wrt m.\nAnswer: 533154*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 449758?\nAnswer: 449741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*l + 150 = 0, 2*l + 40 = 5*w - 120. Calculate the highest common divisor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 9*n**5\/20 - 7*n**4\/12 - 10*n**3\/3 - 2*n**2 - n + 13. Factor d(r).\nAnswer: (r - 2)*(r + 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9072722 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16532 - 17012 = 480*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*w = 111911 - 27273. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.487s to microseconds.\nAnswer: 45487000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*r = 2106, -5*a - 2*r = -3*a - 4230. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4*r)\/r**(-4))\/((r*r*r**(-6\/5))\/r)**(-1\/7) assuming r is positive.\nAnswer: r**(314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)*o)\/o*o**1*((o**(3\/5)*o)\/o)\/(o*o\/((o\/((o**(3\/2)\/o)\/o))\/o)) assuming o is positive.\nAnswer: o**(-9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1207, 0.21, -2.3, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 11, o: 3}. Give prob of sequence vo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 942*f**2 - 22*f**3 + 2*f**3.\nAnswer: -23*f**3 - 942*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 72. Let c = 18 - 11. What is the remainder when j(-6) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2\/3, -0.5, -1 in increasing order.\nAnswer: -1, -2\/3, -0.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 10 = -4*j + 5*t, -5*j + 19 = -3*t. Suppose -20 + 5 = -j*r. Solve -1 = -4*x - 3*g, 0 + 6 = r*x - 3*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 76839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 99*n + 1701. Let k be z(22). Solve -5*q = b - 3*q - 6, 3*b + q = -k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107375.9l in millilitres?\nAnswer: 107375900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 + 17 - 10 - 2 - 6*d. Let l(w) = -7*w + 4. Determine 5*l(q) - 6*p(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -27*h - 105. Does 21 divide r(-112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44*c**2 + 2. Let a(n) = -2*n. Give b(a(k)).\nAnswer: 176*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + 511\/14 + -7. Suppose 2*m - 93 = -m. Is g at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16772 + 3997 = 1655*p + 4124 - 6525 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -83*y**6\/30 + 29*y**3\/3 - 36*y + 18. Let k(t) be the first derivative of q(t). Find the second derivative of k(o) wrt o.\nAnswer: -996*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let y(f) = -112*f - 3688. Let d be y(-33). Which is the closest to d? (a) 1\/3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -36*n + 2412. Let q be f(67). Solve q = -2*i - 4, 7*i - 10*i = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-147)\/35 - ((7 - 1) + (-22)\/11).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3426 and 950.\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 54. Let a be p(-18). Let t(s) = 3*s - 11*s**2 - 35*s + 10*s**2 + 55 - a. Is 33 a factor of t(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155657\/15 + -10377. Let g(q) be the second derivative of 0 + 0*q**2 - z*q**6 - 5\/3*q**4 + 6\/5*q**5 + 0*q**3 + 7*q. Suppose g(w) = 0. Calculate w.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4251 - 11.5749. Let u = -0.2 - 0.8. Which is the second biggest value? (a) -2 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {p: 4, z: 2, l: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3\/100*a**6 + 0*a**3 + 0 + 0*a + 3*a**2 + 1\/15*a**4 + 2\/25*a**5. What is s in r(s) = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1166)\/(-318))\/(2 + (-92)\/6) and -49\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/3 + 19*z. Let l(s) = 20*s**2. What is l(a(b))?\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1125239, 1125241, 1125243, 1125245, 1125247?\n\"Answer: 2*h + 1125237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92508.35um to millimeters.\nAnswer: 92.50835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 21*d + 43. Give h(20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*n**3 - 90*n + 1 wrt n.\nAnswer: 750*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -4*(sqrt(243) - sqrt(243)*1) + sqrt(243))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 94*k**2 + 596*k + 98. Give u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 11*c**2 - 14*c + 18. Determine s(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/6 - i. Let l(c) be the second derivative of c**4\/12 - 6*c. Determine l(u(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17054 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*m - 1614*m**3 + 279*m - 719*m**3.\nAnswer: -2333*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j\/(j**2\/j))\/(((j\/j**4)\/j)\/(((j\/j**(5\/6))\/j)\/j)))**(4\/17) assuming j is positive.\nAnswer: j**(-46\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2024 - -5766. Suppose -16*o + z - 302 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827760.3t to kilograms.\nAnswer: 827760300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6606 and -1803829.56.\nAnswer: -1797223.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5)*g*g)\/g)\/(g\/(g*g\/(g*((g*g\/(g*g\/(g\/(g\/(g*g**(-2\/9)\/g)))))\/g*g)\/g*g)))*(g\/g**(-3\/7)*g*g)**(2\/75))**5 assuming g is positive.\nAnswer: g**(-4231\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 13*u - 14. Let m be t(11). Suppose 0 = s + 5*n - m, 5*s + 57 = -4*n + 13. Let x be s\/14*(-28)\/6. Solve x*r + r = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39914*l**2 - 1368*l.\nAnswer: 79828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1331 - 487 - 323 + 12*o - 522.\nAnswer: 12*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 5. Let r = 8 + w. Solve -2*d = 4*y + r, -y - 4 = -2*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/2 + 38*v**3\/3 + 496*v**2 + 4480*v + 7536. Let t(j) = 0. What is j?\nAnswer: -8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126062527919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/5 + 226*k**4\/5 - 4796*k**3\/5 + 22896*k**2\/5 + 66816*k\/5 = 0?\nAnswer: -2, 0, 12, 16, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -739*h + 2347 wrt h.\nAnswer: -739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10651, -21213, -31765, -42301, -52815, -63301?\nAnswer: -73753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(110\/389) - 464\/1276?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 69. Let p = z - 0. Let d = -53.8 + p. What is d rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-16)*x)\/x*x\/((x*x*(x*x*x*x**(-3))\/x)\/x)*x)**30*(x**(1\/4)\/x)\/x**(1\/4)*x*x\/(x\/x**0)*x*x\/(x\/x**(1\/2))*x assuming x is positive.\nAnswer: x**(1145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 1, i: 2, p: 3, b: 6, u: 2}. Give prob of sequence opp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) - 1*sqrt(1920))\/(sqrt(490)*-1) + (5*sqrt(3)*-1 - (sqrt(9)\/sqrt(3) + sqrt(3))*-4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25925 equal to -1581408\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65302.22448 rounded to the nearest 1000?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 150, 1174, 3952, 9360, 18274, 31570?\n\"Answer: 146*u**3 + u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125982079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -377 at least as big as -37015\/98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.047502 * -1\nAnswer: 3.047502","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2 + 1 - 1 - 1 + (0 - 1 - 1)*(-6 + 2 + 2) + 893 + 1364 + 1226 + (1 + 1 - 4)*(1 - 1 + 2) + 2 + 2 - 2)*(0 + t + 0) to i*t + o and give i.\nAnswer: 3486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - y + 6 = -5*w, -w - 2*y - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-3 - 20\/(-4)). Let v be h\/((-4)\/(-228)*1). Let y = 479 + v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 5*y**8\/56 - 31*y**4\/12 + 8*y. Find the third derivative of o(g) wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 1, q: 2, c: 3, x: 1, j: 3}. Give prob of picking 2 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 29 - 352 = 0. Suppose a = -5*n + k, -5*n - 251 + 644 = -2*a. Suppose -2*g - n = -5*c, 2*g - 3*g = -4*c + 61. Solve 4*m = m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + n + 74 = 0, 3*k - 2*n + 17 = 75. Suppose -k = -q - 0*q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/110 and 51\/27430.\nAnswer: 301730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/24 - o**3\/6 - o**2. Let h be (-3)\/6*(1 - -1). Let m(p) = 4*p + 7. Give h*m(w) - 6*x(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 10*f - 10*f + 3)*(14*f - 25 + 25) to a*f + i*f**3 + n*f**2 + l and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let t(a) = -2*a**2 + 57791*a + 8. Calculate t(s(x)).\nAnswer: -18*x**2 + 173373*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*r - 103*r + 63*r + 164*r.\nAnswer: 383*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.7788539 to two decimal places.\nAnswer: -9.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 297 + -293. Let g(w) = 188*w + 22. Is g(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:13 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s - 8. Suppose 4*x - 11 = -y + 2*y, -8 = -x + 2*y. Let i be q(x). Suppose 0 = i*v - n - 387, -2*v = 3*v - n - 484. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*0 - (-16)\/(-4). Is ((-144)\/108)\/(r\/7251) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y**2 + 2 + 5*y + 6*y + 10 + y**3 - 7. Let d be t(11). Determine p, given that -14*p**2 - p**2 + 5*p**3 + d*p**4 + 0*p + 10 - 5*p = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 19*b**2 - 48*b - 78. Let l be i(-11). Suppose -4*x + h = x - 29, 3*h = 3. What is the greatest common divisor of x and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10067 - 70470\/7. Sort d, -3, 0.1, -0.3.\nAnswer: -3, -0.3, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332199 - 666105 - 666094 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-225)*(-100)\/40?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) - (-5915)\/364. Solve -25*s + 27 = -z*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*l - 16, 0*h - h + 7 = -l. Suppose -10 - 22 = -4*r. Suppose 0 = -u, -4*o + 2*u - r = 7*u. Is l at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 731, 1870, 3641, 6134, 9439, 13646?\nAnswer: 18845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + sqrt(6655) + sqrt(6655) + 3*sqrt(6655)*-1 + sqrt(6655))\/(sqrt(132)\/(sqrt(1728) - (-3*sqrt(1728) - sqrt(1728))))*-2.\nAnswer: -1320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvcccvccvcccccccc. What is prob of sequence cvvv?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - 32*i - 4*i + 11*i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**2 - 42*z + 50. What is w(7)?\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 41?\nAnswer: 30\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 161877 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208832\/27 - 7733. Find the common denominator of 62\/603 and l.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 24*j + 890. Let s be b(-37). Solve l + 6 = -s*x, -5*l = x + 9 + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2061579088.00000468 + -2061579134. Let a = i - -46. Round a to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1062.57 to the nearest integer.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281642 - 89715. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 + 17 = 0. Suppose -3*j + v = -7*j + m, -2*v = 3*j - 17. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277662 is divided by 91?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - z = -16, z - 3*z = -8. Let i(h) = -11*h**2 - 7*h - 7. Let u = -5 + -2. Let n(j) = -6*j**2 - 4*j - 4. Determine q*i(a) + u*n(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = -u, 169*x - 170*x + 4*u = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 200 - 181 - (0 - 102) - 1\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/(c**9\/c)*(c\/(c*c*c**(-2\/23)))\/(c*c\/(c\/(c\/(c\/(c*(c*c**(-3\/13))\/c))))*c))**24 assuming c is positive.\nAnswer: c**(-601176\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 - 218. Let v be (-17 - (2 + 1)) + -3. Let o = v + 36. Calculate the greatest common factor of o and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-30)*6\/(-20). What is the closest to -0.1 in -1\/2, -2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/g**(-2)))*g)\/(g*g*g*g**(-4\/3)*g))**(-12\/19) assuming g is positive.\nAnswer: g**(-28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {x: 16, p: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67.95 + 68. Let u = 0.2 + -0.25. Let z = u - k. What is the second smallest value in z, 2\/7, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q. Suppose 0 = -q*p + 4*p - 8. Solve p*i + 2 + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a - 199. Let d be p(-13). Calculate the highest common factor of d and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2924419 is divided by 1462190.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223923 and 3.\nAnswer: 223923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = -2*m - m, 20 = -3*m - 5*u. Suppose m = 6*v - v - 10. Let j = v - 2. Solve 11 = -b + 4*z, 0 = -j*z + 3*z - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3912 and -155\/609294?\nAnswer: 2437176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 - 3*y + 2. Let u(i) be the second derivative of 3*i**5\/10 + i**4\/2 - 8*i**3\/3 + 5*i**2 - 8*i. What is 16*g(b) - 3*u(b)?\nAnswer: -2*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 q when three letters picked without replacement from zwzvqvzqzqe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23062, 23043, 23024?