diff --git "a/data/dm_maths/full_data_1/1477_11255.jsonl" "b/data/dm_maths/full_data_1/1477_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1477_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (g**(15\/7)\/(g\/(g**(1\/4)\/g)))\/((g**(-1\/6)*g)\/(g*g**(2\/19))) assuming g is positive.\nAnswer: g**(1061\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**3 + 748*k**2 - 8*k + 28. Let g(u) = u**3 + u**2 - 2*u + 7. Calculate -f(q) + 4*g(q).\nAnswer: -12*q**3 - 744*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1112 and 41700.\nAnswer: 83400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 4 + 0*r**6 + 0*r**5 + 0*r - 5\/7*r**7 + 0*r**4 + 0*r**2 - 2*r**3. Find the third derivative of d(q) wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/18 - (((-31372)\/207)\/31 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + j**2. Let a be x(1). Let z(t) be the third derivative of t**5\/30 - t**4\/12 - t**3\/6 - t**2 + 119. Determine z(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*u - 0*u + 34, -3*k = -4*u - 37. Let a be (-90)\/u + (-3)\/(-1). Let q be a - 2*(-1 - 1). What is the highest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15573, -12621, -9655, -6669, -3657, -613?\nAnswer: 2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:19 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -47*z**5\/120 - z**4\/8 - 2*z**3\/3 - 4*z. Let f(r) be the second derivative of l(r). Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.45 + -1.372607677?\nAnswer: -18.822607677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29243*g**2 - 38273*g + 17. Let w(f) = -4874*f**2 + 6386*f - 3. Let j(y) = 34*w(y) + 6*z(y). Find the second derivative of j(b) wrt b.\nAnswer: 19484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-12)\/(-9). Suppose -b + 2*t + 1 = 0, -3*b + 3*t - i + 20 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -426\nAnswer: 4\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 18*q + 5*r + 350 = 0, 5*r - 5 = 0. Let o = q + -770. Which is bigger: o or -416?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 75 - 96 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.9. Let c = 1.2 + 0.8. Let w = -2 + c. What is the closest to w in d, -3\/2, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/18*(-54)\/4. Let o = -21 + 30. Calculate the greatest common factor of n and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50728010 divided by 10145602.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q + 28. Let d be b(7). Suppose 0 = 11*o - d*o + 60. Solve -6 = -4*m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385252?\nAnswer: 2, 11, 19, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:38 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/35*(-1)\/(-20). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpfppppppppfpppfpp. What is prob of picking 3 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, d: 5}. What is prob of sequence ttdd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -381. Suppose -3081 = -x*n + 321. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/(-100)*(-8)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 768 and 128.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*u + 5*u**3 - 5 - 4*u**3 + 138*u + 2 to the form n*u + i + o*u**2 + w*u**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 16) to base 7\nAnswer: -3062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from junnjnhnju?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230494 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.899*-0.4.\nAnswer: 3.5596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and 183.911.\nAnswer: 16368.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 57*k**2 + 56*k - 79. Let g be d(-58). Solve -5*v - g = -0*v + 3*h, 2*v - 3*h = 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19630028 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11*1.1486\nAnswer: 12.6346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11864 greater than -25\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 - 807840*g - 11308780 = 0. Calculate g.\nAnswer: -161554, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/4 - (-1 + -3 + 6). Suppose -20*o - 126 + 206 = 0. Solve o*h + 2*y = 10, -y = y + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1149, -1154, -1171, -1206, -1265, -1354, -1479?\n\"Answer: -k**3 + 2*k - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3 + 1. Let o be (c\/4)\/((-9)\/(-27)). Suppose -o*b + 3\/2*b**2 + 1\/2 - 1\/2*b**3 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-126)\/72*2\/7*-6. Let p be (-26)\/(-4)*(4 - 6\/r). Solve -3*n - 2 - p = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11322 + 11321. Let g(b) = -b**3 - 3*b**2 + b + 4. Let q be g(-3). Is q at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yia when three letters picked without replacement from yiiiakniyi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -141. Calculate the remainder when 204 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -131, -145, -165, -191, -223?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.3552.\nAnswer: -4.6448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316 - 2*f + 4*f + 256)*(2*f + f - 4*f) + 4*f - 5*f + 3*f + f**2.\nAnswer: -f**2 - 570*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13808 take away -0.068917?\nAnswer: 13808.068917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.51 + 1.51. Sort -0.2, 0.4, q, -26 in ascending order.\nAnswer: -26, q, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 4*s + 4. Let i be c(5). Let h be (8 - 8) + (-4090)\/(-18). Let y = h + -227. What is the closest to -3\/4 in i, -4, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31795, -63386, -94977, -126568, -158159, -189750?\n\"Answer: -31591*t - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - y = -17, -x + 5 = y + 3*y. Let s = x + 5. Suppose -631*l = -619*l - 36. Solve -2*h = -l*w - 3, s*w = 3*h - w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2988 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*n. Let l = 0.4 - 2.4. Which is the biggest value? (a) l (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137417 (base 8) in base 12?\nAnswer: -2437b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:43 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 - 185 = 93*a - 16*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 - 3*v**2 + 0*v**2.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 33.5. Let o(j) = 5*j + 1. Let t be o(-1). Which is the nearest to -1? (a) p (b) -2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:02 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:25 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 37 - 62 = 0. Let r = 0 + 2. Suppose z + 12 = -2*z. Which is the smallest value? (a) z (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v\/((v\/(v*v\/(v**(-6)*v)*v))\/v)))\/v*v**(6\/7)\/v*(v**4)**(-33) assuming v is positive.\nAnswer: v**(-981\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/(-671) + ((-9)\/(-110))\/(42\/35)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**3\/6 + 27*h**2\/2 + 26*h + 1. Let b be l(-8). Let r(z) = -z**2 - 13*z - 7. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2292 (base 10) to base 11\nAnswer: 17a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1\/4, 1\/3 in increasing order.\nAnswer: -13, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1117856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Let x be 0 + 9 - 2\/(-4 + 3). Solve -j*t + x = i - 4*i, 0 = -5*t + 4*i + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 17*d - 2. Let n(w) = -9*w**2 + 17*w + 2. Let x(y) = 2*n(y) + 3*u(y). What is the second derivative of x(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/463 (b) 5 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 445000 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 1\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062*7.4.\nAnswer: 7858.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 2:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 4. Let i(k) be the first derivative of k**2\/2 + k + 10. Let x(v) = -i(v) + r(v). What is the derivative of x(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 1046712*t - 1046716 = 0.\nAnswer: -1, 261679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0341 - -0.034538. Round y to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/171 + -322\/855. Let g be (6\/(-54))\/(1\/(-6 - -2)). What is the nearest to -3 in g, -4\/5, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 54\/3 - 11. Solve o = -3*a + r + 2, -2*a + 10*r + 10 = 5*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**4 + 2*u**3 - 711*u**2 - 16970?\nAnswer: -4*u**3 + 6*u**2 - 1422*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 - 3) + -10 + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528505 is divided by 126425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16479 and 2264947.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257413937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f + 9. Let s be m(1). Suppose -3*l = -2*c - 777, 510 = 6*l - s*l - 4*c. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:40 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-4 - 60\/(-9)). Which is bigger: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007043 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/7045104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b1 + -1?\nAnswer: -19b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 3*h**2 + 4*h - 9. Let q be c(3). Solve -q*d - d = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1019*h**4 - h**3 - 2*h**2*j**3 + 2*h*j**2 - 3*h*j - 66*j**3 + 2*j wrt h?\nAnswer: -12228*h**2 - 6*h - 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 6*y**3 + y**3 + 15*y**2 - 7*y**2 as j + i*y**3 + g*y**2 + v*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2375360 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 5*o + 1. Suppose 0 = 5*n - 70 - 10. Suppose 46 - n = -5*y. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4491*c**2 - 4562 + 97*c - 169*c + 72*c - 694 with respect to c.\nAnswer: 8982*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*85 - 36\/(-6). What is the second derivative of -25*b + a*b**5 - 150*b**5 - 23*b wrt b?\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -7*h**5\/120 - 2*h**4\/9 - h**3\/9 + 2*h. Factor w(r).\nAnswer: -r*(r + 2)*(7*r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*x**3 - 105*x**3 - 52*x**2 - x + 208*x**3 to l*x**3 + d*x**2 + z*x + s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(2*sqrt(288) + sqrt(288))*4)**2 + 4 + (sqrt(108)*-1)\/sqrt(9).\nAnswer: -2*sqrt(3) + 109\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -v, 5*v + 4*n + 6 = 3. Suppose -k + 2 = 7. Does 4 divide k*(48\/(-10) - v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655120961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-462808)\/(-96) + 25\/10. Let v = 4820 - d. What is the common denominator of 73\/141 and v?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-7\/9)*n**(1\/3)\/(n\/n**(-7)) assuming n is positive.\nAnswer: n**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153\/8 - 55\/24. Let w = 4536689\/12 - 377755. Let g = -302 + w. Find the common denominator of g and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/59617 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2908 and -37\/4?\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 44*o**2 - 103*o + 4527. What is n(44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -9\/31 (c) -2\/7 (d) -4172 (e) -1\/5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -18.34. Let t = p + -0.6. Let d = t + -3.06. Which is the smallest value? (a) 3 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*p - 732 = 0, -7*d = -4*d + 4*p - 444. Suppose -a = 2*a - d. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - 44*j - 88. Let b(g) = -5*g**2 - 45*g - 90. Let r(t) = -4*b(t) + 5*k(t). Factor r(q).\nAnswer: -5*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6912\/54)\/((-2)\/(-8)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241055, 961776, 2162977, 3844658?\nAnswer: 6006819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 2*x + 7. Let h be m(4). Let v = -26 - h. What is the remainder when 33 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/5030 and 64\/22635?\nAnswer: 45270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1867, 3933, 5997, 8059?\nAnswer: 10119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -15*r**4\/2 + 24*r. Let w(s) be the first derivative of s**2 - 4. What is m(w(k))?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/(1\/(-1)). Let a = s - -5. Let d be 3\/(-12) - (-21)\/4. Solve a = -d*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 2) + (109 - (30 + -9)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h + 9. Let u be (-35)\/45 - (-2)\/h. Let j(l) = 36*l**2 - 4*l - 2. Is j(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525 - 262 - 519 + 17*z**2 + 1306.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 n when three letters picked without replacement from nnunnannv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531*m**2 + 6*m - 323978.\nAnswer: 1062*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12423, 18580, 24737?\n\"Answer: 6157*l + 6266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841*j = -2443 - 80 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.487 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/w)**(-4\/23)*(w*w\/(w\/w**7))**(-6\/7) assuming w is positive.\nAnswer: w**(-1068\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 42*d + 4. Let j be u(-21). Suppose j*p + 2*g - 298 = -0*g, -4*g = p - 92. What is the greatest common factor of 360 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 29. Suppose -s = -2*r - 3. Solve -2*w - 3 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342.759l in millilitres?\nAnswer: 3342759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:08 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 45393560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5468302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s - 5*s + 0*s. Let y(c) = -12*c**2. Determine y(j(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*r + 20, -4*r = -3*i + 11 + 5. Is -2 + i + -1 - -10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.22 - -18.22. Let n = -37.8 + 32.8. What is the closest to -1 in n, -8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**2 + 5. Let o(q) = -280*q**2 + 29 + 269*q**2 - 33. Determine -4*b(d) - 5*o(d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 7. Let u(d) = d - 2. Let k be u(7). Let q be w(k). Suppose t - q = -0*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 177. Let q(u) = u + 58. Calculate -7*q(y) - 2*v(y).\nAnswer: -3*y - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -55240 divided by 12\nAnswer: -13810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273379816?\nAnswer: 2, 79, 307, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192 - 763\/4. Let t be (-8)\/18 + 98\/18. Suppose -d - 15 = 2*d. What is the nearest to o in d, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27 - -0.13. Let r = n - -0.44. What is the closest to 0.1 in 5, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 6*l**2 + l - 4. Let b be g(6). Suppose b*f = f + 77. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 8*b**2 - 10*b - 9. Let s be 3\/(-3)*-1 - 10. Let t be i(s). Let h = 216.4 - 216.1. What is the nearest to -1\/3 in h, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 3*a - 8. Is n(14) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130904 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l - 7393 = -380293. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 67\/14 (b) 34 (c) 6\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -42 + (27 - -2) - 18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -490 equal to -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*z + 264008 = -9*s, -5*s = 4*z + 330016. Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5572, -5573, -5574, -5575, -5576?\n\"Answer: -z - 5571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15384432 by -2532.\nAnswer: -6076","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 1776 - 663. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2751444098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 10.26 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, 145, 428, 815, 1300?\n\"Answer: -k**3 + 61*k**2 - 3*k - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 4:57 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*p - 34667 - 14611 = 129*p for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -2*g**7\/105 + 7*g**6\/30 + g**5\/15 - 7*g**4\/6 - 137*g**2 - 42. Let y(m) be the second derivative of a(m). Factor y(v).\nAnswer: -4*v*(v - 7)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-18))\/(2\/4). Suppose 0 = -3*d + 15, -3*b + 0*d = 2*d - 13. Are h and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 times -1496.5?\nAnswer: -5237.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*s + 4 = 292*s. Suppose 8 = s*i, 2*i - 3*i = -4*t - 180. Is -42 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 52*k + 2. Suppose 20 = 10*l - 60. Let a(p) = -p**2 + 13*p - 29. What is the lowest common multiple of a(l) and h(-26)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Solve c*s + 4*y = 16, -4*s - s + 1 = -3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.122 and -1725.\nAnswer: 210.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 11:13 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13772160 and 11904.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 275317879 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 12:32 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j + 0*j)*(-147 - 2*j - 609*j**2 + j + 300 - 151).\nAnswer: -1218*j**3 - 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2083 or 1?\nAnswer: 3\/2083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -32*p**2 - 131*p - 8. Let x be h(-4). Suppose 2*l + 24 = 6*l. Find the third derivative of f**x + 7*f**4 - 11*f**2 - 8*f**4 - 11*f**l wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -30 in ascending order.\nAnswer: -30, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 4. Let y be c(3). Suppose s - 3433 = y*k + 662, -3270 = 4*k - 2*s. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + sqrt(180) + -1 - (-1*sqrt(180) + -4)) + 1 + (-4*-2*sqrt(180) - -2*1*sqrt(180)))**2.\nAnswer: -576*sqrt(5) + 25936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -25\/87, 1, 1\/6, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2818160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {y: 2, k: 1, e: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:00 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-l + 4*l**2 + l) + 2*l**2 - 3*l - 3*l + 5*l.\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Suppose -p + 9 = t, -3*p + 5*t = -6*p + 35. Let l(b) = -3*b - 1. Determine p*f(k) - 3*l(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 4. Calculate t(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odjjlwtl. Give prob of picking 1 w and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = -3*j, 2*j + 47*y = 48*y - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8264.531 kilometers?\nAnswer: 8264531000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*o - 297 - 93 = 0, 0 = -4*o - 12. What is the remainder when k is divided by 67?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 2*d + 6, -2*r = 243*d - 244*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 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 4*w = 4*j + 40, -2*w + 40 = 2*w + 2*j. Calculate the least common multiple of 18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114539646*t**4 + 190859749 with respect to t.\nAnswer: 458158584*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/6)\/(9\/6). Let z(w) = i*w - 24 + 24. Let x(q) = 2*q**2. What is x(z(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1842*h**3*m + 307*h*m**2 + 7040253*m**2 wrt h?\nAnswer: 5526*h**2*m + 307*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 11*b**2 + 27*b + 235. Give d(-12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -43.095. Let q = -0.055 + v. Which is the biggest value? (a) q (b) -2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11775, -11776, -11777, -11778, -11779?\nAnswer: -11780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92641*g**2 - 453*g + 42.\nAnswer: -185282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4630570 is divided by 2129.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/7 - 10*r**2\/7 + 27*r\/7 - 18\/7.\nAnswer: (r - 6)*(r - 3)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 920 = -23*s - 812. What is the greatest common factor of 16708 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1379*g**2 + 152 - 152 + 1363*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = 92*k + 66 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 25*2\/18) + -1. Suppose -t = -0*t + 1. Let h be (-2 + (-16)\/(-7))*t. What is the nearest to h in -0.07, -4, v?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) -8\/5 (c) 12 (d) 2 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c - 457 + 88*c - 47*c.\nAnswer: 3*c - 457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1 - 4\/(-6)). Let t = 0.07 + 2.93. Let y = -19\/40 + -1\/40. Which is the smallest value? (a) g (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*y**2 - 26*y**3 + 682*y**2 + 2*y**3 - 338*y**2.\nAnswer: -24*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 7*y - 3*y)*(-y + y + y**3) + 3*y**4 - 3*y**4 + 3*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185400833*t - 326202678?\nAnswer: -185400833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibcicbiibiibcbbbic. What is prob of picking 1 i, 1 b, and 2 c?\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -18*t + 105 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 181208 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*-1*4\/(-20)*-5. Let h be (282\/u)\/(-6) + 9\/15. Is 60\/7 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 31.5. Sort -0.4, 2\/11, 9, h in descending order.\nAnswer: 9, h, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111 (base 2) in base 5?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 6 + 1. What is the remainder when b\/(-4) + 1\/(4\/155) is divided by 6\/(-33) + (-114)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 83?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26852 and 2891.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a*a)\/(a\/a**0*a)*a**(2\/17)*(a*a**7)\/a assuming a is positive.\nAnswer: a**(639\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7552 + 1724 + 1721 + 1715 + 2392 - 524*q.\nAnswer: -524*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 731966519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1)*280\/(-5). Let t(p) = 3*p**2 + 11*p + 10. Let s be t(-4). Calculate the highest common factor of s and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27724385291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 19*n + 29. Let w be p(2). Let i be 13\/((-364)\/w)*6\/9. Factor 3\/2*h**3 + i*h**2 + 0*h + 0 - 2*h**4.\nAnswer: -h**2*(h - 1)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/(m**1\/m))\/(m*m*m\/(m\/m**(-9))*m**(1\/20)))**45 assuming m is positive.\nAnswer: m**(1071\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*i - 70*i**3 - 232*i - 232*i - 56*i**2 + 56*i**2.\nAnswer: -70*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1371, 2671, 3957, 5223, 6463?\nAnswer: 7671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 2*p**4 + 0*p**4 + (-3*p + p**2 + 3*p)*(2*p**2 + 1 - 1) - 488261*p**3 + 488261*p**3 - 2138*p**4 - 13935*p**4.\nAnswer: -16072*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from iiiqiiziicqiccqiqi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19589 - -30694. Let d = i + -110951\/10. Calculate the common denominator of d and 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378 (base 11) to base 16.\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 8*j**2 + j - 2. Suppose 18 = 4*k - 14. Let x be l(k). Is (x - 5)\/((-1)\/(-37)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 270*o - 4785. Give h(21).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113678 - -295178. Suppose 3*m = 9*m - f. Let c be m*(-80)\/(1 + -2). Round c to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50590?\nAnswer: 2, 5, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -257311.369 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppypptppypppytpy. Give prob of picking 3 p and 1 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179\/90 - 17\/9. Let n be (2\/(-28))\/(1\/4). Which is the third biggest value? (a) n (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(270))\/((sqrt(70)*2)\/sqrt(7)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 10*y - 144. What is the least common multiple of 9 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f\/f**2)))\/f**(2\/13))\/((((f\/(f*f*f\/f**5))\/f)\/f*f*f*f)\/f*f*f*f\/(f\/(f\/(f\/(f*f**(2\/15)))*f))))**(-45) assuming f is positive.\nAnswer: f**(5433\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 39*r = 200. Suppose -4*g = -r*g + 236. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*y**3 + 59*y**3 + 8*y**5 + (-y**2 - 1 + 1)*(4*y**3 - 3*y**3 + 0*y**3) + (-12*y**4 + 16*y**3 - 16*y**3)*(-y - 3*y + 7*y).\nAnswer: -29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - p = -14, f = 2074*p - 2075*p + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -7035.\nAnswer: 34\/7035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95739*r + 56544 = 95150*r for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(2*1)\/((-10)\/5). Suppose 0 = -o*h - m + 400, -2*h + 0*h - 4*m = -178. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/3 + 1\/(-3). Suppose -y*d - 5 = 3*d. Let q(l) = l**2 - 1. Let t(o) = 7*o**2 - 5*o - 4. Let z(u) = d*t(u) + 6*q(u). What is z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/11*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 7 + 6 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 46627701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 7. Let r be ((-4)\/10)\/((-60)\/s). Is -0.2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-9))\/4 - (13 + 1498\/(-105)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65172 and 127572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 7512\/11?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.1 (c) 277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664493.1 milligrams to kilograms.\nAnswer: 0.6644931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - 14*z**2 + 36*z - 19. Calculate w(4).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 50295 (base 15) to base 7\nAnswer: 2104460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - (3 + -4)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(6253000\/(-53196)) + (-6)\/444?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7305 - 7307. Suppose 2*d = -2*d. Sort d, 2, i in descending order.\nAnswer: 2, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232)\/522*(-5)\/60*-6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, -951, 135 in descending order.\nAnswer: 135, 5, 2, 1, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 3*k = 14*j + 416, 0 = -2*j + 5*k + 208. Calculate the remainder when j is divided by 9*2\/(-6)*-6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100860 by -5.\nAnswer: 20172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77 - 57 - ((-7 - 7) + -22)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -316. Let v be 97016\/w - 6\/75. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*c = 2 + 13, 3*r + c + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4191, 3, -21, 1 in decreasing order.\nAnswer: 4191, 3, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -452345?\nAnswer: -452353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - j)*(6080*j + 500972 - 500972).\nAnswer: 6080*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -57 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139139, -278273, -417407?\nAnswer: -556541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-27) + (59\/3 - -4). What is the highest common factor of 318 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 + 10*k - 62 + 31 + 24 + 0*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-3) - 2\/3. Suppose -4*m + p*m = 6, -2*m + 50 = 2*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15937 - -15937.072. Which is greater: -32 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20212 (base 3) in base 16?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.74633 * -40\nAnswer: -69.8532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 - 208*a**2\/3 - 1468*a\/3 - 880.\nAnswer: -4*(a + 3)*(a + 5)*(a + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5*-2*(-15)\/(-4). Let n = -2110 - -2110.3. What is the closest to 0 in -2\/3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 27*r - 4. Let g(x) = 18*x - 71*x + 8817 - 8808. Determine 9*d(b) + 4*g(b).\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-51)\/(-24) + 1\/(-8). Sort -5, 1, s, -7, -1 in increasing order.\nAnswer: -7, -5, -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 3*r**4 - r - 22. Give n(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -15\/2*t**2 + 0 - 14*t + 1\/4*t**4 + 0*t**3. Let x(v) be the first derivative of n(v). Let q(g) = g**2. What is x(q(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*d + 5*d - 37, 5*p + 3*d = 63. Let f(g) = -4*g - 7. Let t be f(-7). Suppose -5*u - t = 2*i - 71, p = -3*i. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - o + 21. Let t be s(0). Suppose -m - t = 5*z, -4 = -m + z - 1. What is the smallest common multiple of 3 and ((-15)\/(-3))\/(m\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10 + 8*n**2 + 16*n**2 + 15*n**2 + 1049*n**5 - 26*n**2 + 9*n**2 wrt n.\nAnswer: 62940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {t: 1, h: 4, w: 8, s: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154050420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 27*r**6\/40 + r**4\/3 + 68*r**3\/3 + r**2 + 1522. What is the first derivative of w(x) wrt x?\nAnswer: 243*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.79 + 1.79. Which is the second smallest value? (a) 5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64899321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/5 - 6130826*y\/5 - 18392496\/5 = 0. Calculate y.\nAnswer: -3, 3065416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + -0.07. Let h = -5.7 - m. Let p = h + 8. Which is the nearest to p? (a) -0.5 (b) -4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, -32, -109, -216, -353, -520, -717?\n\"Answer: -15*i**2 - 2*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -3\/5, 36, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923045690?\nAnswer: 2, 5, 7, 47, 280561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -13, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53651716 + 0.002.\nAnswer: 53651716.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 5*a + 0*a)*(2*a**3 - a**3 - 2*a**3) - a**4 + a**4 - 3*a**4 + (a - 4*a + a)*(a**3 + 0*a**3 - 4*a**3).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 7. Let s = -10.00002 + i. Round s to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -z - 38, 47 = 2*l - 5*z. Suppose 0 = -2*g, 2*g - l = -5*p + 24. Solve 0 = -r + 2*x - p, 3*r = -2*r + x + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.5642ml to litres.\nAnswer: 0.5565642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0135 + -0.0726. Round o to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let o(b) be the third derivative of -b**4\/6 + b**3\/3 - 4*b**2. Let r be o(-6). Solve 2*v = 5*t - r, 2*t - f*v = -t + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + -2 - -3. Let h(q) = q**3 - q**2 + 1. Let z be h(k). Suppose -z = t + 3*j, t = -3*t + 5*j + 31. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 981.1 - 981. Which is the closest to -2? (a) 0.5 (b) 16 (c) y (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1010793204*p**5 + 22*p**2 + 2*p - 11895425?\nAnswer: -60647592240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*x**2 + 206*x - 206*x + x**4 + 4079*x**3 - 4077*x**3 - 3 in the form q*x**3 + k*x**4 + p*x**2 + v + l*x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722 + 2167\/3. Let c = 0.15 - 0.08. Let q = -3.93 - c. What is the third biggest value in 1, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8533000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020110 + -12?\nAnswer: 10020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539677 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*2 + 3 - (sqrt(48) + sqrt(3072) + 1).\nAnswer: -18*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74151 - -3?\nAnswer: -74146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1047 - -1963. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -40\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432364873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5500*o = -2843*o + 119565 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1727 - -77676?\nAnswer: 75747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:34 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3443 by 6.\nAnswer: -3443\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 + -191.004. Round c to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (10 + 11 + (11 - 21))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -13, -31, -34, 26 in descending order.\nAnswer: 26, 3, -1, -13, -31, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k + 78 - k**3 - 78 - 7*k**2. Suppose 6 = 2*s + 18. Give c(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6081278 to the nearest 1000.\nAnswer: -6081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5162472, 10324955, 15487450, 20649963, 25812500, 30975067?\nAnswer: 36137670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let b be p(1). Let w be (3 - 65\/20)\/(b\/12). Which is smaller: -1\/31 or w?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u**4\/5 - 141*u**3\/5 - 261*u**2\/5 - 171*u\/5 - 33\/5 = 0.\nAnswer: -11\/2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xjjjejjxxejjjjxjej?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113738 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200759*m**3*p - 3*m**2*p + 3*m*p - 92*m + 7*p + 28 wrt m.\nAnswer: -1204554*m*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76867.6 from -0.4.\nAnswer: -76868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 10*s + 157. Give q(9).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 10. Let k be b(3). Suppose 5*r + k*r = 36. Solve -r*v - 1 = -16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = o + 2*z - 14, o + z - 35 = 0. Suppose o - 4 = -5*h. Is (2*1461\/h)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*v**2 + 9*v - 82*v**2 + 2*v - 2 - 20*v**3 as n*v + j*v**3 + c + d*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10545 - 5?\nAnswer: 10540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/9 - 19) + (-67266)\/(-2323)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23462, 47743, 72034, 96341, 120670, 145027?\n\"Answer: y**3 - y**2 + 24277*y - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-1)\/(-3)*-2). Let n(j) = 2*j**2 + 0 + j + j**f + 2 - j**3 + j**3. Let g be n(0). Solve 5*u - g*u + 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0677 + 0.4677. Let m = 27 - 36. Let j = m + 8. Which is the nearest to 1? (a) j (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1377) + sqrt(1377)*-1 + sqrt(1377) + -5 + sqrt(17) + 1 + sqrt(17) + -4 + (sqrt(272) - (0 + sqrt(272)))))**2.\nAnswer: -704*sqrt(17) + 8484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112257 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let s(k) = k - 3. Let m(r) = 4*r - 11. Let z(x) = -6*m(x) + 22*s(x). Give z(j(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28.37478 millilitres?\nAnswer: 0.02837478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2258, 0 in ascending order.\nAnswer: -2258, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29 - (12\/3 - 2). Let n be -6*120\/t*9\/6. Calculate the remainder when 48 is divided by (n\/(-28))\/((-1)\/(-7) - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7197, 3 in ascending order.\nAnswer: -7197, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**3\/6 - 7*g**2\/2 - 8*g + 19. Give z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/11, 0.23?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2505594 is divided by 2505562.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*(-55)\/(-77)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4648 is divided by 1539?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 25385728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/5)*x**22\/x)\/(x**(-15)*x*x**(-18\/5)*x))**20 assuming x is positive.\nAnswer: x**768","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(8\/9)*(m\/m**(-18\/7))\/m assuming m is positive.\nAnswer: m**(169\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7605\/4 + -1926. Let c be 1\/2*1\/((-4)\/(-16)). Find the common denominator of d and c\/5 + 542\/320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.25552?\nAnswer: 0.76656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(((a\/(a*a\/(a*a**(-24)*a)))\/a)\/a*a)*a**(-1) assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)**(1\/2)\/((t\/(t**(2\/9)\/t*t*t*t))\/(t\/(t*t**(2\/15)))) assuming t is positive.\nAnswer: t**(94\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekcenedkkdcckkd. Give prob of sequence eck.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168735 divided by 33747.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8379.076 hours?\nAnswer: 502744.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -45. Let l be 2\/(-20)*f*0. Let z be ((-2)\/(-7))\/((-11)\/(-154)). Put l, 1, z in descending order.\nAnswer: z, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1225) + -3*sqrt(25)*-4)\/(-3*4*-1*sqrt(500)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243) - (((sqrt(243) + (sqrt(243) - (sqrt(243) + 0 + -5 - sqrt(243))))**2 - sqrt(243)) + sqrt(243)) - sqrt(243)).\nAnswer: 900*sqrt(3) + 4985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3128256, 6256496, 9384736?\nAnswer: 12512976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7*d + 6. Let g be n(-6). Suppose 30 = 3*b + 3*c - 0*c, g = -c + 1. Let t = 0 + 5. Solve 5*v - u + 5*u = -3, 2*v = -t*u + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/304 + (14652\/2907)\/11?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/8 + n**3\/3 - 7*n**2. Let g(j) = -7*j - 5. Determine 15*a(v) + 6*g(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.14 + -7.14. Are 247 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*(sqrt(5) - sqrt(45)) - sqrt(5)) + 5)**2.\nAnswer: -120 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1125 + -96012?\nAnswer: -97137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8*c + 40. What is the units digit of (-38)\/(-95) - (-2336)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 + 89*k - 309. What is the hundreds digit of i(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 1420, 2156, 2888, 3616, 4340?\nAnswer: 5060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.946327 rounded to two decimal places?\nAnswer: -172.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 14688130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2 + 1. Suppose 0*w - 4*w - 24 = 2*k, -5*k + 15 = -5*w. Let g(x) = -4*x + 2 + 2*x - 2*x**3 + 3*x**2 - 2*x**3. Determine k*d(q) + g(q).\nAnswer: -2*q**3 + q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60837 and 14?\nAnswer: 121674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {n: 2, h: 2, f: 1, g: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11924)\/2439)\/(((-22)\/396)\/((-2)\/(40\/(-15)))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/11 - 21605960*r**2\/11 + 31426816*r - 1382779392\/11 = 0.\nAnswer: 8, 10802964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j = 0. Let h = 6 + j. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -74. Suppose 0 = -5*x + 4*n + 220, 3*n + 47 = z*x - 41. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7827981.\nAnswer: 3, 7, 19, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43 + 27*v**4 - 377*v**4 - 90 wrt v.\nAnswer: -1400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/7826 and -5\/2236?\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286\/(-156))\/(22\/(-174))*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 17. Let j(c) = 7*c + 18. Let z(q) = -5*j(q) + 6*v(q). Determine z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 times 0.362007\nAnswer: 21.358413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3960 = -6*n - 3906 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*t - 3506, 4*k - 4664 = -6*t + 2*t. Suppose 0 = -207*y + 212*y - t. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43449352519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368063 is divided by 331.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3412.9995521 - 3413. Round l to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*142908.59\nAnswer: 285817.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*8\/216*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (19\/(-6))\/((-20)\/(-40)). Let f(o) = -o + 18. Let q be f(15). Sort 81, q, -1\/5, n in ascending order.\nAnswer: -1\/5, n, q, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -995\/7 + 47851\/336. Let p = o + 1\/16. Suppose 4\/3*u + 1 + p*u**2 = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5\/5 + 76*v**4\/5 - 768*v**3\/5 + 2464*v**2\/5 - 3392*v\/5 + 1728\/5 = 0.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1652)\/1062 - 156\/(-135).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 3. Suppose 0 = z - 3*l - 7, -88*l + 29 = -5*z - 89*l. Sort 4, -3, z, u in ascending order.\nAnswer: z, -3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 21.2. Let q = -52724688 - -52724705.0000015. Let v = h + q. Round v to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14)*(-11 + 4). Let d be 1\/v - (-118767)\/6. Suppose -5685 = -3*y - 5*k + d, y - 8520 = 5*k. Round y to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39148483.\nAnswer: 11, 3558953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j + 2*j + j + 5*j - 4*j + (-4*j + 5*j + j)*(1 + 1 + 0) + (0*j + 5*j + 0*j)*(1 + 3 - 1) + (6*j - 3*j - j)*(3 + 4 - 5).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591081 is divided by 1095.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let z(x) = 505*x. Give z(j(s)).\nAnswer: 1010*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 - 34)*(2*g - 2*g + 2*g).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - h + 0 - 3*h + h + 0*h + h - 4*h + 2*h + (-1 - 3 + 2)*(-2*h + 4*h - h) - 1394*h - 3394*h + 24775*h to k + m*h and give m.\nAnswer: 19981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*m + 3*m. What is the units digit of (-2)\/(m\/(-6)) - -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + ((-141)\/(-21) - 8\/(-28)). Suppose -10522 = -j*u - 3*f - 1812, -5*u - 5*f = -8720. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 238 = 4*o - 1145, 4*o = 4*y + 1348. Let d be (-96)\/(-32)*143\/39 - -559. Calculate the highest common factor of d and o.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(1\/10))\/z**(1\/6))\/(z*z**(2\/11))**40*((z**1)**(-49))**38 assuming z is positive.\nAnswer: z**(-314546\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 4. Let z be t(0). Let p be 75\/15 + z\/(-2). Solve -3 = p*r + 4*h, -6 = 2*h - 0*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2224414213 + -100?\nAnswer: 2224414113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552652163 to the nearest integer?\nAnswer: 23509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 - 3*f**2 + 5. Let z(r) = 37*r**2 - 38*r - 37. What is the remainder when a(-4) is divided by z(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) -36 (c) -5 (d) -3 (e) 0.14869\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869 = 4*k - 5*r + 4*r, 3 = r. Let u = k - 112. Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j - 2. Let c be d(3). Let f = c - -78. Suppose 347 = 40*w + 27. Calculate the highest common divisor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 137346.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 3*j - 4. Let l be n(7). Let p = 82 - l. Let y = p - -48. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**2 + 5*y + 2*y**2 - y + 0 + 4. What is the remainder when 66 is divided by v(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1738 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 285000 = -12*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 - s - 20. Let r be v(0). Let g be (-1680008)\/r + 4\/(-10). What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.3, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2594 by -18292.\nAnswer: 1297\/9146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 14. Let h = 10 - o. Solve 2*p - 4*p + 8 = h, 10 = 5*u + 5*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + -353324?\nAnswer: -353204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 623 + -623.0000103. What is y rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(931) + (sqrt(171) - 1*sqrt(171))**2 - -2*((sqrt(171)*3 - sqrt(171)) + sqrt(171))**2)*-4.\nAnswer: -12321 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 134 - 138 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-26)\/18)*(-36661 + 36653)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -1 + 1\/5*h**5 - 3\/4*h**4 + h**3 + 0*h - 1\/2*h**2. Solve d(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65232.3 + -12398000.\nAnswer: -12463232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3771\/77 + -424\/11. Let z = k + -72\/7. Let u = -0.1 + 0.3. What is the second smallest value in z, -5\/2, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/487, -8, 4 in decreasing order.\nAnswer: 4, 4\/487, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2022769 - 2022769 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3131?\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 5*w - 30, w = 2*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736159700.\nAnswer: 2, 5, 7361597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 47*x**8\/224 + 48*x**7\/35 + 149*x**6\/40 + 53*x**5\/10 + 63*x**4\/16 + x**3 + 191*x**2 + 6*x. Factor g(i).\nAnswer: 3*(i + 1)**4*(47*i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 4*b - 7. Let t be z(4). Let k be 10\/t + 66\/10. Suppose -k*l - 3 = -4*l. Is l equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.7*-243.81.\nAnswer: -2121.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173\/3 + (-1105 + 1108)*(-2 + 16\/9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*q = 2, -4*i = -6*q + q + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33729 + -14568. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 1 + 1 + (-3 - 3 - 6)*(110*t**3 - 854 + 854).\nAnswer: -1318*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -671056318 at least -671056318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -32*s + 4. Suppose -5*g = 4*f - 8, -2*g - 2 - 5 = 5*f. Let y be t(f). Let x = y + -45. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 11) to base 7\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768) + -4 - -4*(sqrt(12)\/sqrt(4) + -3).\nAnswer: -16 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 11*k**2 + 11*k - 15. Calculate u(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 213469418 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3016 divided by 477.\nAnswer: -3016\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 22105?\nAnswer: -22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*u - 5, 11*u - 3*w - 12 = 6*u. Solve -u*n + 20 = -0*n - 4*r, -22 = -3*n + 5*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1382756971 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.311 (b) -3 (c) 3 (d) -0.26 (e) -0.31 (f) -1\/19 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 0*c**2 - 5*c**2. Let d(n) = -6*n**3 - 15*n**2 + 9*n. Let u(h) = -d(h) + 15*r(h). Find the second derivative of u(s) wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504378512?\nAnswer: 2, 219023657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6265\/1253 - 120\/5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 513 = -4*m, -m - 3*w + 131 - 5 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1462300 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66576.\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/3 - 6572*i**4\/3 + 1793050*i**3 + 32439380*i**2\/3 + 59565448*i\/3 + 10837264 = 0.\nAnswer: -3, -2, -1, 1646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2738 (b) 1 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 20982?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*o - 193. Let a = -14 - o. Suppose 5*u + 10 = a. What is the smallest common multiple of 6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4268.13 + 4286. Let h = f + -18. Let k = h - -0.024. What is k rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-35)*(1 + 4). Find the first derivative of -b*x**4 - 3 + 8*x**4 + 2 - 2 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 4. Let h be w(5). Let s = 8 - h. What is the highest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7191150 is divided by 162.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 12. Let r be (-65)\/60 - 3\/(-9). Which is the smallest value? (a) r (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - 0. Find i such that -5*i**2 - l*i**2 + 3*i - 5*i + 3*i**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 1\/2*g**2 + 19*g + 1\/4*g**4 + 21 + 0*g**3. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:56 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-27)*(-36)\/280)\/(4\/(-5))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**2. Let k(n) be the first derivative of 29*n**2\/2 - 2685. Give k(g(c)).\nAnswer: 232*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(10\/4 + -1). Let j = 275 - 221. Suppose n - 4 = 2*o - j, -5*n = -o + 34. What is the highest common divisor of o and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 1:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*u**2*x - u**2 - 2*u*x + 13*u + 11*x + 8 wrt u.\nAnswer: 426*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Suppose -2*l = -c - 4*c + 8, -5*c = -5*l - 20. Let k(z) be the second derivative of -1\/6*z**3 + c*z**2 + 3*z + 0. Calculate k(r(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 5. Suppose 0 = -3*x + 5*g - 16, 0*g - 5*g + p = 2*x. Let o be 3\/(x - -14) + 0. Which is the fourth smallest value? (a) -4 (b) o (c) 0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4740187\/188 + 25213. Let b = 1\/94 + h. What is the closest to b in -1\/9, 3, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - -7) + -3 - (-7 + 0)) + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 29*m**6\/120 - 13*m**3\/3 + m - 81. Let o(g) be the second derivative of v(g). Let l(q) = 2*q**2. What is o(l(i))?\nAnswer: 348*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 16449405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - t = -2 - 3, 2*t - 10 = -4*k. Suppose -j + 1 - 3 = -v, v + j - 6 = k. What is the second derivative of l + 2*l**4 + l**v + l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**4 - 2*c**4 + 5*c**4 + (1 - c - 1)*(6*c**3 - 4*c**3 + c**3) + 4*c**4 - 2*c**4 + 0*c**4.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52816 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.9 - -2.1. Let b = 16.4 - j. Which is smaller: b or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 12*b**2 + 5. Let n be z(-12). Let a(d) = -d**3 + 4*d**2 + 6*d. Give a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 77 + 77 + 3*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4 + 269162*c**3 - 1345696*c**2 - 8612792*c - 9689472 = 0.\nAnswer: -2, 9, 134576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 93?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 84, -1, -2\/3, 3\/122, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p, -s + 11 - 3 = -5*p. Let l = -67 - -66. Is s >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2395080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 - r**5\/6 - r**4\/3 + 13*r**3\/6 - 3*r**2. Let j be f(-9). Solve 12 = -0*n - j*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42870547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let m = k + -4. Is 1*(m + 3) - -3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -2*c**5\/5 + c**4\/12 - c**3\/6 - c**2 + 12*c. What is the remainder when 23 is divided by w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose -100 = -3*n + o*b, -5*n - b + 3*b + 190 = 0. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8 + 3*b**2 + 2*b - 2*b**2 - 5*b**2. Let o(p) = 3*p**2 - p + 5. Let z(r) = -5*k(r) - 8*o(r). Find the second derivative of z(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -619 + 3?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-2) + -1)\/(1\/(-4)). Let k(q) = -q**2 + 2*q + 31. Let h be k(f). Solve -2*r + 20 = -h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b3c2c (base 13) in base 15?\nAnswer: 659bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 6. Calculate the remainder when 97 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392958.\nAnswer: 2, 3, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5.3. What is the nearest to 1 in 3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3298*n + 67022 = -1872*n for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -863, -1295, -1723?\nAnswer: -2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/242 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/2 - y**3\/3 - 3. Let k = 7 - 6. Determine s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + x = -3*x + 252, -5*q - 10*x = -12*x - 343 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 + 47508*o**4 + 282126252*o**3 - 142528*o**2 - 846473790*o - 564252516 = 0. What is o?\nAnswer: -11877, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3\/(-14)) + (-3310)\/331.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiitiiiiiti. Give prob of picking 1 i and 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 + 40*d**2 - 220.\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3283 + -26267\/8. Sort 2\/19, -1\/6, 0.5, i in descending order.\nAnswer: 0.5, 2\/19, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-7)\/(-3)*1. Let k = o + 29. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 11 - 8 + y + 10.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -16 + 6. Suppose j*u = 6*u. Find the second derivative of 3*x + x**2 + u*x**2 - 4*x wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1) + 37 + -3. What is the third derivative of -u + 95*h**3 - 382*h**2 + 92*h**3 + 379*h**2 - 8*h**3 wrt h?\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12082\/9 + -8075\/6. What is the common denominator of -127\/6 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-3 - -8 - 2) + 7 + -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -2, -3 in increasing order.\nAnswer: -11, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4, -4*o = -7*o - 5*s + 34. Suppose 4 = -12*g + 14*g + 4*p, 3*p + 2 = g. Suppose g*n - o*n + 534 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12851 - 11531 = 2611*n + 4933 + 4628 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x = 3*i + 41*x - 129348, -2*i + 3*x = -86231. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -3. Let p(q) = 3*q + 4 + f*q - 12*q + 2*q**2 + 3*q**3. Let y(l) = -9*l**3 - 6*l**2 + 11*l - 11. Give 11*p(i) + 4*y(i).\nAnswer: -3*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6.6. Let t = w + 2.6. Sort 1\/5, t, 0.4, 4 in descending order.\nAnswer: 4, 0.4, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from {f: 13, g: 2, w: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 5.472, -1, -1\/3?\nAnswer: 5.472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/8 and -22\/4247.\nAnswer: 33976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -96*s - 2. Let f be u(-8). Let k be (-1)\/(-2) - 2\/(-4). Let y be (f\/6 - k)*3. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722447073?\nAnswer: 569, 4784617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - g. What is the units digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o + 5. Let t be w(8). Put -2, -4, -1, t in descending order.\nAnswer: -1, -2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 + 8 = 0. Let u(x) = -x**3 - 9*x**2 + x + 11. Let w be u(-9). Which is the fourth smallest value? (a) -0.8 (b) w (c) l (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 161 = 2*l + 53, 0 = -l - 5*b + 54. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 2 = -30*r. Let y(v) = 86*v**2 - 169*v**2 + 4*v + 84*v**r. Determine y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 22\/3, 2\/5, -5, -13, 3 in ascending order.\nAnswer: -13, -7, -5, 2\/5, 3, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5689537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 903 = -2883. Suppose 210 = 2*c - 2*m, 10*c + 5*m = 5*c + v. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 10) to base 13.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 104*o. Let y(h) = -2*h. Calculate y(w(d)).\nAnswer: -2*d**2 - 208*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6, 3*m - 18 = 2*m - 5*v. Let q be 4\/3 + (-2)\/m. Which is the closest to -1? (a) -0.3 (b) q (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 396b5 + 32?\nAnswer: 39727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.146 and -483.\nAnswer: -1519.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i**3 + 84*i**2 - 7*i + 138859?\nAnswer: -15*i**2 + 168*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-15)*(5 + -3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11508 and -8145?\nAnswer: 937.3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -412076100 rounded to the nearest 1000000?\nAnswer: -412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -2, -1\/22, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/4)*u**(-12)*(u\/(u**(-1\/26)*u))\/u**2 assuming u is positive.\nAnswer: u**(-791\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 108 = 5*v + 17, 0 = 4*v - 20. What are the prime factors of 6\/(-27)*-4821 - d\/(-45)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, -0.059, 0.03, 0.2286, -1, -7?\nAnswer: 0.2286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -50*m**5 + 1100*m**2 + 211. Find the second derivative of r(b) wrt b.\nAnswer: -3000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25181 and 1456?\nAnswer: 2820272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(1995912\/65655)?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(6831\/(-92))*(-4)\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2. Let g(u) be the first derivative of u**4\/12 - 4*u + 2. Let x(s) be the first derivative of g(s). What is x(f(j))?\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k**3 + 32*k**2 + 4*k - 7. What is the hundreds digit of h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 207 + 523 = -4*y, 4*w = y + 64. Let o be 36195\/(-171) + 4\/6. Let r = y - o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/69? (a) 51 (b) -2 (c) 2 (d) -1\/7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 51*o**3 - 7*o**2 + o + 5. Let y(i) = i**2 - 1. What is -k(m) - 4*y(m)?\nAnswer: -51*m**3 + 3*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 935 - 725. What is the lowest common multiple of 110 and w?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -69 (b) 0 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 2, s: 4, t: 2, u: 3, v: 1, y: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.4 + 6.87. Let n = -7.33 - u. Round n to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)\/(20\/(-110)). Let t = k - 12. Let b = 3 - t. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 775, 1165, 1577, 2017, 2491, 3005, 3565?\nAnswer: 4177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2 + 4*f - 2*f**2 + 13*f**3 - 11 + f. Let t = 4 + -2. Let p(w) = -2*w**3 + 0*w**3 - 4*w**3 + 5 + 4*w**2 - t*w. Calculate 4*k(u) + 9*p(u).\nAnswer: -2*u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2732 times -0.2\nAnswer: 546.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c5cc4b - 4?\nAnswer: 3c5cc47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*q**3 - 496*q**2.\nAnswer: -2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*w + 743*w + 8*w**2 + w**2.\nAnswer: 9*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cspcsymwy. Give prob of picking 1 c and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4202 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -15, 52*w + 3*s - 11 = 56*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4208 and -627.\nAnswer: -1517.8416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 26) + (712 - 679)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9908693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*z**5 + (3*z**4 - 2*z**4 + 0*z**4)*(-3*z + 0*z - 7*z) - 2*z**5 + 0*z**5 + 3*z**5.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhqqqyhhhnhqqq. Give prob of picking 1 q and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -5*m + 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i - 5*l + 2324975, l + 2324951 = -i. Let r be i\/(-2024) + 2\/11. Let u = 1142 - r. Calculate the common denominator of 14\/5 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 65998595.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/3, -1, -0.1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*11\/(-10))\/((-138)\/115).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*v + 269*v + 1782 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-85)\/(-20) + (-1)\/4. Let w = s + -4. What is the third smallest value in 3\/2, w, -2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 7480*g + 1177344.\nAnswer: -4*(g - 146)*(g + 2016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2266940332 - 2269025982.286. Let a = -2085652.365999614 - f. Let v = 2.08 + a. Round v to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -256*y + 25. Let b(x) = 93*x - 9. Let w(h) = 4*a(h) + 11*b(h). Let t(q) = -q + 3. Give -2*t(z) + 4*w(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*z + 16414, 2*g - 161*z - 8213 = -160*z. List the prime factors of g.\nAnswer: 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 41.68275 seconds?\nAnswer: 41682750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from grrrngnnnr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142682600 rounded to the nearest 1000000?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (-98 - -99 - (1 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/5)\/k))\/k**4)\/(k**(-1\/9)\/(k\/(k\/((k**(1\/2)\/k)\/k))*k))*(k**(-4)\/k**(1\/4))\/(k\/k**(-2\/5))**(1\/18) assuming k is positive.\nAnswer: k**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*i = 17, 4*x + i = -x + 10. Let p(v) = -3*v + 11*v + 85*v**2 + 2*v - 3*v + x. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*r - 5*r. Suppose -5*i - 4*w + 10 = 0, -r*w = w. Let a be 5*(7 - (-152)\/(-20)). Sort a, i, -1 in ascending order.\nAnswer: a, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 3*g**4 - 1079*g + 1 + g**3 + 1081*g - 3*g**2 to d*g**3 + k*g + y*g**2 + m + a*g**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/5 + 58*r**3\/5 + 12*r**2 - 58*r\/5 - 59\/5 = 0.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-4*n - 3*n + 6*n)*(9*n - 11 + 11).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2, -s - 3*j = -j + 27. Let m be 48\/4*30\/9. Let b = s + m. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3 + 3)*(3*o - 2*o + 7*o)*(3 - 4 + 2).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 192. Let u be v(-32). Suppose -4*r = -12*r + u. Solve -3*b + 23 = -3*i - 2*i, 0 = i + r*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*s - 6*s - 9, -5*s + 75 = 5*q. Solve 0 = -4*r - 4 + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -81532*u**3 + 763*u**2. Let d(x) = 214*x**3 - 2*x**2. Calculate 2*c(k) + 763*d(k).\nAnswer: 218*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 120 = y, 30 = -j - 8*y + 4*y. Let p = j + 33. Suppose 0 = -4*g - 2*b + p*b + 133, 0 = 4*g - 4*b - 148. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 + 3*n + 1 + n. Let i(l) = -8*l**2. What is i(t(k))?\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9938 = -14*a + 1608. Let u be 3\/((-3)\/1) - a\/17. Calculate the highest common divisor of 493 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8612677, -8612678, -8612679, -8612680, -8612681, -8612682?\nAnswer: -8612683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1041303302?\nAnswer: 1041303304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5285)\/(-210) - 25)\/(33\/18)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = b + 4*b. Suppose -4*n - 51 = -n - 5*f, -3*n - 51 = 2*f. Let r = n - b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*f + 2*k - 9, 5*k + 6 = 4*f. Suppose -f*a + 381 = -a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3495113.\nAnswer: 1493, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868937\/104 >= 46817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**26*p**(1\/6)*(p\/(p**(2\/19)*p))\/p assuming p is positive.\nAnswer: p**(-2083\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 528 = -3*m. Suppose -3*h = 3*p - m, -4*h + 39 = -2*p - 107. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 972356561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 2. Let f(k) = 1. Suppose -5*o + 15 = r - 5*r, 4*r + 23 = -3*o. Let b(g) = o*d(g) + 6*f(g). What is b(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 5. Let w = -207 - -203. Calculate s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64706 + -35287. What are the prime factors of k?\nAnswer: 13, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvwtvwvwtk. What is prob of picking 2 w and 1 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 403 + 255 = -2*o, -2*o = -4*a + 664. Let x = 331 + o. Solve -4*w = -0*k - k + 18, 4*k - x*w = 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 - 6*c. Let m be d(4). Let g be 16*(-9)\/(36\/(-16)). What is the greatest common divisor of g and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 608\/(-95)*(-10)\/4. Suppose 5*b = 4*t + 5799, 7*t = 11*t - r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3268 - -3173. Sort n, -0.1, 5 in decreasing order.\nAnswer: 5, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 725674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) 0.1 (c) -7 (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 36 = 12. What is the derivative of -65*j**4 - 19 + 82*j**i + 3 wrt j?\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -39. Let h = a + 4. Let t = h - 3. Is t at least as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996 minus -240782?\nAnswer: 235786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25698791689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101110100111101 (base 2) to base 8.\nAnswer: -356475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-975)\/(-3625))\/(3\/90) + -8.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 2*y + 4. Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + x - 34. What is the least common multiple of 18 and f(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 6*j - 6. Let q be (45\/6 + 0)\/(4\/(-24)). Let l = q - -52. Let d(x) = 6*x**3 - 7*x - 7. Determine l*w(r) - 6*d(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 - -722b?\nAnswer: 71a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)*h)**47*h**(-7)*h**(5\/4)\/h*h)**(-42\/5) assuming h is positive.\nAnswer: h**(-2149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 1, g: 1, t: 1}. What is prob of picking 1 p, 1 g, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 38.9. Let t = -2 - 1. Let k = -4\/9 - -1\/9. Which is the closest to q? (a) k (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (345\/161)\/((6\/(-48))\/((-7)\/(-12)*-1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 362, 595, 828?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from orrro?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1073112 or 1?\nAnswer: -5\/1073112","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 786, 3110, 6990, 12432, 19442, 28026, 38190?\n\"Answer: c**3 + 772*c**2 + c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 596486 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434907799.\nAnswer: 3, 8161, 33151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 v when four letters picked without replacement from gvggvgvlagvlg.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 56820.53 tonnes?\nAnswer: 56820530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*j**4*w**2 + 199*j**4 - 2*j**2*w + 11*j**2 - w**2 - 6*w wrt j.\nAnswer: 1464*j*w**2 + 4776*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.9903581 months?\nAnswer: 0.165863175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -108, -2, -3.\nAnswer: -108, -6, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -6, -3, 0, 3, 6?\n\"Answer: 3*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -22089.153.\nAnswer: -22087.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Let p = 1 - n. Suppose 0*d + 6 = -3*d. Are d and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 0.2 (c) -1.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14343790 divided by 9?\nAnswer: 14343790\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 10) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -303, -454, -603, -750?\n\"Answer: t**2 - 156*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 63*j + 6546. Determine t(-104).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7524*j**4 - 1 + 15548*j**4 - j - 7616*j**4 as s*j**3 + o + b*j**4 + w*j**2 + i*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 27 (c) -2 (d) 332 (e) 1.1 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 548316103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.81 + 0.19. Let x = -12 - -11.2. Let k = x - -1. Put b, -1\/5, k in decreasing order.\nAnswer: b, k, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -8 (c) 5 (d) 115 (e) 1\/6 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*g + 15*g - 93*g + (-2*g - 2*g + 3*g)*(0 - 1 + 0) + g - 4 + 4 + 4*g - 3*g + 3*g.\nAnswer: -209*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2. Let s(k) = -k**2 + 3. Let t = 23 - -3. Let f(a) = 26*a - 8 + 3*a**2 - t*a. Let h(z) = -3*f(z) - 8*s(z). Calculate h(d(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, -1, -110 in ascending order.\nAnswer: -110, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqz when three letters picked without replacement from qkzgffzjkjqk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 28 - 16 = 3*b, -2*c = 5*b - 60. Solve 2*x + c = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*l + 140 = -598*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l. Let m(q) be the second derivative of -q**3\/3 - 3*q. Give w(m(v)).\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455322.2 nanometers to millimeters.\nAnswer: 0.4553222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2705, 2704, 2703?\nAnswer: 2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63\/5 in -883, 0, -256?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151 and 3110.\nAnswer: 469610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a4 + 3?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-826)\/295)\/(4\/(-30)*-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**35\/u**(-17\/6) assuming u is positive.\nAnswer: u**(227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 75*n - 71 = -71*n, -3*n + 23 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 26 = -5*a. Let j(l) = 156*l + 25. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35598639?\nAnswer: 3, 11866213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (48 + 28168\/(-588))\/((2 - (-15)\/(-7))*-43)\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -34*c**3 - 5*c - 10. List the prime factors of g(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7939125 or 7939186?\nAnswer: 7939125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2529911974*q**3 + 1264955995*q**3 + 1264955975*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and -0.009.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzzxxzzzxz. What is prob of picking 2 x and 2 z?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + -0.8. Let q = o + 1.9944. Round q to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5703508.51 take away -883?\nAnswer: 5704391.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 31 + 0*n**3 - 19 - 2*n**3 + 4*n**4 to the form t + h*n + u*n**3 + q*n**2 + x*n**4 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 983788 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 10*a - 5*a - 7*a**2 + a**3 - 4. Let h be b(7). Let z = h - 22. Solve -10 = -2*c + z*n - 0, c = 4*n + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 + -276 + 3 - -3. Let w = 540 + v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 904 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 15*b - 70. Give o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(34)\/(1*sqrt(2)) - sqrt(17))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let m be n\/(-2) + 9\/2. Solve -3*y = -8*y - 2*q - 25, 0 = -y + q - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 117 = 381 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + 3*m**2 - 17*m - 1. Let g(a) = 4*a**3 - 5*a**2 + 35*a + 1. Calculate -3*g(t) - 5*y(t).\nAnswer: -2*t**3 - 20*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10853001 + -10?\nAnswer: 10852991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*t**3 + 124*t**2 - 1125*t + 19229207 wrt t?\nAnswer: -60*t**2 + 248*t - 1125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 660, 665, 674, 687, 704?\n\"Answer: 2*a**2 - a + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4026 divide 570005106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w - 5*l - 1825 = 0, -2*w - 3*l = -715. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2010122 + 10?\nAnswer: 2010132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3066 divided by 134?\nAnswer: -1533\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let o(p) = -172266*p. Determine o(d(y)).\nAnswer: -344532*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*o = 0, 2 = 2*o + 12. Solve n*k - 4 = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*3\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5 + 8*d**4 + 22*d**3 + 12*d**2 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-7 + 24 - 10)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/11)*d*d**(-7\/9)*d**(-30)\/((d*d*d**(-24))\/d) assuming d is positive.\nAnswer: d**(-689\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69618561 to the power of 1\/2, to the nearest integer?\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 1:45 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429781, -429698, -429611, -429520, -429425, -429326?\nAnswer: -429223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 307 = -4*q, 666933*x - 666934*x - 155 = -2*q for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = 126*b - 2220 + 8251 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7146*o**4 - 2676*o**2 - o?\nAnswer: -171504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2\/19)))\/g*g)\/g**15*(g*g**(-2\/9)*g)\/(g\/g**(3\/22)) assuming g is positive.\nAnswer: g**(-52595\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a88 (base 14) to base 11.\nAnswer: -1621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 87, 83, 61, 15, -61?\n\"Answer: -r**3 + 15*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1302\/(-1209) + ((-1)\/2 - 153\/(-234))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (830144\/4578)\/((-40)\/(-15)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 959289 or 959296?\nAnswer: 959289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -12.3. Let t = -4.92 + -0.08. Let g = t - r. Which is the second smallest value? (a) g (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (55 + -81) - (-22 - -2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149\/12 - 49\/4. Let a = -4.79 + 5.09. Sort 5, i, a in increasing order.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2\/2 + 8*f - 10. What is n(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 110. What is the second smallest value in 4, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2. Let f(a) = 49*a**2 - 28*a. Let v(o) be the first derivative of 3*o**3 - 5*o**2\/2 + 5. Let t(w) = 5*f(w) - 28*v(w). What is t(l(r))?\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 12035154?\nAnswer: -12035133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 30 = 0. What are the prime factors of 1\/5 + 38\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(-27)\/(s**(-9))**(2\/109) assuming s is positive.\nAnswer: s**(-5796\/545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11612 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 81 = 67 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfmggmbgmfmggbf. What is prob of picking 1 b, 2 f, and 1 m?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 206. Let w be t(-42). Solve 17 - 5 = w*q - 4*p, 5*q - 2*p = 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 203, -22 in decreasing order.\nAnswer: 203, 7, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 829537 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 1. Calculate the lowest common multiple of w(-3) and 1\/1 + 8\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 + 8 = 2*d, 5*x = -2*d + 24. Suppose 2*a = 4*h, -8*a + 3*a + 18 = -h. Solve 0 = a*t - d*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.83, -1.8, 0.4, 0, -0.4?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let r = 3462.6 - 3463. Which is the nearest to t? (a) r (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 388993, 388994, 388995?\n\"Answer: o + 388992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*h**6*m**2 + 11290*h**3*m**3 - 5*h**2*m**3 + h**2*m + h*m**3 - 2*m**3 + 171 wrt h.\nAnswer: -1560*h**3*m**2 + 67740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 12. Calculate the smallest common multiple of i and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5 - 0)*-5. Suppose k*i - 83 = -4*m + 43, 5*m + 265 = 4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2244\/(-11475) - ((-1024)\/100 - -10).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -63*t - 295. Let s(a) = 53*a + 296. Determine -5*d(r) - 6*s(r).\nAnswer: -3*r - 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 11872*y - 166192\/7.\nAnswer: -4*(y - 20774)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-30) - 4\/5. Let f(o) = -9*o**3 + o**2 - 9. Let u be f(g). Let r = u + 924. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1087, -0.4, -34, 0.444?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -44*b + 268. Let o be q(6). Suppose -20 = -o*i - 5*g, 2*i - 8 = -5*g + 2. Let a(f) = -3 + 5 - f - 3. Let k(w) = 9*w + 8. Calculate i*k(s) + 40*a(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -179. Suppose -5*f = -c - 97. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:51 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -46. What is the smallest common multiple of a and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -314 + 103?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 8, k: 8}. Give prob of picking 2 x and 2 k.\nAnswer: 196\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-25))\/((16\/10)\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.092 - 0.052. Which is the closest to t? (a) -1\/8 (b) -2\/15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-2736)*-3*-21*(-4)\/(-98)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 158*u**2 + 579*u + 324. Calculate d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-298)\/4)\/(2\/(-4)). Let d = 221 - r. Let s(k) = -1697*k + 18. Let l be s(0). What is the highest common divisor of l and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/15)\/k**(-2\/15)*(k\/(k*k\/k**0))**(-33) assuming k is positive.\nAnswer: k**(499\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 50930000 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 + 469. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + (-68)\/(-8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -122*s - 12673. Calculate o(-103).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-3)\/45 + 8\/20). Let b(k) = k - 2. Let v be b(5). Suppose -2*f - 54 = -x*i, 3*i - 6*i + 57 = -v*f. What is the lowest common multiple of 8 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbggp. What is prob of picking 1 p and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5014 and -16.4?\nAnswer: -82229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121244145 (base 6) to base 4\nAnswer: 20303123201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/238)\/((-774)\/(-2193))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7\/2))**(-11\/7)\/(j*j\/j**(4\/11)*j\/(j*j**12*j*j)*j))**(-25\/2) assuming j is positive.\nAnswer: j**(-9275\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 2, j: 2, r: 4, x: 1}. Give prob of picking 1 x and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 u when three letters picked without replacement from weuuwwuwuwuupu?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - s - 36 = 3*s, 4*s + 12 = g. Let a = 4 + g. Suppose a = 5*n - 10, -5*i - n + 36 = -3*n. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0*h**2 + h**2 + 6*h**2. Let q(o) = -o + 3. Let u(z) = -28*z + 72. Let j(r) = 120*q(r) - 5*u(r). Calculate d(j(t)).\nAnswer: 2800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.33142 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 599844 + 3072156. Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*r - 12 = 0, -4*s + 4*r - 11 + 27 = 0. Let y = 4 - 0. Suppose -y*d + 18 = -d. What is the remainder when d is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 258*o - 1012. Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2122 times -0.5?\nAnswer: -0.1061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -300 + 304. Let v = 0.02 + -4.02. Let w = 10 + -49\/5. What is the closest to w in s, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173471551 >= -173471553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 + 13*t - 17. What is l(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 2*s**2 + s. Let d be f(-1). Suppose q + 8*m + 6 = 4*m, 0 = q - d*m + 6. Which is smaller: q or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 22367180974066.\nAnswer: 22367180974066.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*g**3 + 381*g + 1 wrt g.\nAnswer: -864*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19688 - 24632*j - 9839 - 9848)*(-2 + 3 + 0) to the form l + k*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 54*a**2 - 2*a + 11. Let f(u) = 109*u**2 - 4*u + 24. Calculate 13*c(p) - 6*f(p).\nAnswer: 48*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57062624 + -75?\nAnswer: -57062699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135251230 (base 6) to base 15\nAnswer: 39c37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*u**3 + 6*u**2 - 1 - 2*u**3 + 3*u**3 + 9*u**2 in the form b*u**3 + s + z*u + c*u**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6*b - 2*b + 8)*(2 + 4 - 4).\nAnswer: -12*b + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-21 - -13 - -67)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -14*s + 1073220. Suppose s = -17*n + 182096. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1013 + -11023?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 65*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 8.97. Let k = -1.97 + r. Which is the biggest value? (a) 0.4 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 2. Let s be a(2). Let q = 16 - 21. Let r be q\/15*-1*2*9. Solve s = -3*u - 0 + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17053831 and -0.2.\nAnswer: -0.37053831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 + 583. Let d = m - 357. Solve -w - 3*w = -4*j, -2*j + d = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420041050 a multiple of 4519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-16))\/(20074\/(-4) - 1). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m + 2. Let r = 56 + -38. Let u = r - 10. What is the lowest common multiple of u and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12) + 1168\/(-96). Let l(s) = 5*s**2 + 51*s - 8. What is the lowest common multiple of l(n) and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -30. Let b(v) = -3*v**2 + 11*v - 3. Let c(y) = -y**2 + 5*y - 1. Let w(s) = 2*b(s) - 5*c(s). Give w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5516 + 5421 = 19*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 41428896*c + 143029451981568.\nAnswer: 3*(c + 6904816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 10*i - 2. Let p(c) = -c**2 + 23*c + 559. Let o be p(38). Give v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/79 or -1772?\nAnswer: -1772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 1)*-5 - (sqrt(847) + (sqrt(847) + -1*sqrt(847))*-4))**2.\nAnswer: 660*sqrt(7) + 30517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 10017?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2 + 3, 0 = -4*m + h + 41. Let l(d) = d**2 - 7*d - 8. Let z be l(-7). Calculate the highest common factor of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 293832.0097\nAnswer: -293831.5097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.45738*-61.39\nAnswer: 28.0785582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-16)*-2 + 5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 12}. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-2 - 0) + -3). Suppose t + 24 = p*t. Sort -1, 3, t.\nAnswer: -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 2 - -17 - ((-5 - -11) + -5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -10) + (28 - 27) + 7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(3\/5)*c)\/((c*c*c**(2\/17)*c*c)\/c) assuming c is positive.\nAnswer: c**(41\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-6) - -3)*2. Suppose -2*z - 5 = -i. Let t(c) = -1. Let y(n) = -5*n + 1. Let g(v) = -4*t(v) - y(v). What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -271, -265, -263, -271, -295?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**3 + 13*g - 4. Let t(u) = 82*u**3 - 2 + 83*u**3 + 6*u - 169*u**3. Calculate -6*r(h) + 13*t(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -382, -776, -1182, -1600, -2030?\n\"Answer: -6*r**2 - 376*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 11, -8, -45, -106?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let p(u) = -u**2 + 14*u - 9. Let d be p(10). Suppose 0 = -5*k + d + 4. Solve a = 3*w + 4*h - 1, -2*w - 5*h + 3 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**2 - 2*n + 23. Let c(o) = -5*o**2 + o - 12. Give -7*c(k) - 3*u(k).\nAnswer: 2*k**2 - k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -25*q - 843. Let i(f) = 1914*f**2. Determine z(i(a)).\nAnswer: -47850*a**2 - 843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116564749 and 26024?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/111040 and -41\/1888.\nAnswer: 6551360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 648346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = n, 2*l + l = -5*n + 5. Suppose -l*r + 2915 - 1050 = 0. What are the prime factors of r?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536660748?\nAnswer: 2, 3, 13, 23, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -6669597?\nAnswer: 6669596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 176715.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -20 (b) 0.1 (c) 1\/4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584) - (sqrt(396) + -1))**2 - (-4 + (sqrt(891) - (sqrt(891) + -1)) + 3)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**3\/3 - 2. Let v(b) = -10*b - 1 + 1. Let n(w) = -9*w. Let o(j) = -3*n(j) + 2*v(j). Give l(o(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**3*z - 8591*y**3 - y**2*z - 8*y**2 + 425*y*z wrt y?\nAnswer: 18*z - 51546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k. Let m be j(1). Suppose -m*y + 12 = -21*y. Put 3, y, 5, -0.3 in ascending order.\nAnswer: y, -0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.88, -0.1, -34, 2, 4, 2\/13 in increasing order.\nAnswer: -34, -0.88, -0.1, 2\/13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q - 104*q = x - 16, 22 = 5*q + x. Solve -31 = 5*g - 6*s, 4*s = q + 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*v + 2 - 17, 2 = -2*v. Suppose c*p = -2*s, -4*p = -s + 5*s. Let l(w) = -w**2 - w + 5. Give l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*3)\/sqrt(2).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-8)\/6))\/(1284\/(-24) + 70).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4006 and 3788.\nAnswer: 7587364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 17. Let q = 3 - 4. What is the remainder when p is divided by (q - 6\/(-4))*14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 197 = -4*d, -n = -4*n - 4*d + 131. Let a = 1992 + -1926. Calculate the remainder when a is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -14. Solve -5*m - 15 = 0, m - l + 0 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnd. Give prob of picking 1 x and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 43 + 75 + 3028*l**2 + 14*l**3 - 3026*l**2 to the form i + v*l + s*l**2 + n*l**3 and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*u = 11*u - 168. Solve 3*s - z = -8, u*s = 3*s + 3*z - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-90)\/120)\/((-12)\/176). Let o be 28\/5 + (-4)\/(-10). Let l be 129\/o - 1\/(-2). Calculate the highest common factor of w and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-2)\/2*7. Suppose -6*c + 2*c + a = 0. Suppose b - c = 1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2246872 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*y**4 + 3*y**4 + 8 - 5*y**4 wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 8) to base 10.\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.13924, -0.2?\nAnswer: 0.13924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*r = 5 + 10, 8 = -4*f + 5*r. Factor 2*q**f + 4 - 3*q**2 + 11*q**2 - 3*q - 7*q - 4*q**3.\nAnswer: -2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(240))\/sqrt(6) + sqrt(40))\/((sqrt(56)*2)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 - s - 6. Suppose -10 = 2*q, -q = 5*o + 2 + 18. Determine h(o).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(0*j**4 + 4*j**4 - j**4) - 22*j**4 + 22*j**4 - 15*j**4.\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1279801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-1)\/h))*h)**22*((h*h\/(h**(-1)*h))\/h)**(-26))\/((h**(-1\/11)*h**(-2\/7)\/h*h)\/(h\/(((h**(2\/7)\/h)\/h)\/h)*h**(2\/11)*h)) assuming h is positive.\nAnswer: h**(-470\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 12 = 3*q. Suppose 4*c - 4 = -0. Let m = q - c. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/28)\/(3\/(-8)). Suppose -5*d + p + 4*p + 20 = 0, 5*d + 3*p - 28 = 0. Let v(r) = -3*r**a + 3 - 4 + r**3 + d - 4*r**2. Calculate v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128105 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/7, -1, -4, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 29*u**2 + 429*u - 85. Determine i(-18).\nAnswer: 1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -33406*q. Let v(d) = 13*d. Determine v(k(m)).\nAnswer: -434278*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 70*d + 204. Calculate n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/5))\/(i*i\/(i*i**(-2\/21))))\/(i\/(i**(-1\/3)*i)*i*i**(-2\/3)))**28 assuming i is positive.\nAnswer: i**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 11*l = -144. Suppose 0 = l*z - 35*z - 367. Suppose -z = -5*u - 37. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6731 and 99163?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10000000?\nAnswer: 10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + -2 + sqrt(80) + -5 + (1 + sqrt(30)\/sqrt(6))*1) + 0)**2.\nAnswer: -1750*sqrt(5) + 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:55 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let h(f) = 7*f - 3. Suppose -7*i = -3*i - 4. Calculate i*h(r) - 6*m(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 325*t**2 + 923*t + 13838. Determine q(322).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260)\/sqrt(20) - (sqrt(156)*-2)\/sqrt(3)) + -4 + 0 + sqrt(1053) + 5)*-2)**2*6.\nAnswer: 672*sqrt(13) + 61176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 51 - 80 - 4 - 95 + x**3. Let l(o) = o - 2. Calculate l(f(t)).\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -3*x - 4, x + 20 = -4*d. Let a(i) = i - 4*i**2 - 9374*i**3 + 5 + 8*i**2 - 1. Let u be a(x). What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 - 4*j - 6. Let i be f(-4). Let o(h) = -h - 10. Let t be o(-5). Let q be 8*1*t\/(-2). What is the greatest common divisor of q and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 428\/5 - 86. Put o, -0.9, 1\/6 in decreasing order.\nAnswer: 1\/6, o, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178\/9*h + 2\/9*h**3 - 116\/9 - 64\/9*h**2 = 0 for h.\nAnswer: 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 219*d**2 - 4*d - 24. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v + 29*v - 31*v - 6*v**2 + 7*v**4 + 1 wrt v?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d - 170. Let o(k) = k**3 + 49*k**2 + 140*k + 118. Let j be o(-46). Determine v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272563 is divided by 136080.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + m)*(3*m - 11*m + 5*m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**2 - y**2 - 3*y**2 - y**4 + 10*y wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/8 + 2)*6. Let h be ((q - -3) + 0)*-1. Solve a + h*a = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 0.04 (c) 63.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*f**6 + 3*f**5 + 8*f**4 + 2*f**2 - 11*f + 17?\nAnswer: -2880*f**3 + 180*f**2 + 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 69.106 + 1289\nAnswer: 1358.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 842 + -695. Calculate the lowest common multiple of j and 3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajga. Give prob of sequence gj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 3498899*o**2 + 3*o - 7239356*o**2.\nAnswer: -10738255*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 3, -0.8, -108.5, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 121 = -148. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - 1.3. Do 1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 116294.\nAnswer: 5\/116294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1515 - 799 = -4*z + 2*g, -z + 5*g = -601. What is the remainder when z is divided by 288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 838\nAnswer: 1\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1716 and 2860?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171482.\nAnswer: 2, 179, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 4311 = -42*w + 3*y, w - 2*y - 4326 = 0. What is the highest common divisor of w and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4050402 (base 6) to base 4.\nAnswer: 233023202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18444 - 1.85384. What is w rounded to 2 dps?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**2*x**5 - 15*i**2*x**3 - i**2*x**2 - 2*i**2 + 30*x wrt x?\nAnswer: -300*i**2*x**2 - 90*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 11) + 2 + 4 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 649 = -766 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6037 divided by 1.\nAnswer: 6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4929, -6413, -7897, -9381, -10865, -12349?\nAnswer: -13833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5727)\/(-391) - 12\/(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 3*x**2 - 15*x + 16. Let n be w(5). Let y(v) = -v - 8. Let t be y(-6). Put n, 3, t in ascending order.\nAnswer: n, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 = m - a, 0*m - 4*m - 5*a + 2228 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17727*o**3 - 34409*o**3 + 17137*o**3.\nAnswer: 455*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.239551 tonnes to grams.\nAnswer: 4239551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*o + 2*o - 2, -4*o + j = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 20*f**2 - 5*f - 48. Is 64 a factor of p(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/17))**(-1) assuming r is positive.\nAnswer: r**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Suppose 3*i = -7 + 1. Let s(v) = -42*v - 506. Let d be s(-12). Let c(r) = -4*r**3 + r. Determine d*f(h) + i*c(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -4*u - 60. What is the highest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:01 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -9. Let h = -19 + r. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from ndrnwwdrwnrdawnd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 10. Let f be g(-16). Suppose -5*d + h = -68, -d + f = -5*h + 2. What is the greatest common divisor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.278 + -2.578. Which is the closest to 0.7? (a) k (b) 6\/7 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13133093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 13560*b + 13559. Determine q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(832) + 0 + sqrt(832) + 5 + 4 + -4 + sqrt(117) + 0 + sqrt(117) + sqrt(117))**2.\nAnswer: 50*sqrt(13) + 8126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 670963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.426729 to 3 dps.\nAnswer: 2.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3 + 5. Let t be -26*(3\/6)\/1. Let k = t + 27\/2. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*k + 49 = 4, 2*n + 12 = 4*k. Suppose 0 = n*y + 1 - 61. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 167. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 789*b**2 - 2370*b + 11. Give v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 1. Let c be h(-1). Suppose 3*p = -4*s + 35, 3*p + 0 - 10 = s. Let a be (-6)\/(-5)*(-3 - 4\/12). Sort c, s, a in decreasing order.\nAnswer: s, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1524\/245 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 4, -153885.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1163032 centuries to months.\nAnswer: 139.56384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*u + 53 = f, 0 = 4*f + 2*u - 34. Let i be (-64)\/(-4) - (f + -8). Which is the third smallest value? (a) 2\/17 (b) i (c) -3\/8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z - 2. Let d(w) = w**3 - 2*w**2 + 3*w - 3. Let j be d(2). Let i(y) = -4 + y + j + 2*y. Determine i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, -3\/8, -4\/5, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -5, -16, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/15, 8 in decreasing order.\nAnswer: 8, 2\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.2 - -83.6. Let x = v + -26.40000855. What is x rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/120 and -53\/14640.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 78, 129, 190, 261?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 - 17*z + 11*z - 1381 + 7*z in the form r + g*z and give r.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 9, n: 7, h: 2, g: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655, -1316, -1977, -2638?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(2299) - -2*sqrt(2299) - sqrt(2299) - sqrt(19)))**2 - sqrt(76)*5.\nAnswer: -10*sqrt(19) + 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40468 - 5665591\/140. Let w be -2 + 109\/28 + -2. Let j = v - w. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 42, 69, 98, 129, 162?\n\"Answer: t**2 + 22*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46528 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554 and 2.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -201*d - 3 - 2*d**2 + 203*d + d**3 + 11*d**2 - 5. Let p(n) = -5*n - 10. Calculate the remainder when s(-6) is divided by p(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -359872*s**3 + 168*s - 14 wrt s?\nAnswer: -2159232*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f + 4. Let r(v) = -24*v + 89. Let l(g) = 19*g - 77. Let b(k) = -7*l(k) - 6*r(k). Calculate 2*b(z) - 3*t(z).\nAnswer: -14*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4.86, 5, 219, -4, 3 in increasing order.\nAnswer: -4.86, -4, -2, 3, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1409 - -1529. Calculate the smallest common multiple of 168 and y.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12121125 (base 7) to base 14.\nAnswer: -201c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 4 + 8 + 12 to b*q + z and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1445912 by 55612.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 4*m - 41 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 414 + 1338. Let g be (11\/p)\/(6\/16). Which is the third biggest value? (a) 0.4 (b) g (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 - 276. Which is the biggest value? (a) -0.2 (b) p (c) 5 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2693, -10809, -24351, -43325, -67737, -97593, -132899?\nAnswer: -173661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1880 divide 5702040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.06, -2, -0.5, -2\/9 in descending order.\nAnswer: -0.06, -1\/5, -2\/9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1782352 and -83\/1782352?\nAnswer: 1782352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**3\/2 + 29*y**2 + 13*y - 1. What is the remainder when p(-19) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1412135420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 671*w - 36900. Let u be m(55). Let d(t) = -3 + t - 2*t**2 + 11*t**2 - 4*t. Let a(j) = 5*j**2 - 2*j - 1. What is u*a(r) - 3*d(r)?\nAnswer: -2*r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -138165 divided by -3?\nAnswer: 46055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1.171 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 203936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13*a = 18*a - 4, -20 = -5*c + 4*a. Solve -54\/17*q**2 - 2\/17*q**c + 18\/17*q**3 + 54\/17*q + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30701*s**2 - 2155*s**2 + 2215*s**2 + 4644*s**2 + 10008*s**2.\nAnswer: 45413*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. Suppose -4*t + 12 = 4*u, 3*u - d*u - 13 = 4*t. Suppose u = -2*z - 3*z. Is z less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h - 1. Let s be q(-7). Is 37 a factor of (167 + s)*1\/(-1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264*a + 4894*a + 224*a + 5706*a.\nAnswer: 8560*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17*a**2 + 8*a + 31. Let v(i) = -i. What is c(v(z))?\nAnswer: -17*z**2 - 8*z + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -841*n**3 - 9*n**2 + 4*n - 2. Let l(a) = 2*a**3 - 2*a**2 + a - 1. What is -k(x) + 2*l(x)?\nAnswer: 845*x**3 + 5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/(-9) - (-32)\/(-24))*3. Let d(n) = -33*n - 12. Let g(j) = -8*j - 3. Give a*g(q) - 5*d(q).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6838209 and 1358?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16681.92265 rounded to one decimal place?\nAnswer: 16681.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -10. Suppose 6*y + 12 = 4*y. Let h = y + i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334551.\nAnswer: 3, 7, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1197 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orx when three letters picked without replacement from oouuuxoooru.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571152275?\nAnswer: 3, 5, 7, 11, 19, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (719 + 34*w**2 - 719)*(-79*w - 11*w - 48*w) - w**3 + 2 - 2 as k + i*w**2 + u*w**3 + z*w and give u.\nAnswer: -4693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200111002 (base 3) in base 16?\nAnswer: 1682f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4*l - 2*l + 0*l) + 0*l - 2*l + 4*l + (177 + 458 - 9)*(-4*l + 8*l - 3*l).\nAnswer: 632*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -29*j**2 + 88*j + 861. Determine z(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8999 - ((-4)\/(-1) + -3). Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.00026 + -31. What is c rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9))\/(5\/(-139 + 4)). Let u be 9\/(i\/12 + 0). Solve -q - q = -4*r - u, 0 = -r + 2*q + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*w + 3*w + 264 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27549, -54254, -80971, -107706, -134465, -161254?\n\"Answer: -y**3 - 26698*y - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10875 to 2 dps.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 25 = 4*u, 0 = -4*k + 2*u + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 1018, 3286, 7676, 14896, 25654?\nAnswer: 40658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 55 - 131. Let a = s + -36. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d. Let b(c) = -32*c**2 + 2. Determine b(a(k)).\nAnswer: -2592*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 + 9 = 0. Let p be (-5)\/z*(-64)\/40. Suppose -2*b = 2*l - p, l = -2*l + b - 2. Solve -5*c - 20 = -l*r + 3*r, 2*r = 2*c + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273\/10 + -134\/5. Let y = 13.2 - 13. Which is the smallest value? (a) y (b) 0.3 (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3340 - -3355. Calculate the remainder when h is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -30, -5, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 t, and 1 d when four letters picked without replacement from {t: 8, d: 3, w: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, o: 2}. Give prob of sequence fp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(4\/18). Suppose -k = 3*o - 14, 5*k - 3*o + 30 = 7*o. What is the third derivative of 5*p**k - 7*p**3 - 3*p**t - 30*p**2 wrt p?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -0.1, 135, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3622.94239 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n - 9*n - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/60*231\/126)\/(40\/15)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 23, 16, -9, -58, -137?\n\"Answer: -s**3 + 12*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -27932 (base 13) to base 8\nAnswer: -220517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 79*g**2 + 228*g + 15. Calculate the lowest common multiple of c(-76) and 104.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71\/2*p**2 + 204*p + 3\/2*p**3 - 72 = 0.\nAnswer: -12, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19242 and 204952956.\nAnswer: 6414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 8*p + 7. Let t(u) = u**3 + u + 1. Let s(c) = -d(c) + 5*t(c). Let a(f) = f**3 + f**2 - f - 1. What is 3*a(w) - s(w)?\nAnswer: -2*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.3683 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f - 1. Let p be l(1). Let k = p - -2. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12)**(3\/11) assuming a is positive.\nAnswer: a**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**3 - 6*r**3 + 0*r**3)*(2 + r - 2) + 151*r**4 - 165 + 165 to the form l*r**4 + p*r + s*r**2 + a*r**3 + m and give l.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -92, -128, -202, -326, -512, -772?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 825598144 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/780*-6)\/(2\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 1, e: 8}. Give prob of sequence eere.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10\/3 (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*h - 946*h + 73 = 4*a, 16*a - 254 = -3*h + 33 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 785492.\nAnswer: 3927460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 108 = -7*c. Solve 2*x = -2 - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 24*g + 39. Let i be h(20). Let l = -35 - i. Calculate the least common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(75\/(-18)))\/((-64)\/80)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/12 - c**3\/6 - c**2\/2 - 5*c. Let m be k(0). Let g(u) = 2*u**2 + 1. Determine g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -477 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 8. Let n be r(-1). Suppose 0 = n*j - 115 + 45. Find the common denominator of j and 51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54558, -2, -1\/118?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -2*k**3\/3 - 2*k. Let i(a) = -4*a**2 + 1. Let v(u) = -u**2 + 1. Let n(r) = i(r) - v(r). Calculate n(b(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 482262629\/22 + -21933462. Let f = -12429 - n. What is the common denominator of 43\/18 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 682 by -1.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 46674450*t**2 - 181541836868931*t - 1452337682117784.\nAnswer: -3*(t - 7779079)**2*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q)**(4\/33)*(q*q**(-5\/2)*q)\/q*q**(2\/13)*q assuming q is positive.\nAnswer: q**(-89\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t + 26*t - 0*t - 273 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385 divided by -277?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5*t + 5, -4*t + 2*f - 3 = 5*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 0*w**3 + 2*w**3 - 29*w + 28*w to t*w**2 + x + m*w**3 + c*w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.7. Let o = 105 + -156. Let m = o - -50. What is the smallest value in n, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -36*x**2 - 2302*x + 134. What is the least common multiple of p(-64) and 2056?\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**15\/n*n)\/(n*n\/(n\/(n\/n**(-2\/3))*n)) assuming n is positive.\nAnswer: n**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 1, l: 1, o: 1, a: 5}. What is prob of picking 2 a and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 80. What is the lowest common multiple of b and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/60 + (-2)\/10)\/2. Suppose 6 = 3*h - f. Suppose -t - t = -5*k + 1, h*t + 2*k - 34 = 0. What is the remainder when 214 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-6)\/(-60)). Let q be (6\/(-4) - 0)*-2. Let s be 3\/2 + (-1239)\/882. Which is the nearest to 0.1? (a) q (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + z)*(0*z**2 + 2*z**2 + z**2)*(-3*z + 0*z + 2*z)*(1 + 3 - 2) as b*z**3 + k + w*z**4 + t*z + q*z**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 169119111.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342\/115 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65382 is divided by 227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3426377*g*h**2 + 2*h**2 - 2692*h - 15 with respect to g.\nAnswer: -3426377*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 4*w. Let c be (6\/8)\/((-7)\/(-140)). Suppose c = -3*z - 0*z. Let s be m(z). What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 5:10 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000058899 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 6 + 7 + 2*o**2 - 4*o**3 to the form i + u*o + y*o**2 + j*o**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qjhjhqhjhhjq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025*h - 2024*h + 9*q = 802, 3*h + 264 = 3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 757780.5l?\nAnswer: 757780500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 3*q - 2. Let b(r) = -3*r**3 + 3*r**2 + 49*r. What is b(a) - x(a)?\nAnswer: -a**3 + 3*a**2 + 46*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 34*c = 32913. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 17*v - 2. Determine x(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(-6))\/(-29) - (1 - 1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:20 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -82?\nAnswer: -53\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -27*b + 3366. What is the least common multiple of 20 and b?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13694 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Let n(s) = s**2 + s - 4. List the prime factors of n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y**3 + 7*y**2 - 7*y + 3. Let q be (44\/(-99))\/(5\/(-45)*-2). Let j(k) = -6*k**3 - 2*k**2 + 2*k - 1. What is q*t(m) - 7*j(m)?\nAnswer: 8*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-8)\/16)*(1 + -1). Suppose -3*z - 5*d = -3*d + 141, s = -z + 5*d - 30. Which is greater: z or -46?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - p - 94752, -3*k + 71065 = -358*p + 357*p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -312*d - 274. Let p be c(-1). Let j(b) = b**2 + 6*b + 3. Let g be j(-6). Suppose y - p = n, y - 4*y = g*n - 132. Is y equal to 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 1)*(-70 - 7534*f**3 - 2*f**5 - 128 + 7535*f**3).\nAnswer: 12*f**5 - 6*f**3 + 1188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let n = 5.28 + 0.22. Let f = n + -6. Which is the closest to 0? (a) o (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 174*d**2 - 274*d + 840. What is the lowest common multiple of 22 and l(3)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, b: 4}. What is prob of picking 1 b and 2 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250901539?\nAnswer: 3, 103, 2428157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395301077?\nAnswer: 19081, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 25*r + 63. Let g(k) = -9*k - 23. Let m(w) = -4*d(w) - 11*g(w). Let y(n) = -6*n + 8. What is 3*m(t) - y(t)?\nAnswer: 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 + 2*w. Let y be n(2). Suppose -12 = 3*l - 2*k + 1, y = 4*l + 4*k + 4. Let j = l - -2. Are 1\/6 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.47 - 1.47048. Round p to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525543 is divided by 104?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - (-5 - -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 150*v**3 + 146*v**3 - 295*v**3 - 2*v**2 + 22 - v to the form f*v + o*v**4 + l*v**3 + w + p*v**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 9*s - 7. Give w(13).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 7, o: 3}. What is prob of sequence booo?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -68. Let s(b) = 4*b + 1 + b**2 + x - 5. What is s(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + 2 + 1*sqrt(80)*-2 + -3)**2*-4.\nAnswer: -1380 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -30, -25, -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/281 greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2025 - -2918. Calculate the greatest common factor of 47 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421 - 424. Let q(i) = 5*i**3 - 45*i**2 + 109*i - 72. Let j(t) = 10*t**3 - 90*t**2 + 216*t - 143. Let z(d) = b*j(d) + 7*q(d). Solve z(s) = 0 for s.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150444 and 7308.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from fnlflglflfl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -142467 (base 8) in base 15?\nAnswer: -ee5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8968 - -807091\/90. Find the common denominator of 349392\/83520 + 3\/6*(-2)\/3 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*r + 2903*r + 138732 = 0 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Let a(q) = -q**2. Let t(p) = 15*p**2 + p + 2. Let b(v) = -3*v**2 + v. Let d(j) = -3*b(j) - t(j). Give k*a(l) - d(l).\nAnswer: 2*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b. Let i be l(0). Suppose -5*q = 3*n - 63, i*n + n - 1 = 0. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/4)\/1)\/((-372)\/248)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1570\/(-2198) - (-1360)\/(-56).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hek when three letters picked without replacement from {e: 1, k: 1, t: 1, h: 1, l: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 8. Let r be j(-10). Let q be r\/2*(13 - 5). Solve -4*g = -5*w + 2, 3*g - 2*w - 19 = q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720) + 3)**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from jjjjjjjjjjjjjjjjjjjf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/4 - 5613*x**3.\nAnswer: -3*x**3*(x + 7484)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/2*(1 + -2). Let n = -1826 + 1830. Solve -z*v + 6 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 18}. Give prob of sequence kcc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 37*d**2. Let i(k) = -3*k + 7. Give t(i(o)).\nAnswer: 333*o**2 - 1554*o + 1813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 9*m + 17 + 12 + 8*m - 362*m**3.\nAnswer: -362*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, -0.2, -2\/63, 1980, 0.4?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 300*r + 807. Let p(o) = 30*o + 81. Let c(h) = -21*p(h) + 2*w(h). What is the remainder when c(-9) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 10*y**2 - 15*y - 15. Let z be u(8). Let g = z - -16. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -244279, -244405, -244609, -244891, -245251, -245689?\n\"Answer: -39*j**2 - 9*j - 244231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -41975178, 0, -3\/5?\nAnswer: -41975178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6 = s, 3*s = -4*b - 11 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/24 - 5*u**5 + 2*u**2 - 4*u. What is l in n(l) = 0?\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*y**4 + 732 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(45) + sqrt(45)*-1)**2*-2 + (sqrt(45) - (sqrt(2205) + -1 + sqrt(2205)))).\nAnswer: -2 + 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(768)*-2 + -4*sqrt(972))\/((sqrt(726) - (sqrt(726) - -4*(sqrt(726) - ((sqrt(726) - 2*sqrt(726) - sqrt(726)) + sqrt(726)))))*-3))**2.\nAnswer: 289\/3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 450 and 446 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-271)\/((-264)\/(-268) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11 - 447*i + 213*i - 2*i**2 + 200*i. Give p(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*o - 31 = 346*o - 703*o. Solve -o = -3*z - 34 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909932 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 47. Let z = 2 - -23. What is the remainder when z is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -271*m. Let i(d) = -762584*d. Determine i(t(w)).\nAnswer: 206660264*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 5, -10, -29, -52?\n\"Answer: -2*y**2 - 5*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + -10. Let x be (24\/v)\/((-6)\/285). Suppose 0 = 4*z - 7 - x. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14214 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3037357 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 208837.8*6\nAnswer: 1253026.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*(143 - (95 + 46)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -302435053?\nAnswer: 302435101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*(18 - 1804\/99)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h + 1. Let b be -1 - -1 - -3 - 2. Let d be s(b). What is the derivative of -c + 6*c + 2*c + d wrt c?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -44 + 12 + 119?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 - 5*i + 7. Let s be w(5). Let k(f) = f - 9. Give k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 - 13*u**3\/6 + 7*u**2\/2 - 11*u. Let q = 9 + -22. List the prime factors of a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1550 (base 15) to base 2.\nAnswer: 1000111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, v: 2, x: 4, r: 1}. What is prob of picking 1 v and 1 x?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 8*r - 3*d = 220403, -4*d = r - 55115. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wts when three letters picked without replacement from tsw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -160400 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 9*t + 17. Let z be b(-8). Suppose 20 + z = 3*r. What is the third derivative of 4 - 2*w**2 - 8*w**6 + r*w**2 - 4 wrt w?\nAnswer: -960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c + 183795 = 178998 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 71117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481 - -1010. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/3 - 108*s**5\/5 + 78*s**4 - 308*s**3\/3 + 51*s**2 - 1256. Let j(x) = 0. Calculate x.\nAnswer: 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, -4, 2\/3, 10, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98450325?\nAnswer: 3, 5, 437557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13951.\nAnswer: 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:48 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3129 or -3136?\nAnswer: -3136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -24471 less than -24471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 12. Let f be x(-4). Suppose f*d = -3*d + 2451. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 22, -452, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02608701 rounded to five decimal places?\nAnswer: -0.02609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, 1 z, and 1 u when four letters picked without replacement from {e: 3, z: 1, y: 1, u: 1, m: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45460211 - -3?\nAnswer: 45460214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -782.6 + 782.3. Which is the closest to 6? (a) -1\/4 (b) 5 (c) -2\/5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/((o**(-8)*o)\/o*o)*o)*(o\/(o\/(o\/o**(-30))))\/o*(o*o**(-9\/5)\/o)\/(o*(o\/o**(16\/9))\/o*o*o*o*o) assuming o is positive.\nAnswer: o**(719\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0529778+162254.6\nAnswer: 162254.5470222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95.9 - 101. Let x = c - -9.1. What is the fourth biggest value in x, 1\/6, 0.4, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 879 by 293.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(414*h - 1497*h + 3681*h + 4289*h).\nAnswer: 13774*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33.43624 meters?\nAnswer: 33436.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2402212\/21 - 114312. Let d = -79 + r. Do d and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.839 + -0.061. Let v = a - -3.42. Round v to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(0*m - 4*m - 10*m) - 3*m + 11*m - m to the form o*m + h and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a millimeter in micrometers?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61946176 is divided by 8773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:39 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:17 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485434283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -53532 (base 7) to base 2\nAnswer: -11001111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97003\/66325 + -864\/379. Let k = -3\/175 - t. Which is the closest to 1? (a) -0.5 (b) k (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12422 + -12213. What is the smallest common multiple of 154 and o?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**3 - p**2 + 1. Let r be u(1). Suppose -12 = -r*y + y. Suppose 4*g + 0*h = y*h - 16, 0 = h. Let n(z) = -z**3 - 5*z**2 - 2*z + 4. What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/23 + 45371832*n\/23 - 257325392379528\/23.\nAnswer: -2*(n - 11342958)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22*q + 333. Let i be b(15). Find the third derivative of i*f - f**3 + 29*f**2 + 0*f**3 - 5*f - f**3 + 223*f**4 - 205*f**4 wrt f.\nAnswer: 432*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*k = 5*k - 13844, 0 = -k + 3. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323202322 + -221?\nAnswer: -323203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 102*a - 47. Let d = -177 - -182. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/12*g**4 + g**3 + 0*g + 0 + 2*g**2. Does 6 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 883185 and 5820.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33025, -132225, -297561, -529033?\nAnswer: -826641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 5163730?\nAnswer: 5163728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 + (-1460)\/(-100) + (-52)\/(-5). Solve b*x + 16 = 61 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p - 222 = 8*p. Let c(h) = -6*h + 9 - 1 + 12. What are the prime factors of c(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953187479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (129\/27)\/1 - 12\/(-54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y + 3*y - 4*y + 11*y**5 - 8*y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/65)\/(9\/15)*594\/(-108).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 21. What is the lowest common multiple of (-4)\/(-6)*9\/b*3 and (-5)\/(-1)*9\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120 - (775 - -85)\/(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:26 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 6615863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 7. Let m(b) = -b**2 - 4. Let s = 8 + -4. Let a be 8\/(-4 - 0) - 5. Let d(t) = a*m(t) + s*v(t). Let i(z) = -4*z**2. Calculate i(d(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, a: 1, d: 1, b: 3, q: 4}. What is prob of picking 1 q, 1 b, and 1 a?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -77. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3754685 is divided by 1883?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 8*g + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 4*v - 7. Let g = 5 - -2. Does 14 divide c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-49))\/(((-8)\/(-14))\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdph when four letters picked without replacement from eheeeepepdh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 20 + -34 + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 - (-358680)\/5040?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -336042661 - 0?\nAnswer: -336042661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a + 449 - 379. Let w be 1\/3 - 5\/15. Sort a, w, -7, 5.\nAnswer: -7, a, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1434 and 486.\nAnswer: 116154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 0, -5*x + 236 = -5*k + 3*k. Let g = 106 + k. Calculate the common denominator of g and 53\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdyfjcncycfcjcc. Give prob of picking 1 j and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 373.5 and 86.\nAnswer: 459.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6843*o - 174983 + 595680 = -318347 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408 + -406. Solve 0 = y*b - 3*b - 1, 5 = 3*j - 5*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0127 in -0.1, 5, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - g**5 + 2*g**3 + (4 - 5 - 1)*(0*g**5 + g**5 + g**5) + (-38 + 38 + 8*g)*(124*g**4 - 527*g**4 + 216*g**4).\nAnswer: -1501*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2 + (-1 + 2 + 1)*(-11 + 5 - 1))*(-6*a - 3*a + 2*a).\nAnswer: 126*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 3) + -4 + 2 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p - 1. Let w be a(-3). Suppose -2*y - 2*y + 5*b = -49, 0 = 3*y - 5*b - 38. Solve -w*k + y - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*d = -16, 0 = 49*a - 4*d + 3*d - 246 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -143. Let y = 0 + 2. Suppose 7*k = -y*k + u. What is the highest common divisor of k and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48626, 97246, 145864, 194480, 243094?\n\"Answer: -p**2 + 48623*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 4188*w**4 - 21054*w**3 + 54660*w**2 - 29421*w = 0. What is w?\nAnswer: -7, 0, 1, 1401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + 139*(-39)\/(-15). Let r = -352 + h. Solve -r + 1 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 36 (c) -0.5 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446014.\nAnswer: 2, 223007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57228?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -539 - -564. Calculate the highest common divisor of 5725 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -173*f**2 - 9509*f + 187. Calculate m(-55).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 13*g - 11*g - 4*g - 2*g + 7*g + (2 - 1 - 3)*(g + 2*g - g) + g - g + g + (0 - 3 + 1)*(0*g - 3*g + 2*g))*(0 - 3 + 1).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46723426 (base 8) to base 7.\nAnswer: 152464046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -21 in descending order.\nAnswer: 2, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-570*u - 546*u - 4*u**2 + 1009*u)*(2*u**2 + 1 - 1 + (1 + 1 - 4)*(-2*u - 2*u**2 + 2*u) + 0*u**2 - u**2 + 0*u**2) + u**4 + 0*u**4 + 0*u**4.\nAnswer: -19*u**4 - 535*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 1\/2. Let g = -172 + 175. Solve n = j + g*n - 1, i = 4*j - n + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-52)\/16)*(-16)\/(-90).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -235, -301, -367, -433, -499?\n\"Answer: -66*o - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -13, 0.1624, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let a(k) = -77*k + 4. What is i(a(m))?\nAnswer: -154*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = u - 5*d, 3*u + 4*d + 0 = -3. Let k = 3 - 2. Suppose -3*p = -5 - k. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(2268) - -1*sqrt(2268)) + 1)**2.\nAnswer: 720*sqrt(7) + 45380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 48117 = -5*g, -87*g + 28852 = -84*g + 2*q. Is 149 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 128, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 72*h**2 + 61*h + 881. Let w be d(73). Sort w, 1, 10, -2, 4.\nAnswer: -2, 1, 4, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 44. Let s = -171 + 184. Let q be l(s). Solve -2*f + 7*f = -3*r - q, -4*f - r = 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22629 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112039689 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 - -447 - (-9 + (-4 - -15) - (2 + 4))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6336 and 119856?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.84 + -1.16. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p - 28*p + 245 = -119 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, -4, -74?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -80, -101, -128, -155, -176, -185, -176?\n\"Answer: z**3 - 9*z**2 - z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 24*q**2 + 43*q - 18. Let j be l(-22). Let o(g) = 47*g**2 + 6*g - 25. List the prime factors of o(j).\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((29 - (-36 + 36 + 26)) + (-54 - -1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 10604.\nAnswer: -3\/10604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105365, -105363, -105361, -105359?