\n\"Answer: -19*v + 23081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 22*h**2 - 28*h - 73. What is the lowest common multiple of 30 and a(-23)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75798 + 75798 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - (-1734)\/(-48))*72\/84?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 16*j - 44. Suppose 2*x - 3*o - 11 = 25, 0 = -x - j*o + 32. Solve 5*r - s + x = 0, 0*r = -r + 3*s - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43314*y**3 + 21660*y**3 + 21660*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 901*v + 3. Let s(o) = -14*o**3 + 2*o**2 + 1804*o + 7. Let x(u) = 14*l(u) - 6*s(u). Find the second derivative of x(c) wrt c.\nAnswer: 84*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175940041.\nAnswer: 23, 7649567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 975, 1998, 3097, 4308, 5667, 7210, 8973, 10992?\n\"Answer: 6*q**3 + 2*q**2 + 975*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1175, 5, 2, -4, 4 in ascending order.\nAnswer: -4, 2, 4, 5, 1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0 + 0 - 2 + 0 - 11*j. Does 10 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 1456, 4605, 10740, 20857?\nAnswer: 35952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 412, -14, -37, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (0 - -1))*6415\/(-5). Let n = k - -2275. Suppose i - 2*i + 272 = -5*s, 4*i + 4*s - n = 0. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.205 and -5?\nAnswer: 6.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -5 + 1)*2. Let o(v) = -2*v**2 + 3*v - 8. Let h be o(c). What is h rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + t**2 + t**2 + (t**2 + 1 - 1)*(-4 + 27 - 3)*(4 + 20 + 1) to z + v*t + m*t**2 and give m.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14137.\nAnswer: 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470883 and 3689.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/15)\/((-3)\/(-2169)). Let v = -225 - n. Solve 24*u = 28*u - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 414 - 409. Solve s - i*s = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, -20, 2, 0, 4 in decreasing order.\nAnswer: 4, 3, 2, 0, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -53637, -2, 1, -329.\nAnswer: -53637, -329, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31133122312 + 3?\nAnswer: 31133122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/8 + 259895*f\/4.\nAnswer: f*(f + 519790)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10367 and -2.36?\nAnswer: -24466.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1820*w**2 + 1881*w**2 - 3457*w**2)*(2*w - w - 4*w)*(2*w + 2 - 2)*(0 + 3 - 1).\nAnswer: -2928*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-79)\/(-12))\/((-66)\/(-44)) and -47\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u = 62*u + 4*i, 4*u - 2*i = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(10\/4))\/(-48 - 15141\/(-315)). Solve -6 = 2*h, -4*v + 7 = a*h - 7*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:09 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12353700.\nAnswer: 2, 3, 5, 41179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163196 divided by 11.\nAnswer: -14836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285466286*t**3 + 429799590 with respect to t.\nAnswer: 856398858*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113897, 247379, 380847, 514295, 647717, 781107?\nAnswer: 914459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560 or -0.3994?\nAnswer: -0.3994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.376 - 32.724. Let j = q + 31. Suppose -20 = -4*x - 0*x. What is the smallest value in 4\/5, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**7\/21 + h**6\/15 + h**5\/10 - h**4\/6 + 5*h - 4. Let c(o) be the first derivative of w(o). Factor c(q).\nAnswer: -2*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10225\/125 + -195 + 117\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*((-228)\/84 - -3). Let h = 3 + -3.4. Which is the nearest to 2\/7? (a) h (b) k (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.926ml in litres?\nAnswer: 0.262926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - x. Let s(q) = -11*q**2 - 9*q + 381. Let l(d) = 6*k(d) + s(d). What is the hundreds digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 6*p - 16*p in the form x + d*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n. Let h(y) = 58*y**2 - 213*y - 1. Calculate h(f(p)).\nAnswer: 11368*p**2 + 2982*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -523.8 - -523.9. Let d = -11 + 9.9. Let a = d + 0.6. What is the nearest to m in 0, a, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, -45, 0.4, 3, -0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1455, -6045, -13689, -24381, -38115, -54885?\nAnswer: -74685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387 - 1916*d - 21*d**3 - 21*d**3 - 388 + 44*d**3.\nAnswer: 2*d**3 - 1916*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000012 - -101121?\nAnswer: 1101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45310 + 15631?\nAnswer: -26346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 112 = 5*s + x, x + 52 = 2*s. Calculate the remainder when 23 is divided by (-3)\/((-9)\/s) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/21))\/v)\/(v**(-1\/2)*v))**(-5) assuming v is positive.\nAnswer: v**(85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in 1, 2, 3\/19, -3, -2\/43, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:46 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*i - 1, -5*i + 4*q + 0 = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 992472*g**3 + 1984953*g**2 - 992478*g.\nAnswer: -3*g*(g - 1)**2*(g + 330826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - -23?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/168*12\/40*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(580\/(-696) - (805\/(-90) - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2738 = -2*x, -x + 150 = 5*m - 3280. Let j = m - 146. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 66, 106, 184, 312, 502, 766?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - 3)*1\/(-2). Solve l*z - 5*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11449476781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58027.\nAnswer: 58027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17493067?\nAnswer: 17493067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74358.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75343 - -100?\nAnswer: 75443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42802119 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28.04. Sort r, -3, 1\/25.\nAnswer: -3, r, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 17*r**2 - 111*r - 23. Determine w(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842401239.\nAnswer: 7, 61, 859, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*p - 5*n + 10, -2*p + 29 = 5*n. What is the tens digit of (663 - 63\/p) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -14. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2365\/2961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15526 - -15526.01. Which is the third smallest value? (a) i (b) 2 (c) 135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*x + 77*x = 26. Let f(l) = -l**2 - 8*l + 185. Does 10 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -144\/73?\nAnswer: -144\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74104 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-168))\/((-1)\/1)*(-14)\/(-105)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 10*d = 3. Let k(i) = 4*i**2 - 5*i + 6. Let r be k(d). Let o(f) = 25 - f + r - 49. Give o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away -23740?\nAnswer: 23739.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456027434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j + 7*j + j + 8*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 648\/5. Is 0 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 5*w + 3. Let c be f(-4). Let m = -10 + c. Suppose -4*r - m = k + 7, 5*k + 26 = -3*r. Put -5, 4, r in decreasing order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6490 and 18172.\nAnswer: 90860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i. Let k(q) = -3*q + 0 + 0. Let s(b) = 2*b. Suppose 2*y = 4*y + 10. Let t(r) = y*s(r) - 3*k(r). Calculate t(w(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27173 minus 2?\nAnswer: -27175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*f = 3*s - 212*f - 9, -3*f - 81 = 99*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 - v + 7. Let l(d) = 9*d + 1. Let o be l(-1). Let k be (-2 - 0)\/(o\/28). Let t be u(k). Let j(b) = -b**3 + b + 7. Give j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k. Let z be y(-1). Suppose 0 = -v - z*r + 3, 5*v + 0*r - 24 = -r. Calculate the greatest common divisor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 1. Let v be j(-5). Let q be 4\/v - (-30)\/9. Suppose 4*g - 32 = -4*w, -9 - 17 = -q*w - g. Let u(c) = -c + 7. Determine u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 + 62 = -3*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1822 not equal to -687313\/377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*t - 36. Solve 5*p + t*f + 4 = 0, -p - 2 = 2*p + 2*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:23 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695861127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0003631 and 95?\nAnswer: 95.0003631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.12*765.\nAnswer: -3916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 11) in base 12?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 150*b + 9 - 11 + 1.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(96) + 2*(sqrt(45) + sqrt(5)) + 4.\nAnswer: 4 + 33*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3) - 2) + 276\/414.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 803408 and 1192.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/14 - 13\/(728\/(-24)). Suppose -15 = -5*y, 5*y - 3 - 2 = u*s. Solve 11 = -s*b + 16*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a)**7*(((a*a**(-1\/5)\/a)\/a)\/a)**(-5\/14))\/((a**(-3\/4)\/a**0)\/(((a\/(a*a*a**(-5\/3)*a))\/a)\/(a*a*a\/(a**3\/a)))) assuming a is positive.\nAnswer: a**(1109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(8 + 1)*9. Let z be 2 - (2 + -10 + 1). Put -3, z, n in descending order.\nAnswer: z, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -35*g**3\/3 + 83. Let o(r) = 2*r**2. What is o(t(m))?\nAnswer: 2450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 25 = -5*l, -h + 10 = 2*l - 0*l. Suppose h*w - 12 = -4*w. Is 4 a factor of (3 - (w + -2)) + 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 1391 = -51079. Round p to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 895 = -575. Suppose -l + h = 3666. Let v = l + 1992. Round v to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 4. Let t be v(-10). Let g = -1594\/35 - -699\/35. Let l = t + g. Which is the closest to 1\/3? (a) 0.4 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 3 + 3*u + 0*u**2 + 2*u**2 + 0*u. Let l(x) be the second derivative of 0 - 4\/3*x**3 + 23*x + 4*x**2 - 5\/4*x**4. Determine -3*l(p) - 8*q(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4354914 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - d**3 + 0*d**3)*(8*d + 12*d**2 - 1 - 10*d + 0*d).\nAnswer: -36*d**5 + 6*d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*y - 13, -3*v + 4*y - 6*y = -8. Let k = 10 - v. Calculate the greatest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + 360*d + 11. Let l(v) = -v**2 - 72*v - 2. Give -2*g(y) - 11*l(y).\nAnswer: y**2 + 72*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39921473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938978.\nAnswer: 2, 17, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*z - 19 = 0, 2*p - 2*z = 3 + 11. Let c(b) = 6*b**2 + 5*b - 5. Let w be c(7). What is the remainder when w\/15 - 4\/(-10) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -256*v - 2923. List the prime factors of n(-53).\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 2 (c) 0.4 (d) 14 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -9.7. Let g = 1.1 + 0.9. What is the nearest to 1 in -6\/7, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5397.847 litres?\nAnswer: 5397847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -29.55. Round k to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52419, 52406, 52389, 52368?\nAnswer: 52343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 4*b**2 + b + 3. Let m be r(-4). Let t(n) = -4*n + 3. Let j(v) = v. Let g(w) = m*t(w) - 6*j(w). Give g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/19, 2, 1\/6, -3 in ascending order.\nAnswer: -3, -20\/19, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 23. Let q(b) = -4*b + 87. Let p(i) = -2*q(i) + 9*x(i). Suppose -a = 3*a - 56. What is the tens digit of p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14*b + 2*b + 15 + 12*b + 12*b. Is 37 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 2)*(-4 + 4 + 2*o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-1 + -5)**2 + sqrt(175) + -3*(0 + sqrt(175))**2.\nAnswer: -325 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubm. Give prob of sequence ub.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -42. Let u(n) = -6*n + 0*n**2 - n**2 - 1 - 2 - n**2. Let p(s) = -s - 1. Let l be ((-3)\/(-2) + -1)*2. Determine l*u(i) + m*p(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 80*o + 83*o + 17 = 0, 0 = -4*c - 5*o - 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 - 79700*c\/11 + 478128\/11.\nAnswer: 2*(c - 39844)*(c - 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 112. Let b be (-8)\/k + 8626\/7. Let h = b - 13564\/11. Is -1 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23760328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32510792 to the nearest integer?