\n\"Answer: 2*u - 105367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 2 k when four letters picked without replacement from {v: 1, e: 3, k: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1818979 (base 10) to base 7\nAnswer: -21314101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00336 to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353 + -358.07. Let o = n + -0.63. Let s = o - -3.7. Which is the nearest to s? (a) 0.2 (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 + -343. Is r less than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1825, -1808, -1761, -1672, -1529, -1320?\n\"Answer: 2*d**3 + 3*d**2 - 6*d - 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 179. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 293*w + 291*w + 6, -2*w - 30 = -4*h. Solve -h*o - 6 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -501*z**3 + 2*z - 1. Let p be s(1). What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + x**2 + 2*x**2 + 3*x**2 - 4*x**2 + (x + 3*x - 2*x)*(x - x - 2*x) + (15*x - 15*x - 11*x**2)*(-5 - 2 + 1) to o*x + f + v*x**2 and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69010 + 207065. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/11 - 32*h**3\/11 + 556*h**2\/11 - 1008*h\/11 + 486\/11 = 0 for h.\nAnswer: -27, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544582*a**5 + 113117*a**2 wrt a.\nAnswer: 32674920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/151002 and 103\/174.\nAnswer: 4379058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-24))\/3*3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 8, b: 5}. What is prob of picking 1 b and 3 x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z + 41*z - 1622*z**2.\nAnswer: -1622*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 8. Let s be h(7). Let w be 35\/11 - 0 - (-2)\/(-11). Factor -d**3 + s*d**w + 3*d - 10 - 18*d.\nAnswer: 5*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15))\/((-1980)\/(-49896))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-91)\/(6 + -3 + (-16)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1529\nAnswer: 458.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + l + 211, 5*l + 389 = -5*x - 136. Suppose -18*w = 3*s - 20*w - 501, -3*s - 3*w + 516 = 0. Let i = s + x. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*p**3 - 4104*p**2 + 3410*p + 3?\nAnswer: -300*p - 8208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -30. Let y(a) = -a**2 - 8*a - 5. Let s be y(-6). Solve r = 5*q + u + u - 1, 5*q - u = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 16*v**2 + 16*v - 18. Let p be q(-17). Let w = 0 - 1. Is w at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = h - 0, -3*h + 3*j + 9 = 0. Solve h*d = -8 - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 247.2873ml?\nAnswer: 0.2472873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*m**3 - 52*m - 2 wrt m.\nAnswer: 678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753317711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32847172 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**3 + 51*z**2 - 80*z - 7. Calculate m(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -14 - -9) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 108.05?\nAnswer: -112.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3289 and 1077906.\nAnswer: 1074617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 784\/5684 + 1716\/(-4872)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451984.\nAnswer: 2, 13, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4845127?\nAnswer: 7, 692161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*4*((-1*-6*(-1*sqrt(243)*1 - sqrt(243)))**2*-3 + -5).\nAnswer: 839851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4665492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*d**3*g**3 - 4*d**3*g*m + 2*d**3*g + 2*d*g**3*m + 5*g**3*m - 2*g*m + 9*g wrt g.\nAnswer: -96*d**3*g + 12*d*g*m + 30*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m**2 - 11*m + 11. Let k(w) = 10*w**2 - 7*w + 7. What is -8*k(u) + 5*o(u)?\nAnswer: -5*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1759020 and 38575.\nAnswer: 8795100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:44 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*o - 1050 - 749 = 1501 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 16 = 5*g, -5*s + 7 = -3. Let d be g*7\/((-21)\/(-6)). Solve -4*t - d + 0 = 4*y, -4*y + 41 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 + -2929?\nAnswer: -2929.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252778324?\nAnswer: 2, 3, 17, 89, 127, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18576 is divided by 78.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:53 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**19*r**2*r**(-3\/2)*(r**(-3)*r*r**(-3))**(5\/3) assuming r is positive.\nAnswer: r**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z**2 + 5*z + 383. Let m(y) = 12*y**2 - 5*y - 385. What is 7*k(b) + 8*m(b)?\nAnswer: -2*b**2 - 5*b - 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {t: 7, p: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303246 + 303246 + 4226*d.\nAnswer: 4226*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/975)\/(-44 + (-3488)\/(-80)).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/2)\/(87\/261).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 11. Let a be z(9). Do a and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -178400.53?\nAnswer: -178400.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = j. Suppose 0 = 5*b - 3*b + j*v - 54, v = -5*b + 147. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 9056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609421 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 628\nAnswer: 3\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**3 + 10*q**3 - 6*q - 2*q + 3*q as z*q + m*q**3 + h + c*q**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -12. Suppose -2*o + 4*q + 13 = -q, 0 = -4*o - 2*q + x. Solve 5*p = 2*p + f - o, 12 = -4*p - 2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 = -29*r + 77 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - 2*(-31)\/(-6). Let g(a) = -a**3 - 5*a - 1. Is g(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1272.7 and 0.5979?\nAnswer: -760.94733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2703 (base 8) to base 9.\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12846 by -12846.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 386*v - 421*v - 202 = 0, 4*v + 30 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 22 = 2*i - 5*l, 25 = -5*l. Let m = i - 2. Let r be (9\/(-6))\/(m\/8). Which is the third biggest value? (a) -1\/5 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(1\/4))*v**(-1\/14))\/(v*v*v**(-4\/15)*v*v\/(v*v**(-10))*v))**(-14\/3) assuming v is positive.\nAnswer: v**(5693\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20510 - 1107575\/54. What is the common denominator of w and 151\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9233000 and 63.\nAnswer: 83097000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*v + 68, 6*v - 293*b - 4 = v - 292*b + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -32*h + 336. List the prime factors of o(-10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2609, -2590, -2559, -2516, -2461, -2394?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550 plus -0.1?\nAnswer: 6549.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232888150?\nAnswer: 2, 5, 11, 103, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5502 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**39*q**39 assuming q is positive.\nAnswer: q**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -209*h + 43. Calculate the least common multiple of c(-1) and 24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -164*z + 6651. Calculate j(40).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = 0. Suppose 4*n - 66 = -2*i - u*n, -4*i + 2*n + 142 = 0. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)\/((-1)\/4). Suppose 0 = -v - a + 15. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 57*m - 99 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 41 - 9 = 0. Let u be s\/8*-2*1 + 3. Solve -4*z + z - u*l + 12 = 0, 3*l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1135785 and -83\/1298040?\nAnswer: 9086280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/25683 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26700 is divided by 329?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 97*g + 1. Let f be i(2). Suppose 0 = -0*j + 3*j + f. Let n = 115 + j. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3872?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*a**3*i**2 + 199*a**3*i + 2*a wrt i.\nAnswer: -558*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 9*b**3 - 630*b**4 + b**3 + 611*b**4 - 5 to the form g*b**4 + l*b**3 + h*b**2 + c*b + j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Suppose b + 5 = -x. Let n be 3\/((-1)\/(4\/b)). Solve n*o + 0*o = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 21 = -a, 6 + 102 = 4*a - 4*n. Let j be (-34)\/a - 7\/35. Put -4, j, -5 in increasing order.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*g**2 - g + 99*g**2 - 433*g**2 in the form b*g + n*g**2 + d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 4862 = 2586. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/((w\/w**(1\/17))\/w)*w)*w*((w**(2\/15)*w)\/w*w)\/w)**17 assuming w is positive.\nAnswer: w**(-491\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 5*d - 220 - 27, -804*d - 137 = -4*y - 801*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 9) to base 7\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:12 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4070, -8165, -12276, -16409, -20570, -24765, -29000?\n\"Answer: -r**3 - 2*r**2 - 4082*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**3 + 0*x**2)*(626*x - 12 + 12 - 170*x) + 3*x**4 - 6*x**4 + x**4 + (-2*x - 2*x + 3*x)*(3*x - 3*x + 2*x**3) + 5*x**2 + 3*x**4 - 5*x**2.\nAnswer: -457*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4684 and 2432.\nAnswer: 2847872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 + 2*s**4 + 128*s**3 - 248*s**2 - 960*s = 0. Calculate s.\nAnswer: -8, -2, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**2*s*x - 4182*g**2*s + 17*g**2*x - 4*g*x + s + 2*x wrt x.\nAnswer: 3*g**2*s + 17*g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 31400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 2*r - 16, -5*r + 26 + 14 = -v for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4 - 0)*(-84)\/(-24))\/((-1)\/(-34)). Sort -2, 4, 5, m.\nAnswer: -2, 4, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.487578 nanometers?\nAnswer: 0.000000000487578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:32 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - -3.2. Let j = 2.8 - -0.2. Which is the second biggest value? (a) j (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -18 (c) 6 (d) 2383 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.47. Let c = -15 - -15.352. Let t = c - z. What is t rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/((-4)\/(-24)). Which is the second smallest value? (a) -0.1 (b) -1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 2833?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(540))\/(sqrt(12)*2*6).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 198541*u**2 + 2 - 35171*u**2.\nAnswer: -233712*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/17 + 5180*s\/17 - 367482\/17.\nAnswer: -2*(s - 2517)*(s - 73)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1376*q**2 - 28898*q - 34. What is s(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 4*w + 3. Give t(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12647794 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/22*(-1285900)\/87675?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 25*b**2\/4 - 1697963*b + 135837 = 0.\nAnswer: 2\/25, 271674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1377 + -981. Calculate the remainder when v is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 5, q: 1, f: 3, e: 7}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4)*(-11 + -1). Suppose j + m = 5*j. What is the derivative of 10*h**4 - j*h**4 + 1 + 1 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*10\/(-140) + 53.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2301, -1, 0.24, -1\/2, 2 in descending order.\nAnswer: 2301, 2, 0.24, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 14*q**2 + 18*q + 51. Let u be v(-15). Suppose -23 = 5*o - 123. Suppose u*h - o = h. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3676287*t**4 - t**3 + 340518*t**2 - 30*t wrt t?\nAnswer: 88230888*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55969, -55986, -56011, -56050, -56109, -56194, -56311?\n\"Answer: -x**3 + 2*x**2 - 16*x - 55954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/14))**(-8)\/(x**(-2\/17))**(15\/8) assuming x is positive.\nAnswer: x**(377\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5421715504?\nAnswer: 2, 338857219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9197557, 9197543, 9197529, 9197515, 9197501, 9197487?\nAnswer: 9197473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**17*(u*u**(1\/2))**(7\/3))\/((u**(-1))**(-8)*u**(-3\/10)*u*u**(-2\/15)*u) assuming u is positive.\nAnswer: u**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(66\/(-36)))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - 8*a**2 + 27*a + 86. Give o(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 75963390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 78*n + 44. Let i(b) = -234*b - 130. Let f(x) = 4*i(x) + 13*r(x). What is the tens digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -33*p + 0*p**2 - 25\/6*p**3 + 0. Let g(o) = -o - 6. Let d(c) = -c - 5. Let h(s) = -6*d(s) + 5*g(s). What is h(x(k))?\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27553 = 8*u - 1103. Does 46 divide -2 + (-2 - u\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**3 - 103*c**2 - 6*c - 118. Is i(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**3 + 13*m**2 + 18*m + 4. Let b be q(-1). Solve 5*c = o + b, -2*c - o + 3*o + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*n - 3. Let f = -28908\/7 - -4130. Which is the second biggest value? (a) -3 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 80.1942 grams?\nAnswer: 80194.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-15) - (-1)\/6. Factor -1\/2*a**2 - a - x.\nAnswer: -(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -4. Let v(p) = 652 - 622 + 4*p - g*p. Is 6 a factor of v(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 59*o - 1. What is the units digit of s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 741.5894 * 0.4.\nAnswer: 296.63576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + 0.39. Let s(q) = 6*q - 12. Let x be s(4). Let c = x + -14. What is the nearest to 2\/7 in c, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587149 is divided by 199011.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 1554 - t**3 - 771 - 779 in the form i*t + m + r*t**3 + q*t**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109656 is divided by 198?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -117*i**2. Let w(q) = -4783*q**2 - 4. Determine w(p(y)).\nAnswer: -65474487*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10\/(-3)*(-21 - -3)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 113*n**5\/20 + 35*n**4\/12 + n**3\/3 + 4573*n**2 - 24*n + 26. Differentiate h(p) wrt p.\nAnswer: 339*p**2 + 70*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 210?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:17 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242983 by 4.\nAnswer: 242983\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 - (-11)\/5. Suppose 10 = w*h + 2. Calculate the highest common divisor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -54*l**2 + 7. Let t(n) = 107*n**2 - 13. Calculate -9*b(v) - 5*t(v).\nAnswer: -49*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55432 and 936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -202520?\nAnswer: -202522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 976 = 15*a + 101*t - 49, 10*a - t = -60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034553 to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Let m be (-5 + t)*94\/4. Let p be m\/(-7) - (-4)\/14. Solve -p = 2*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/151184 and -15\/1472.\nAnswer: 13908928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 - 489 = -52*t. Suppose t*n = 4361 - 61. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121590 and 27020?\nAnswer: 243180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -39. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -588 + 595. Let o(y) = -11*y + 10*y + 8*y - 15*y + u*y. Let q(h) = -h**2. Let a(p) = p**2. Let x(g) = -8*a(g) - 5*q(g). Determine x(o(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15*-55 - (5 + 3). Solve 0 = 3*b - f + l, 2*f + 4 = b - 0*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34889*2\/132880 - (-31 - -31). Let r = -1\/8305 + m. Find the common denominator of r and 17\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31677247.\nAnswer: 7, 4525321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 a factor of 552870254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296344, 589744, 883140, 1176532, 1469920?\nAnswer: 1763304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**4\/5 - 11886*q**3\/5 + 1570536*q**2 - 346563360*q + 344995200.\nAnswer: 6*(q - 660)**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215622 divided by -19602.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x + 10. Let q be g(4). Let f(j) be the first derivative of 8\/9*j + 50\/27*j**3 - 20\/9*j**q - 1. Find a such that f(a) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 31 = 2*l, 4*i + 4*l = 256. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1429 = -38*r + 1505. Solve -174 + 168 = r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -42*g - 18. Let w be ((-1)\/2)\/((-117)\/234)*-1. Let m(k) = k + 1. Calculate w*d(i) - 18*m(i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f**3 + 3\/8*f**4 + 0*f + 20*f**2 + 0. Let l(y) = -2*y**2. Determine z(l(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10995, -21990, -33043, -44184, -55443, -66850, -78435?\n\"Answer: -5*c**3 + c**2 - 10963*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 2682117568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - b + 4. Let i(r) be the first derivative of -2*r**3 - 3*r**2\/2 + 9*r - 8. Let t(s) = -4*i(s) + 9*j(s). Determine q so that t(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17140)\/(-50) - 1\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1722 - -1650.5. Let g = -89 + 157. Let m = a + g. Is 0 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*z + 118 = 0, 0 = 3187*i - 3184*i - 28*z + 112 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -60\/17, 3\/128, 0.9?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*c + 58 = 125*c. Let t be c\/203 - ((-37)\/(-7) + -1). Put 6, 3, t in descending order.\nAnswer: 6, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.3, 0, -35, -1, 0.1 in increasing order.\nAnswer: -35, -1, 0, 0.1, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135.03 - 94.52. Round u to zero decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z + 2. Let u be r(-8). Let k(h) be the first derivative of h**3\/3 - h**2 + 3*h - 1. List the prime factors of k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Let w = c - 2. Suppose -w*b + 0 = -8. Solve d + 7 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v)*(-4*v + 0*v + 5*v + (-9*v + v + 17*v)*((-2 - 2 + 2)*(1 - 2 - 3) + 1 - 3 + 3)) to m + y*v**2 + f*v and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-2 - (sqrt(1584) + 0))*-6 + 0 + -1*sqrt(44)\/sqrt(4) + -5)**2.\nAnswer: -1670*sqrt(11) + 306804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 197*b**8\/112 - 97*b**5\/60 - 25*b**2 - 2*b. What is the third derivative of g(u) wrt u?\nAnswer: 35460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isutiutuipuiiisi. What is prob of sequence iuit?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s. Let a(x) = 100596712*x**2. Calculate n(a(t)).\nAnswer: 301790136*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 10*a**2 + 15*a - 1. What is h(4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v + 2*f - 17070 = 0, 4*v - 34116 = 4*f. Suppose 1172 = -16*b + v. Does 53 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = k - 6, a + 10 = 5*k. Let n(l) = 0 + k - 8*l + 5*l. Let p(j) = -j. Calculate n(s) - 4*p(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-4760)*34 - 3\/12.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q + 8. Calculate p(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + f - 16*f + 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(15\/8))**(-27) assuming p is positive.\nAnswer: p**(-405\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2327 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*f**3 - 157*f**2?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**2 + 251*o - 1840.\nAnswer: 8*o + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1299 > -1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 553712.\nAnswer: 553712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.149671?\nAnswer: 1.850329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {e: 1, l: 5, r: 1, y: 6, n: 5, x: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -278048487*b**2 - 92474455.\nAnswer: -556096974*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 2, a: 3}. Give prob of sequence ayaa.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134.3 - 134. Which is the second smallest value? (a) 0.027 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -3.5, 5.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28.323463 * 2\nAnswer: -56.646926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 5*f**2 - 2*f**2)*(2*f**3 + f**3 - 2*f**3) + 4*f**4 - 4*f**4 - f**5 - 5*f**2 - 4*f**5 + 5*f**2.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22309736 and -34742.\nAnswer: -22344478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 99768.73ug?\nAnswer: 99768730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808786455 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 102 = -0*b. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**4\/4 - 2*s**3\/3 + s**2 - s + 3. Let t be g(1). Let 1\/2*b + 1\/2 - 1\/2*b**t - 1\/2*b**3 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r + 70. Let u(n) = -2*n**2 + 4*n - 4. Let k be u(6). Let a = r - k. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 0. Suppose 4*w - 3*w - 3*t + 55 = r, 4*t - 20 = 0. Let a = w - -100. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100111111101011?\nAnswer: 100111111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 9. Let g = -25 - -16. Let q be c(g). Suppose 0 = -9*a + 10*a - q. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-16845)\/(2 + 3). What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107732761*x**4 + 230788785 wrt x?\nAnswer: 430931044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4255 or -4263?\nAnswer: -4255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 - 9*d**2 - 7*d + 5. Let n(t) = -9*t**3 + 17*t**2 + 14*t - 9. Let f(j) = -7*m(j) - 4*n(j). Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**8\/168 + m**5\/20 + m**2\/2 - 2. Let s(r) be the second derivative of o(r). Find the third derivative of s(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 z when three letters picked without replacement from {g: 2, y: 1, z: 1, w: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19*y**2 + 8*y - 16. Let h(l) = -12*l**2 + 5*l - 10. Let c(x) = -8*h(x) + 5*m(x). Let p(q) = -4*q + 4*q - q**2. Determine p(c(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 + -81. Suppose -2*y + q = -41. Suppose -3*v + y = 24. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34447 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daddmdaadmmaamfdadaa. Give prob of sequence mmf.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -28*h**2 + 5. Let t(q) be the third derivative of -5*q**4\/24 - q**2 - 28*q + 8. Determine j(t(m)).\nAnswer: -700*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2. Let k(h) = -h**3 + h**2 - h - 5. Let g be k(0). Let s be i(g). Let t = s + -22. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:55 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 74 = 4*g, 6*g - 3*g + 96 = 3*r. Let b be 195\/r + (-2)\/9. Let c(i) = i - 3. Let v be c(b). Is v greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/630 and -19\/198815.\nAnswer: 25050690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24*39\/5382*(-9)\/(-6)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/5, -2\/15, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 20*k**2 + 45*k + 15. Let w(z) = -z**3 - 21*z**2 - 44*z - 16. Let p = 1 + -6. Let c(m) = p*w(m) - 4*b(m). Factor c(q).\nAnswer: 5*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -3)*2\/3. Let t(m) = 4*m**3 - m**2 + 2*m - 1. Calculate the smallest common multiple of t(1) and 18\/4 - 2\/h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 3}. Give prob of sequence iil.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 113013?\nAnswer: -113111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/22*(-260447)\/(-118385)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634608?\nAnswer: 2, 164663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.655496579 - 119.\nAnswer: -50.344503421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, u: 9}. Give prob of sequence vvu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*1 + -4*(-12)\/24. List the prime factors of (d + 2)*(-1623)\/(-9).\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*y - 0*w + 3*w, -5*y + 5*w + 55 = 0. What is the units digit of -1*2\/((-6)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239849*v**3 + 47013*v**2 wrt v?\nAnswer: 1439094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 138 + -14?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 469, 510, 547, 568?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.5. Let k = -1.18 - -0.18. What is the biggest value in k, -3\/8, h?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 - 212.1. Which is the nearest to u? (a) 2 (b) 1\/5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011033 (base 5) in base 16?\nAnswer: 4009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1094 times -16.08\nAnswer: 17591.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {p: 2, l: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1247521 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x + 12 - 417. Let u be ((-3)\/x)\/(486\/(-60) + 8). Solve -4*c + u + 18 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - (-24)\/6) + 10. Let j(h) = -h**3 - 2*h**2 - 3*h - 3. Let c(s) = -s**3 - 3*s**2 - 4*s - 4. Determine y*c(f) - 3*j(f).\nAnswer: f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1096 + -569. Suppose -m + w = -0*m - n, 3*m - 1593 = -w. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10841, 21684, 32527, 43370?\nAnswer: 54213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -43*v - 626. Calculate the remainder when 151 is divided by l(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879991919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -5*l - 62. Suppose -2*c - 4*z - 1 = -23, -3*z = 3*c - l. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 152 = 3*k + 4*c, -k + 56 = 4*c. What is the greatest common factor of 72 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 47*m**2 + 233*m - 947. What is l(51)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/3)\/(4\/(-42)). Let x be (-2)\/9 + n\/(-9). Suppose 8*c - x = 4*c + h, 3*h = -3*c + 21. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(6)*2))\/sqrt(180).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28304.64 microseconds to minutes.\nAnswer: 0.000471744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 865.8357 minutes?\nAnswer: 51950.142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -524\/9 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(325) + sqrt(325) + sqrt(325)*2 + -2 + -3*sqrt(325)*4))**2.\nAnswer: 1440*sqrt(13) + 187236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1923.7 and -4.\nAnswer: -7694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:09 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25681899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**7\/112 + l**6\/40 - l**4\/16 - l**3\/16 - 4*l. Factor k(z).\nAnswer: 3*z*(z - 1)*(z + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.02 - 16.6. Let m = -30.6 - f. Let h = m - -3. Put -0.3, h, -1\/6 in descending order.\nAnswer: h, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253.37 + 253. Let l = -6 + 5.93. Let f = z - l. Sort 1\/3, f, -5 in ascending order.\nAnswer: -5, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 963.4283 to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 19*w - 70 = -52*w. Factor -15\/7*x**3 + 3\/7*x**4 - 3*x + 6\/7 + 27\/7*x**w.\nAnswer: 3*(x - 2)*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from zuuzrzruzzuuuzuuu.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54\/31, -0.4, 3?\nAnswer: -54\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-207))\/((-4)\/(-132)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/120 and (190\/(-50) - -5) + 2636\/(-2560).\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10, v: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*404 - (8 - 11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 3716*z**2 + 11353*z**2 + 0*z - 3818*z**2 - 3822*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/7 + 2 + (-39)\/91. Let m(u) = -u - 2. Let i be m(t). Solve i*d + 2 = -13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j - 8*j + 17*j. Determine i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17542 + 30674. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3323 - -3285 - (-825)\/21?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeua when four letters picked without replacement from eeeeeeeeeeeeeddeaau?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2767.303 and 92.\nAnswer: -254591.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, a: 1, u: 1, k: 11}. Give prob of picking 1 a and 1 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -33609*y + 201683. Calculate s(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 83*y + 5850. Give q(-74).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 12*k**2 + 3*k + 9. Let f be b(-12). Let m = -12 - f. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from cgbgcgggtbgttpgdcgg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.434436 - 1877880?\nAnswer: -1877882.434436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*j - 22, -72*r + 71*r + 14*j = -66 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Suppose k = i - 11. Calculate the greatest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365200 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -6. Let s = q + -3. Suppose -m = 3*n - 52 - 29, 0 = m + 4*n - 84. Calculate the greatest common divisor of m and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 4}. What is prob of picking 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -376245 or -376095?\nAnswer: -376095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12498\/14581)\/((-2)\/(-56)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-2*(-105)\/(-18)*(-24)\/80. Which is the second biggest value? (a) i (b) -33\/2 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 37*d - 62. What is f(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - 2*f**2 + 7*f - 72. Let g be x(-8). Calculate the highest common factor of g and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575113696 rounded to the nearest one million?\nAnswer: -575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 997 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i = 684 + 627 - 919 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**2 + 135*o - 49*o - 66*o - 1 as m*o + x*o**2 + a and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 5. Let q be f(8). Suppose -18 - 6 = -l - 4*g, l + g - 9 = 0. Suppose -l*x + 2*n = -q*n - 27, 4*n - 12 = -x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.901 - -6.701. Let r be 2\/4 - 11\/14. Which is the closest to m? (a) -3 (b) 1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:56 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 2*b + 2*b + b + 1 - 1 + (2 + 2 - 6)*(-b - 2*b + 7*b) - 4*b + 4*b - b + (-2 - 2 + 1)*(3*b + 8*b - 12*b))*(-4 - 2 + 5) to i + x*b and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715369 to the power of 1\/2, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*n. Sort 1, n, 5 in increasing order.\nAnswer: 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 11*18\/(-396)*68\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142\/3 + 47. Suppose t = -2, o - 8*t = -3*t + 12. Let m be (-1)\/o*(-15)\/(-10). Which is the nearest to u? (a) -1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/5740 and -93\/1400.\nAnswer: 57400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/20*a**6 - 1\/8*a**4 - 1\/8*a**3 + 0 + 1\/56*a**7 + 0*a**5 + 7*a + 0*a**2. Factor m(s).\nAnswer: 3*s*(s - 1)*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2186*d - 101943 + 29805 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 less than -6575.1082566?\nAnswer: -7443.1082566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ba (base 12) in base 9?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 6*y + y**3 + 3*y**3 - 2*y**3 + 2*y as i + k*y + s*y**2 + t*y**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 903\/1892 - ((-6)\/22 + 0). What is the nearest to 0 in -2, -0.5, m, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407988204?\nAnswer: 2, 29, 715811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 16. Suppose -4*x + 35 - 10 = 1. Give z(x).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 16 + 92. Let q = r - 18. Solve -q = -f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355963753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076859639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6062, 6060, 6056, 6050, 6042?\nAnswer: 6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/35 and (71 - 73)*(-17642)\/23240 + 3\/(-2).\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.084 in 0.1, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q**2. Let b(x) = -21*x + 3*x + 14*x - 10*x - 12*x. Determine b(s(g)).\nAnswer: 390*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4668355925?\nAnswer: 5, 61, 199, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -17. Let d = 17 + s. Suppose 2*h + 2 = -0*h - 4*q, 0 = -4*h + 5*q + d. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 1.2, 6, 5, 4, 0.3, -2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -13. Let b = 3.71 + 0.09. Let h = j + b. What is h rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8251406 is divided by 8613.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 33. Let c = f + -23. Let t(k) = -k + 17. What are the prime factors of t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153368 divided by -38342.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 292, 442, 592?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-222)\/(-9) - -1). Let q = -26 + x. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002213154732 rounded to 7 decimal places?\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 9900?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5075959967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*b**3 - 63*b**3 - b**3)*(10*b**2 + 3 - 3).\nAnswer: -850*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 9*c**2 + 20*c + 13. Let u be p(7). Let w(q) = q + 3*q**3 + u + 0*q**3 - 6*q**2 - 2*q**3 - 250. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -c + 6 + 9, 2*c = 5*n + 21. Let k(z) = z**3 + 5*z**2 - 7*z + 8. Let a be k(-6). Let d be (1\/3)\/(a\/6). What is the closest to 1 in n, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*f = -369*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00440795 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 4:20 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h - 53. Let x be o(6). Calculate the greatest common divisor of 124 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {q: 3, f: 4, d: 2, e: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l + 8*l + 14*l + 8*l. Let p(a) = -41*a. Let q(c) = 17*c. Let w(f) = 6*p(f) + 14*q(f). Determine r(w(s)).\nAnswer: -144*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + 2 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c - 2. Let m be s(-4). Let v = 67 + m. Suppose 4*o - 64 + 4 = 0. Calculate the greatest common factor of v and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3495723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -121, -215, -335, -481, -653, -851?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -22*s + 21*s. Let y = -15 - s. Let b = 35 + y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2543 = 2*c + 13425, 5*c = 4*o - 31936. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 2*y - y**5 + 0*y**5 + (4*y - y + 2*y)*(-3*y**4 - 4*y**4 + 5*y**4).\nAnswer: -11*y**5 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*5\/(-198))\/((-13)\/702*5).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49345573 is divided by 16448522.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**4 + 5*i**2 - 6*i - 5. Let u(b) = 2*b**4 + 6*b**2 - 7*b - 6. Let l(n) = 6*c(n) - 5*u(n). What is the second derivative of l(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/4 - 2*s**3 + 3*s**2\/2 + 6*s - 2. Let j be o(6). Suppose 2*v - 48 = -v. What is the highest common factor of v and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + l - 1. Let y = 2 + 0. Suppose -3*p - 5 = -z, p + 7 = -3*z + y. Is u(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 5, e: 3}. Give prob of picking 1 y, 2 t, and 1 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084077053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1300, 2675, 4050, 5425, 6800, 8175?\nAnswer: 9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d66 (base 15) in base 5?\nAnswer: -44041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -441, 0, 9, 354, 2 in increasing order.\nAnswer: -441, -1, 0, 1, 2, 9, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*16884\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102281 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4\/3 + 16*f**3\/3 + 20*f**2\/3 + 8*f\/3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*z = -3, -2*p + 4*p + 3*z - 27 = 0. Suppose 5*a = p + 6. Factor -t**4 - 2*t**2 - t**a + 2*t**2.\nAnswer: -t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -222?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**2 - 53\/3*n**3 + 28*n + 0. Calculate the remainder when i(-1) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10280, 10338, 10432, 10568, 10752, 10990, 11288?\n\"Answer: n**3 + 12*n**2 + 15*n + 10252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25383, 50774, 76173, 101580?\nAnswer: 126995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 140\/28 - (-396)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s = 24431 - 6894. Let j(y) = 779*y**3 + 247*y + 247. Let d(q) = -19*q**3 - 6*q - 6. Calculate s*d(u) - 6*j(u).\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/113 in -4, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2150 and 516?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269 + -595\/2. Let x(q) = q**3 + 5*q**2 - 10*q + 1. Let s be x(-7). Let y = w - s. Which is the nearest to 1? (a) 2\/5 (b) 1\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16805506 - 201539569\/12. Let i = 10552 - q. Calculate the common denominator of -7\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 2*h - 3. Let a(d) = 34 + 2*d + 2*d + 4*d**2 - 27. Let v be (-2)\/(-1) - (0 - 0). Calculate v*a(p) + 5*n(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*o - 1578*o - 168*o)*(0*o**2 + 0*o**2 - 3*o**2).\nAnswer: 4644*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67921\/22 + 3085. Find the common denominator of 21\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340432882.\nAnswer: 2, 199, 855359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:30 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107462 - 109149.46. What is b rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 4027728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + i - 0*i + 620, i - 118 = -f. Let a = -54 + f. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = 5*z, -4*z = -5*j + 3 + 1. Let s = -41 - -83. Suppose 4*a - 37 = -3*l, 3*a + 2*l - s + 14 = j. Solve 0 = 4*u + u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let z = -188 - -1688\/9. What is the closest to i in -0.3, -3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3976466\/141 + -28202. Do -1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(25116\/378)*(-12)\/27.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + ((sqrt(209) + sqrt(209)*-2 + sqrt(209))\/sqrt(11) - ((4 + sqrt(19)*-1)**2 + sqrt(19))) - (-4 + (-1 + sqrt(931) + 2*sqrt(19)*-1)**2)).\nAnswer: -504 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 5 (b) 140 (c) -0.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Suppose -14 = t*p - 3*x - 46, 0 = 2*p + 2*x - 16. Solve -4*h - l = -0*h - p, 0 = 3*h + 3*l - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*w + 9*w. Suppose -5*o + k = 139, w*o + 2*k - 14 + 60 = 0. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:13 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2849 is divided by (18\/2)\/(867\/2023)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*q - 2*w, q - 4*w = 2*q - 27. Solve -3 = 4*z - q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*r + 20 + 272*r - 20.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3315043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + -2 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136548429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (12 - (42 + -6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 17028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 - 272.2. What is the nearest to v in 3, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-8)*(-4)\/(-13). Suppose -k*z = 3*a + a - 72, 2*a = 0. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**3 + 6*m**2 + 62*m + 91. What is b(-2)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h, 0*h - 2*h = -z + 9. Let q = z - -45. Let c = -43 + q. Solve -2*x + 17 = -3*v, -c - 2 = v - 3*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*n + 7, -3*n = 12*r - 11*r - 7. Let o be -2 + (r - -5) + 132\/(-34). Let p = -0.27 - -11.27. Which is the smallest value? (a) 3 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70753344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:21 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 + 76*y**2 - 392*y + 320 = 0.\nAnswer: 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a4bec - -39?\nAnswer: -a4bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -1.5. Which is the biggest value? (a) 4 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 - 8*i - 3. Let m be (-3 - -4)\/((-6)\/(-30)). What is the lowest common multiple of 19 and k(m)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 453*u - 20450. Give k(51).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.25 + -0.25. Let p = -31 + c. What is the nearest to -1\/4 in p, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1485666.\nAnswer: 2971332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(6\/(-1) - -2). Suppose -r = -n*r. Suppose r = 3*g - 5*t - 5 - 3, -5*g + 26 = -2*t. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let o = -9328\/9 - -1036. Which is the third smallest value? (a) o (b) -4 (c) 2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*u, 12 = 2*v - 6*v + u. Let k = v - -12. What is the smallest common multiple of 11\/(-2*2\/(-4)) and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 155804323 = 291395677. What is r rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(88)*-1 - sqrt(88))\/sqrt(8)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(-7)\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 622, 5 in ascending order.\nAnswer: -27, 5, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51148850 to the power of 1\/2, to the nearest integer?\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -15. Suppose p*z - 5 + 0 = 0. Solve -4*i + 5*s + 4 = -z, 3*i - 1 = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbrbbr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 18 = -12*r. Let s(o) = -3*o - 6. Let x be s(-3). Solve -l + r = -x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/8 + -33\/56. Which is the third biggest value? (a) s (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 7*q**6\/30 + 11*q**3\/2 + 34*q**2. Differentiate n(m) wrt m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 449?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2544 by -53.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190231765*f**5 + 4*f**2 - 1615089*f + 38.\nAnswer: 11413905900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31833 + -107. What is the greatest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 72 = 13*g. Suppose 2*l - 2*k - 7 = -5*k, 3*l + 3*k - g = 0. Solve 2*n + 0*n = -3*m, l*m + 5*n = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1 + 6*d - 2*d + d - d**2. Let w(k) = -k**3 + 16*k**2 - 52*k - 74. Let b be w(7). Calculate x(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 63*b + 11. Determine z(-69).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 10*d - 10*d + (-1 + 5 - 2)*(-d**3 + 4*d**3 - 4*d**3) - 3*d**3 - 6*d**3 + 0*d**3 + (-12*d + 3*d + d)*(2*d**2 - 2*d**2 + 2*d**2).\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 696 - -0.1\nAnswer: 696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. What is the fourth smallest value in -3, 1\/3, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 2. Suppose -8*q + o*q - 84 = 0. Let g(n) = n**3 + 15*n**2 + 14*n + 2. Let t be g(q). Solve -2*c + 0*p - 2 = 2*p, p - 2 = t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 - 2 = 0. Suppose s*p = -0*p + 37560. Suppose 2*i + p = 3*q + q, q - 28195 = 3*i. Round i to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/126*(-4)\/((-228)\/(-4123))?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a + 100 + 50 + 35832*a**4 - 36279*a**4 wrt a.\nAnswer: -5364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3400 by 8785.\nAnswer: 680\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - 110001011?\nAnswer: -110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -511?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -41*d - 207. What is z(20)?\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1789 + 1789 + 19*k to a*k + v and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -15*j**2 - 6149*j - 18440. Determine f(-3).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*z - 16, 4*z + z - 20 = -5*x. What is the units digit of 1157376\/1320 + -2*z\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:37 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/168 - -1) + 145\/1160\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus -468213900?\nAnswer: -468213832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -65969 at most -65970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.2432?\nAnswer: -0.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/j)\/j**21 assuming j is positive.\nAnswer: j**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 352 and -5.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -10*d**5\/21 + 34426*d**4\/3 + 751142*d**3\/3 + 1334654*d**2\/7 - 48240*d = 0.\nAnswer: -21, -1, 0, 1\/5, 24120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 466.5 - -76.5. Let r = g + -513.9. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**3 - 90*y**2 - 101*y - 7. What is z(14)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/12)\/(((-180)\/32)\/3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.780303 - 0.78. What is t rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 575086*y + 28749300.\nAnswer: 2*(y - 287493)*(y - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j. Suppose 29 = -5*k + 39. Is 1799 + 2 + j\/(k - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12100472842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 14*t**2 + 363*t - 183. Determine m(27).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.4. Let o = 1.6 + j. Which is the nearest to o? (a) 0 (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7198.76 plus 0.1?\nAnswer: 7198.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12240 and 91\/4.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 3*s**4 - 14*s + 0*s**4 + 14*s + 4*s**2.\nAnswer: -s**2*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1388*f**2 + 4*f - 18174 wrt f?\nAnswer: 2776*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -644, -1010, -1376, -1742, -2108?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -262*v**2 - 67*v + 2. Let q(n) = 30*n. Determine o(q(h)).\nAnswer: -235800*h**2 - 2010*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3378492124 - -1338.\nAnswer: -3378490786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.8. Let n be (-4)\/28*28\/(-24). What is the nearest to l in -3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:33 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 325240 + 325240.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1146 (base 7) to base 6\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 30*o**2 - 3*o - 72. Let i be f(30). Suppose 0 = -8*y - 2*y - 1620. Is i less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178405591 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (479*u - 479*u - 50*u**2)*(u + 0*u + 0*u).\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:04 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44068519 divided by 4006229?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (-1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24541 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14387?\nAnswer: 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Solve -3*w + h = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -778*y - 505 wrt y.\nAnswer: -778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11276.06437 - 11276. What is w rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a6156 (base 13) to base 15\nAnswer: 5d907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**4 - 76*i**3 + 4015*i**2 wrt i.\nAnswer: -168*i - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*-2)\/sqrt(6) + 3*sqrt(51)\/sqrt(3).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 422819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2943, -6335, -9729, -13125, -16523, -19923, -23325?\nAnswer: -26729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 4. Let d(n) = 5*n + 5. Let a(r) = -4*d(r) + 3*p(r). Let w be a(-10). Calculate the greatest common divisor of w and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2454*h - h**6 - 214*h**2 - 2454*h - 5 - 4 + 6 - 30*h**5 wrt h?\nAnswer: -120*h**3 - 1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 5, 1\/2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -41*x**3 - 7*x**2 + 29*x. Let n(t) = 20*t**3 + 4*t**2 - 15*t. Determine 11*n(a) + 6*u(a).\nAnswer: -26*a**3 + 2*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12454927 is divided by 461292.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 558*t + 488?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/12 - 3*q**3\/2 + 15*q**2\/2 + q - 8. Suppose b + 5 = 3, 0 = 4*o + 5*b + 38. What are the prime factors of h(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79431520.25 - -94.\nAnswer: 79431614.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 893\/9303 - 1\/1329. Which is the biggest value? (a) 0.415 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 - (sqrt(175) + 2*sqrt(175))**2) + 1 + 2 + -3.\nAnswer: -1575 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3570 is divided by (3472\/(-140) + 25)\/((-1 + 2)\/95).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42124?\nAnswer: 2, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1690963 divided by -1\nAnswer: 1690963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -79, -104, -117, -118?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxaqxqxxxax.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-12)*4\/(-3)*(-78)\/(-26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(88)\/(sqrt(22)\/sqrt(2)))\/(sqrt(36)\/(sqrt(36)\/sqrt(4)) + sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 177 and 0.03.\nAnswer: 5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 4*l + 816 = -6*z, 0 = l + 3. Calculate the highest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 1 + 1)*(-2*y - 3*y + 6*y) - 6*y**2 + y**2 - 5*y**2 + (2 - 5 + 4)*(-2*y**2 + 3*y**2 + 0*y**2) in the form v + n*y + m*y**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = 31*h, -4*h + 43328 - 43338 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99618890 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -1112210 (base 3) to base 11\nAnswer: -936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*k - 355 - 267 = 282 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009185 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4998 rounded to one decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396487244 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0, -0.4, 15, 0.06, 2, 15\/47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:03 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t**4\/7 - 534*t**3\/7 - 3548*t**2\/7 + 5464*t\/7 - 272 = 0 for t.\nAnswer: -17, -14, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/15*5)\/5)\/(2\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -5, 22 in decreasing order.\nAnswer: 22, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252) + 0 + 1*sqrt(252)*5)**2 + 2 + (((sqrt(252) - (sqrt(252) - (2 + sqrt(252))) - sqrt(252)) + -4)*6)**2.\nAnswer: 9218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009409462 rounded to 6 decimal places?\nAnswer: 0.000941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 4*o**2 - 31. Let p be s(9). What is the tens digit of (-8)\/(-12) - p\/(-6) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - -3) + -36 + -16 + 35.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 672122 and 2566284?\nAnswer: 28229124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787, -1421, -2045, -2653, -3239, -3797, -4321, -4805?\nAnswer: -5243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -326 - -326.4. Which is the closest to 1? (a) d (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923098 is divided by 1230759.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 11*l**2 - 5*l - 13. Let p be g(6). Let h be 2\/p - 130\/14*-1. Suppose -h*v = -6*v. Put v, 1, 71 in ascending order.\nAnswer: v, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u - 6*u + u + 3*u. Let d(y) be the third derivative of -y**6\/180 + 5*y**3\/3 + 3*y**2. Let o(a) be the first derivative of d(a). Give p(o(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 17. Let d(n) = 5*n. What is the remainder when j is divided by d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 3*k**2 - 3*k**2 + (-4*k + k + 2*k)*(4*k**4 - 17*k**3 + 17*k**3).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*v**(-1)\/v))\/v*v)**25\/((v\/(v\/v**(2\/25))*v)\/(v\/(v*v**(2\/27)))) assuming v is positive.\nAnswer: v**(49846\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -563, -1123, -1683?\n\"Answer: -560*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2736)*-2 + sqrt(2736))**2*-4 + (-4*(sqrt(19) + (sqrt(19) + 3 - sqrt(19))) - (-3*sqrt(1900) + sqrt(19))).\nAnswer: -10992 - 263*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1420)\/(-5822))\/(22\/451)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1275 + -1284)\/(-41*3).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -528, -888, -1248, -1608, -1968, -2328?\n\"Answer: -360*f - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 14. Let t(c) = 2348043*c - 2348043*c + 2*c**2 + 2*c**2. Determine t(v(w)).\nAnswer: 16*w**2 + 224*w + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from rpvrp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25449751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82371941?\nAnswer: 461, 178681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 50. Let m(d) = 22*d - 154. Let p(q) = -2*m(q) - 7*n(q). Determine p(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 0*j = 330. What is the remainder when j is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2631047057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/3)\/(35\/(-30))*(-3)\/(-12)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92184335?\nAnswer: 5, 3391, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-4) + (-4 - 18)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93224 is divided by 416?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -3382\/159?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13623 and 2390?\nAnswer: 136230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 10. Give w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -y + 18, -3*y + 5*w = y - 44. Let c(m) = y*m + 4*m - 4*m + 3*m + 7 + 7*m**2. Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1156584277*j*o**3 - 4*j*o**2 + 45*j*o + 7*j - 6*o**2 + 8*o + 186 wrt o?\nAnswer: 6939505662*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*j + 5, -3*j + 6*d + 9 = 3*d. Sort 1, -6, -4, j in descending order.\nAnswer: j, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2754 and -89\/54?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 150.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17446*r**5 - 2245*r - 8673*r**5 - 6139*r**5 wrt r?\nAnswer: 52680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*k - 60, -c - 2 = -3*k + 39. Suppose 2*w - 55 = -f, 2*f = -0*w + 2*w + 92. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107?\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:27 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0) + (-6 - (-12 + 6)). Let v be (-2)\/(2\/(-7 - -3)). Which is the third smallest value? (a) p (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*y - 12 = 0, 362*y - 10 = -3*v + 360*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 769\/4398 - 6\/733. Put -190, g, -1 in decreasing order.\nAnswer: g, -1, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -7, 3\/280, 3\/2, 8 in descending order.\nAnswer: 8, 3\/2, 3\/280, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077716 to six dps.\nAnswer: 0.000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 47 (c) -0.5 (d) -267 (e) -1 (f) -0.09 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -31878156 - 6045044. Round n to the nearest 10000.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 10. Let a be f(7). Which is greater: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Suppose -1216*v = -3804 + 185 - 29. Sort v, 5, p, 2.6 in increasing order.\nAnswer: p, 2.6, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*q + 72 = 0, s + 8*q - 3*q - 13 = 0. Suppose 3*o + 1 = 22. What is the highest common factor of o and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -39. Solve 3*q = -5*j - 15, 0 = 2*q - t*j - 5 - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3)*3\/(-2). Suppose 7*d - s*d = 225. Suppose 0 = -4*y + c + d, -5*c + 69 = 5*y - 2*c. What is the greatest common factor of 84 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 58*i = 57*i - 4, -18 = -5*o + 3*i. Which is the closest to 0.1? (a) -0.7 (b) 5\/4 (c) -0.1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 18 - 33446*g - 33449*g + 66893*g + 4*g**2 in the form j*g**2 + u*g + h*g**3 + f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-238)\/(-4) - 21\/6. Suppose -3*p - 48 = -6*p. Calculate the highest common factor of u and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45836*h - 5*d - 3 = 45838*h, -9 = -5*h + 4*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose 4*a - 84 = -0*a + 4*b, 0 = 3*b + 3. Suppose p*k - a + 18 = 0. Let o(j) = j. Let h(y) = 1. What is k*h(u) - o(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186505614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18617.6809 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 - 3*k + 5. Let o(y) = y**3 - 4*y**2 + 4*y - 4. Let m(l) = 3*o(l) + 2*t(l). Let v be m(5). Solve v*b - 22 = -7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -0.01, 0.4, 0.092, 26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.054 and 0.046.\nAnswer: 0.002484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 31, 1518 in decreasing order.\nAnswer: 1518, 31, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s)*((891*s**2 - 1121 + 1121)*(-s - 3*s + 6*s) - 1 + 1 + s**3 + (-1 + 2*s + 1)*(s - s + 2*s**2)).\nAnswer: 1787*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, s: 1, k: 1, c: 5, z: 3}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62423 (base 9) to base 8.\nAnswer: 120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kwtttzvkkkk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*w - 203 = 104*w. Let o(s) = -6*s + 9. Let x be 2 + 2\/(-1)*2. Let l(b) = 2*b - 3. Calculate w*l(k) + x*o(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1615*u - 1618. Give c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -9.21. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*b)*(5 - 3 - 3)*(60*b + 46*b + 167*b).\nAnswer: -546*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*z - 379*z - 5*c - 5 = 0, -1 = -2*z - 3*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5. Let j(s) = s - 9. Let w be 2\/6 + (-8)\/(-3). What is w*j(g) + 5*u(g)?\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + 422?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 3017*g - 29486. Give i(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -16*w + 417. Calculate the remainder when w is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 314*k = 310*k + 3700, 0 = -2*p + 4*k + 1874. Solve 923*i - 42 = p*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63544477.\nAnswer: 149, 421, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 985569611 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16816256 to the power of 1\/2, to the nearest integer?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3811?\nAnswer: -3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/45)\/(2*1\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*s**4 - s**3 + 69*s**2 + 16027.\nAnswer: 380*s**3 - 3*s**2 + 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 5. Let n be x(-5). Suppose -l = -0 + n. Let z(w) = -3*w - 4. What is the tens digit of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) 2\/9 (c) -5 (d) -21 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/8 (b) 4142 (c) -0.2 (d) 1\/4 (e) 2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 727686 divided by -6\nAnswer: -121281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -975, -1544, -2173, -2868, -3635?\nAnswer: -4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79506589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2. Let i(b) be the third derivative of 58*b**2 + 0 + 0*b - 35\/8*b**4 + 0*b**3. What is p(i(d))?\nAnswer: -11025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633.985 meters in kilometers?\nAnswer: 4.633985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 2738?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1526 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 829312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 4 = 0. Let n be u\/3 + (-8)\/96. What is the nearest to 0.4 in -0.5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*h**3 - 58*c**2*h*k + 10*h**3*k + 2*h - 3*k wrt c?\nAnswer: 4*c*h**3 - 116*c*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n - 39. Let h be u(-16). Suppose 4*w = 5*q - 7*q + 368, -4*w - q = -364. Is w not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 1. Let k(z) = -9*z - 14. Let q(g) = -3*b(g) - k(g). Let s be q(9). Calculate the greatest common factor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41031904 and 11536?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79169523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4491498 is divided by 3933.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(187) - sqrt(187) - sqrt(187) - sqrt(187)) + sqrt(187)))\/(sqrt(11) - sqrt(22)\/sqrt(2)*-1).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195887499.\nAnswer: 3, 191, 341863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*f - 4, -4*r - 14 = -1881*f + 1884*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2801427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.9. Let q = t - 3.3. Let k = q - -3.1. Which is the second smallest value? (a) 0 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -0.19, -28.8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 36*w**5 + 15*w**5 + 1 + (3*w**3 - 3*w**3 + w**3)*(-2*w**2 + 4*w**2 + 25*w**2).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776405 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-48) - (116\/(-290) - 24\/(-10)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -12*h. Solve h*u = -u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a81672 - -4?\nAnswer: -1a81669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:10 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -w - 385, -244 + 94 = -o - 4*w. What is the closest to 2\/3 in -0.4, o, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 7*k + 4. Let a be 10\/3*(-24)\/(-20). Let q = -9 + a. Give p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202 (base 3) to base 12.\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000792958197 rounded to 6 decimal places?\nAnswer: -0.000793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-46)\/6. Let f = y + 11. Let w = f - 6. Is 0.1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3\/6 - 9950*k**2\/3 - 39785*k\/6 - 3315 = 0.\nAnswer: -3978, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {p: 1, x: 3, u: 2, z: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -2520?\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12 - 1 - (-2)\/(-16)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 10:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 9) + 19 + 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(9\/(-2)))\/(6\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.5149371009 + -4.8850632181. Let k = 37.4 + q. Round k to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 89\nAnswer: -273\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let o(f) = -2*f**2 + 7*f + 2. Let t(g) = g**2 - 26*g + 55. Let w be t(24). Let s(i) = 14*i - 99. Let a be s(w). Determine a*o(j) + 5*c(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 526 = -477 + 959. Put f, -7, 5, -14 in increasing order.\nAnswer: -14, -7, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1615 and 102714.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24624 and 49248.\nAnswer: 49248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 48*x + 95. Let f(r) = r**2 - r - 1. Let o(b) = -5*f(b) - t(b). Let y be o(-15). Calculate the highest common factor of 60 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 48\/(-20))*10. List the prime factors of i + 0 - 3 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 6*k - 12. Let r(b) = 3*b - 51. Let p be r(19). Calculate the remainder when (p\/4)\/((-122)\/64 - -2) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 2*i**2 + 3*i + (-6 + 1 + 3)*(3*i - 5*i + 4*i)*(3*i + 3*i - i).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -157*s + 1057. Calculate the remainder when v(-23) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 2*w = 15*y + 5, 0 = -6*w + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 241*a - 854083 + 239284 - 3257107. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 11*q - 38 = 0, 13*b - 97*q + 101*q = 203 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16*g - 6 + 3 + 6.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6131 + 15794. List the prime factors of v.\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 8 + 12. Let i(d) = 2 + 17*d + 9 + 11*d - 6*d. List the prime factors of i(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 137*l**5\/12 + 169*l**3\/6 - 78*l**2 + 2. Find the first derivative of t(p) wrt p.\nAnswer: 1370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/((-640)\/16896*22).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 56*t + 528. What is v(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -256?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * -0.17.\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15.02. Let d = 0.1 - -0.02. Let h = d + j. Which is greater: 1\/5 or h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 165, 168, 171, 174, 177?\n\"Answer: 3*x + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 14) in base 3?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 130 = 5*z, -5*k - 86 - 64 = 5*z. Let w = z - -34. Solve -5*c - 2*l = w, -l - 10 = 3*c - 3*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7*h - 96 = 3*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0*q**2 + 0*q**2 + 2*q**2. Let a(u) = -4*u**2 - 1. Determine -2*a(c) - 5*w(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*7)\/(5432\/(-16684)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 16) to base 4\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1312867, 2625743, 3938619, 5251495?\nAnswer: 6564371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, 1\/6, -1, 226277.\nAnswer: -5, -1, 1\/6, 3\/8, 226277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -36*w. Let a(h) = -h. Calculate 60*a(l) - 2*v(l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**3 - 256*u**2 + 1586*u + 676.\nAnswer: 2*(u - 13)**2*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*2 + sqrt(68))\/(sqrt(100)*1).\nAnswer: -7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 + t**3 + 0*t**3)*(-547*t + 380*t + 3880*t + 6103*t + 680*t) to the form b*t**2 + x*t**3 + y*t + q*t**4 + i and give q.\nAnswer: 20992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 1116 - 7*z + 2227 - 1111.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7*a - 5)*((1 - 5 + 2)*(-2*a + 5 - 5) + 5*a - a + 2*a).\nAnswer: -70*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4022*z = h - 4017*z + 34, -z - 269 = 14*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 1, o: 2, r: 1}. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3\/5, 2, 460917\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1543*g**5 + 360*g wrt g.\nAnswer: -30860*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-4)\/96). Suppose 2*i = v*i - 12. Suppose i*q - 86 = 4*c, 2*q - c - 44 - 36 = 0. Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/5 + 8*y**2\/5 - 2*y\/5 - 8\/5 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + (-4 + 0 + 5)*(0 - 2 + 3) + (2 + 2 - 2)*(5 - 1 - 2))*(-1 + d**2 + 1 + (-4 + 4 + 2*d)*(-2*d + 2 - 2)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 73, -1 in descending order.\nAnswer: 73, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2904 - 2895. What is the remainder when 4021 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.44, 5, 3, 0, 1\/2, 1\/5 in increasing order.\nAnswer: -1.44, 0, 1\/5, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 11:13 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50879 or 50802?\nAnswer: 50879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/6 + 2\/3. Let v(y) = -10*y + 663. Let z be v(67). Which is the closest to z? (a) 1 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525019?\nAnswer: 3, 7, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/19, -4\/7, 9, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 4, x: 1, t: 1, s: 3, e: 1}. What is prob of picking 1 f and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*c - 80*c - 87*c to t*c + o and give t.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:07 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 + a**4\/2 + 7*a**3\/6 - 3*a**2\/2 + 327*a - 3. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1439 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -238384977 from 2.\nAnswer: 238384979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7749*r - 16*r**3 - 7752*r + 15501*r + 1.\nAnswer: -16*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.0816 (c) -1\/8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 4*z**5 + 2*z**5 + (-2 + 2 + 2)*(3*z**5 - z**5 - 3*z**5) - 3*z**5 - 2*z**5 + 3*z**5 + 3*z**5 - 189*z**2 - 3*z + 96*z**2 + 91*z**2.\nAnswer: z**5 - 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624924 divided by -104154.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + z + 12 = 0, -3*p = 3*z - 1 + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1250975, -1251104, -1251233?\n\"Answer: -129*y - 1250846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 11*y + 12. Let s(a) = 2*a**2 - 8*a + 8. Let n(j) = -5*k(j) + 8*s(j). What is n(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) 682516 (c) -3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.7 + -20.8. Let w = v + 13. Let y be 3\/9 + 8\/(-6). Which is the closest to w? (a) -3 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 54. Suppose 38 = 10*q - 8*q. What is the remainder when i is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(5\/12)))\/j**(-1\/41)*(j*j**(-28)\/j)\/(j*j\/j**(-28)) assuming j is positive.\nAnswer: j**(-28729\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from ldlldlddldlll.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 + 59942*u**2 = 0.\nAnswer: 0, 59942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -165?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 + 250. Let w be 1\/4*-3 - (-21)\/x. Suppose -4*i - 5*o + 1 = 0, -o + 4*o = 5*i + 8. What is the second biggest value in i, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 254*m + 44. List the prime factors of t(4).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let q(t) = -t - 3. Let w(i) = -3*q(i) + 4*y(i). Let l = 8 - 1. What is the remainder when l is divided by w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaa when three letters picked without replacement from ggiiabagabbi.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116635324.\nAnswer: 2, 13, 41, 227, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -349 + -5?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6262 = -4*c - 112, 5*m - 10288 = 6*c. List the prime factors of m.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 9. Let q = -1 + 5. Put -1, u, q in ascending order.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (sqrt(175) + 5*sqrt(175)*2)**2 - (sqrt(175)*-5*-5)**2.\nAnswer: -130550 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 12, -12*x + 24 = 2*w - 16*x. Sort -5, 4, -4, w, 56.\nAnswer: -5, -4, w, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2376 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1208, 1207, 1196, 1169, 1120, 1043?\n\"Answer: -j**3 + j**2 + 3*j + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z - 3*i + 39 = 0, i = -4*z + 40. Suppose 6*s - 3*s = -z, -3*o + 18 = -5*s. Which is greater: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1836*l - 1961*l + 3103*l)*((-3 - l + 3)*(6 + 1 - 4) + 0*l - 3*l - 2*l) in the form q*l**2 + f*l + s and give q.\nAnswer: 5552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b - 3. Let s(p) = 1. Calculate 2*s(o) + w(o).\nAnswer: o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Let y = 3.9 - q. Let i = 15 - 11. What is the nearest to -1\/3 in y, -3, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 920.4637kg?\nAnswer: 920463700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 1. Does 15 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1808450*p**3 - 6534652*p**2.\nAnswer: 10850700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*y = -3*o - 776*y - 16 - 38, -6*y + 17 = -1 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(1008) + 1)*5*6)**2.\nAnswer: 43200*sqrt(7) + 3629700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 17*y**2 + 18*y + 23. What is o(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3*b**2 - 7 + 15.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 5*t**2 - 3*t + 4. Let q = -64 + 67. Let b be a(q). List the prime factors of 1*-2 - 0 - (b + -37).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1364*n - 595 + 95 + 18*n**2 + 196.\nAnswer: 2*(n - 76)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36172660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 34 - 45)*(-8*c + 4*c + c - 11*c) to the form l*c + j and give l.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - -4) + -1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 4*f**2 - f + 2. Let y be h(3). Let j be (-4)\/(-3)*75\/y. Let m be j\/25 - 54\/(-10). Solve 7 = 3*p - 2*s - 0, 2*s = 5*p - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*c + 89 = 2*c, 5*j + 4*c - 68 = 0. Let u = -21 + j. Sort 2, u, 5 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 22 = -94. Let n(y) = 2 - 4*y + y**2 + 1 - 1. What is the units digit of n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16 - c + c - 11*c**2 + 5*c + c**3 - c. What is the least common multiple of 2 and t(11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1143 + 14?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -8, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -35) + (3 - -1 - 1) - (-9 + 13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -820*o - 1596*o - 338*o + 5496 wrt o.\nAnswer: -2754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 511243*q**2 - 4*q + 1. Let p be f(-3). Let m = -4398747925\/956 + p. Let x = m + 2\/239. Put x, -3, 0.3 in increasing order.\nAnswer: -3, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 + 4. Let l = -29 + 29. Let p be f(l). Solve c - 4 = 2*c - 3*o, -c + 10 = p*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*w + 9, -w - 1 = 5*g + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-3 + sqrt(5))**2 - ((sqrt(50) - sqrt(450))\/sqrt(10))**2).\nAnswer: 18 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8296 is divided by 2738?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513766720 divided by -383408.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eogwewffeww. What is prob of sequence of?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-9))\/(4\/12). Suppose -i*y + 8 = 20. Let z(j) = 21*j**2 - 2*j - 4. Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 6*z**2 + 4*z**2)*((1 + 0 - 3)*(-1 + 0 + 0) - 4 + 3 + 3)*(36 + 23 + z**2 - 17).\nAnswer: -4*z**4 - 168*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8*s + 200 = 0. Solve s = -10*v - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 91, 66, 21, -50, -153, -294?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13020 - -220?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -1\/2*w**4 - 12 + w**2 - 2\/3*w**3 + 2*w. Find q such that g(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183934960 divided by 10835?\nAnswer: -16976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 342, -0.31, -127, -0.5?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.2. Let m = s + 0. Let v = 28487 - 28491. What is the nearest to 0 in v, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/4 - 11*s**3\/3 + 7*s**2 - s + 52. What are the prime factors of m(12)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 1.5. Which is greater: v or -0.15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 114832*q**3 - 824493688*q**2 + 4943862096*q - 7414243236.\nAnswer: -4*(q - 14351)**2*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 37*a**2 - 1210*a - 57. Calculate the remainder when g(33) is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (14 - 8) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 16) + 2 + -2. Let j be -7*((-448)\/49 - q). Calculate the greatest common divisor of j and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, -1\/5, 1\/193, -1\/4, 2\/7, -3, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12996 by -5.\nAnswer: -12996\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17567650 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rky. Give prob of picking 1 y and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -137, -146, -159, -176, -197?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 26 + 4. Suppose -5*a + y = 3*s, -3*s - 9 = -4*a - 1. What is the second derivative of a*b**3 - b**3 + b + 2*b**3 + b wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129540 and 5207.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349464950.\nAnswer: 2, 5, 829, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r + 70. Let c be o(-18). Let j = c + -292. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.177\nAnswer: -1.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/(-16))\/(10\/(-45)*19\/((-2888)\/171))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 14, 48 in descending order.\nAnswer: 48, 14, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60 and -3.7809.\nAnswer: -63.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28200 + -20233. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1966*q - 444. Let o be z(16). Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426*a + 2871*a**3 - 1426*a.\nAnswer: 2871*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0331 - -42.2331. Let t = -42.877 + b. Let v = t - -0.7. Round v to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**4 - 21*x**4 - 6 + 0 + 9*x**4 + 8*x - x**3 - x - 2*x**2 as z*x**3 + u*x**4 + y*x + b + f*x**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 27*t. Let j(c) = c - 4. Let b(a) = 8*a - 16. Let s(h) = -4*b(h) + 16*j(h). Give w(s(z)).\nAnswer: 512*z**2 + 432*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 137 times -83\nAnswer: -11371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 - 231. What is the remainder when u is divided by 4 + (-2 - (-2 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -5)\/(0 + -2). Suppose -3 = -w*q + 3*y, -5*q - 4*y = -7*y - 3. Let r be (-4 + q)*5\/(-2). Calculate the greatest common factor of r and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -3243?\nAnswer: -3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 843)*4\/8. Let n be (-32)\/112 + x\/(-14). Solve 0 = 5*w + n - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12 - 8 - 1 - 1 - 86*j + 0 wrt j.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + w**2 + 26*w**2 + 11*w**2.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124928609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:55 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301 is divided by 62.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49503939.\nAnswer: 3, 83, 198811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -7, 284.39 in descending order.\nAnswer: 284.39, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 7, s: 10}. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 u when three letters picked without replacement from eejewrurxjej.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*a, -4*t - a + 0*a = -15. Let u(r) = -r**2 + 7*r - 10. Let o be u(t). Solve -6 = 3*m - 2*s + 5*s, o = 3*m + 4*s + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 14 + -9 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h + 60*h + 124*h in the form p + i*h and give i.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 7\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 325, -4, -5 in ascending order.\nAnswer: -5, -4, 1, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + (-3 + -13 - (60 + -96))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 53 = y, 3*y = -3. Let v(a) = -a**2 - 9*a - 5. Let t be v(-6). Suppose 3*z = -2*r + m, 3*z + t = r - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1736 + 7555 = 741*q - 17893 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/84 - 3428\/(-336). Suppose -4 - 6 = -l. Is i smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14999 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1495068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129710596 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3365 and 40?\nAnswer: 26920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from ucwxssc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c + 3. Determine n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 8, o: 4, c: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from xwwkwwxwxxw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187 + 2. What is the greatest common divisor of 35 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31262.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 + 8*r + 1. What are the prime factors of d(11)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*o**3*s - 328853*o**3 - 10*o**2*s + o**2 - 5031*o*s + 2*o + s - 4 wrt o?\nAnswer: 792*s - 1973118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -0.3 (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -2)\/((-16)\/(-672)) is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = -1. Let j = o - -2. Solve -h + 0 = -j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nxxnxxnnnxnbbxnnb.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:06 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 11*d**2 + 6*d - 2. Let n be p(10). Let h = 461 - 436. Let w = n + h. What is w rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*f - 397 + 27, 0 = 5*s + 5*f + 630. Is (-2 - 0)\/(4\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 1231\/10. Let h be (2\/5)\/((-1)\/(-15)). Suppose -m = h - 2. Sort -4\/5, i, m in decreasing order.\nAnswer: i, -4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2182298108.\nAnswer: 2182298103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355810 divided by 161.\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 2, j: 2}. What is prob of sequence jm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 2258*u**2 + 44560*u - 221800.\nAnswer: 2*(u - 1109)*(u - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3) - 1) + -12 - (-55 - (-8 + 94)).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**3 - 19*f**2 - 5. Let u(y) = -4*y**3 - 9*y**2 - 3. Let w = -8284 + 8287. What is w*j(l) - 5*u(l)?\nAnswer: -l**3 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526053 (base 8) to base 13.\nAnswer: 6194b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**7*f*f*f)**(33\/2)*(f*f**(5\/3)*f)**(-47) assuming f is positive.\nAnswer: f**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 224, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 252 = 8502. What is the remainder when m is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/2787456 and -23\/28560.\nAnswer: 13937280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/698*58 + (6 - 1). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 8*p + 46. Is 11 a factor of i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*m = -96, 4*v - m - 146 = m. Let w be (-3)\/5 - (-1036)\/v. Let u = w - 37. Is -2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/9 + 5\/5)\/(16\/(-32)). What is the third biggest value in j, -1\/2, 0.3, -56?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/75)\/(15\/(-50))*(-72225)\/25680.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3085445971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825.52 <= 2\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9538, -5374, -1206, 2966?\n\"Answer: 2*v**2 + 4158*v - 13698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:14 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136469878237 plus 5?\nAnswer: 136469878242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -70*d**2 + 827*d - 24. Calculate r(12).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 39*u**2. Let x(k) = -2081*k**2. Give y(x(w)).\nAnswer: 168891879*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*m + 4 = -2*j, j = -3*m + 4. Suppose j*t - 25 = -9. Suppose 5*b + 0 - 13 = -t*a, -12 = 4*a. Solve -4 = -g + 4*f, -b*f - 7 = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 + 1\/60*b**6 + 1\/3*b**3 - 1\/30*b**5 + 0*b - 1\/12*b**4 + 3*b**2. Factor y(c).