\nAnswer: 5702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 431*t - 10530. What is y(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 47)\/((-45)\/15) - 55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - h = 1, -3*d + 4*h - 8 - 6 = 0. Let j be -2*d\/20*1. Put 0, -1, j in descending order.\nAnswer: 0, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = 6*t. Let k(g) = 3*g + 10. Let j(p) = -1. Let f(u) = 6*j(u) + k(u). Does 5 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88980 - 89524 = 3463*f + 53517 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -571\/53833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-48) + 15\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000876638 to 7 decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 12*j**2 - 29*j - 10. Give i(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -527 + 531. Solve -d*x - 1 = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 6*n + 8. Let u be i(-6). Let j = 24 + u. Let y = j - -73. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.984876977 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 3*u + 21 = 0, -31 = -5*c - u. Suppose -11*n + c*n + 690 = 0. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35877286*h - 14661412.\nAnswer: 35877286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*c**3 - 455*c**3 + 877*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14695, -29393, -44101, -58825, -73571?\nAnswer: -88345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -248, -5, 4\/7, -7\/2 in increasing order.\nAnswer: -248, -5, -7\/2, 1\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 18086 = 8*m - 10*m, -5*v + 4*m + 22601 = 0. What are the prime factors of v?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605302851 - 605302851 - 71*c.\nAnswer: -71*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 + 19. What is n(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 7*q**2\/2 - 18.\nAnswer: (q - 2)*(q + 3)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - 42*y - 18*y to g*y + b and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 20. Let d be j(0). Let y = -19 + d. What is the nearest to y in -3, 2\/9, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose 0 = -329*p + 345*p - 80. Put f, p, 15 in descending order.\nAnswer: 15, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209240 and 4980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-3) + (172 - 218).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1672\/(-132))\/(-38)*6\/(-38).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqkq when four letters picked without replacement from {n: 2, k: 6, q: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4847, 34\/7.\nAnswer: -4847, -1\/4, 34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -26. Let c(v) = -v - m*v + 4*v. Let p(g) = 2*g. What is p(c(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4202, -1\/43, -7 in ascending order.\nAnswer: -4202, -7, -1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 minutes before 10:43 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2\/4 - 78970059*n\/2 + 2078756739487827\/4 = 0.\nAnswer: 26323353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*((-2 + 4 + 0)*(-6 + 3 + 1) - 2 + 1 + 0 + (0 + 3 - 2)*(1 + 4 - 4)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272329197 or 272329196?\nAnswer: 272329196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 - 9*k - 42. Let h be -13 + (9\/(-3) - -10). Is z(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8625 is divided by 70.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4090*b**2*j - 37*b**2 - 104*b*j**2 + 7092*b + 4*j**2 + 14 with respect to j.\nAnswer: 4090*b**2 - 208*b*j + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -11 - -16 - -45.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/(-1395))\/((-32)\/36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1830 divide 13574968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208*-0.472.\nAnswer: 98.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 19. Put g, -4, 1 in decreasing order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71106.38g to milligrams.\nAnswer: 71106380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 731 - 42. Suppose 0 = -8*g + h + 991. What is the highest common divisor of 70 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*k + 1842*k - 118 = 3681*k + 3*y, 2*k - 138 = -2*y for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 11:46 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -4\/3*n**3 + 32*n**2 - 256*n + 13. Factor u(b).\nAnswer: -4*(b - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/8090 and -19\/20.\nAnswer: 16180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:32 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 - 8572633*o**4 - 12650568*o**2.\nAnswer: 120*o**2 - 205743192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 986006 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*m\/m**(-2\/55)*(m\/(m**(3\/11)*m))\/m*(m**(2\/17)\/m)\/m assuming m is positive.\nAnswer: m**(-1871\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/12 + 5*q**3\/6 + 16*q**2. Let c(t) = 2*t + 4. Determine -6*c(f) + 5*i(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8891 is divided by 88.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90989653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1403*k**2 + 109*k + 195*k + 86*k - 1402*k**2 in the form b + h*k**2 + w*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (45 + (-24 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:34 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbobhbbzckoc. What is prob of sequence zbbh?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-33 + 90) - -54?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*t = 621, -2*w - t = -241 - 7. What is the remainder when w is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a7b0b3 (base 12) to base 8\nAnswer: -25404707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580736 and 1742208?\nAnswer: 1742208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p - 3*p - 3*g, 5*p = -g - 34. What is the remainder when 71 is divided by (-2)\/p - (-750)\/21?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6701, -6672, -6631, -6572, -6489?\n\"Answer: a**3 + 22*a - 6724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (2 + 1)\/(-3). Let p(h) = h**3 + 11*h**2 + 10*h + 7. Let j be p(-10). Let q be 85\/7 - 1\/j. Solve -t*m = -2*m + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfdqsffqdfss. Give prob of sequence dqq.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14\/110245 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 14*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 153*a**2 + 154*a - 323. What is j(152)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12266 + -12265.6922. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/24*(10\/6 - 1). What is the third smallest value in 0.6, 0.06, 0, c?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -287*p + 440*p + 932*p + (0 - 1 + 0)*(-p + 3*p - p) + 0*p - 2*p + 3*p.\nAnswer: 1085*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/5 (c) 247486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:12 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*q, -4*s = 2*q + q - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23568*h**3 - 76*h**2 - h + 609 wrt h?\nAnswer: -141408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.1 (c) -3\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m + 3*o, 4 = -m + 3*o + 13. Suppose m*f + 1 = -8. Let r = 0 - f. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15125 - 30285 + 15160 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -1789.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * -855.\nAnswer: 316.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217082 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 8 + 10)*(2 - 2 + 6*o)*(1 + 2*o - 1)*((1 + 3 - 1)*(4*o - 3*o + 4*o) + 2 - o + 2*o - 3) to the form k*o**3 + t*o**2 + b*o + c and give k.\nAnswer: 2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 7482.\nAnswer: -1\/7482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15094 + 15498. Calculate the smallest common multiple of o and 1212.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -169152, -169138, -169086, -168972, -168772, -168462, -168018, -167416?\n\"Answer: 4*u**3 - 5*u**2 + u - 169152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202022222 (base 3) to base 13.\nAnswer: 12923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {u: 1, q: 4, x: 2, a: 2, p: 4, d: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907300217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 586*m**3 + 90*m**2 - 225*m - 419444529 wrt m?\nAnswer: 1758*m**2 + 180*m - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -7 (c) 1\/4 (d) 15 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746727.\nAnswer: 3, 248909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) -7 (c) -4 (d) 0.1 (e) 72\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70046 is divided by 3010.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -256\/21*v**4 + 4 - 8\/15*v**6 + 0*v - 1\/588*v**8 + 352\/105*v**5 + 7*v**2 + 512\/21*v**3 + 34\/735*v**7. What is q in s(q) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i - 1484. Let x(l) = -10*l - 3710. Determine -5*x(s) + 13*z(s).\nAnswer: -2*s - 742","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 + 2267\/9. What is the smallest value in z, 0.16, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64459, 257292, 578499, 1028080, 1606035, 2312364?\nAnswer: 3147067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 2, d: 11}. Give prob of picking 1 f, 1 t, and 1 d.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-4 + 18)) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/(-40)*(4 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/5 + 32866*g**2\/5 - 136440062*g\/5 + 11622839646\/5 = 0?\nAnswer: 87, 8173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from ebehbkekkb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - x**2 - 2*x + 4. Let u(n) = 6*n**3 + 2*n**2 + 6*n - 11. What is -11*d(v) - 4*u(v)?\nAnswer: -2*v**3 + 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 7. Let y(h) = 0*h**2 - h**2 - 1 + 2*h + x*h**2. Give y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*z + 315*z + 55524 = 637*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 72. Suppose -2*p + v + 592 = 0. Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6. Suppose 4*a - 26 = 6. Suppose 4*v - 12 = -2*q + v, a = -4*q + 2*v. What is w(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2744 - -7645. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(121)*5 - ((2*sqrt(121)*2 - sqrt(121)) + sqrt(121))))\/((sqrt(77) + 2*(sqrt(77) - -1*sqrt(77)) - sqrt(77))\/sqrt(7)*6).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 6. What is the remainder when 14 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 1. What is the third derivative of v(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 178*o - 7936. Calculate r(95).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 3*t + 4*t)*((2 + 2*t - 2)*(-2*t - t + 5*t) - 4*t**2 - 2*t**2 + 17*t**2) to the form m*t**2 + y*t**3 + r + f*t and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2659*v - 5*o + 27 = -2658*v, 0 = 3*v - 5*o - 61 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 3*c**2 - 22*c + 24. What is j(5)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 4*y**2 - 5*y + 2. Let r = -19482 - -19486. Let k(g) = -g**3 - g**2 + g. Calculate r*k(h) + d(h).\nAnswer: -2*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/2 - 2995*o**2 + 7978*o - 3988 = 0 for o.\nAnswer: 2\/3, 2, 1994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.60133?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {v: 2, h: 4, p: 1, l: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.49999821 + -18.5. Round q to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -141, -138, -135, -132?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 6*c + 12. Let w(g) = g**3 + 5*g**2 + 5. Suppose -4*a = 4*a + 40. Let n be w(a). Solve c*f - n = v - 0, -2*f = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 71*o**2 + 70*o + 193. What is the units digit of l(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920561 - 47539303?\nAnswer: -49459864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118770 is divided by 38574.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 6*r. Let x be ((-16)\/(-12)*r)\/((-1)\/3000). What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 826 + -824. Let y(w) = 62*w - 4. What is the remainder when y(g) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1063523625 and -238920?\nAnswer: 1063284705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 45 = 0. Let q(s) = s**2 + 5*s + 5. Let w be q(g). Suppose 0 = -k - 4*l + w, 4*l + 118 = 2*k + 12. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(72)\/sqrt(3))\/(((2*sqrt(96) + sqrt(96))*5)\/sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = i + 1, -i - 1 = s. Suppose 0 = p - 4*x + 6*x + 10, x + 4 = s. Calculate the common denominator of ((-3)\/p)\/((-60)\/238) and -1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 28 = -38. Let f = y + -18. Suppose -3*p + 17 - 5 = 0. Are f and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, h: 3, f: 3, x: 3}. Give prob of sequence mx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352204443 (base 6) to base 12.\nAnswer: 2239723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*x - v + 109, -3*x - v + 151 = 0. Suppose -4*m - 5 = -57. Let h be (m\/2)\/(6\/12). What is the highest common divisor of x and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5. Let i be (-2)\/10 + b\/(5\/(-26)). What is the third smallest value in i, 2, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -5, -74?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47871\/12 + 1\/(-7 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.56 and -4?\nAnswer: 18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*z - 74 + 47, 4*z = 4*w + 36 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 8*z**2 + 3*z + 1. Let i be r(6). Let w = -434 + 489. Let p = w + i. Solve p*t = -2*t - 4*q - 8, -4*t - 22 = -3*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8532 - -8544. Let d = 894 + -6. What is the lowest common multiple of d and v?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5569*o**3 - 62*o**2 - 67*o**2 - o + 131*o**2 + 3.\nAnswer: -5569*o**3 + 2*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 16 = 3*j. Solve 0 = s + 4, 2 + j = -h - 2*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 211954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 44*f**2\/7 + 76*f\/7 + 36\/7.\nAnswer: 4*(f + 1)**2*(f + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -175831 - -14?\nAnswer: -175818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 50052, 5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114813 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 2\/31 (b) 0.05 (c) -3 (d) 229 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 3*d. Let c(y) be the third derivative of y**5\/5 + 7*y**4\/12 + 6*y**2 - 4*y. Let v(q) = 6*c(q) - 28*k(q). Let o(t) = 4*t. What is v(o(i))?\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555344079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -64.5 (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8288 - 4645 = -1022*n - 9643 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358793547 - 0.24?\nAnswer: -1358793547.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 1. Let j be c(3). Factor -5*i**3 + j*i**3 - i**2 - i**4 + i**2 + 1 - 2*i.\nAnswer: -(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose 25 = c - 6*c, 0 = k*j - c - 25. Solve -3*r + j*w - 5 = 0, -w + 11 + 8 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 + o**2)*(-2*o**3 + 4*o**2 - 4*o**2) - 4*o**5 + 6*o**2 - 6*o**2 + (-o + 2*o**3 + o)*(-2*o**2 + 4*o - 4*o) + 27*o**5 + 23*o**5 - 44*o**5.\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 707 - -1868. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/4*1*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/4)\/g)\/g*g)**(14\/3)\/(g*((g\/(g\/((g**5*g)\/g*g)))\/g)\/g*((g\/(g\/((g\/((g\/(g*g*g\/(g**(4\/7)*g*g)))\/g))\/g))*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 36 = 2*f. Suppose -z = f - 44. Let n = z + 16. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -13\nAnswer: 79\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 7*v - 6. Let c be l(7). Let s = c + 10. Solve -17 = s*k - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25988\/1149 or 4?\nAnswer: 25988\/1149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*v - 4*d - 1, 0 = -v - 4*d + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2102?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*x. Which is bigger: x or -2\/45?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-120))\/((-1491)\/(-9585))*(-294)\/(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 0. Let b = 11 - g. Let j be 141\/5 - -6*b\/(-30). What is j rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + -1.9. Let j = -2.2 + p. Which is the smallest value? (a) j (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128.245 + 0.245. Let x = 127 + j. Which is the nearest to -0.1? (a) 4 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 249 - 214 = -3*c, -z + 4*c + 30 = 0. Calculate the lowest common multiple of z and 2738.\nAnswer: 13690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-14\/9)*x**(-21)\/x assuming x is positive.\nAnswer: x**(-212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 0 = 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 18*a**2 + 22. Let z be j(-18). Let f be -2 + 1 + (z - -1). Solve h - f = 4*r, 5*h + 3 = -5*r - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924177641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -46 + 73 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-4))\/(87\/4814)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.29.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72125707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -723132 and 26.\nAnswer: -18801432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -56 - 624. Let p = a + -675. Solve 3*g - 13 = -p*n, 3*n + 5*g - 7 = 4*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19*q*q*q**(-34) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -439 - -439. What is the smallest value in g, -7, 1\/7, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 22149144?\nAnswer: 908114904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/103 in 2\/23, 0.085, -3, -0.5, -1\/3?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*a**3*r - 23*a**3 + 3*a*r with respect to r.\nAnswer: 18*a**3 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92565 - 74*c + 92565)*(3*c + 2*c - 10*c).\nAnswer: 370*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -24.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28362 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + x = 4*h + 12, -h = 5*x + 24. Let v = -4 - -3. Which is the closest to v? (a) h (b) -3\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(((-903)\/18)\/(-43)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l + 5. Let v(f) be the third derivative of 5*f**4\/24 - f**3 + 5*f**2. Let w(p) = 6*v(p) + 7*x(p). What is the tens digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 18, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 10*g + 5*d - 21 = 0, -4*d + 6 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.1. Let m = -11062 - -11061.8. Which is the closest to m? (a) 0.1 (b) q (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in 2, -5, 1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 550406 = -1952. Let x = -18118 - i. What is x rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 13*j**2 + 5*j - 9. Let m be f(-7). Suppose 0 = m*d - 251*d + 306. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -5 + 6 + 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027978?\nAnswer: 2, 3, 149, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(605) + 0 + 1 + sqrt(5) + sqrt(5) + (2 + sqrt(605))**2.\nAnswer: 57*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488 and 8618.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d - 7. Let r be p(7). Suppose 3*v + 0*k - 2*k - 47 = 0, 4*k + r = 5*v. Let o be ((-21)\/9 + 3)*3. Solve 5*s + v = o*f + 7, 5*s + 5 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 36817344.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21498 + -21350. Solve 76 = 12*o + n for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 2 - (-23 + 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71579.4? (a) -1 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d + 0*d)*(2*d + 5*d - 5*d) + (-d + 23*d + 6*d)*(-2*d + 0*d + 0*d).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2230*u + 682 = -2199*u. Let f = -6.4 + 6. Sort -2, u, -0.5, f.\nAnswer: -2, -0.5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 8*n**2 - 2*n + 9. Let i be j(8). Let q = i + 7. Suppose -t + 15 = -q*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61436 is divided by 6310.\nAnswer: 4646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**3 - 30*j*v**2 + 843*v**2 wrt j.\nAnswer: 15*j**2 - 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-20)\/12)*-3. Let x be (-29)\/k - 4\/90*-5. Let c(z) = -z - 4. Let r be c(-9). Put r, x, 3 in increasing order.\nAnswer: x, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5880 and 39900.\nAnswer: 558600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -10220549.\nAnswer: 122646588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, u: 1, d: 1, z: 1}. What is prob of sequence zu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - 13223 + 8*k + 0*k**4 + 13226 + k**4 to g*k + d*k**2 + h + c*k**4 + q*k**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(1\/3))\/f))**21)**(33\/7)*(f\/f**0)**(-33)\/(f**0\/(f*f\/f**(2\/9))) assuming f is positive.\nAnswer: f**(313\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -2\/3, -148, 25, 2\/3, -0.01?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 7. Let r be m(9). Suppose -2*n + 2*v + 22 = 0, -3*v = 3*n + r*v - 65. Calculate the remainder when 27 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379.996 decades in months?\nAnswer: 645599.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/40 + 1\/(-2). Let k = 5293 + -5292.1. Sort i, k, 0.8, 5.\nAnswer: i, 0.8, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496247383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*t**2*u - 4*m**3*u**3 + 2*m**2*t**2 - 2*m**2*t*u**3 - 2*m**2*t*u - t**2*u**3 wrt t?\nAnswer: 4*m**3*u + 4*m**2 - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and 0.058?\nAnswer: 0.1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 21*g**2 - 11*g + 14. Let h be (((-15)\/2)\/(-3))\/((-7)\/42). What is the least common multiple of q(10) and 1 - (h\/5 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f - 12 + 54 + 3*f - 17 - 11. Calculate j(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - z)*(-3*z + 3*z - z**3) + (6*z**3 - z**3 + 5*z**3)*(-4*z + z + 5*z).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5160 divided by -5.\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 2*p + 21 - 7 = -89*b, 0 = 3*b - 7*p - 49 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 2553 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108376442*x**4 + 3*x**2 + 17362972*x?\nAnswer: 2601034608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208.14 tonnes in micrograms?\nAnswer: 2208140000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - ((sqrt(143)*-2*6 - sqrt(143)) + sqrt(143) + sqrt(143)))\/(-2*sqrt(539)))**2.\nAnswer: 468\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + sqrt(5) + -1 + (sqrt(110)\/sqrt(2) - sqrt(55))\/sqrt(11) - 3*(sqrt(125)*-2*5)**2)*-2.\nAnswer: -4*sqrt(5) + 75006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4425*c*m**2 + 40*c*m*w**2 + 2*m**2*w**2 - 139*m**2 - 5*w**2 + 18*w wrt c.\nAnswer: -4425*m**2 + 40*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -866667*k + 2. Suppose o = -0 - 1, 0 = -3*d + o + 19. Let v be a(d). Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 4, y: 2}. Give prob of picking 1 y and 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -165, 4 in ascending order.\nAnswer: -165, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 - 11*h**2 - 8. Let v(d) = -4*d**3 + 10*d**2 - d + 8. Let o(a) = -5*j(a) - 6*v(a). Let y(g) = -2*g - 2. Let n be y(2). Give o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*w**2 - w + 39 - 6*w**2 - 4*w**2 + 4*w**2 wrt w.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 19*v - 38. Let a be n(7). Suppose -u + 38 - a = 0. Let c(h) = h**2 - 1. Let j be c(-4). Is u at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312.012 nanometers in kilometers?\nAnswer: 0.000000002312012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -802983 divided by 4?\nAnswer: -802983\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010534 (base 8) in base 7?\nAnswer: -11644013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 10. Suppose -2744 - 5756 = -d*k. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - ((-27 - -47) + -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 11\/12*y**4 + 1\/3*y**3 + 0 + 0*y**2 - 19*y. What is the units digit of x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2631*c = -299*c - 205216 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -45*t - 372. What is i(-5)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505885, -1011765, -1517643, -2023519, -2529393?\nAnswer: -3035265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -26 - 7. Let b(j) be the second derivative of -h*j + 0 + 5*j**2 - 2\/3*j**3. Differentiate b(q) with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 212, 348, 502, 674, 864?\n\"Answer: 9*y**2 + 91*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*g**2 + 352*g**2 - 121*g**2 - 108*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/45)\/((-4)\/(-30)). Let l be s\/(-18)*(-3)\/8. Suppose -5*v = 4*w - 0*w - 1, -2*v = -2. Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.09 (b) -5 (c) 56 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 19. What is the second biggest value in l, -14, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -9, -52*v = 5*q - 51*v - 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4))\/sqrt(5)*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894 = 16*n - 2350. What is the remainder when n is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -342 - -570. What is the greatest common factor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 127 - 963. Suppose 0 = -4*x + 12, 0*x - r = k - 2*x. Let u = 144 + k. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 greater than 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, r: 1, e: 1}. What is prob of sequence eu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**1*g)\/g)**(-10\/11))**(-2\/143) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*j*v**3 - 210*g*j*z + 2*g*v**3 + 3*g*v*z - 10*v**3*z wrt j?\nAnswer: g*v**3 - 210*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -35*p. Let f(l) = -35*l. Determine 7*f(i) - 6*r(i).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.003 or -2809?\nAnswer: -2809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 2*c**2 + 368*c - 8. What is x(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x + 12. Find p such that -2*p**5 - 6*p + 3 + 8*p**x - 4*p**2 + 3 - 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a, -4*a = 3*v - 9. Let h(i) = 2*i - 4. Let f be h(v). Solve 3*b - 19 = -f*b - c, 0 = 4*b - c - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a**2 - 2*a + 1. Let l = -21 - -22. Let o be x(l). Let m be -18*((-70)\/(-4))\/(-5). What is the greatest common factor of m and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 163647 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 + 6*i + 3. Calculate the remainder when 19 is divided by w(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5781073 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*u + 50352, 0 = 5*j - 3*u - u + 251712. Let g = j + 27418. Let y = -157074 + g. Round y to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + k + 64, 2*k + 311 = a + 4*a. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129116720 to the nearest integer?\nAnswer: 11363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 64 + -128 + (19 - -1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2017bd00 - -5?\nAnswer: 2017bd05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**2 - 87*u - 94. What are the prime factors of x(23)?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0457332ml in litres?\nAnswer: 0.0000457332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313778, -313780, -313782, -313784?\nAnswer: -313786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-534*j - 560*j + 1094*j - 1830*j**2 - 3797*j**2)*(0 + 0 - 2*j) + 2*j + 4*j**3 - 2*j to the form u + n*j**2 + x*j**3 + a*j and give x.\nAnswer: 11258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927 is divided by 159?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000371845 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0*9\/(-351)*-13)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1358315 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/126 - (-1188)\/(-8568)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, 0, 21, 5 in ascending order.\nAnswer: 0, 3, 5, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**3 - 1459*q + 304 wrt q.\nAnswer: -3*q**2 - 1459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7675 - -11797. Calculate the greatest common divisor of 54 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147444, -147447, -147450?\nAnswer: -147453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 - 4*w**2 - 1151 + 1151 + 8*w**2 + 4*w as x*w + o + i*w**3 + n*w**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -4 - 4\/3*x**3 + 0*x + 1\/2*x**2. Suppose -5*i = 7*y - 3*y - 19, 2*y + 5*i = 17. Calculate w(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781690571.\nAnswer: 19, 41141609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0864 and 4.\nAnswer: -0.3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/18 - 13*b**5\/120 + 6*b**3 + 3. Let g(o) be the third derivative of u(o). Find the second derivative of g(z) wrt z.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**2*t**2 - 272*c**2 - 3*t**2 wrt t.\nAnswer: -12*c**2*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 - 181. Is (-6522)\/r*(0 - 4\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2306*h**2 + 4*h + 12. Let t be g(6). Find the common denominator of -59\/2 and t\/14085 - -2*3.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -746, -1110, -1456, -1778, -2070, -2326?\nAnswer: -2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 6. Let s(p) = 333*p**2 - 48*p - 6. Let r(j) = -k(j) - s(j). What is the second derivative of r(i) wrt i?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 13*t - 1 - 3 to f*t + k and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 22, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v**(-2\/11)*(v**(-1))**(3\/22)*((v*v**0)\/(v**6\/v))\/(v*v**(-1\/8)*v\/(v**(-1\/4)*v)) assuming v is positive.\nAnswer: v**(-567\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 3, f: 4, z: 2, n: 1, g: 1}. What is prob of sequence fnf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/14))\/(20496\/192).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5 + z**2 - z**2 + 5*z + 2*z**2. Let c be u(-6). Let p be c*2\/(4\/2). Let h(k) = -k + 1. Give h(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = k + 4*h, 5*h - 22 = -k. Let r = k - -7. Suppose -2*g = -r - 54. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 6) in base 15?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*a**3*x**2 - 27928*a**2*x**2 - 1643*a*x**2 - a - 4*x**2 - 2*x - 1 wrt a?\nAnswer: 108*a*x**2 - 55856*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40101 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -446, -894, -1342?\n\"Answer: -448*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2\/5)\/(-1) - 544\/(-10) and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*z - z = -21, 2*z + 13 = -3*q. Let l(n) = -n + 1. Let s be l(-3). Let m be (q - s)*(-4)\/10. Are 3 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/111945 and -23\/4390.\nAnswer: 223890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.2 - 33.7. Let x = c + 26.5000179. What is x rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.468 and -2.\nAnswer: 0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 + 5 = 0, 4*o = 3*z + 55. Suppose 0 = 12*u - o*u + 4540. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**2 - 49*y - 11*y**3 + 8*y**3 - y**2.\nAnswer: -3*y**3 - 22*y**2 - 49*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/70*685190\/(-37374)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153305 + 125?\nAnswer: -153140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14705754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14990327.\nAnswer: 11, 123887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 57*d**3 - d**2 + 57*d.\nAnswer: d*(d - 57)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9655520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*p - 123, 2*p + 1 + 3 = 0. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 - 10*k - 8. Let i be v(-8). Suppose 78 = -i*m + 14*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.3301ng to milligrams.\nAnswer: 0.0000553301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 + -16 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-60)*5*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 37 + (-5 - (13 - (1 - -7)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2\/3 + 12808*o\/3 - 10252804\/3 = 0.\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78292?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/150*10\/(-1). Factor -8\/3 - 4*g + 0*g**2 + p*g**3.\nAnswer: 4*(g - 2)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 882 and 6678.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*a**3*i*p**3 - 2*a**3*i*p**2 - 3*a**3*p - 2*a**2*i - 7*a**2*p**2 wrt p?\nAnswer: -1248*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608 - 840 - 844 = -38*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -10, -100, -290, -616, -1114, -1820, -2770?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*t - 20, -p + 7 - 3 = -5*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96529 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.4, 7.3, 1\/3, 0?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and -5?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 5 + 5)*(m - 2*m + 4*m).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4004097 (base 11) to base 4.\nAnswer: -123003113122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8056.49 + 7119. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32896 - 9487392515\nAnswer: -9487425411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 2*i + 2. Let w(a) = -6*a**2 + 27*a**2 - 7*a - 2 - 5. Let m(f) = -7*v(f) - 2*w(f). Let u(r) = r. Calculate u(m(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(175).\nAnswer: 5 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h)**(-7\/6) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b - 5. Let r be c(-1). Let u(k) = -1. Let x(a) = 6*a**2 + 10. Let d(z) = r*u(z) + x(z). Let m(h) = -3*h**2 - 3. Give -3*d(g) - 5*m(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 27. Let v(d) = -d**2 + 8*d - 9. Let i be v(6). Suppose -2*x = s + i, -15 = -2*s + x + 2*x. Solve -m = -s*t + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - 94 - 47 - (6 + -2 - -13)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001010011 (base 2) in base 5?\nAnswer: -140330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -1603\/5744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -69 times -0.2\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 20*w**2 - 9*w + 9. What is the units digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97391665.\nAnswer: 5, 7, 397517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 12*y - 8. Give m(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198461151 to the nearest integer?\nAnswer: 14088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 2 + 2)*(5*n + 0*n - 4*n) + 38 + 4 + 1162*n**2 - 42 in the form w*n**2 + b*n + i and give w.\nAnswer: 1159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6? (a) 26 (b) -0.2 (c) -0.001 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 + -158824?\nAnswer: -158767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555603\/20 - -27774. What is the common denominator of p and -59\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 14 = -4*k, 7*k = 170*b - 179*b - 34 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-10))\/(((-160)\/120)\/((-10)\/(-3))). Let r = 38.05 + -40. Let n = -0.05 + r. What is the third smallest value in t, n, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2 + sqrt(252) + -4)**2 - ((1 + sqrt(7) - sqrt(7))*-6 + (sqrt(315)\/sqrt(5))**2)).\nAnswer: -72*sqrt(7) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, -0.01, -2\/13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -64*j + 25. Let t(k) = 33*k - 12. Let w(s) = -2*n(s) - 5*t(s). Let a be w(1). Is -26 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 2, y: 6}. Give prob of sequence jpp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112*1\/(-12)*2*-3. Let a = 54 - n. List the prime factors of (-110)\/a + 3\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v - 8997 - 3072 = -450*v - 2895 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/60 - ((-8)\/(-48) + 0))*-29185 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022 divided by 47?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 44 = 16. Calculate the highest common divisor of z and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let g(r) = -3*r - 4. Let w(u) = g(u) - 4*x(u). Let a be (-1*4)\/(-4 + (9 - 4)). Determine w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:47 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014032691 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 0.5, 3\/7, -12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 11*w**2 - 14*w**2 + 3*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270990425 and 2060?\nAnswer: 1083961700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337 (base 16) to base 3.\nAnswer: 1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1021616 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-25)*(-45)\/24)\/(153\/68)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62339903 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*y + h, -y + 8*h - 16 = 3*h. Suppose 7*q = 4*q - y. Let f(r) = 4*r. Calculate f(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 431 + -423. Calculate the remainder when 126 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(132)*-3)\/(-2*(sqrt(588)*-1 - sqrt(588))).\nAnswer: 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 113*f**7\/70 + 1334*f**5\/15 + 19*f**2 - 39. Find the third derivative of t(l) wrt l.\nAnswer: 8136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2274*t - 281898. Calculate z(124).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 4*z - 50764 = 27*m, -5*m = 5*z - 84595. What is m rounded to the nearest 100?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268 + (-26 - 88) - 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 6. Let q be o(-9). Suppose 9*g - 3 = q. Find the third derivative of -g*y**2 - 3*y**2 - 14*y**5 + 44*y**5 wrt y.\nAnswer: 1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 2 + 2 + 1 + (-2*l + l + 2*l)*(-2*l + 22 - 22) in the form k*l**2 + v + c*l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/7)*s*s)**28*s*s\/(s*(s**(-3\/5)*s)\/s)*s*s**(-3\/10) assuming s is positive.\nAnswer: s**(743\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72550, -72257, -71786, -71137, -70310?\nAnswer: -69305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 46. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(6\/19)\/a))**(-31\/3) assuming a is positive.\nAnswer: a**(-992\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -52, 3, -1, -2, -6.\nAnswer: -183, -52, -6, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdddtw. What is prob of sequence dt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 182 (b) 4 (c) -0.1 (d) -0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2. Let p = -146 - -159. Let i(g) = -p*g + 11*g + 2*g - 14*g**2. Determine h(i(l)).\nAnswer: 784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*x. Suppose -6*a + 12 = -x*a. Suppose a*k = -2*k + 125. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p. Let g(l) = -2*l + l + p*l. Let y(b) be the third derivative of -13*b**5\/60 + 4001*b**2. Give y(g(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 16. Suppose -r + 4*j - 38 = 2*r, 2*j - 16 = r. Let l be a(r). Solve 0 = -s + l*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363973 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 22*c - 3*s = -24, -s = -3*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**3 + 2*k**2 - 5*k + 4. Let a(s) = -2*s**2 + 2*s**2 - 9*s + s**2 + 3*s**2 + 7 + 8*s**3. Calculate 4*a(j) - 7*b(j).\nAnswer: 4*j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 54.7. Which is bigger: t or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(-122)*-1*4\/(-1)*(-46)\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -201?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35711 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.95 + -0.05. Let m = -0.9 + h. Suppose 2*q - 5 = q. Which is bigger: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in -12380, -2, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w**2 + 2*w - 7. Let o(h) = 11*h + 9. Let j(k) = 20*k + 17. Let p(y) = -6*j(y) + 11*o(y). Let t(n) = -2*p(n) + x(n). What is t(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6, -18*v + 18 = 2*t - 14*v. Suppose -4*u = -6*u - 4. Let z be 19\/4 - (-2)\/8. Sort z, u, t in decreasing order.