\nAnswer: 2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -794 + 113540\/143. Do 0 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 5.03. Let y = x - -3. Let c = y + 1.99968. What is c rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9930\/(-1324))\/((-5)\/(-5)*7*-3).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5\/17 - 18*l**4\/17 + 608*l**3\/17 - 4288*l**2\/17 + 12288*l\/17 - 12800\/17 = 0.\nAnswer: -25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*3)\/(sqrt(196) + (sqrt(196) + sqrt(196)*-2 - sqrt(196)))*6)**2 - ((sqrt(120)\/sqrt(5))\/sqrt(8) + sqrt(243) + 1)*-1.\nAnswer: 10*sqrt(3) + 8797\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -183a11 + 4?\nAnswer: -183a0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -11*i + 10*i. Let w = i + -12. Solve -w*d + 2*v - 6*v - 32 = 0, 3*v = d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*v - 18*v + 41*v - 83*v - 64*v.\nAnswer: 138*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - -6) + -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268454295 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664 = 199*z + 266 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) + 2*sqrt(539)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -102 + 228 + -100.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/2 + p**2 + 34*p. Let a(g) = g**2 + 2*g - 5. Let o be a(-4). Determine x(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117445929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 586010741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125174.\nAnswer: 2, 7, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 9*o**2 - 2*o - 20. Let b be i(-9). Let k be (6\/(-4))\/(b + 148\/80). Is (-4150)\/(-6) + k\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1572 (base 9) to base 3.\nAnswer: -1122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7361 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-21) + (-53967819)\/(-1995). Let w = -27051 + o. Let q = 1809\/1520 - w. What is the common denominator of q and -109\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 18 = -2*c + 8, -20 = 5*c. Suppose 2*b + f*b - 100 = 0. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 8*t + 3. What is the remainder when -12*t\/30*390\/9 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20390115127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkktkii. Give prob of sequence iktt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1184 * 324\nAnswer: -383616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -40.5. Which is the nearest to 3? (a) 3 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/23 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9978724 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -365*s**2 + 69*s + 582. Let y(b) = -91*b**2 + 17*b + 145. Let t(m) = -2*w(m) + 9*y(m). What is the second derivative of t(o) wrt o?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, j: 9}. Give prob of picking 1 j and 1 e.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10919176, 43676722, 98272636, 174706918, 272979568, 393090586, 535039972?\nAnswer: 698827726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-15)\/(-20)*-4))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1972 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -5*r - 103, 5*r = 5*m - 155. Let d = 34 + -57. Let o = 37 + d. Calculate the remainder when m is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1 (c) 255\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881703 is divided by 935?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*l + 97*l + 2552 = 0. List the prime factors of l.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 12. Let b be (-4)\/1*(-10)\/(-2). Let i be q(b). Suppose -2 = i*s - 9*s. Solve -3*a + s - 4 = 2*f, f + 7 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**36)**11*(l\/(l**1\/l))**(-49)\/(l\/(l\/(l**0*l)))**(1\/57) assuming l is positive.\nAnswer: l**(19778\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174409 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -17. Let u = -8.2 - n. Let b = 0.29 + 0.81. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 44*r**2 - 42*r + 37. Calculate j(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose 2*r - 300000 = a*r. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105 take away -14108?\nAnswer: 16213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 t when three letters picked without replacement from lttllattlaaltalatta?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766360576.\nAnswer: 2, 311, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 11*u**2 - 5*u - 13. Suppose 2248 = -4*k + d, -1616 = 2*k - 2*d - 498. Let o = k + 552. Calculate w(o).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 9 - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 35. Solve y*d = 39*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 10*s**2 - 9*s. Let o be a(-9). Suppose o = 3*l - 3*h - 501, 2*l + 2*l = -h + 658. Is 3\/(2 + (-321)\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaaa when four letters picked without replacement from {a: 4, x: 5, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose h + 5*h + 6 = 0. What is the nearest to -0.1 in -0.3, y, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gglglslllsgs. Give prob of picking 2 l and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 - 1144216*b**3\/3 - 54551260608*b**2 + 4576864*b\/3 + 654615127328\/3 = 0 for b.\nAnswer: -286054, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 5*x)*(-3 - 3 + 5) - 5 + 0 + 0 + 2*x.\nAnswer: 6*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1145 = -5*v - 968, 5*x = -3*v + 2595. What is x rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31712558.\nAnswer: 2, 19, 61, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8750*c**3*v - 7*c**3 + 3*c**2 + 2*c*v - 25241360*c wrt c.\nAnswer: 52500*c*v - 42*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.6, -0.5, 3\/7, -167, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (111\/(-12))\/((1\/(-12))\/1). Let r = 115 - c. Solve -d = 5*i - 14, d + r*d = 4*i + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 462?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101010 (base 2) in base 12?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 2840463.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:45 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20195, 20188, 20177, 20162?\n\"Answer: -2*y**2 - y + 20198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248 less than -3850759037?\nAnswer: -3850759036.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 663464935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k**5 - 17*k**3 - 8*k. Let h(u) = 8*u**5 + 6*u**3 + 3*u. Let j(x) = -17*h(x) - 6*m(x). Find the second derivative of j(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-1 + 0 + 0) - 3 + 7 + 0)*(2*u**4 - 3*u**4 + 3*u**4).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 4 = 15*j. Solve -3*r + 5*v - 25 = j, -2 = -0*r + 2*r + 4*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6495965 or -6495967?\nAnswer: -6495967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let a be c\/5 + 3\/15. Suppose a*b = 3*b - 24. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3648 and 1197152?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/3 - 5899457*g\/3 - 5899456\/3 = 0. What is g?\nAnswer: -5899456, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001031741 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1103542*b**2*t**3 + 6*b**2*t**2 - 178*b**2*t + 5*b**2 + 44*b*t**4 + 28*b + t**2 + 2 wrt t?\nAnswer: -6621252*b**2 + 1056*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4114649mg to nanograms.\nAnswer: 411464.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 5*k**2 + 7*k**2 + (-3*k - 4*k - 22*k)*(2*k + 7*k - 16*k) to n + t*k**2 + p*k and give t.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 10 = -12*z. Let s be z + 3\/(-2 + 1). Is (-996)\/s + -2 + (-13 - -12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*u**3 + 403*u**3 - 210*u**3.\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*z + 32*z + 208. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 19*t + 21. Suppose -3*m + 24 = -4*k + 3*k, -m + t*k = 0. Is (-27)\/(-18)*(-958)\/m*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p - 6*p + 0*p + (3*p - 2*p - 2*p)*(-1 + 5 - 3) + 0*p - 3*p - 6*p to the form k + s*p and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 - 243.8. Let d be (6*4\/(-32))\/(-9). Let q = d - -1\/4. Which is the closest to 0? (a) 1\/8 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/55 or 461519?\nAnswer: 461519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 - u**3 + 0*u**2)*(7 - 7 - 38) as g + q*u**2 + m*u + t*u**3 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 20795*c - 124802. What is h(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 156. Let g = v + 50.68. Let y = g - -3.62. Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760424416 divided by 4.\nAnswer: -190106104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6044670 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:00 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 42108?\nAnswer: -42062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -204*a. Let j(k) be the first derivative of -2*k**2 - 1099. Determine j(r(w)).\nAnswer: 816*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0925 + -0.06764. Round k to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:35 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 62 = -4*w, 0*w + t = -2*w + 38. Suppose 8*i = 7*i + 20. Let o = 2 + i. Calculate the lowest common multiple of w and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6269519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12.7 or 85078?\nAnswer: 85078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17716 + 27643. Let d = 555887\/56 - y. What is the common denominator of d and 125\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(20\/(-6))*(-140)\/21. Let j be (27\/(-45))\/(17\/r + -2). Let k(p) = 5*p**3. Let m(u) = 36*u**3. Give j*m(x) - 15*k(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2946*n - 2923*n + 184 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 8, l: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*c**3 + 8261*c**2 + 160*c**3 + c - c.\nAnswer: 2*c**3 + 8261*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 13\/26 + (-52)\/8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*r - 51*r + 98*r + (-2*r - 2*r + 5*r)*(-11 + 1 + 2).\nAnswer: 122*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235416 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 504522 divided by -18?\nAnswer: -28029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 40 = -8. Let o = h - -19. Suppose 3*k - 2*v - 25 = 0, 4 = -2*k - 5*v - o. Which is the smallest value? (a) k (b) -0.04 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9.000038. What is v rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/144 and -16\/36945.\nAnswer: 591120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 39*l + 2341. Let w be j(-60). What is the third biggest value in -6\/5, 0.3, -2.9, 3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r. Let w(x) = -10*x + 1. Let q(p) = 4*w(p) + 3*y(p). Suppose 122*n = 104*n - 126. What is the tens digit of q(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12621986 divided by 48?\nAnswer: 6310993\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -143993 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 8*v - 5*v)*(-3948*v - 3215*v - 2833*v - 1499*v - 626*v) as i*v**2 + u + h*v and give i.\nAnswer: 121210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 22. Let i be b(0). Let k be (-11)\/(i\/28) + -3. Suppose 0 = k*y - 2*y. Is -5 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 1\/(-15). Let o = -58 + 54. Put h, 0.4, o in decreasing order.\nAnswer: 0.4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 9*d**2 - 5*d + 14. Give z(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 127*c + 210 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*y - 171 = -954, -4*z = 5*y - 651. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 40?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -218, -6, 4, 45\/2?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315505806 a multiple of 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 275.519\nAnswer: -304.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from jttggggjtgunttg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p - 4 - 1490*p - 402*p - 202*p + 4.\nAnswer: -2190*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386 - 388. What is the third smallest value in -6, u, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 571 + -392. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/1816 + 94447\/9080. Let r be 1 + 284\/(-72) + 3. Let y = 193\/18 - r. Calculate the common denominator of v and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18616546 divided by 170794.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 1, n: 1, w: 1, s: 1}. Give prob of picking 1 h, 1 m, 1 n, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let t = 6692 + -6696. What is the smallest value in t, b, 2.3, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -31 (b) 0.4 (c) 94 (d) -2 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1003968 and 13363?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/2*u**2 + 5*u + 38. Let c be (-60)\/14 - (-4)\/14. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402487.\nAnswer: 402487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12744176 is divided by 2804.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -608379 divided by -5?\nAnswer: 608379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:54 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -133. What is the highest common factor of 45 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*n**3 + 52*n**3 + 0*n + 63 + 0*n wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*l - 6*l - 124, 221 = 3*t + l. Calculate the remainder when 1222 is divided by t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 7) to base 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8 = -4*j, -5*j = -2*r + 23 - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/7 + 960*x**4\/7 - 81170*x**3\/7 - 1183140*x**2 - 16769480*x + 1018773552\/7 = 0.\nAnswer: -34, 6, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let t = 2004 - 2004. Which is the closest to -2\/5? (a) v (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 42180.\nAnswer: 42180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1641.672 + -714.285. Let d = 927 - b. Round d to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 2. Let m(h) = 2*h**2 + 16*h + 20. Let n(z) = -2*f(z) - m(z). Factor n(w).\nAnswer: -2*(w + 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 2*o**2 + 207*o - 43. Calculate the remainder when c(-14) is divided by 196.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 125 - 2115 = 0. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**7\/42 + 11*u**6\/12 + 7*u**5\/4 + 86*u**2 + 2. Factor t(p).\nAnswer: 5*p**2*(p + 1)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*s**2\/21 - 15178*s\/21 - 1168\/7.\nAnswer: 2*(s - 584)*(13*s + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2028, 2026, 2024, 2022?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/17522856 and -43\/4043736.\nAnswer: 52568568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*a + 0*a = -22, 4*d + 64 = 4*a. Let s = -6 + 0. Let j = s - d. Calculate the remainder when 14 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455961063.\nAnswer: 3, 17, 67, 133439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -24*c**2 + 3*c - 1. Let m be l(2). Let h = 131 + m. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sexscsr. What is prob of picking 1 r and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/12 + 2*y**2. Let p = -10 + 5. Let u(z) = 6*z. Let h(f) = -9*f. Let i(x) = p*h(x) - 7*u(x). Determine i(a(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10437 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*30.2\nAnswer: -12.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 350294 and -0.12.\nAnswer: 350293.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2552*u - 1279*u - 9*u**2 - 1280*u + 8. Let y(s) = 4*s**2 + 3*s - 4. Let f(o) = -3*q(o) - 7*y(o). Factor f(h).\nAnswer: -(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b - 2*j + 173, 5*b - 3*j = 852. Let l = -28 + 47. Calculate the highest common factor of b and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 2 - 395*o + 3*o**2 + 395*o to the form u*o + n*o**3 + c + k*o**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + -4*1. Let j = 18.09 - 19.09. Let r = 5.7 - 6. What is the nearest to j in 4, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from rrereoz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) - (141\/27 + 3). Let m be c\/(-6) + 10\/6 - -2. Suppose 0*u + m*u = -n - 9, 0 = 5*n + 3*u - 65. What is the remainder when 26 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 + (2 - (-14788)\/70). Let q = d - 212. Factor 2\/7*m + q*m**3 + 2\/7 - 10\/7*m**2.\nAnswer: 2*(m - 1)**2*(3*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111462272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/49014 and -31\/392112.\nAnswer: 392112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -137*m**2 - 186*m**2 + 324*m**2 - 16 + 11*m. Give i(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-4) + (-830571)\/(-84) + 4?\nAnswer: 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -319 (b) -58\/7 (c) 0.3 (d) -2 (e) 0 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 26. Let s be 1*(-5)\/(h\/(-27)). Let u = -2 - s. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/44 and (-35)\/20 - (-282)\/132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 8}. What is prob of picking 4 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8 and -31\/29.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - x**2 + 5*x - 3. Let h be g(2). Let b be (195\/h)\/1 - 16\/72. What is the highest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:00 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6063*q**2 - 11*q**3 - 129*q**3 - 17*q**3 + 6063*q**2 - q.\nAnswer: -157*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107 or -110?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 + 13*t + 5. Let f be n(-5). Let w = 152 + f. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 68*b**2 + 76*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49*(-252)\/16464*64\/(-84).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0597300467 to 5 decimal places.\nAnswer: 0.05973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 0*f - 3*f)*(-2 + f**2 - f**2 + f**4 - 2*f**4 + f**4 - 6*f**4 - 5*f**4 - 3*f**2 + 3*f**2 + (2*f**2 - f**2 + f**2)*(3*f**2 - 4*f**2 + 3*f**2)).\nAnswer: -14*f**5 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00786 rounded to 4 decimal places?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = 3*u - 18, -4*u - r = -5. Let m be (-1)\/u - (-21)\/6. Suppose m*a - 27 = -0*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 99*h - 15. What is s(33)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488761?\nAnswer: 3, 11, 23, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*g + 10*g - 4*v, -v = -2. What is the remainder when 26 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3522073*c**2*i**2 + 46663*c*i**2 + 7*c*i wrt c?\nAnswer: -7044146*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*x + 194 = 903 + 3295 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 256332 (base 7) to base 5\nAnswer: 3012342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46137576 by 4.\nAnswer: 11534394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7308, 29758, 67168, 119532, 186844, 269098?\n\"Answer: -w**3 + 7486*w**2 - w - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5)\/(11\/(-22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*z + 4, 4*r + 4*z - 8 = 8*r. Sort 2, r, 3, -2.\nAnswer: -2, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:00 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.358 and -1588.\nAnswer: -568.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*p + 30. Let r be (-2)\/((-4)\/(-18)) - -2. Put -3, r, p in ascending order.\nAnswer: r, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**3 - 16*p + 7. Let f be r(4). Let w = -291 - f. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*1 + 101 + -24. Suppose 0 = -84*n + x*n + 6718. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1774 = -4*l - 0*u, 3*l + u - 1323 = 0. Calculate the highest common factor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 380*i + 16 - 5 + 747*i - 5 - 376*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 917 - 328 + 0*h - 308 - h.\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0 - 4*c**2 + 1\/30*c**5 + 0*c**4 + 0*c + 5\/6*c**3. What is the first derivative of y(v) wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(z\/z**(-2)))**(-7\/6) assuming z is positive.\nAnswer: z**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 1. Suppose 7*z - 525 = 4*z + w, -5*z - c*w = -855. Suppose -2*r - r = -z. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69 - (-2 + 5 + -2). Let v = 296 - p. Suppose c - 3*c - 2*t = -v, 2*t + 8 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -5)*(-8)\/(-6). Let u be 4*3*8\/(-24). What is the units digit of u\/(-3) - v\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2520.15 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 4:27 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 28536396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and -9\/34720.\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 3*i**2 - 3*i - 1. Let a be s(4). Suppose -a*o = -5*o - 3*g + 25, -2*g + 30 = 2*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -24 (c) 0 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -402, -591, -774, -945, -1098?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 479, 478, 477, 476?\n\"Answer: -g + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10274696*d. Let g(p) = -28*p. Give g(j(o)).\nAnswer: -287691488*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(4\/5)*a*(a\/(a\/a**(-2\/15)))\/a*(a*a*a**(-4)*a)\/((a**(-3\/13)*a)\/a*a*a) assuming a is positive.\nAnswer: a**(-527\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 324 = 9*y. Differentiate 53*g - y*g - 7 - 6 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -14. Let v = t + 13. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003377268 to seven dps.\nAnswer: 0.0003377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*o = 73*o - 8*o + 164*o + 30660 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4970 and 3531540?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*i - 57*i + 21*i)*(7*i**2 - 2*i**2 - 3*i**2) as s*i**3 + g*i + t*i**2 + v and give s.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*400\/(-8100)*6\/(-40)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -1. Let i(o) = 2*o - 1. Let f be i(2). Suppose -3*d = -f*w, -6 = 3*d - 3. What is the third biggest value in x, w, 2\/15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, a: 3}. Give prob of sequence eeee.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -13*q**3\/3 - 17*q**2\/2 - 11*q - 125. Let z(t) = -6*t**2 - 8*t - 5. Give -4*v(k) + 9*z(k).\nAnswer: -2*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3333 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -d + 35, -3*u - 110 = 17*d - 21*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11447266.38 and -0.2.\nAnswer: -2289453.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**2 - 188*l + 1932. What is d(11)?\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1630, -1629, -1626, -1621, -1614, -1605?\n\"Answer: u**2 - 2*u - 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1653.3 to the nearest 10.\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3082218 divided by -2846\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 20. Let h = -15 - i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -558 = -557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 - 1\/4*m**4 - 1\/2*m**2 + 0*m**3 + 9*m. What is the first derivative of j(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621005706 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 91020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:59 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 13084951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 3*l**2 + 4*l + 2. Let j be (-2)\/(3\/((-18)\/(-4))). Let g be q(j). Suppose 0*b + 4*b - g = 0. Calculate the least common multiple of 8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14344 - 0.44344. What is the nearest to -11 in -11, c, -0.1, 0.7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2))**2*4 - (1 + -2*sqrt(13)).\nAnswer: 2*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:25 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 4*v**2 - 2*v**3)*(v + 0*v + 2 + 0*v)*(702 + 3985 + 1200) in the form g*v + m*v**4 + i*v**3 + z*v**2 + f and give m.\nAnswer: -11774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (6\/6 + -1128)\/(-1) + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 46 = -2*f + 5*d, 4*f + 4*d = 64. What is the lowest common multiple of 11 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(320))**2 + 2.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -10*k + 84031 + 25619. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*n - 135*n + 242*n)*(-2*n + 4*n - 4*n) + (n + n + 0*n)*(4*n - 3*n - 2*n) to m*n**2 + z*n + q and give m.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 7303 + 6504 = 14*c + 33*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 6673?\nAnswer: -12678.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2)**2 + 2.\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2899*y**2 + 630*y + 2543. What is the ten thousands digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49303, -49133, -48849, -48451, -47939, -47313?\nAnswer: -46573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(1216))**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-8 - (-4 + 1)) + (69 - 79)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487842 is divided by 1862.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4800222 and 7556?\nAnswer: 4792666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 239, 480, 723, 968?\n\"Answer: n**2 + 238*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -910977 and -518.\nAnswer: 471886086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/((-28)\/(-7))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20778901 and -31\/121.\nAnswer: 228567911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c - 1. Let p(s) = 3*s**3 + 14*s**2 - 56*s + 76. Let q(i) = -4*a(i) - p(i). Solve q(d) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2792 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*m - 33, 5*m + 144 = 35*f + 47 - 143 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2, 0, 1\/5, -2\/9 in ascending order.\nAnswer: -2\/9, 0, 1\/5, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.04, 2\/5, 3, 5, 193.\nAnswer: -2.04, 2\/5, 3, 5, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311620 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 5*n = -6*q - 45, -n = -6*n - 7*q - 11*q - 107 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/252*(-6390)\/355?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 36. Suppose 5*j - 412 = 44*l - 48*l, -4*l + 252 = 3*j. Calculate the greatest common factor of d and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/7? (a) 2\/5 (b) -2 (c) -1\/5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + 54 - 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -156*t - 2. Let y be a(1). What is the units digit of (y*(1 + 0))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1366 + 1367. Put 11, b, 23 in decreasing order.\nAnswer: 23, 11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -53. What is the remainder when r is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11363?\nAnswer: 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + -6 + (3 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 + 19*f + 36. Let m be l(11). Let i = -11 + 8. What is the units digit of m*(0 + (-1)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-50)*56\/(-21).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -788 - -793. Let s(r) = -r**3 + 7*r**2 - 9*r + 11. Give s(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 7. Let q be (m\/(-3))\/(1 + 0). Differentiate -10*w**2 + 3*w**3 + 10*w**q + 3 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(2 - (4 - 2)). Suppose c*q = q. Solve -2*y - 2*y - 12 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*l - 5*i + 3*i, 6 = -l + 4*i. Suppose -14 = 2*h + 4*d + 2, -2*h = 2*d + 6. Suppose -h*p - 232 = -l*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 14*f + 50. Let r be 5652616 + 5\/f*-1. Let p = r - -3647385. What is p rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46450 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/24*(-6)\/(-10) - (-350)\/(-49).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5 + (5 - 21) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33926 - 8*y**2 - 16961 - 16965.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28429 is divided by 4496.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 65 = -4*g - 7, -6 = 3*g - 2141*n + 2144*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 5, -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 14\/(-2 - 5). Put 3, n, -0.2, 0.3 in ascending order.\nAnswer: -0.2, 0.3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.93*10.7.\nAnswer: 9.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*y**4 - 35*y**3 - 45*y**2 + 35*y + 5.\nAnswer: 5*(y - 1)**2*(y + 1)*(8*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -21*v**2. Let j(o) be the second derivative of -2*o**3\/3 + 115*o. What is j(h(a))?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 17 = -5*d + m, -2*m = -5*d + 19. Is (-1)\/(4\/((-3516)\/d)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 281045*f**2 - 78979546513*f\/2 + 947916446988.\nAnswer: -(f - 24)*(f + 281057)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1065, 1799, 2533, 3267, 4001?\nAnswer: 4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -25, 4*m + 5*j - 20 = 13. Is (8\/(-4))\/(m + 2232\/(-1114)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-15))\/((((-3200)\/24)\/20)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -18*k + 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 21*a + 48 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145358472.\nAnswer: 2, 3, 7, 293, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45241 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**3 - 6*t**2 - 4. Let x(f) = -f**3 + f**2 + 1. Let u be 2\/4*3 + 330\/(-132). What is u*l(m) - 5*x(m)?\nAnswer: -9*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 51. Suppose -x = -2*z + 41. Calculate the remainder when z is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-138018)\/(-102) + (-24)\/204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -24 + (-22 - 9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/5 (c) -2.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 19*i**2 + i - 20. Calculate j(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.4. Let g = 4.03 + -0.03. Let x = g + -4.1. What is the second smallest value in x, 2, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -1, 27175, -21.\nAnswer: -21, -5, -1, 9, 27175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b + 6*b - 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + 3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by -48262\nAnswer: -61\/24131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -51 + (-6 - -27)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15726837?\nAnswer: 3, 7, 61, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/4 - 131\/28. Let h = 228 + -148. Let l = h + -80.2. Put l, c, -5 in ascending order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*l - 31 = 5, 4*g = -4*l + 160. Is g a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*z + 8*z**5 + 12*z**5 + 10*z**5 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**3 - 3*p**2 - 3*p - 1. Is w(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -419\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:53 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*h - 32, -3*s + 1 = -7*s - 3*h. Let n = s - -8. Suppose 0 = -5*w + 5, -3*z - 26 = -3*w - 11. What is the third smallest value in n, 0.3, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 110 = 5*d + 1181, 3*c - 251 = d. Let k be -20*13\/(d\/(-8)). Sort 7, -4, k, 4.\nAnswer: k, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-1) - (-17890)\/10 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15141 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -14. Let f(t) = -t**3 + 11*t**2 - 3*t + 6. Let h be f(9). Let s = h + -71. What is the greatest common divisor of s and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18637 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -9, -10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 2 j when four letters picked without replacement from xjxagnt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = -2*d - 2, -5*d - 37 = -4*k. Suppose -v - 426 = 3*s + 151, -s + k*v - 189 = 0. Is 13 a factor of -13 + 9 + s\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*d + d + 6 - 6 to y*d + g and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158 - 2?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5723\nAnswer: 3\/5723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 3. Let z = -0.5 + y. Let m = 2 + -7. Which is the closest to 1\/5? (a) z (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29504695796 - -0.069.\nAnswer: -29504695795.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*b**3 - 24*b**3 + 8*b**3)*((-b + b + 2*b)*(2 + 1 - 2) + b + 3*b - 2*b).\nAnswer: -1228*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4552 is divided by 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2858 - -2824) + (-642)\/(-19)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*p - 32 = -536*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1297, 1381, 1465, 1549?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/19 + (-315190)\/(-190). Let w = -1174 + n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129840130 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -833192 and 65383173?\nAnswer: 66216365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.65 - 0.65. Let g = b + -37. What is the closest to 0 in g, 26, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -871*k**2. Let z(i) = -26*i**2 + 5 + 2*i**2 - 5 + 26*i**2. Calculate z(a(b)).\nAnswer: 1517282*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/60 + i**2\/10 - 6*i. Factor o(c).\nAnswer: -(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)\/h)**(2\/9)\/(h\/(h\/(h**(5\/4)*h*h)*h)*h*h*h**(2\/5)) assuming h is positive.\nAnswer: h**(-6259\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 251605006.485?\nAnswer: -251605007.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 108. Calculate the lowest common multiple of (3 + n\/15)*5 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7*o = -5*o + 2015. What is the greatest common factor of 7595 and o?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 + 2 = 0. Let b be (-6)\/(-4) + a\/6. Let f(l) = 2*l**3 - l**2 + l - 1. Let s(v) = -v**2 + v - 1. Let z(x) = b*s(x) - 2*f(x). Factor z(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5304966 and 561736.\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -73, -172, -311, -490, -709?\n\"Answer: -20*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b**2 + b - 2. Let o(x) = -x + 1. Let f be ((-960)\/1680)\/(2\/7). Give f*i(v) - 2*o(v).\nAnswer: 30*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 58*m**3 - m**2 + m - 1. Let c be g(1). Suppose -j = -n + 28, -2*j = -0*j - n + c. Let v = -21 - j. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9653.51651 to the nearest 100.\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 2*j - 3810*j**2 + 48 - 994*j**2 - 31.\nAnswer: -4804*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let m(q) = -q**2 - 68*q + 213. Let o be m(3). Put i, 34, o in increasing order.\nAnswer: o, i, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*m**4 - 190*m**2*q**2 - 2*m**2*q + 449*m - 30*q**2 wrt m.\nAnswer: 1584*m**2 - 380*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -38. Is y a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.23 + -2.77. Let s = 34.9 + p. Let m = 0 - 0.2. Is s equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30644, -61205, -91764, -122321, -152876, -183429, -213980?\n\"Answer: x**2 - 30564*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 4. Let o(j) = 2*j + 12. Give -6*o(z) + 11*p(z).\nAnswer: -z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3 + 1. Suppose 23 = 4*o - 5*t, -3*t - 11 = 2*o + 2*t. Suppose o*d = -2*d + 12. Solve -b*g = g + 9, -2*s + d*g + 9 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6 + 10. Let a(c) = -2*c**2 - 43*c - 19. Let t be a(-21). Is t equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*p + 25 = 0, 0 = 5*q + 4*p + 4 - 30. Solve 2*w - 12 = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 910 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) + (-19645)\/(-10). Suppose -y = 16*h - 31*h. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*g**5*w**2 + 2*g**5 + 35*g**2 - 33*g*w**2 - 54*w**2 wrt g?\nAnswer: -960*g**3*w**2 + 40*g**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 12.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 10*w + 90, 617874 = 4*m + 2*w + 617834 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/160 - 127*q**5\/80 + 527*q**4\/4 - 2883*q**3\/2 + 49*q**2 - q. What is l in a(l) = 0?\nAnswer: 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.19 (b) 0.3 (c) 3\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42856 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2. Let t be -4*(2 - (-10)\/(-4)). Suppose t*k + 4 = -0*k. Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 33*r**2 + 11*r + 1428. Give o(-32).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(sqrt(17) + sqrt(17) + sqrt(272))**2 - (2*sqrt(153)*-5)\/sqrt(9).\nAnswer: 10*sqrt(17) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3801 - 0.1299. Which is the second smallest value? (a) -1 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -456 (c) -0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 59. Suppose -14 = -3*h + 4. Let c = o + h. Solve -c*l = 20, -3*l - 18 = -d - 0*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4799*i**2 - 105085*i - 204. Calculate t(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4071953, -8143924, -12215895, -16287866?\n\"Answer: -4071971*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 194575.80668625 + -1111.33671185. Let a = -193464 + j. Let v = -0.47 + a. Round v to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.152, -4, -3?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263854 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 4}. Give prob of picking 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 0, s + 0 - 3 = -p. Let v(b) = b**2 - 1. Let x(y) = 3*y**3 - 6*y**2 - 1. Let w(o) = s*x(o) - 6*v(o). Find the first derivative of w(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**3 + 2*u**3 + 7*u**4 - 13*u**3 - 2 + 2*u - u**2 to h*u**3 + g*u + j + b*u**2 + o*u**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 501949364398 and -6?\nAnswer: 501949364404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-132) - 99\/(-12)) + -7. Solve g - 10 = -9*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:54 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 478*f = -163*f - 735, t = 4*f + 13 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/(-2288) + ((-276)\/104 - 0))*(-12)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4938 and 18.\nAnswer: 14814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 w, and 1 u when four letters picked without replacement from hhfhiihwhfrhwuh.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 9)*(3*p**2 - 2*p**2 + 11*p**2)*(-2*p**2 + 0*p**2 + p**2).\nAnswer: -60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6. Let i(s) = 2*s**2 + s**3 - 4*s + 5*s**2 - 2*s**3. What is the units digit of i(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -66654 (base 12) in base 16?\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 19 = j, c - 6 + 1 = -2*j. Find the second derivative of 886 + 4*o**3 + 0*o**3 - 894 - j*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 51.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.15 (b) -27 (c) -147 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24854*j - 24853*j + y + 9, 8 = 3*j - 4*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -26. Let y = w + 28. Suppose y = -4*g + 6*g - 46. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*m = 0. Let k be -4*(-3 + 5)\/(16\/(-4)). Suppose -k*s - 2*l = 2*s - 24, -4*s = l - 22. Solve -2*j = v - 6*j + 11, -s*v - 3*j - 9 = m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {g: 1, c: 1, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + r**2 + 46*r**3 - 40*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 877 - 878 + d**2 + 2*d**3 - 557*d - 580*d as q + f*d**3 + r*d + t*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 1549\/17. Sort -0.2, -2\/15, h.\nAnswer: -0.2, -2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 20*v = -16. Do 3 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o + 5. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (3 + 1) - (189 + 10 + -264)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40304, -80609, -120914?\nAnswer: -161219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 7*d**5\/15 + d**2. Let v(l) be the second derivative of -7*l**4\/12 - 101011*l. Calculate v(x(f)).\nAnswer: -5488*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -52. Let t = 378 + -368. Factor 6 + t*x + 2\/3*x**g + 14\/3*x**2.\nAnswer: 2*(x + 1)*(x + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let k = 397\/6 + -66. Let w(t) be the second derivative of 0*t**3 + 0*t**2 + t - k*t**4 + 0. What is v(w(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (1 + -6 + -4 - -8) + -7 - 41?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. What is the third derivative of -6*d**4 + q*d**2 + 72 - 72 wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**3 - 8*d**2 + 4. Let f(s) = -17*s**3 + 13*s**2 - 7. What is 4*f(l) + 7*z(l)?\nAnswer: -5*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Find the second derivative of -7*m**2 + 4*m**t + 3*m**2 - 10*m + 8*m**4 wrt m.\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 9*c + 155, 28*j + 66 = 26*j - 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 78. Let a(i) = 3*i. Let t be a(-3). Let w = u + t. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8700\/18)\/5*(-2)\/(-222). Let s = q + -24\/37. Which is the fourth biggest value? (a) -0.08 (b) -2 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 + (8202 - 8181 - ((1 - 1) + 13))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s. Let l = 416 + -415. Let y(t) = -t**2 + 2*t. Give l*y(f) - 2*h(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015041657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18684283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11378*b - 505. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -3*o + o + v, 5*v = o + 73. Let z = -38 - o. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1. Let z(y) = -3*y**2 + 27*y - 18. Let d(u) = -6*h(u) - z(u). Factor d(i).\nAnswer: 3*(i - 8)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*((-2)\/3 + 2))\/(-2). Let i(c) = -n - c + 17 - 9. Let k(x) = 3*x + 15. Let r(j) = 1. Let l(f) = -k(f) + 15*r(f). Calculate i(l(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 123.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4495)\/715 + 3\/(-39) + 6.