\nAnswer: z, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*g + 14 + 2, 8 = 2*p - g. What is the second derivative of 8*w**2 - 39*w**2 - 50*w + 56*w**p + 31*w**2 wrt w?\nAnswer: 672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 94 - 23 = -3*u, 3*u = -5*t + 115. Let g be 12\/(-18)*183\/(-2). Let z = g - u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**2 - 295*x - 66. Let n be k(33). Solve n = -543*q + 538*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104467109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5892171, -5892170, -5892167, -5892162, -5892155?\n\"Answer: t**2 - 2*t - 5892170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 2\/7, 117311?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 27*w**2 - 55*w - 83. Let a be g(29). Suppose 0 = 3*b - h - 43203, a*b + h = 87556 - 29959. What is b rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**3 + k**3 - 18*k**3)*((-3 + 0 - 1)*(k - 6*k + 3*k + (2*k - 3*k + 3*k)*(2 + 0 + 1)) + 4*k - 4*k - 3*k).\nAnswer: 475*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let i = -2 - l. Which is the smallest value? (a) -1 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61515*v**2*w**3 - 104*v*w**3 + 2*v*w**2 + 10*w**3 wrt v?\nAnswer: -123030*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 174, 393, 700, 1095?\n\"Answer: 44*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) -5\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 8*d**2 + 10*d + 14. Let x be g(6). Solve 10 = 3*z - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let v be (-3)\/5 + 3\/5. Suppose -4*g + v = 16. Determine n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 0.5, -5, 2, -110\/7?\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 557 - 253. Let s = -365.5 + m. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/8*1 - 3. What is the second smallest value in -3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/26745485 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/20 + -1\/5. What is the closest to 0 in 1, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -3bd8b?\nAnswer: 3bd74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710468401 a multiple of 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p = -27*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 28*m**2 - 4*m - 2. Let v be o(-1). What is the units digit of (-4)\/(-10) - (-108)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38030*n + 11*n**2 + 11*n**5 - 13*n**2 + 22*n**2 + 31*n**2 - 38033*n - 40*n**4 wrt n?\nAnswer: 660*n**2 - 960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-990)\/(-2310)*(-21)\/(-5))\/(5256\/120).\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165.6 + -6.6. Let i = -74 + z. Let c = i - 85.000069. Round c to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*r**2 + 544100*r + 24732.\nAnswer: -4*(r - 6183)*(22*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11.00006. What is k rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11543 - 11543.39016. Round v to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -118.\nAnswer: -40\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150993613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7374 = -2*f, -f - 10*g = -13*g - 3695. Let r = f + -790. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i. Let f = -8 - -10. Let y(k) = 164*k - 164*k - 2*k**f. What is g(y(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*(sqrt(119) - 2*sqrt(119))*6)\/(6*sqrt(448) - sqrt(448) - ((sqrt(84)*3)\/sqrt(12) + sqrt(7))))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -188, 1, -3, 0, -50?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2 in descending order.\nAnswer: 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1 - 2) + -7. Let x = 12 + h. Solve -5*t + 4*f = -2*t + 17, 5*f = x*t + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5426 + 42?\nAnswer: -5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1544 times -12.21\nAnswer: 1.885224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z**2. What are the prime factors of p(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 917\/6 - 6359\/42. Factor -y*v - 2\/7*v**3 - 4\/7 - 8\/7*v**2.\nAnswer: -2*(v + 1)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048 a factor of 2101934937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3623 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4154695342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*t - 238*t + 1670. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 137*g**2 - 299*g - 90. What is the units digit of j(-66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 1, u: 1, x: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-35)*(4805\/(-62))\/(-31).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 751*p**4\/4 + 108*p**2 + 1224. What is the second derivative of z(a) wrt a?\nAnswer: 4506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27245077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895054 + 1791933 - 896879 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242)\/44*(-480)\/2200.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21332593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 246, 234, 214, 186, 150?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 42. Let y(b) = b**2 + 14*b + 36. Let f be y(k). Does 7 divide (63\/12)\/(f\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2308051\nAnswer: -10\/2308051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1538381*r - 3*r**2 - 5 - 1538381*r.\nAnswer: -3*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1199004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1296 and 0.0206.\nAnswer: 0.1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10875.6986 rounded to the nearest 10?\nAnswer: -10880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001656385 to 6 dps.\nAnswer: 0.001656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140143214 (base 5) to base 6.\nAnswer: -23111132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 6, 2, 3, 9.\nAnswer: 2, 3, 6, 9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1945\/11 - 177. Which is the closest to g? (a) -0.4 (b) 0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*v = 3*v + 8928. Suppose 0 = u - 3*f - 66, 21*f - v = -2*u + 23*f. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271 and 438207?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.3453.\nAnswer: -3.3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 34. Let b(x) = -8*x - 2. Suppose 0*p + 25 = -3*l + p, -2*l - 2*p = 6. What is the remainder when b(l) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12358189 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 31 - 32 - h**2 - 28 + 88 + 2*h**3. Is 19 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 3\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 4*t = -0*m + m. Factor 0 + t*w**3 + 0*w - 2\/7*w**4 + 2\/7*w**2.\nAnswer: -2*w**2*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 4. Suppose -5*a - 279 = -n*d, 4*d = 2*a + 3*d + 111. Let t be (-40)\/(-22) - 10\/a. Solve -13 = 2*v + 3*h + 2, 3*v + t*h + 10 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 7*d + 1. Let o be a(-6). Suppose 8 + o = q - 5*m, 3*m = -9. Let p(g) = -g + 16. Is 6 a factor of p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (2 + -37 - (-8 + -7))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 e, and 1 p when four letters picked without replacement from vepvvpvepv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -19. Let p be 279\/5 - (-6)\/30. What is the greatest common divisor of o and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9653305.3 and -11.377.\nAnswer: 9653293.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1424*i - 5. Let n(f) = -711*f + 3. Calculate 3*d(t) + 5*n(t).\nAnswer: 717*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**3. Does 10 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -11?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000010101 (base 2) in base 3?\nAnswer: 11020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 1, y: 8, d: 3, t: 2, v: 1, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let w(o) = 4*o + 16. Suppose 125 = 5*s - 5*p, -15 = -4*p + p. Let c = s + -29. What is c*w(f) + 16*q(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 477?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.17 (b) 1 (c) 2949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116534921 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.83 + -0.07. Which is the closest to j? (a) -1 (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4 + 9.3. Let c = -1 + 0.6. What is the nearest to -2\/3 in -1, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 92. Suppose b + 3 - z = -h, -2*b + 23 = h. 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 greatest common factor of 388 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*c. Let u(b) = -b**2 + 5*b + 26. Let o be u(8). Suppose o*l + 40 = 6*l. Solve -c*n = 2*d - 4, -4*d - n - l = -2*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcy when three letters picked without replacement from chychl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 4. Let l be h(-6). Let w be (4\/(-7))\/(l\/14). Differentiate -2 - 24*k**4 + 12*k**w - 3 wrt k.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169 + 169 + 31*k**2 + (2*k - 2*k - 2*k)*(-5*k + 3*k + 3*k).\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - m + 6469 = 17185, f - m = 3570. What are the prime factors of f?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10801866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 98 - 22 = -3*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 6*u + 4. Let l be f(-5). Suppose 0 = -5*b + l + 11. Suppose -3*r + 0*r + 21 = -3*c, -b = c - 4*r. Put 3, c, 1 in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 85 = u - 5*a, a = 5*u - 503. Calculate the greatest common factor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -7?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**2\/t)\/t)\/(t\/(t*t**(-3\/5)*t)))\/(t\/t**(-2)*(t**(4\/9)*t)\/t) assuming t is positive.\nAnswer: t**(-92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139.197 + 0.197. Let m = y - -138.99. What is the closest to 3 in -1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 28 = 0. Let l(t) = -t**2 - 12*t - 11. Let k be l(-10). Let w = x - k. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55861 in -1\/3, 1\/5, 2\/11, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698083, -698145, -698209, -698275, -698343, -698413, -698485?\nAnswer: -698559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Solve -3*h + 4*h + 3 = a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8119 is divided by 138?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148065 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 136055 divided by -27211\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -170, -280, -496, -854, -1390, -2140?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h + 2*h - 2*h + (0 + 3 - 2)*(0 + 0 - h) - 1 + 1 - h)*(0*h + 0*h + 2*h**3) in the form y*h + l + m*h**4 + o*h**2 + z*h**3 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392111 is divided by 168.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172105, 172085, 172099, 172165, 172301, 172525, 172855?\nAnswer: 173309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 17.3. Let h = -16.0017 - v. Round h to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010289009 to seven decimal places.\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h**4\/2 - 71*h**3 - 27*h**2\/2 + 71*h - 4 = 0. Calculate h.\nAnswer: -1, 2\/35, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/15 of a decade?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:03 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13560, 13320, 12920, 12360, 11640, 10760?\nAnswer: 9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -106*o + 2779. Calculate f(26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84165 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 6\/(-15))*5. Suppose 2*m + x = 7*m - 39, -y*m = -5*x - 41. Calculate the remainder when m is divided by (-5)\/2*12\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 19*l + 5. Let j(b) = 9*b + 2. Give 5*j(r) - 2*q(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbqmgemeqml. What is prob of sequence qq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 1449.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4 - 4) + (1993 - 1954).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 - 118. Let r = w - -799. What are the prime factors of r?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2932213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2588 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-27) + 4 - 4. Let f = 131\/72 - z. Let s = 0.642 + -0.642. Which is the biggest value? (a) 5 (b) s (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 4\/((-24)\/38). Let f be h\/24 - (33\/12 + -1). Sort f, 5, -5, -1.\nAnswer: -5, f, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:44 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 48 = -5*l. What is the smallest common multiple of l and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.1, 0, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsqsqssssq. What is prob of picking 1 s and 3 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*r + 18 = 0. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 642276692250.\nAnswer: 642276692250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -2)*(1 + 8252\/12). Let p be w\/(-18) - (-2)\/9. Let r = -41 + p. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -16. Let l(r) = r**3 - 7*r + 3. Let w be l(-3). Let k be w\/((-1)\/(o\/99)). Which is the second biggest value? (a) 2\/15 (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 10. Let l(u) = -16*u - 30. Let h(s) = 2*l(s) - 7*p(s). What is h(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -40*i**2 - 30*i. Let w(l) = -11*l**2 - 9*l. Let j(f) = -30*w(f) + 9*y(f). Let o(t) = -2*t - 24. Determine o(j(d)).\nAnswer: 60*d**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -92. Suppose 119 = -5*p + 1279. Let k = p - 1621\/7. What is the third biggest value in q, 6, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 3*y + 7. Let h be w(5). Suppose 2*s = -3*i + 2*i - 6, 5*s + 15 = 0. Let c = i - h. Solve o + 0*o = -c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467385 is divided by 233602.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050318 is divided by 200?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -219 + -4?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.59\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1444*m + 1439*m + 105. Let g(q) = 31*q + 14. Let b be g(7). What is the highest common divisor of m and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -119 and 5473.164211.\nAnswer: 5354.164211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/245 + 101*w**6\/56 - 1521*w**5\/5 + 21546*w**4 - 42336*w**3 + w**2 + 5*w. Factor o(u).\nAnswer: -3*(u - 84)**3*(2*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - 1) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420188?\nAnswer: 2, 17, 35591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -22*a - 78 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q**2 + 24. Let v(h) = -5*h**2 - 8. Determine -4*a(k) - 11*v(k).\nAnswer: -k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1627*l*n*p + 211968*l*n + 2*l*p - 10*n*p wrt p.\nAnswer: -1627*l*n + 2*l - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -1107. Let z be (-3)\/(-2) - d\/16. Let i = -44 - z. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68458899 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -26.25119\nAnswer: -21.000952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002416392 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(14) + sqrt(14)*-1)*5 - sqrt(56)\/sqrt(4)*2))\/(sqrt(8)*-2 + sqrt(2) + (sqrt(50) + sqrt(50)*-3 - sqrt(50))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 50 = 5*h, 3*h - 3*j + 12 + 21 = 0. Suppose -u + 14 = 2*u + 4*r, -4*r + 20 = 0. Let t = u - -3. Sort -1\/3, h, t in increasing order.\nAnswer: h, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41266, 53056, 64846, 76636, 88426?\n\"Answer: 11790*t + 29476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**4\/n)\/n**(2\/13))\/(n*n\/n**1)**34)\/(((n\/(n*(n**(-5\/2)\/n)\/n*n*n))\/(n\/n**(-5)*n))\/((n*n*n*n**(6\/7))\/n**2)) assuming n is positive.\nAnswer: n**(-4331\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-4 - -4)\/(-5) + 2398. Suppose 0 = -4*a + 13*a - i. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -2\/57 (c) 1\/14 (d) 1043\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rblbgbjblyrgbrrbbrbr. What is prob of picking 1 b and 1 j?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004344 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**3 + 9*j**2 + 3*j + 11. Let m(x) = -4*x**2 - 6*x**3 + 3*x**2 + 5*x**3 + 1 - 2. Let s(r) = 18*m(r) + 2*q(r). Factor s(t).\nAnswer: -2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/7)\/30 + -1*3?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160*q - 2237*q - 3357 - 4099 = 6132. Let j be (-3)\/1*4\/6. Put q, j, 5, -1 in ascending order.\nAnswer: q, j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115, -69, -25, 17, 57?\n\"Answer: -z**2 + 49*z - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -3, -75, -223, -471, -843, -1363, -2055?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0196 - -1.0196. What is the closest to -6\/13 in -2\/5, n, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2\/5 + 12*u - 56\/5 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -189 and 0.072.\nAnswer: -188.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/11 - (-124)\/44. Suppose -3*c = 5*u - 109, -3*c + g*u - 117 = -6*c. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 = 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d. Let w(f) = 4*f**2 - 5 + 2 + 3. Calculate v(w(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 60. Suppose 2*z = -2*z + a. Suppose -x + z = -2. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/25, -5, 16706, 1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 26*i + 14. Is 16 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7018584 and 5664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/(((-1)\/1)\/3). Let b = 652 - 647. Sort u, b, -12, -3 in decreasing order.\nAnswer: b, u, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-370)\/(-8))\/(7805\/6244).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let n = 2.27 + -1.27. Let s = -0.298 + -2.702. Sort n, s, 0, l.\nAnswer: s, 0, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 12) to base 3\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -2152, -82, 0.08, -3?\nAnswer: -2152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*n + 46420 = -1208. Calculate the highest common divisor of 8673 and n.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3 = -2*f + 1, 5*g + f - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/4, 1, -960?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144.0000041 - -144. What is w rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13360.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 - 433\/3. Let q = 2 + -2.5. Let k = 2 + -5. What is the closest to f in 4, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 0.1, -21 in increasing order.\nAnswer: -74, -21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6699 and 75864.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(168) - (-4*sqrt(168) + sqrt(168) - sqrt(168) - sqrt(168)) - sqrt(168))\/sqrt(6))\/((1*sqrt(144) - sqrt(4)) + sqrt(4)) + 4.\nAnswer: -2*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**4 + 270*j - 270*j + 2 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2) + -99 + 104\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + 2*o**2)*(3 - 3 + 7*o) - 3*o**3 - o + o.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 + w**2)*(-319 - 21*w**2 + 319).\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2374368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/18083 and 44\/45.\nAnswer: 813735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28626 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15.79553 * -0.1\nAnswer: 1.579553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(65 + 172 + 150)*(-7*j**4 + j**4 - 3*j**4).\nAnswer: 3483*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)**36)**(3\/31) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26593111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-9)\/42 + (5 - 1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33670*q**3*x - 36939*q**3 wrt x?\nAnswer: -33670*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-342)\/(-42))\/19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4 + 8. Let h(v) = -v**3 + v**2 + v + 3. Let l be h(0). What is the second derivative of 2*r**4 - l*r**j - r - r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 67 - (2 + (-12 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -195 - -2085023\nAnswer: 2084828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3\/10, -1\/17, -2\/7, 61486?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 27.\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 44 = -5*z, -q + 5*q + 2*z = 176. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let p(x) = 51*x**2 + 5. Calculate n(p(q)).\nAnswer: 2601*q**4 + 510*q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/24 - i**5\/4 + 5*i**4\/8 - 5*i**3\/6 - 2*i**2. Factor p(q).\nAnswer: 5*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 289\nAnswer: -115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 1, n: 3, t: 3, q: 3}. Give prob of picking 1 q and 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 - 10*a**2 - 12*a = 0 for a.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a**3 + 0 + 18*a**2 - 2 - 13*a**2.\nAnswer: -27*a**3 + 5*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 11, 64, 169, 344?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 4946.\nAnswer: 4945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 18. Let u(m) = 2*m + 45. Let d(f) = 2*u(f) + 5*x(f). Suppose -6 - 2 = 4*g. Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-30)*3 + -5)*(-47 + 10).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -2*z = -b - 7, b = -0*b - z + 2. Suppose -3*s - 4*v - 2 = 0, 0*s + 5*v + 14 = 2*s. What is the closest to b in s, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0985 * 1.\nAnswer: -3.0985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4141 + -2470. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 7*r**2 + 10. Calculate the lowest common multiple of v(-7) and -11 - (6 + -12) - (0 + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-37)\/((o\/o**(4\/3))\/((o*(o*o**(-18)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*d + 6. Put d, -1, 4 in decreasing order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0 + 0*x**3 + 1\/480*x**5 - 6*x**2 + 0*x + 1\/96*x**4 - 1\/320*x**6. Factor c(w).\nAnswer: -w*(w - 1)*(3*w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose k - 18 = 4*p, -14 = -y*k + k + 2*p. Solve -k*l - 2 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113991 rounded to the nearest 10000?\nAnswer: 11110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94724430 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6873*x**2 + 13. Let p(u) = -4*u. Give y(p(l)).\nAnswer: 109968*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r - 12. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 190*a - 3 - 216*a + 3. Let d(f) be the first derivative of 2*f**3\/3 + 214. Determine d(b(t)).\nAnswer: 1352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3681.94886 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/17)*d\/d**17)\/((d*d\/((d\/(d*(d\/(d\/((d\/(d*d\/(d\/d**(-1\/10))))\/d)))\/d*d))\/d))\/(d*d\/(d*(d**(16\/7)\/d)\/d)*d)))**(-9\/5) assuming d is positive.\nAnswer: d**(176751\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112996 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, y: 1, i: 3, k: 8, g: 2}. What is prob of picking 2 k and 2 g?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q. Let n = 8 + -3. Let r = n - 5. Let g(x) = 2 - x - 2 + r*x. Calculate h(g(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 0*l)*(11 - 11 - 3*l)*(-13*l**2 + l**2 - 4*l**2).\nAnswer: -96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2, 0.0242, 0.16.\nAnswer: 0.0242, 1\/9, 0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/8)\/(j*j\/(j\/(j*j**4)*j)))\/(j**2)**29 assuming j is positive.\nAnswer: j**(-499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*30\/(-200))\/(9\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73365\/14 - -5243. Find the common denominator of 2\/(9\/(-93)*((-128)\/(-12))\/4) and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:01 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.41 + 0.59. Let j = o + -12. Let z = j + 2.5. Which is the closest to -3? (a) 2 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21568655.\nAnswer: 5, 4313731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190861237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 86 + (2 - (7 - (5 + -5)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y + 4*d, 5*y = 19*d - 23*d + 17. Let f(i) = -i**2 + 6*i - 1. Let x be f(6). Put -2, 7, y, x in decreasing order.\nAnswer: 7, y, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + w\/3 + 2\/3.\nAnswer: -(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000732243 rounded to six decimal places?\nAnswer: 0.000732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2478388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*z + 4*v - 23, v = -2*z + 20. Is 45 a factor of 2\/(-10) + ((-479226)\/(-30))\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**18\/(k\/(k**6\/k)))**34 assuming k is positive.\nAnswer: k**748","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-7))\/(1 + 2). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + (-363)\/(-22). Let j = g + -5. Calculate the lowest common multiple of 14 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.670741 rounded to 3 dps?\nAnswer: -0.671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/30)\/(2\/10). Suppose 0 = -2*q + q - 5*i + l, q - 4 = -i. What is the third derivative of 4 - 6 + 9*y**2 + 11*y**q + 2 wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321727 (base 8) to base 9\nAnswer: 623022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 7*k + 6. Let y be r(-7). Suppose -2*f + 56 = -y*f. What is the tens digit of f\/(-21) + (-80)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -425, -844, -1251, -1640, -2005, -2340, -2639, -2896?\n\"Answer: v**3 - 426*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 1. Let g(r) = -6*r**2 + r + 7. Let o be (2\/(-6))\/((-50)\/(-150)). Determine o*g(m) - 5*p(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 5 (c) 57 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 35. Let k = -36 + h. Which is greater: -0.32 or k?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.0994 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 22 = 5*u, -4*v - 58 + 2 - 4 = -2*u for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1007*g**4 + 251 wrt g.\nAnswer: 4028*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580 and 1776540.\nAnswer: 1776540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - (21 - (-13 + 39))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*b**2 + 31*b**2 + 279*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10835196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30061147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 255 or 26732?\nAnswer: 26732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3823854 plus -12451644?\nAnswer: -16275498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11933 and -0.03968907.