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 29*l**2 + 3*l + 0*l**4 - 5 + 2*l**4 + 32*l**2 wrt l.\nAnswer: 24*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + sqrt(252) + 1))**2 - ((-2*sqrt(7))**2 + 0 - -4*(sqrt(7)*-2 + sqrt(7))).\nAnswer: 292*sqrt(7) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214 or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 402062.67 times 2\nAnswer: 804125.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41202333?\nAnswer: 3, 4578037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1186 and 297376.\nAnswer: 298562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycy when three letters picked without replacement from {c: 2, y: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**3 - 25*z**2 + 157*z + 239. Calculate i(7).\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**3\/3 - u**2\/2 + u - 2. Let w(l) = 3 + 183*l - 176*l - 7 + 7*l**2. Calculate -6*d(h) - w(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*n - 19*n - 141*n - 190*n to the form m + v*n and give v.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 3:51 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 4*r. Let y = 10 - r. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - a**2 - a + 13. Suppose 0*w + w = 0. Let n be z(w). Let v = n - 9. Solve -j = v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -414 + 414. Let o(t) be the first derivative of 0*t**4 + 1 - 4\/3*t**3 + 0*t**2 + y*t**5 + 1\/6*t**6 + 0*t. What is the third derivative of o(r) wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -22031?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123550 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) - (sqrt(170) - (sqrt(170) + 1*sqrt(170) + sqrt(170) - sqrt(170)))))\/sqrt(10) - ((sqrt(1088) + 0)**2 + 1).\nAnswer: -1089 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018186 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/4 + 114\/76?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-1)\/((-2)\/18). Suppose 5*l = -10 - t. Let b = 3\/655 - 2641\/4585. Put l, -2\/5, b in descending order.\nAnswer: -2\/5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(245))*-4)**2 - (sqrt(245) + -2*sqrt(245)*-1)**2)*5.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*w - 231 = -1115*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 58*m**2 - 4*m - 67. Let l be 558\/54 - 4\/3. Is h(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*z + 8. Let n(r) = 27*r**3 + 3*r**2 + 18. Let p(f) = -33*f**3 - 4*f**2 - f - 20. Let t(u) = -6*n(u) - 5*p(u). What are the prime factors of t(z)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1153369 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19233 (base 11) to base 3.\nAnswer: 1100220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1367 + 2164 = 4*o + 3*m, 0 = 4*m + 12. Let s = o - 1915. Round s to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 3. Let k(o) = o - 14. Let j(w) = 14. Let y(t) = -5*j(t) - 4*k(t). Let g(l) = -11*v(l) - 2*y(l). Differentiate g(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*c**2 - 20*c**2 - 41*c**2)*(-1 + 3 - 4)*(1 - 1 + 1) in the form a*c**2 + w*c + q and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-16))\/((-8)\/64). Which is the third biggest value? (a) 4 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 13, 36, 81, 154?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415962?\nAnswer: 2, 3, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 25*p + 7*p)*(3 + 1 - 2)*(17 + 21 - 2)*(-3*p**2 - 4*p**2 + 4*p**2).\nAnswer: 4968*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17774296780 rounded to the nearest one million?\nAnswer: 17774000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 + -3.5. Which is the closest to 2\/7? (a) 1\/3 (b) 3 (c) 4\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -44445*f**2 + 3*f - 4. Suppose 2*m - 2*w - 1 = -5, 0 = 4*m + w + 3. Let y be m - -1*4*1. Let h be t(y). Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 107 + 11*z**2 + 5*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) - 122\/(-10). Suppose 0 = 4*y - n. Suppose t + 3*t = -y*k + 31, 3*k - 35 = -2*t. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 g, and 1 x when four letters picked without replacement from rxgxgxxgxg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582171*n**4 + 8*n**3 - 5128980*n**2?\nAnswer: -13972104*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 4)*((-37)\/(-22) - 1) + -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -26 - 9. Let j(f) = 7*f - 12*f + 6*f - f**3 - 7 + 7*f**2. Let y be j(h). Solve y = -5*m + 5 - 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0 + 1 - -3) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 125*g**2 + 435*g - 315.\nAnswer: 5*(g - 21)*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by 34452.\nAnswer: -8\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -3334?\nAnswer: -3334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468 = 103850*k - 103876*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*r + 40 + 82 = 0, r - 188 = -5*u. Suppose 2*g = u + 32. Let d = 61 - g. What is the greatest common factor of 104 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 4*c**3 + 0*c**3 + (-2*c**2 - 3*c**2 - c**2)*(-34 + 12*c + 34).\nAnswer: -78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1651941 = -2*o, 115*o = 2*p + 112*o - 660765. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247*v + 9882 = 1421*v - 2830*v for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139822565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 2, 136949 in descending order.\nAnswer: 136949, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 2*r**2 - 20*r + 166. Let q be i(7). Calculate the highest common factor of q and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -3, -1599, 6 in increasing order.\nAnswer: -1599, -3, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -912*c*t**2 - 9*c + 9*t**3 - 403*t wrt t.\nAnswer: -1824*c + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*q**3 + 42*k**3 + 214*q**3 with respect to k.\nAnswer: -6*k**2*q**3 + 126*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -52600359.86 to the nearest one hundred thousand.\nAnswer: -52600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*g + 193 + 1650 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + -8 + 4 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170216591?\nAnswer: 1087, 156593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, i: 1, s: 1, w: 1}. What is prob of picking 1 s, 1 m, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p + 70678*p**2 + 2 - 17*p - 70677*p**2 + 1311*p**3 to i*p**3 + s*p + a*p**2 + m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(32\/(-72))\/(2\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 + 11*d**2\/2 - 3*d + 49. Determine x(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 2 + 0*g - 3. Let w(d) = -3*d + 1. Let v be w(1). Let f = -27 + 38. Let r(a) = -6*a - 5. Determine f*m(z) + v*r(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 23*p - 6487. Let h = p + -331. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k - 27*k + 3*q - 25, -9 = 3*k - 3*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = 2*i + q, 6 = -0*q - 2*q. Let r = i + -338. Solve 0 = -r*s + 6*s - 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180119255 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x**2 - 142*x + 94. Let m be l(-9). Let j(a) = -2*a + 7 + 5*a - 2*a. Determine j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 7*u - 8816*u**2 + 6*u + 8817*u**2 - 25.\nAnswer: u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 5, -6, 1 in descending order.\nAnswer: 7, 5, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -13. Suppose -b*c = -4 - 36. Suppose -2*p + 2*q = -q - 72, -c*q = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 67.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 + 6*l + 2. Suppose -199 = -26*x + 35. Let j be x*(2\/(-2) - 35\/(-21)). What is c(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128577306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 - 9 = 0. Let q(b) be the first derivative of 7*b**4\/24 - b**3\/6 - 37*b**2\/2 + 29. Let u(z) be the second derivative of q(z). What is u(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2*6\/4). Let s = -15.1 - -16. Let u = s - 1. Which is the biggest value? (a) -1 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t**2. Suppose 0 = 2*u - 5 + 1. Let a(x) = -x - u*x + 2*x - x. Calculate j(a(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -4*x + 3*k - 70, -3*k + 231 = -5*x. Let l = x - -99. What is the remainder when 304 is divided by l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, -49, 0.07, 1\/2.\nAnswer: -49, -4, -3, 0.07, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 32443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 2798, 9173, 21594, 42077, 72638, 115293?\nAnswer: 172058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -3 (c) 43 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 49, 63, 79, 97, 117?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 73*w**2 - 6*w + 1. Let k(i) = 15*i**2 - i. Give 22*k(o) - 4*z(o).\nAnswer: 38*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -67. Suppose 7*g - 43 + 8 = 0. Let x be -4 + -2 + g + 0. Put 10, i, x in ascending order.\nAnswer: x, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 35*v**2 + v + 1. Let b(j) = j**2 - 4*j + 3. Let y be b(2). Let o be n(y). Let h be 3\/o + (-6)\/21. Is -1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(14\/16) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.035 + 1.965. Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*m = -3864, -2*v + v - m - 772 = 0. What is the common denominator of 27\/65 and v\/90 - (-4)\/18?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = f, 4*f = 2*w - 6*w + 12. Let x(r) = r - 2*r - f*r. Let n(a) be the second derivative of -a**4\/12 + 21*a. Give n(x(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8584*4.\nAnswer: 34336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2159166 rounded to one decimal place?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1.2 (c) 2081\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/47577?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {b: 6, y: 1, o: 3, h: 3, e: 1, a: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32076274231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02824326 rounded to four dps?\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - c400597?\nAnswer: -c400598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5772798 rounded to three decimal places?\nAnswer: -3.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0508182us to nanoseconds.\nAnswer: 50.8182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 2772*g + 795283. What is t(-325)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (-2639)\/(-78) - 2\/(-12).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23549 divided by 39?\nAnswer: -23549\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (760\/6176)\/((-2)\/4) and (110 - -3)*68\/(-816).\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i - 224. Give r(-9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1392329?\nAnswer: 2784658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -930419 - 137?\nAnswer: -930553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9538, 69.\nAnswer: -9538, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2189 + -2225. Which is the closest to 4? (a) -1 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -13*a**5\/120 - a**4\/24 - a**3\/3 + 2*a. Let s(y) be the second derivative of f(y). Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29071109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -21. Let m = v + -6. Solve 7 = -2*l + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.28 - -2.35145. Let g = 0.0798 - x. What is g rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15439062*g**3 + 14827615*g**2 wrt g?\nAnswer: 92634372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 10*t**2 - 9*t. Let s be u(-9). Let f(j) = -j + 0*j**2 + 6 + 4*j + j**2. Let c be f(-4). Solve s*g + c = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 7)\/((-3)\/(-12)). Suppose 0 = 4*d - 3*o - 188, 199 = i*d + 4*o - 17. Let v = -47 + d. Solve 0 = -a - v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {x: 1, m: 1, i: 2, f: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 54 + 2*d**3 - 54.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.034, -40.18, -2, -27, 3\/2?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 8) in base 13?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7675 divided by -25.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from mhuhhuhm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.7. Let w = 0.46 - -0.04. Let p = 1138 + -1141. Which is the nearest to 2\/9? (a) l (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2080 = -10*d - 560. Suppose -5*l = -d + 17. What is the smallest common multiple of 33 and l?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68690.616 rounded to the nearest 10?\nAnswer: 68690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -3)\/(2\/13 + 0). Let d be z + 28 + 1 + 702. Suppose 0 = -70*j + 67*j + d. List the prime factors of j.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 1. Let j(w) = 18*w + 9. Determine 2*b(p) + j(p).\nAnswer: 16*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53190 - 12013. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 13. Determine w(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 + -334. Let n be g\/(0 + -3) - (5 - 6). Solve 6 = 3*d - 8*d + 2*l, -n*l + 15 = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/2)*225\/300.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/7, 142547, 3 in descending order.\nAnswer: 142547, 3, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94506 - -148493. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1, 7, -1\/4, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248824, 4995088, 11238862, 19980146, 31218940?\nAnswer: 44955244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1872)*-3*1 - (sqrt(104)\/sqrt(8) + -4 + (sqrt(1053) - (0 + sqrt(1053)))))**2.\nAnswer: 856*sqrt(13) + 148853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*z - 20 = 0, -5*y + z - 10 = 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**4 + 3*d. Suppose -4*z - 12 + 1 = y, 3*y - 3*z = -3. Let r(g) = g. Let i(b) = y*r(b) - f(b). What is the second derivative of i(s) wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123845612 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 + 18*p - 2. Give j(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from iqkpqkqiiqpi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = -4*a. Let w be -14 + -1 - 2*-2. Is w < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 243 - 412 - u**2 + 0*u**2 + 26*u = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*y = 14, -5*m - 3*y - y = -46. Let t be (21 - 2) + 3 + (4 - m). Calculate the highest common divisor of t and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1975350766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 54. Let w = z + 16.2. What is the closest to 1 in -5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u + 415. What is the remainder when 17248 is divided by v(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/27*t**4 + 0*t**2 - 1\/90*t**5 - 1\/27*t**3 + 3*t + 0. Suppose y(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - b = -836, 139 = 2*o + 2*b - 421. What is the common denominator of -133\/12 and o\/16*(-68)\/153?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188239, -376497, -564755, -753013, -941271, -1129529?\nAnswer: -1317787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 2*q**6\/15 - 2*q**2 - 11*q. Differentiate r(l) with respect to l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaj when three letters picked without replacement from {y: 1, j: 3, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.2 + -14. Let x = -1.8 - s. What is the third smallest value in x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 - 7265*g**3\/3 - 11729746*g**2 - 56830614527*g\/3 - 113590865107\/6.\nAnswer: -(g + 1)*(g + 4843)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 2*j**2. Let o(s) = 4*s**2 + s + 2*s**3 + s**2 - 10*s**3 + 5*s**3 - 2*s**2. Calculate -5*m(n) - 4*o(n).\nAnswer: 2*n**3 - 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**3 + 186*i**2 + 33*i + 319. Calculate f(-11).\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - 4\/(-3). Let i(y) = 64*y**2 - y. Let l be i(c). Suppose -l = -2*h - h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in decades?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.02847 rounded to one decimal place?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 1. Let b(t) = -24*t**2 + 15. Let q(c) = 3*b(c) + 45*i(c). Let w(m) = m**2. Calculate q(w(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17774 - 17775. Which is the smallest value? (a) s (b) 1\/4 (c) 1.4 (d) -2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 23*c + 90 = 0, 66*w - 63*w = -2*c - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 5. Let n(x) = 13*x. Let t(g) = -25*g + 1. Let s(y) = -11*n(y) - 6*t(y). Let j be ((-6)\/(-7))\/(2\/14). Give j*z(p) + 5*s(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30289 is divided by 194.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r + 1 - 57. Let k = -8 - -13. Solve r - k = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 + 7*k + 16 + k**3 + 5*k**2 - 51 + 8 = 0. What is k?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Let z(t) be the first derivative of t**4\/4 - t**3 - 2*t**2 + 4*t - 3. Let g be z(4). Solve 2*b + g = -5*w + 1, -4*w - p = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1598231*c**2 + 58*c - 6896 wrt c?\nAnswer: -3196462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435743?\nAnswer: 7, 11, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-12)*(-2)\/(14\/(-336)*15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:52 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468 - 4*y + 468.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*y + 9009, 2*y - 3*k - 3429 = 176. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let u = -4.1 - g. Let r = u + 0.5. What is the smallest value in -1, -0.4, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 2. Suppose 3*y + 5*m - 8 = 0, -y - 2*y - 2*m = -k. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -274885941\nAnswer: 274885941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496461 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v - 13 = 4*o - 39*v, v - 3 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 8*v**2 - 10*v + 13. Let t be j(9). Suppose -t*c + 12 = 4*y, -3*c - 1 = 2. Solve -y*b - 3*q = -4*q + 18, 10 = -2*b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 3*y**2 + 2*y - 2. What is the lowest common multiple of p(3) and -3 + 3 + (-2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/3564060 and 9\/13370?\nAnswer: 24948420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19175.2 - -0.28.\nAnswer: 19175.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 546436589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -66 + -3 + 1 + (-10 + 45 - 35).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-7 - -14) + 3 + -11 - (-5 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**3 + 4*y - 4. Let v be z(2). Let h(p) = -18*p**2 - 4. Let f be h(3). Let i = v - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 11*m**2 - m - 9. Let a = -493 + 482. Determine t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78057, 156256, 234463, 312684, 390925, 469192, 547491, 625828?\n\"Answer: w**3 - 2*w**2 + 78198*w - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 373 = 19*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w**(-2\/11) assuming w is positive.\nAnswer: w**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 27 = 3*r - 3*g, -276*r + 277*r - 3 = -3*g for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198475, -4793874, -10786205, -19175468, -29961663?\nAnswer: -43144790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - l**2 - 1)*(l**2 - 345*l - 16*l**2 + 324*l) to the form n*l**4 + u*l**2 + v + y*l + t*l**3 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37576642138 and 0.053.\nAnswer: 37576642138.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -0.3, 1\/2, -0.5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092 is divided by 212.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297585759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1119 - -1557. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/51675, 131, -41, 1\/3 in descending order.\nAnswer: 131, 1\/3, 1\/51675, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 2 g when four letters picked without replacement from {n: 2, y: 1, w: 1, g: 4, s: 2, p: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68304 divided by 8\nAnswer: -8538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185187591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6057020407 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -4929, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2021 = 95*h - 8006 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 129.5?\nAnswer: 132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjsj when four letters picked without replacement from scjccjfjjssjs?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 70, 4\/69, 2\/17 in descending order.\nAnswer: 70, 4, 2\/17, 4\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1f9efe?\nAnswer: -1f9f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99394, 198804, 298228, 397672, 497142, 596644, 696184, 795768?\nAnswer: 895402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - g = -13140 + 13094, -52 = 2*z - 2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21078, 42398, 63950, 85728, 107726, 129938, 152358, 174980?\n\"Answer: -q**3 + 122*q**2 + 20961*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390632077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -7*c**3 + 9*c - 2 - 9\/2*c**2. Let y(x) = 4*x - 6*x + 0 - 2 - 5*x**2 + 4. Give -2*j(m) + 9*y(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2548 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -24. Suppose 3*z = c + 1. Suppose 4*d = z*d - 10600. Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u + 19. What is w(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 2 z when four letters picked without replacement from deqhzzy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*f = -16 + 9, 0 = 5*r + 4*f - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddo when three letters picked without replacement from rdod.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3036971728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/15 + 7*i**3\/15 + 4*i**2\/5 - 302*i. Let a(c) = 0. What is c?\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1002*w = -521*w - 21322 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (-3 - (1 - 10)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (13 + (14 - 14))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 16479.\nAnswer: 181269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 161\/68086?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 61*x - 56. Calculate the remainder when d(-28) is divided by 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44919110 is divided by 22790.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 19965400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*k + 25*k - 227*k + (-3*k + 0*k + 2*k)*(-3 + 5 - 4).\nAnswer: -312*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/10*220\/(-594)*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.125873 to four dps.\nAnswer: -0.1259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2*a = 392. Let h = 51 + a. Solve -h = d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982245798 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 557.6 and -2316886735.\nAnswer: -2316886177.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 219099113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4973670 and 892710.\nAnswer: 34815690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from bttttbpptttttt?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 equal to 2895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -212078, -424163, -636248, -848333?\n\"Answer: -212085*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 61, 1 in descending order.\nAnswer: 61, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19709 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/5*(-10)\/(-3). Let r = -51 + 74. Let o = r - -1. What is the greatest common factor of i and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/12 - g. Let c(u) be the third derivative of 3*u**2 + 0*u + 1\/12*u**4 + 0 + 0*u**3. Determine a(c(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -141. Let g = -0.375 + -0.125. What is the second biggest value in g, r, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b**2 - 14*b + 1. Let d be s(6). Let o = -23 + d. What are the prime factors of (-526)\/(-10) - o\/(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*j = -16, 0*j - 25 = -5*j. Suppose -3*x - 4*m + 38 + 2 = 0, 3*x - 5*m = g. What is the smallest common multiple of x and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -3 (c) -0.9 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/59130 and -58\/2409.\nAnswer: 650430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4874*z**3 - 4876*z**3 - 2*z**2 + 124*z - z in the form w*z**2 + t*z + y + a*z**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m**2 + 7*m + 8. Let x be f(-6). Let r = x - -8. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736)*-3 - sqrt(2736) - sqrt(2736)) + sqrt(2736))**2 + -3.\nAnswer: 24621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 865.4 - 865.401387. Round a to 5 dps.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 8:00 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**4 - 5*b**4 + 5*b**4 + 0*b**4 + 2*b**4 - 3*b**4 + (0*b + 2*b + 0*b)*(-2*b**3 + b**3 + 2*b**3).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0649 * -878.\nAnswer: -56.9822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -21*c - 9. Let f be l(-2). What is the third derivative of -3*s**4 - s**4 - s**3 + 10*s + 35*s**2 - f*s**2 wrt s?\nAnswer: -96*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4192 is divided by 526?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 4*m)*(0*m**4 + m**4 - 2*m**4) + 0*m + m**5 + 0*m + (13*m**5 + 0*m**5 - 7*m**5)*(3 + 0 + 0).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n = -115*n - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 + 1480*w**4 - 24042*w**3 + 113184*w**2 - 163296*w = 0.\nAnswer: -756, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**3 + 6*t**2 - 72*t - 234. Determine z(-3).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567681204?\nAnswer: 2, 3, 17, 103, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 16*t**2 - 1917*t - 7829. Determine v(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 90.45658 years?\nAnswer: 0.09045658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -11, 0, 4, -2, -5 in descending order.\nAnswer: 6, 4, 0, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 0*k)*((3 + 334 - 28)*(4 - 1 + 6) + 4 - 3 - 5).\nAnswer: -5554*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7 = -10046*g + 10043*g, 33*g + 5*j = -107 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1 - (-3)\/(-1)). Suppose 0 = 2*p - t. Let g be 3\/p - (7 - 10). Let q(w) = -w**2 + 5*w + 8. Give q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -176.034056?\nAnswer: -52.8102168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + h)*(24 + 22 - 56).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 0*g**2 + 3*g**2)*(15*g**2 - 29*g**2 - 34*g**2)*(-8 + 15 - 9) to the form f*g**2 + t + v*g + k*g**3 + x*g**4 and give x.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -2, -1.2, 2.2, -2\/5, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*i + 79. What is the fourth biggest value in 3, -0.5, 1, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2. Let g(b) = -6*b**3 - b**2 + 11*b. Let j(n) = c(n) + g(n). Find the second derivative of j(t) wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000301 to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 0.17252.\nAnswer: -0.0207024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, g: 4, u: 1, c: 3}. What is prob of picking 1 g and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 90\/(-60)*(-1876)\/(-6) - 0. Is q less than or equal to -470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*v + 5*p - 145, -4*v + 290 = -2*p. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/8*c**2 + 0*c + 1\/8*c**4 - 1\/8*c**3 + 1\/8*c**5 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*y + 5*y - 11, -44 = -4*y + 2*l. Let d(h) = -h**2 + 17*h - 45. Calculate the lowest common multiple of d(y) and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 - -13)\/(-1 + 0). Let c(a) = -3*a - 45*a**3 + a + 11 + 3*a + 46*a**v. Give c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-63)\/(-6)))\/(4\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v, 4*v - 1242 = -3*q. What is the units digit of ((-2)\/(-4))\/(3\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*l**3 - 406*l**3 - 12*l**3 + 28*l**3.\nAnswer: -702*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11210\/1235 + -9)*(2 + 0).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4836.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151082, 302163, 453240, 604313, 755382, 906447, 1057508?\n\"Answer: -2*h**2 + 151087*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -152. Let h = u - 71.953. Round h to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 7*f**5\/10 - f**4\/6 - f**3\/3 + 2*f. Let i be m(-2). Let w = i + 193. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 55 - 113 = 0. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*r + 19992 - 3292 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 968 and 28677?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 12) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from mbjbbxebbrebmjjebjbr?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6068*y**2 + 4*y**4 + 19059*y**3 + 18874*y**3 - 37629*y**3 + 10952*y.\nAnswer: 4*y*(y + 2)*(y + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2916975700 divided by 5.\nAnswer: -583395140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, -4, 3 in decreasing order.\nAnswer: 5, 3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose i = -5*f + 4*f + 3. Solve f + 4 = -2*l - 3*u, 2*l + 4*u + 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/24 + 1170\/(-144) - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 226 and 2?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1622)\/4)\/(-1) - 2\/(-4). Let w = -136 + y. Suppose 2*q - w = -3*q - f, 0 = 5*q + 3*f - 270. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -332?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 21604*o**2 - 432808*o - 779184.\nAnswer: 2*(o - 10822)*(o + 2)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/39, 0.12, -10, 1\/638, -1, 2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4))\/(g**3\/g)*g**(-2\/33)*g**(-13) assuming g is positive.\nAnswer: g**(-596\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxfa when four letters picked without replacement from uqqffufuqxauqfuqqfu.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*-10*12\/(-160)*-24\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 3*h + 0*h + (-3 + 2 + 3)*(2 - 2 + h) + (5*h - h - 3*h)*(1 + 0 - 3) - h - 5*h + 5*h - 75 - 5*h + 75 + (0 - 5 - 2)*(3*h + 3*h - h).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(1 + (2 + sqrt(180) - sqrt(180))))**2.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -621.\nAnswer: 5\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66872610.\nAnswer: 2, 3, 5, 7, 179, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231157031.\nAnswer: 53, 60965227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/6 + -313\/147. Calculate the common denominator of 139\/2058 and u.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (15 + 3) - -17) + (-1 - -21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1441.571 and 7.\nAnswer: 10090.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 0*z**2 - 4*z**2)*(0*z**2 + 0*z**2 + 2*z**2)*(12 - 22 + 16) in the form g*z**2 + j*z**4 + a*z + i + t*z**3 and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1188 and 29\/9207.\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*h + 6535 - 20187 - 6223 = 35*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 387949, 774421, 1160893, 1547365, 1933837?\n\"Answer: 386472*m + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 2. Suppose 2*v = 3*c + 16, -31*v + 5*c = -34*v - 14. Let t(g) be the first derivative of -8 + 11\/2*g**v + 11*g. Determine -34*m(q) - 6*t(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -297. Let q = 207 + r. Solve -2 = -q*j - 3*m + 5*m, -5*m + 34 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.6 rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(128) + -2)**2 + -3).\nAnswer: -128*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7 - t**3 + 12 - 4 - 8*t**2 + 10*t - 5. Suppose -2*y + 3*y + 2 = 0, 4*y = -4*r + 856. Suppose 2*m + r - 198 = 0. Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 + 2*h + 3. Let v(g) = 6*g**2 + g + 3. Let n be (-350)\/140 - 30\/(-4). What is n*v(s) - 4*b(s)?\nAnswer: 2*s**2 - 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 782275\/84 + -9313. Let n = 293 - 6152\/21. Let h = r - n. What is the nearest to -0.2 in -5, 6\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 109, -0.1, 5\/7 in increasing order.\nAnswer: -0.1, 5\/7, 109, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 + (sqrt(192) - (sqrt(192) + -2)))**2.\nAnswer: 54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322163633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11210102*a**3 - 1853*a**2 - 58*a - 19 wrt a.\nAnswer: 67260612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 4*w. Let q be t(-6). Let p = q - 3. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 247 - 172. Suppose -m = -8*g + 5*g. What is the units digit of (g\/(-3))\/(11\/(-33))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(2058)\/sqrt(6).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r - 2. Let q(z) = -17*z - 3. What is -4*i(f) + 3*q(f)?\nAnswer: 13*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, -0.063471, -2, 0.2?\nAnswer: -0.063471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 3. Let o be u(-7). Suppose -6*h = -o*h - 102. Let x = h - 22. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3434 and 8383?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -3265?\nAnswer: -325e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 + 6*b + 2. Let j be o(-5). Let z = j - 979\/3. Calculate the common denominator of z and -35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4129092 or -4129093?\nAnswer: -4129093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d**2 - d - 28. Let c be x(0). Let y be c\/(-3) + (-6)\/(-9). Let n = y + -9. What is the lowest common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988183997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:08 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 89*d - 4660. Let x be i(126). Suppose -2*g = 5*w - 35, 3*g + 0*g - 3*w = 0. Solve -g*t = -x + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -634 and 9.83638156?\nAnswer: 643.83638156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -2*x - 4, -9 = -2*w + 5*x. Suppose u = 4*a - w*u - 5, 0 = u + 3. Let o(h) = -5*h**2 - 2*h - 1. Determine o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 = -y, 4*y + 3*q = -y + 12. Let z = -148 - -163. Solve y*t = 8*t - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11210 (base 3) to base 13.\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 3 - (-5 - -7). Let w be 5\/(o\/(-2)) + 16. Suppose w = 3*i - 21. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**7\/630 - u**6\/180 + 13*u**4\/12 + 6*u. Let x(q) be the third derivative of n(q). Factor x(p).\nAnswer: 4*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 17*n + 21*n)*(-5*n**2 + 3*n**2 + n**2).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 5)\/(2\/(-8)). Suppose 4*a = -2*k - 2, 29 = c*a - 2*k + 11. Let l(x) = 3*x**2 + 2. List the prime factors of l(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27420, 20375, 13330, 6285, -760?\nAnswer: -7805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 4088?\nAnswer: 8176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/69*(-30)\/4. Let m be (d\/1)\/(22\/44). Is 5631\/6 - 5\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5379, -22039, -49975, -89187, -139675, -201439?\n\"Answer: -5638*j**2 + 254*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 25*n**6\/12 + n**4\/8 - n**3\/3 + 62*n**2. Suppose 4*s - 16 = 3*d, -s + 0*s - 4*d - 15 = 0. Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:10 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - 7475\/(-1196)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 + 4*f - 1. Let t be (-2)\/4 - (-7)\/2. Let a be n(t). Suppose -3 = -a*v + 3. Solve -l = 4*d + 14, -3*d - v = -3*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - t + 7 - 80 + 44.\nAnswer: -2*t - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -183, -429, -771, -1203, -1719, -2313?\n\"Answer: y**3 - 54*y**2 - 91*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 + 25)*(2\/(-6))\/(15 + -14). Which is the nearest to 0.1? (a) 1 (b) 4\/9 (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0 - 1)\/((-5)\/10). Suppose -4*u = h*n - 35 - 253, 0 = -2*u - 2*n + 140. Find the common denominator of -73\/8 and u\/(-7) + 2 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:02 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -40\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29294709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 9 + -20 - -16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z + 5. Let g be q(8). Let i be g*(4\/1 - 3). Let p = i - 38. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 - 15510*k - 80186700.\nAnswer: -3*(k + 10340)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/394 (b) 0.1 (c) -1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.427512586 rounded to four decimal places?\nAnswer: 6.4275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 284743623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 449 - -124. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48410385448 and 4.\nAnswer: -48410385444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -139*l**2 - 5*l - 1. Let j(u) = u**2 + u. Let m(g) = -f(g) - 6*j(g). Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 74 = -25 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 550. What is q(-85)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(2*k**3 - 2*k**3 + k**3) - 128*k**2 + 128*k**2 - 4*k**3 + (-3*k**2 - 7*k**2 + 27*k**2)*(0 - 2*k + 0) + 2*k**3 + 2*k**3 - 2*k**3.\nAnswer: -38*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/119? (a) 0 (b) 0.21 (c) 2\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881244 is divided by 327.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 32*d**3 - 452*d**2 - 480*d.\nAnswer: 4*d*(d - 8)*(d + 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d - 12*d**4 + 0*d - 6*d wrt d.\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 147. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = 9961 - 9331 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*f - 145*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-8)\/(-3))\/((-8)\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 10885404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-3*2\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 8) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**4 - 15*a**2 + 17*a + 17. Let c(b) = 4*b**2 - 1. Let n(o) = c(o) + i(o). Find the second derivative of n(y) wrt y.\nAnswer: 96*y**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y + 8548525 - 110517620 = -591*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let u(v) = v - 225. Give u(w(d)).\nAnswer: -2*d**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p*p*p*p**(-2\/21)))**(-2\/47))**28 assuming p is positive.\nAnswer: p**(824\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + v - 10*v + 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.018*1330282\nAnswer: 23945.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9159 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -201471 at least 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -359, -308, -257, -206, -155?\n\"Answer: 51*z - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2716 + 48911\/18. Calculate the common denominator of g and -81\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 142, 141, 138, 133, 126, 117?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -38027?\nAnswer: 19013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/449 + 461\/1347. What is the third biggest value in 3, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-372)\/310)\/((-12)\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.9 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 6*u + 3. Let b(p) = 2*p**2 + 5*p - 3. Let o(j) = -j**3 - 5*j**2 + 6*j - 5. Let d be o(-6). Determine d*b(z) - 4*h(z).\nAnswer: 2*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010454718 rounded to 7 decimal places?\nAnswer: -0.0001045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(528) + sqrt(528) + sqrt(528))*6)\/((1*sqrt(88)*-6)\/sqrt(8)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46506 and 15390453.\nAnswer: 707960838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1084 + -1083. Let q be (8\/32)\/(9\/(-8)). Sort 5, g, q, -5 in increasing order.\nAnswer: -5, q, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2299) + (-2*(sqrt(2299) + sqrt(2299) + sqrt(2299)*2))**2 - sqrt(2299)) + sqrt(2299)).\nAnswer: 66*sqrt(19) + 882816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 711 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4617 = -8*b + 5353. What is the remainder when b is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 10)\/(2 - 1). Let a = 10 + -6. Suppose -a*s + 5 = -i. What is the least common multiple of s and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1106*d**4*y + 56*d**4 + 177*d**2*y - 61*d**2 wrt d?\nAnswer: -26544*d*y + 1344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -3*o + 77. Let q = o - 92. Solve -q*w - f - 15 = 0, -2*w + 3*f - 4 + 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/3 in -2\/15, 1\/5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.882 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 3. Let k be 992\/24 - 1*1\/3. Let j = 35 - k. Let v(q) = -2*q - 3. Calculate j*x(h) - 5*v(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 10*m**2 - 28*m + 38. Let o be g(12). What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/2))\/o)**(1\/18)*(o**(2\/3)*o)**(1\/7) assuming o is positive.\nAnswer: o**(67\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {z: 6, f: 3, o: 7, q: 1, n: 2}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/19 - -65\/76. Suppose 3*w = -w. Which is the second biggest value? (a) l (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341062*t**2 - 234525*t wrt t.\nAnswer: -682124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*m - 860, 2*m - 17*q = -14*q - 852. Is (-2)\/(-3)*m\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnx. Give prob of sequence nxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + -12 + 1 + 27. Suppose 0 = -4*l - 10 + k. Suppose 0*j - j = -4*s - 66, 5*j + l*s - 306 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 1, n: 7, e: 3}. Give prob of picking 2 f, 1 n, and 1 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-12) - (-20)\/16)*2. Solve h + 2 = -h, r*x + 14 = -4*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 70*i**2 + 20*i - 3810. Determine z(-71).