\nAnswer: 11932.96031093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1105*i + 258*i + 409*i + 252*i + 0*i**2 - 1100 - 5*i**2 wrt i?\nAnswer: -10*i - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -6. Suppose 5*m - 3*f = 13, 4*m = 7*m + 4*f - 31. Let c be (-14)\/(-35) - 18\/(-5). What is the biggest value in 2\/11, m, n, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8426*n**2 - 6894*n - 6894. Let f(v) = -v**2 + v + 1. Calculate 13788*f(c) + 2*o(c).\nAnswer: 3064*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.416623 + -0.063633. Round g to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 2*f**2 + f + 7. Let n(w) = -2*w**3 - 2*w**2 - w - 6. Let v(d) = -d**3 + 7*d**2 - 6. Let k be v(7). Determine k*x(j) - 7*n(j).\nAnswer: 2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlnnnlllnllnlrlllnl. What is prob of picking 2 l?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1786920 and 59\/22872576?\nAnswer: 114362880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545593.\nAnswer: 7, 19, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 5, 2, -3, 15 in decreasing order.\nAnswer: 64, 15, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from zwjwwwzwzzwzwzjzzw?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3\/2 - 381927*w**2\/2 + 763836*w - 763830 = 0. Calculate w.\nAnswer: 2, 127305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dff when three letters picked without replacement from {d: 2, f: 18}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3455 + -3450. Solve 4*i + l*z + 8 = 0, -21 = -i - 2*i + 3*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17.836 or -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(4 - 0) + 211. Let i = -141 + h. Suppose -2*u + 148 = 2*k, k - u = -3*u + i. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -23*n**2\/2 - 10. Let a(s) = -5*s**2. Determine r(a(k)).\nAnswer: 115*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450637 and 111485.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*l + 2)*(l - 2*l - l - 2*l + 2*l + l + (3 + 1 - 5)*(4*l + l - 2*l)) - 10*l + 10*l - 5*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) - (10 + -8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1295 and 22869959?\nAnswer: 114349795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 52. Let z = 1 + n. Let w = 5.4 + -5. Which is the closest to 0? (a) w (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 - 15*f - 3 + 15*f. Let h(n) = 5*n**2 + 4. Let y(c) = 3*h(c) + 4*z(c). Let p(q) = -2*q**2. What is y(p(v))?\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-550 - -534 - (-32 + 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-52)*20 - ((-23)\/(-11) + 4)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + (-203)\/(-5). Suppose -4*n + 3*j + 18 = j, 0 = -4*j + 4. Suppose -34 = -n*a + o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 28. Let v = -13 - s. Is 6*(0 - v\/3) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*d - 4*u, 0 = -3*d - 2*u + 3*u - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-14) - (-102)\/(-21). Let y(z) = -z - 3. Give y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 - -203. What is the lowest common multiple of m and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-39)\/3 - 2). Let c be 70\/t*14\/4*-6. Let s = 273 - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzzzzssrzrzzmzzssrr. What is prob of picking 1 s and 1 m?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-2))\/(60\/48). Suppose -3*a + 560 = -5*q, s*q = -a + q + 184. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -23*z + 137. Let h be (-18)\/3*(-11)\/2. Suppose 2*o = -o + h. What is the remainder when z is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -f. Suppose f = 11*a - 6*a. Is a\/((-4)\/3) + 332 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 9*l**2 - 5*l**2 + 7*l**2 - 4*l**2 + l**2 + (0 + 0 - 2*l**2)*(2 - 1 - 3))*(-4 + 0 + 3) in the form d + r*l**2 + o*l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 4*u - 2*u - u to p*u + r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -71, -229, -537, -1043, -1795?\n\"Answer: -8*w**3 - 3*w**2 + 9*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8*f - 4. Let d be f*10\/(-5) - -3. Solve 3*q + d = -n, q + 3*n = -0 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p**2*r**2 + 6*p**2*s - 50*p**2 - 11917*p*r**2*s - 76*p + 2*r**2 wrt s?\nAnswer: 6*p**2 - 11917*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 2*d**2 - d + 2. Let i = -1 + -1. Let u be f(i). Suppose -u = -4*b, -b = -2*s - s + 9. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 + (-24)\/3. Let j = -2 - k. Solve -2*d - d + s + 5 = 0, 3*d + j = -4*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(65))\/(sqrt(25)\/sqrt(45))*5)**2.\nAnswer: 73125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -41. What is the remainder when q is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 182 and 140.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41436 and 4356.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5824 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1)**2 - sqrt(72)*-6.\nAnswer: 54*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6171359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from icndqzdq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*q - 11, -4*w + 9*w = -q + 10. Calculate the greatest common factor of w and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 greater than or equal to -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + k = 9, 0*k + 4 = -4*k. Suppose w*g - 3 - 1 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 4*m. Let c be s(2). Suppose -13*r = -34 - 18. Solve 8 = c*f - r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.185129 hours?\nAnswer: 666464400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 638.4 - 638. Put -45, m, 0, -10 in increasing order.\nAnswer: -45, -10, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14071100501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28680 is divided by 495?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022203351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 15. Suppose 4*o + 1 = m*a, -3*a + o - 1 = -4*o. Let v(k) = -k**3 + k**2 + 3*k - 1. Let u be v(2). Solve 0 = -4*q + a + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 9, u: 1, r: 3, n: 2}. What is prob of sequence uppc?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 14*u**2 - 17*u - 35. Give n(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(300) - (sqrt(300)*2 - sqrt(300))) - sqrt(12))\/(sqrt(28)\/(sqrt(28)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 728 - 154?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (202*z - 46 + 46)*(15 - 8*z - 15) as n + g*z**2 + j*z and give g.\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.494565728 rounded to three dps?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -690, -20, -3, 1, 2, 5.\nAnswer: -690, -20, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1652\/(-6)*126\/(-147). Calculate the greatest common factor of 112 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -421*d**2. Let q(l) = 546*l**2. Calculate x(q(a)).\nAnswer: -125506836*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/135)\/(44\/(-11))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9 + -143.9. Let c = -134 - k. What is the closest to -0.4 in c, 5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0, 3\/4, 1886 in ascending order.\nAnswer: 0, 2\/3, 3\/4, 1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from sxxstsssxxtssstttx.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4221)\/1005 - (3\/(-15))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998191.4 years to centuries.\nAnswer: 9981.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 10\/45 + (-7)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 98*w**2 - 2500*w\/3 - 736.\nAnswer: -2*(w + 1)*(w + 8)*(w + 138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51462, 51449, 51444, 51447, 51458, 51477, 51504?\nAnswer: 51539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o - 6 + 2*o**3 + 4*o**2 - o + 5*o**2. Let h be j(-6). Is 14 a factor of h\/(-10) + (-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 9. Suppose -16*a + 108 = -13*a. Let u be 8\/a*1 - 43\/(-9). Solve -h + 3 = u*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 2, k: 4, z: 1, g: 2}. Give prob of picking 1 h, 2 i, and 1 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-16)*(10 - 8). Which is the biggest value? (a) l (b) -1 (c) -0.5 (d) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(2\/(-5))\/((-40)\/125).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -45. What is the common denominator of ((-2)\/24)\/((-140)\/8176) and 2 + 6*y\/44?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1984170815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.5 in 0.4, -144.2, 44\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/(-21) - -1)\/((-572)\/2002).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 46 - 52 - ((-3 - -2) + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*g**2 + 461304 - 461304.\nAnswer: 116*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 6*k**2 + 4*k - 9. Give m(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1732*v**4 + 553*v**6 + 1732*v**4 - 16*v**2 wrt v.\nAnswer: 66360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -32*h. Let b(r) = 2*r**2 - 40. Give b(w(n)).\nAnswer: 2048*n**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 - 213. What is the greatest common divisor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 970\/27 + 3500\/(-378) + 6\/(-9) + 10.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 156*x + 836. Let m(c) = c**2 - c - 2. Let z(n) = l(n) + 2*m(n). What is the first derivative of z(t) wrt t?\nAnswer: -6*t - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/(168\/80).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 - -232. Suppose q*y - 390 = -2*m, m + 4*y = -2*m + 595. Calculate the highest common divisor of 123 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let h(t) be the second derivative of -97*t**3\/6 - t - 36. Calculate h(o(n)).\nAnswer: -194*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101221220 (base 3) in base 5?\nAnswer: -2241332104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242762 (base 10) to base 3.\nAnswer: 110100000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1305115 and 39\/1305115?\nAnswer: 1305115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -145539.018 minus 0.026?\nAnswer: -145539.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -25*j + 2213. Let t be n(87). Solve -9 = t*v - 47*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgh when three letters picked without replacement from {r: 2, k: 3, g: 1, h: 1, s: 7}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3171000 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 44*w - 7. Let f(i) = 15*i - 2. Let q(z) = 11*f(z) - 4*j(z). Let x be q(-3). Is 3991\/x*(1 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(4)*1)\/sqrt(5)*-4 - (sqrt(4) + 2*sqrt(256))\/sqrt(2)*-4) + -5.\nAnswer: -5 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22299 + 22365. Let f = -1 + 3. Calculate the remainder when t is divided by f\/2 + (-66)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746019.88 rounded to the nearest 10000?\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20*s - 32. Let o be b(-8). Calculate the greatest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24b5 (base 12) to base 13\nAnswer: -1b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = -35. Suppose 2*f + 5*q = -0*q - 19, 4*f = -q + o. Suppose -2*j - 5*t = -89, 2*t - f = -13. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117686 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23440012 (base 5) to base 3\nAnswer: -102002012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881 by -496840.\nAnswer: -881\/496840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**2 - 2*i**2 + i**2 to the form t + g*i**2 + x*i and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 5*p - 1 = 0, -6*p = k - 3*p + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 855, 854, 853, 852?\n\"Answer: -h + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27\/11 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5693 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10575 and 19.07?\nAnswer: 2.0166525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 9 + (-14 + 19 + -26 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95586 (base 11) in base 12?\nAnswer: 68617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 3 - 3 + (-2*i + 0*i + 5*i)*(-9*i**3 + 7*i**3 + 9*i**3) - i**4 + 5*i - 5*i + (2 - 3 + 2)*(-3*i**2 + 3*i**2 - i**4).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 892*y. Let i(k) = -12*k**2 + 65*k. What is p(i(s))?\nAnswer: -10704*s**2 + 57980*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 314454240 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 6. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 4, -1\/5, -0.8, 1, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*c + 58, 2*c + 0*n - 2*n = 36. Is (-1 - -3)\/(4\/c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10274338 + 143736949\/14. Let g = -7409 - t. Find the common denominator of 71\/4 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012287 to four decimal places.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 125*v + 115. Let w be q(-1). Which is the second biggest value? (a) w (b) 0.5 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:11 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*y + 2077 - 35512. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -36*l**2 + 1. Let t be o(1). Let n(k) = 100 + 108 - 173 + 28*k**2. Let x(c) = 3*c**2 + 4. Calculate t*x(q) + 4*n(q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 293, 439, 585, 731, 877?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*a = -2*a - 40, 4*q - a = 100. Suppose 3*c + c = q. Let o be 6\/45 - (-86)\/30. Solve 0 = -o*g - 3 + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}