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-2) - (-1 - (-3 - 2)). Suppose -3*k + 6 = -f + 32, -3*k - 42 = 3*f. Let l = k - x. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -43 (b) -20 (c) -6\/5 (d) 0.4 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 105 = p + 4*p, -3*p + 39 = -3*q. Calculate the highest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) - 91\/(-7). Let x = 30 - k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lebe when four letters picked without replacement from {b: 1, t: 1, e: 2, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 141, 457, 1089, 2169, 3829, 6201, 9417, 13609?\n\"Answer: 22*p**3 + 26*p**2 + 84*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 5*i - 4. Let h be (2 - -3)*12\/(-10). Let r be k(h). Let z be 2 + -2 + 3\/2. Is r less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 47. Let l = -31 - -35. Suppose l*s - 20 = m, -4 = -2*m - 3*s + 11. What is the units digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 116 + 24 = j, -f + 2*j = -52. Solve -53*b + f = -31*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 5520280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -2.04. Let j be -1 + 1 + (162 + -162)\/(10\/(-2)). Let y = -1.1 - -0.7. Put o, j, y in increasing order.\nAnswer: o, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*h - 2 + 4 as g*h + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 762 and 274?\nAnswer: 104394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**3 - 614*j**2 - 4 + 3*j**4 - 609*j**2 + 1 + 1221*j**2 as y*j**4 + v*j**2 + k*j + q*j**3 + p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 380 - 381. Are v and -1\/233 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 14*b**2 - 5*b + 11. Give a(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4) - ((-228)\/56)\/3. Which is the closest to -1? (a) 5 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 + 382*m**4 + 2760*m**3 + 2440*m**2 - 12608*m - 12672 = 0?\nAnswer: -4, -1, 2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062315361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 91. What is x(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -46*l**2 - l + 25. Let t(n) = -91*n**2 - 2*n + 50. Let u(q) = -5*r(q) + 2*t(q). What is the second derivative of u(a) wrt a?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 2. Calculate l(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 2*p - 1. Let s be (1 - -1)*(-3)\/(-2)*1. Calculate a(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a. Let p(z) be the third derivative of z**5\/120 - 5*z**3\/2 + 11*z**2. Let k(r) be the first derivative of p(r). Determine k(b(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/32 - 6448\/(-59520)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3365549 and 402435.\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000975464698 to six decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f + 6. Let b be n(-8). Let i be (16\/b)\/((-3)\/(-5)*-1). Determine j so that -i*j - 4\/3*j**2 - 4\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 19 + -3 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 750?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:50 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*-4*(5 + 3*(sqrt(75) + 0)) + -4.\nAnswer: 116 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*v - 2*l**3 + 30*l**2*v + 12*l**2 - l*v + 5*l - 113*v wrt l?\nAnswer: -6*l*v - 12*l + 60*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*r**4 - 39*r**3 + 4*r**2 - 100*r + 2874 wrt r.\nAnswer: 744*r**2 - 234*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -13*p + 1113. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 + -926\nAnswer: -926.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5959, -5956, -5949, -5938?\nAnswer: -5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(83\/(-3) + 2). Let m = 5 - 1. Suppose m*x = -o + 289. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2. Let f be 1\/(21\/(-12) - m). Let z = 1 + 2. Put f, z, -5 in ascending order.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(42\/16)*1341\/596.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 9)*(-9)\/18. Let l(h) = 32*h + 30. Give l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 - 5*n + 5. Let a(p) = 5*p**2 + 4*p - 4. Let h(l) = 5*a(l) + 4*x(l). Let j(d) = -17*d**2. Determine h(j(y)).\nAnswer: 289*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + j = -10*f - 1066, -1418 = 4*f - 2*j. Let q = 358 + f. Solve 0 + q = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -8?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 363 = -338 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 66. Suppose 4*z = -o + 338. Let l = -24 + z. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.47, -3\/7 in decreasing order.\nAnswer: 0.1, -3\/7, -0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 727 or 724?\nAnswer: 727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 1. Let q = 0.6 + m. Which is smaller: q or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 4, -1, 2.\nAnswer: -29, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*i - 4*i. What is the first derivative of 18*a**2 - 10*a - 27 + 16*a - i*a wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/24 - 43*d**3\/9 - 3831. Let a(j) = 0. What is j?\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-3627))\/((-2 - (-14)\/6) + 0)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 - (-41)\/4. Let d = 6 - k. List the prime factors of d*(-3)\/(-9)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 p when four letters picked without replacement from cccccpccccccc.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-16)*(-680)\/2550*(-10)\/(-6)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 - q - 8*q**3 + 3*q + 15*q**3 - 5*q**3 in the form p*q**3 + j*q**2 + f + b*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (11 - 2)) + -2 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.4 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030405 (base 6) in base 3?\nAnswer: -121210112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42018000 rounded to the nearest one hundred thousand?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = -1, -z + 4*d - 15 = 0. Put -5, z, -2, 1 in ascending order.\nAnswer: z, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-134)\/(-3) - ((-21)\/(-9))\/(-7). Let r = -44 + w. Let q be (-28)\/(-364)*r*(-1 + -1). Which is the closest to 0? (a) 5 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Suppose -3*g = -10 - 2, 3*y - 3*g = -9. What is j(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - l + 3. Let t be p(4). Let k = 20 + t. Suppose -3*c + 10 = 4*f - 2*f, k*f = -3*c + 12. Solve 3*u - f*u - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -51, 1 in decreasing order.\nAnswer: 1, -2\/9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:22 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-7*s - 33*s + 11*s)*(-s + s - s + (4 - 1 - 2)*(-s - s + 0*s))*(4 + 0 - 6) to d*s**2 + r + m*s and give d.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 0*h - 4*h - 10*h.\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9765\/558)\/(5*-1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*b + 37 - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 434 + 2*i**2 - 435 - 2*i**2 + 0*i**2 - i + 194*i**3 as h + s*i**4 + n*i**2 + m*i**3 + o*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 - 5*v + 5*v)*(5 - 6 + 3) + (4*v - 6*v + 0*v)*(5 - 5 + 3*v) as b*v + j + y*v**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 48 (c) -55.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-380)\/342*27\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1, -2*v + 3*x = 3*v - 43. Let u = 11 - v. Let b be (-1)\/(-3) - 11701\/u. Round b to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*f**3 + 2*f**4 + 1676 + 0*f**4 + 1681 - 36*f - 3357 wrt f.\nAnswer: 24*f**2 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312 + -23002333?\nAnswer: -23002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 223, 462, 699, 934?\n\"Answer: -k**2 + 242*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 2*y**4 - y + 4*y - 2*y as n*y**4 + k*y + g*y**3 + l*y**2 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) - 33\/90. Do y and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282831 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Let f(q) = -5*q - 6*q**2 - 4*q - 5 + 5*q**g. Does 4 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -37. Suppose 4*l - 59 = c, 4*c = -5*l + w + 64. Suppose -2*h - l = -2*i, -2*h - 3*h + 20 = 5*i. Solve -b = -i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12347 - -54240. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 39*t - 6. Let p be l(6). Let m be p\/117 - 6\/3. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 28 + 169*f + 7*f**2 - 22 - 165*f + f**3. Give k(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34260255329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(10) + -1*sqrt(1210))*-1)\/((sqrt(5) - (sqrt(315)\/sqrt(7) + sqrt(5)) - sqrt(5)) + sqrt(5) + sqrt(720)*1) + -2)**2.\nAnswer: -40*sqrt(2)\/3 + 236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.554 times -390?\nAnswer: -245916.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 94. Solve -2*z - 19 = -c*p, 4*z - 5*p = -35 + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566062 (base 7) in base 8?\nAnswer: -304277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/4 - 9*r + 135\/4 = 0.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18365.394 months to years.\nAnswer: 1530.4495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6193 times 0.12\nAnswer: -743.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = -4*v, 4*v - 5 - 5 = 2*g. Solve -i + s = 2, 4*s - 4 = 3*i - v*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(7) + (-3 + sqrt(7))**2)*1 + sqrt(7)) + 4.\nAnswer: -44 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -17. Let u = 7661 - 7649. What is the remainder when u is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.12679ns to minutes.\nAnswer: 0.0000000028854465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -44. Suppose 31559 = r*m - 2*l, 5*m - l - 28085 - 24511 = 0. Let x = -126149\/12 + m. What is the common denominator of -89\/32 and x?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 11*c**2 + c - 15. Calculate t(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -28. Suppose -g - 3*q = 7 - 28, -3*g = 2*q - 42. What is the greatest common factor of g and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020022121201 (base 3) to base 13.\nAnswer: 32752c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-438)\/(-36) + -15 - (-2)\/(-3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.310311 and 0?\nAnswer: 0.310311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2764 + 2763.3828. Round l to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 10767?\nAnswer: 21534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 4 - 11) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -18*l - 9. Let k be q(-6). Let g be 18\/(-8)*(-8)\/3. Suppose -3*u + g = 0, 2*p + 5*u + 12 = 4*p. Calculate the greatest common divisor of k and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 2073 + 13673 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 - 26 + 37)*(l + l**2 - l).\nAnswer: -3*l**5 + 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 2 + 5 + sqrt(288) + sqrt(20)\/(sqrt(10) - (sqrt(10)*-3*-6 + sqrt(10))) + 2)**2.\nAnswer: 431*sqrt(2) + 198883\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -365, -343, -303, -239, -145, -15?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = 5*k + 5*d, -2*k = -4*d + 38 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83840 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*(-4)\/(-4))\/(-1). Let p = -8 - -5. Let h(n) = n**3 + 4*n**2 + 3*n + 2. Let s be h(p). Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*w + 23, -2*t - t + 3*w + 69 = 0. Let l = t - -9. What is the greatest common factor of l and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216635 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 310\/4*(-5)\/100 and 49\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - ((-5 - -3) + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31622 minus -308.593?\nAnswer: -31313.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*18\/(-1080) + 2\/8. What is the closest to q in 2, -0.054, -0.05, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 - 12*j**2 - 11*j - 8. What is l(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -84131 and -84140 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6909 - 6907. Sort -1, 13, z, 1 in ascending order.\nAnswer: -1, 1, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 8*d**2 + 19*d - 2. Let v be o(-5). Let a be ((-3)\/2)\/((-6)\/(-88)). Do a and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 8*r**2 + 0*r**3 + 2*r**3 - r**4 - r - 9*r**2 + 50 to h*r**2 + w*r**3 + a + t*r**4 + d*r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2 - 1356*y = 0.\nAnswer: 0, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c + 11*c - 522. Suppose 130280 = c*t + 5234. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864255 is divided by 621?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -169 - r + 2*r + r - 159 - 63 in the form z*r + u and give u.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 16*z - 26. Let t be 7\/2*-4*-1. Let c be d(t). Solve 0 = -4*n + c + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101666365079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(8\/5)\/u**11)\/(u*u\/(u**(-2\/9)\/u)*u)**(13\/5))**(-7\/2))**(2\/29) assuming u is positive.\nAnswer: u**(6419\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*c - 201*c = 224 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*h, -7 = -4*z + 9. Let t(u) = -u**3 + 3*u**2 + 6*u - 3. Let s be t(h). Solve -s*p = -25, -4*p - p + 15 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 - 99. What is the nearest to 1 in -0.4, -2\/9, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*d**2 - 772713*d + 2666574.\nAnswer: -3*(d + 12882)*(20*d - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -4*i. Suppose 0 = i*n + 92 + 33. Let u = 38 + n. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*i + 383 = -257, -4*i + 2620 = 4*k. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 706*i**6\/3 - 1282*i**3\/3 + 558. What is the third derivative of u(y) wrt y?\nAnswer: 84720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 - 12 - -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmm when four letters picked without replacement from {m: 2, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3064 - -13836. Round f to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 7. Let k(a) = 16 - 2*a**2 + 11*a - 17 + 0*a. Let h be k(5). Let d be j(h). Solve -4*q = -4*t - 8, 0*t - 3 = d*t - 4*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/200 - 201*a**5\/100 - 13467*a**4\/40 - 300763*a**3\/10 + 43*a**2 + 2. Factor i(k).\nAnswer: -3*(k + 67)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200228*q**4 + 2*q**3 + 233*q + 854?\nAnswer: -2402736*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5 - 13*k**3 + 13*k**3 - 2*k**2 - 8*k**5 wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 15. What is q(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - 83. Let p = r + 155. Let g(c) = -p*c - 15 + 8 + 7. Let u(t) = -2*t**2. Give g(u(a)).\nAnswer: 88*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1202204 and 1036?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278.2 - 274.2. Put v, 3\/8, -9\/2 in ascending order.\nAnswer: -9\/2, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0285122 days to milliseconds.\nAnswer: 2463454.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + w**2 - 8*w + 5 + 9 + 9*w. Let s be n(-3). Solve -s*z + 2 = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4700*x - 38. List the prime factors of h(2).\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109364 and 12951.\nAnswer: 984276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -3, 3, 1\/6, -1\/3 in ascending order.\nAnswer: -79, -3, -1\/3, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*b + 78*b. Let -2\/11*w**2 - 2\/11*w**3 + 2\/11*w**4 + 2\/11*w + b = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 13) to base 16.\nAnswer: -7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 - -0.5.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 6}. What is prob of picking 2 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -9307, 12, -5 in ascending order.\nAnswer: -9307, -5, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/60 + s**4\/6 - s**3\/3 + 5*s**2. Let v(i) = i**2 - 9*i + 4. Let j be v(9). Calculate b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 76\/12 + (-42)\/28*6\/3. Solve -2\/3*t**3 + 6*t + u + 2*t**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 142?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 177 = 42. Suppose 19*h - 2418 = -176. What is the remainder when h is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 5}. Give prob of sequence dsds.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/5 and 145\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 23*d**2 + 50*d - 161. What is s(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let h(r) = 2*r + 22619. Calculate h(j(g)).\nAnswer: -4*g + 22619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(4 - 2 + 282*z**2 - 277*z**2 - z) as w*z**2 + y*z + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 825057, 3300235, 7425539, 13200975, 20626549, 29702267?\nAnswer: 40428135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s + 52 = 0. Suppose -52*i + 58*i = -72. Is s less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - 176. Which is the nearest to t? (a) -0.1 (b) 1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - ((-7 - (-13 - -10) - -8) + -6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101000001 (base 2) to base 11.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.2031 litres to millilitres.\nAnswer: 201203.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h*i**3*s + 70*h*i**3 + 2*h - 4*i**3*s + 1678955*i**2*s - i**2 - i wrt i.\nAnswer: 96*h*s + 420*h - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8291 + -7655. Calculate the remainder when d is divided by 87.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -3*j - t, 5*t - 513 = -2*j - 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9548*x**2 - 4*x + 36358 wrt x.\nAnswer: -19096*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b03913 + 0?\nAnswer: 1b03913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.2 (b) -347 (c) 0.1 (d) 4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96 + 26?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 7. Let v be h(8). Let j = 3 + v. Find the second derivative of -p**2 - p**j + p + 4*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030063 is divided by 1601?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from kokkroororokmrkkokoo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3994 or 3\/4?\nAnswer: 0.3994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 293057966 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 + 5*w**4\/24 - w**3\/3 - 2*w**2. Let p be l(5). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6571937 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8686 is divided by 868.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(((-2079)\/36)\/(-33))\/((-2)\/16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y + 1031 - 1391 = 5*d, 2*d + 2*d + 126 = 15*y + 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0341 and 0.0316122.\nAnswer: -0.00107797602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.56 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.10932765\nAnswer: -0.2186553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -18\/35 (c) -1\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 8356 - 2416 = 446*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2848.93 or -0.0278?\nAnswer: 2848.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1431 + 1126.8. Let a = -247 - i. Let p = 57 - a. What is the second smallest value in -16\/7, -4, p?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396402833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 + 94. What are the prime factors of m?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {d: 5, v: 1, p: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n + 3*o, 4*n + o = 19 + 2. Suppose 4*v = 2*v - n*c + 414, 5*v - c = 1089. Is v a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3325945590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008723 to six decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 47. Let w be (-170)\/t - 2\/3. Suppose -9 - 16 = -5*r - n, -3*r - w*n + 37 = 0. Solve -3*x + 5*f = 1 - 26, 0 = -r*x + 4*f + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - 0.15. Let i be 30\/9*18\/5. Let r be 30\/i*(-2)\/40. Which is the biggest value? (a) 1 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(6\/(-2)*(-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155406 and 207267.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - 73700\/(-700))\/(-3*5\/(-5040))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24863 and 64719?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7962*r + 2595*r + 3889*r + 2717*r)*(2 - 4 + 0) as a + q*r and give q.\nAnswer: -34326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/9)*(q*q\/(q\/q**(1\/2))*q)\/q)\/(q*q\/q**(-1))**(-3\/7)*(q**1)**(-44)*q**(2\/7)*q**(-1\/8)*q assuming q is positive.\nAnswer: q**(-20131\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 10087 (c) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/119 and -19\/1168597?\nAnswer: 8180179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -271, -886, -2079, -4042, -6967, -11046, -16471?\nAnswer: -23434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 10, -2\/11, -855, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from eeeceecceppjjpp?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 75 = -3*j, -c - 3*j = -3*c - 33. Let v be (-15)\/c - (5 - 3). Let a be 3\/12 + 1\/(-4)*5. Which is greater: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241984065*l + 483968625*l - 241984561*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2 + (-4)\/8)\/1. Suppose 5*o - 185 = 3*y, 2*y + 3*o - o + 150 = p. List the prime factors of 56\/y - (-1268)\/10.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 15*s + 43. Let h be c(-18). Let v be h\/(-3) + 8\/(-12). Suppose v = 5*l - 7. Solve -l + 4 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 100.4. Let b = z - -7. Let n = 2.5 - 0.5. What is the nearest to n in -1, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -117 - (-322 - -311)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 4*c - 15. Let y = 5 + c. Which is bigger: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-99) + 2223\/209?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -409.53?\nAnswer: -409.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254816729.\nAnswer: 191, 1334119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*d + 43, 6*s - 2*s = -2*d + 44. Suppose -3*j + 6*j - d = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14624, -22057, -29490, -36923?\n\"Answer: -7433*k - 7191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 51*z. Let q(d) = 13*d. Calculate 9*q(c) - 2*t(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let k(g) = -3*g. Calculate 4*k(h) + 10*x(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.192 + -0.192. What is the closest to -0.16 in -1\/9, 0.5, u?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -0. Let g = -85\/3 + 28. What is the nearest to z in -5, g, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 135?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:25 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359144, 718235, 1077326, 1436417, 1795508, 2154599?\nAnswer: 2513690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5228 bigger than -5078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*f + 5*d, 0*f + d + 390 = 4*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 + 1\/6*n**3 + 0*n**4 + 0*n**5 + 0*n**2 - 1\/15*n**6 - 2*n. What is the second derivative of l(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*y - 2*y + 3, -2*t - 5*y = 21. Calculate the remainder when 19 is divided by 124\/12 - 2\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 9*q. Let m(o) = o**2 + 5. Calculate m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2227*y - 1 + 2222*y - 2.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13337.34 milligrams to tonnes.\nAnswer: 0.00001333734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/110 and 3 + (-1132)\/132 - (-4 + -1)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -112, -251, -444, -691, -992?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4483.034 tonnes to kilograms.\nAnswer: 4483034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 + 7*s - 7. What is the hundreds digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i**2 + 39*i**2 + 32*i**2 + 79*i**2 - 4*i**2 - 34*i**2.\nAnswer: 155*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 4, -0.153, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366435075 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(10 - 4)*-8. Let u(p) = 89 - c*p - p - 89. Let g(w) = 6*w**2. Determine u(g(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**6\/60 + 7*l**5\/8 + 11*l**4\/8 - 35*l**3\/12 - 17*l**2\/2 - 88*l. Factor x(r).\nAnswer: (r - 1)*(r + 1)**2*(r + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (51 - 57) - -20.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g. Let j(s) = 67*s - 65*s + 0 + 0. Give a(j(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5654, -11372, -17150, -22988, -28886, -34844?\nAnswer: -40862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4383*k**2 + 2195*k**2 + 2191*k**2 - 11 - 10*k. What is the remainder when 114 is divided by p(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354 + 468. What are the prime factors of o?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**2 - 5 + j + 0*j + 4)*(-j**2 + 2*j**2 - 7*j**2) to u*j + i*j**3 + b*j**2 + q + l*j**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.7 and 1.183?\nAnswer: 11.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064375821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + -8 - -186 - ((1 - -3) + 8)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2321429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4790.\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 12:40 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 1204.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2493386 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/4 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4255502 + 41?\nAnswer: 4255543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + m**5 + 0*m**5)*(4 - 5 - 3) + 5*m**5 + 2*m**5 - 4*m**5 + (0 + 2*m + 0)*(4*m**2 - 4*m**2 + 2*m**4).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/119, -1, 1\/13, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -404 - -430. What is the highest common factor of 143 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -1\/18*j**5 + 1\/120*j**6 + 1\/630*j**7 + 0 - 10*j**2 + 0*j + 0*j**3 + 0*j**4. Factor g(z).\nAnswer: z**2*(z - 2)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvnnvyndky. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*v - b - 71, -120*v - 3*b + 1803 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834*c - 1048*c + 1577*c.\nAnswer: -305*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 624423, 624362, 624261, 624120?\n\"Answer: -20*g**2 - g + 624444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b69 - -678?\nAnswer: -44c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -9\/2*o**2 - 5*o + 8. What is the derivative of z(a) wrt a?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v + h - 22, 3*v - 5*h = 2. Suppose 10 = 5*l - 5*j, 7 = l - 2*l + v*j. Let g be 60\/l*2\/6. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from ppmpplpppppmmpp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = 4*b, -7*b - 8 = -4*t - 3*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 73*j**2 + 22*j - 225. Determine v(24).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27928 divided by -6982\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -85 * -1063165\nAnswer: 90369025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 - -1.09. Let i = w - 60.76. Let x = 60.0404 + i. What is x rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 4, m: 1}. Give prob of sequence ir.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 12, 37, 80, 147, 244, 377, 552?\n\"Answer: c**3 + 6*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -134. Let o be (-12)\/u + (-2155)\/(-6). Suppose o + 319 = 6*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18*39\/(-26))\/((-11)\/(-231))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and 5430.6.\nAnswer: 445309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:38 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22010001021 (base 3) to base 4\nAnswer: -212333011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 545*s + 97 + 84 - 181 to the form w + o*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21515 and 25.\nAnswer: 107575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19*t - 108100 = -22*t, -20 = 5*t. Let i = -288444 - y. Round i to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(24) - ((sqrt(378)\/sqrt(2) - sqrt(21)) + sqrt(21) + sqrt(21)))\/(5*sqrt(63) + sqrt(70)\/(sqrt(30)\/sqrt(3)))*-1.\nAnswer: 7*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/((z\/(z**(3\/10)*z))\/z)*z**4*z**(-5\/3))**(-31) assuming z is positive.\nAnswer: z**(1271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**3 - k**4 + (-12*k + 17*k**3 + 12*k)*(-20*k + 4*k - 2*k))*(-1 + k + 1).\nAnswer: -307*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16067653711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/2)\/(((-36)\/(-64))\/9). Let h = v + 89. What is the third biggest value in 0.3, h, 2\/11, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**2 - 1 - 1 - 5*a**2 + 0*a**2 + 0*a**2 - a**2 + (-3*a + 4*a + a)*(-a - 4*a + 4*a) - 2*a**2 + 4*a**2 + 4*a**2.\nAnswer: 7*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-25) + 3 + -2 - -3)*-5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66.3 + -61.3. Let f = -0.24 + 0.04. What is the nearest to -0.2 in 4, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 36*a**2 + 135*a + 150 = 0 for a.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/56 - 2\/7. Suppose 3 + 0 = -3*m. Are m and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/4 (b) -0.074 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*j**4*k**3 + 905188*j**4 - 74762975*k**3 wrt j?\nAnswer: -172*j**3*k**3 + 3620752*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f + 143*f - 50*f**2 - 50*f - 45*f.\nAnswer: -50*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4886*w**4 - 73*w**2 - 4*w - 6. Let j(c) = 4885*c**4 + 73*c**2 + 5*c + 7. Let k(i) = 4*j(i) + 5*v(i). Find the third derivative of k(n) wrt n.\nAnswer: -117360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**5*o - 12*d**4*o + 60*d*o - 2*o wrt d.\nAnswer: -80*d**3*o - 144*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + 2. Suppose -b*k + 5 = 3. Suppose -t + 0 = -8. Calculate the highest common divisor of k and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 8:00 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a + 5. Suppose 4*x = -0*m + m + 16, 4*m = -3*x + 12. Let k be h(m). Suppose r - k = -0*r. Let y(z) = -z**2 + 6*z + 4. What is y(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*j + 962642 = 959078 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125776 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071470607 and -0.3?\nAnswer: 0.0214411821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 5 + (0 - -2). Suppose 4*h + n = -3*n + 16, n + 11 = m*h. Solve b = -h - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1025947635 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123917906 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24505 + 24499.7065. Let a = k - -5.3. Round a to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 8*n)*(-n + 4*n - 2*n) + 2*n**2 - 5*n**2 + n**2 + (0*n - n - n)*(2 + 2*n - 2) + 3*n**2 - 3*n**2 - 2*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -114, -279, -588, -1089, -1830, -2859, -4224?\n\"Answer: -8*h**3 - 13*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 227*n**2 + 28*n + 15*n - 43*n. Let v(f) = -f**2. What is v(m(p))?\nAnswer: -51529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + 11985\/(-425))*15\/4.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 4*k - 2, 0 = 4*k. Suppose 4*i + h*r = 5*r, 3*i = r + 5. Suppose x = -i*x + 84. Calculate the highest common divisor of x and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/9)\/(-5))\/((-12)\/(-27))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -7*h**2 + h - 3. What is the remainder when (84\/(-15))\/((-1)\/5) is divided by o(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5886 and -29.\nAnswer: 75.0694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3423370099?\nAnswer: 14153, 241883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -41*p + 351. Calculate a(4).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1652*y**2 + 3218098*y - 3896.\nAnswer: -2*(y - 1948)*(826*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from chtaaczccczzzzzczcax?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76160\/630 + 2\/(-2 - -20). Calculate the highest common factor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.56066l in millilitres?\nAnswer: 23560.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*a + 5236, -a - 17*x = -20*x - 1032. Calculate the highest common factor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6690 (base 12) to base 13.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1090, 2279, 3456, 4615, 5750, 6855?\nAnswer: 7924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -2*s. Let w(k) = k**3 - 8*k + k**2 + 0*k**3 + s + 6*k**2. Let t be w(-8). Solve 2*x + 1 = d, -4*d - 3*x = -t*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027449 - 615209317.\nAnswer: -615209317.027449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0 + a - 2 - a**2 - 6*a + 0*a**2. Let d be g(-4). Let t(b) = 3*b**2 - b. What are the prime factors of t(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 9*t - 0*t - 0*t - 16, 4*l - 132*t + 131*t = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 405\/(-15) + 19 + 61\/8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j - m - 10, -5*j + 20 = -5*m. Put j, 1, -3 in ascending order.\nAnswer: -3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(0*b**2 - 2*b**2 + 3*b**2)*(-2 + 0 + 0).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + 3?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4917.121 litres to millilitres.\nAnswer: 4917121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12873957.09 rounded to the nearest 10000?\nAnswer: 12870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 + 7*q**2 - 31*q + 1682. Determine x(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -38 + 38 + 7*(2 + -1). Suppose -u = -5*m + 8. Suppose -4*z = n - 201, z + 53 = 2*z + m*n. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109333 is divided by 54663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 123121.8ml?\nAnswer: 123.1218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 - (-3 + 8)). Suppose 2*u + 669 = q*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 53*t - 1. Let h(q) = -61*q + 1. Calculate h(o(p)).\nAnswer: -3233*p + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3124\/3 - 1041. What is the nearest to 3 in -4, 5, m, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*d + 26, -7*j - 22 = -9*j - 4*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 3*d)*(-3 - 1 + 1)*(-1 - d + 1).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2751 + -2696.79. Round r to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/15*-5*45\/(-48). Which is the nearest to -11? (a) 1\/4 (b) -4 (c) m (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030212233 (base 4) to base 16\nAnswer: 4c9af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0379 + 20.1279. Round t to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 + 257943*d - 2579730 = 0. What is d?\nAnswer: -85991, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229966, -229978, -230006, -230056, -230134?\nAnswer: -230246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y**5 + 13615*y**4 + 130045*y**3 + 274325*y**2 - 171375*y = 0.\nAnswer: -5, 0, 1\/2, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5 + 19*b**6 - b**5 + 625*b**2 - 646*b**2 wrt b.\nAnswer: 2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 5028*f - 6320196.\nAnswer: -(f - 2514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/520 and 99\/9880?\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 34 - 6. Let r be (25\/(-2))\/(j\/42). Let a be (-2)\/(-15) + (-10)\/r. What is the nearest to a in 1\/7, -3, -16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e0b8d (base 16) to base 7\nAnswer: -34435464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:37 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*h + 2*h. Let p be (3\/(6\/h))\/(-2). Suppose 0 = -p*z + 4*z - 34. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**2. Let k(f) = -63499*f. Determine k(y(o)).\nAnswer: 380994*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 12. Let a be (-9)\/54 + (-3)\/((-36)\/38). Suppose -3*u + 5 = -a*p - 8*u, -2*p - 18 = -4*u. Give x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 15 = -j - 4*w + 10, -20*w = -10*j - 180 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -4. Calculate the lowest common multiple of 22 and -4*(9\/6 - z).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391 by -391.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:13 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1896402 minus -0.09?\nAnswer: -1896401.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -706568 in 0, 3, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -41\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 4*s. Let t(p) = p + 4. Determine t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 16*h + 392 = 0. Suppose 4*m - r = -2*r + h, m - 17 = -4*r. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p + 1. Let v be b(-12). What is the lowest common multiple of ((-1)\/2)\/(v\/(-3910)) and 5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.081*-0.09\nAnswer: -0.00729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4716*b**2 - 4714*b**2 + 5*b**3 - 4*b**3 - 2 - 42*b**4 - 3 to the form m + k*b + c*b**3 + u*b**2 + s*b**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:51 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 12*a**4 - a + 4 to the form c*a**3 + d*a + y + r*a**2 + s*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/158025 and 71\/1517040.\nAnswer: 7585200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:09 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 945877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(6\/36 - (-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6 - 4\/6) + 3. Suppose 34 = 3*u + 2*s - s, -u + 13 = k*s. Suppose u*h - 13*h = -12. Calculate the lowest common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i - 182 = 59 + 9 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 11:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_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: Let z(l) = 791*l + 7061. What is z(-9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 23958.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i - 1. Let q be m(5). Let b be 0 - 1 - (-10)\/q. Suppose -k - 5*p = -1, 2*k = k - 4*p. Is b <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 18. Let t be x(0). Let y = -11 - t. Let k = y - -6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126038771 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(-2*l**2 + l - l + 0*l**2 - 3*l**2 + 2*l**2 + (-3*l**2 - l**2 + 2*l**2)*(3 + 2 - 3) + 3*l - 3*l - 3*l**2) to a*l + b + c*l**2 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 5?\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 21*y - 6. Let c be s(10). Let r(v) = c + 558*v - 565*v + 0. Let w(i) = 15*i - 9. What is 13*r(h) + 6*w(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*b**3*x**2 + 3*b**3*x - 3*b*x**4 - 5*x wrt x.\nAnswer: -134*b**3 - 36*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 275 = 3*d, 40897*d - 380 = 40892*d + 4*m for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let d(r) be the first derivative of -4*r**3\/3 - r**2 + r + 341. Give d(t) + 2*j(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736097 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 5*u**2 - 7*u - 10. Let d be a(-6). What is the units digit of (-7)\/d - (-10)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6065 or -6072?\nAnswer: -6065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 h when four letters picked without replacement from oocoooooccohhohoho.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -321540?\nAnswer: 321540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r. Let p be g(0). Suppose k - 4*a - 24 = p, -2*k + 24 = -3*a + 7*a. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 2 + -3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5087 - -14767. Let b = i + -11389. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 - 704 = -12*f. Let v(a) = 4*a**2 + 2*a + 2. Let n(j) = 1. What is f*n(p) + v(p)?\nAnswer: 4*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.6. Let v = -1147.5 + 1147. Let w = -0.1 - -0.1. Which is the nearest to w? (a) g (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -57*i + 8. Let b(a) = 792*a - 110. Let l(c) = -4*b(c) - 55*n(c). Let z(p) = 10*p - 9. Give l(z(g)).\nAnswer: -330*g + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - -1*(1 + sqrt(162)))**2 - (4 + 2*sqrt(162))) + -5 + (sqrt(8) - (sqrt(160)\/sqrt(4))\/sqrt(5))\/(sqrt(4) + sqrt(36)\/sqrt(81)) + -5.\nAnswer: 18*sqrt(2) + 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 18*n**2 + 19*n. Let y be s(18). Let f = y - 333. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -104*y + 103*y + 329, -5*y + g + 1626 = 0. What is the greatest common factor of y and 598?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 19 - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85469166?\nAnswer: 2, 3, 17, 279311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1619 - -6?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392136283 and 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 945*t**2 - 210564*t + 6402240.\nAnswer: -(t - 624)*(t - 285)*(t - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - r)*(-3 + 1 + 3 + (-2 + 3 - 2)*(-1 + 3 - 1) - 3 + 3 + 1 + 2 + 0 + 0)*(-r**2 + 5*r**2 - r**2 + (1 - 2*r - 1)*(-5 + 3*r + 5)).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120272197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -27. Let j(w) = w**2 + 11*w + 13. Let u be j(x). Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s*u**2 - s + 4008*u**2 + 20*u - 32 wrt u.\nAnswer: 4*s + 8016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jott when four letters picked without replacement from ojojttjjjtjjjojt.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51451968 divided by -3.\nAnswer: 17150656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 707 - 501. Which is greater: y or 204?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -93*i + 48. Let w be d(1). Suppose -13 + 72 = v. Let m = v + w. Solve -m + 2 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 199*v**4 - 305*v**4 - 327*v**4 + (-1 - v + 1)*(2*v**2 - 2*v**2 - v**3).\nAnswer: -432*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 889*i + 21384. Give m(-24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4876699 divided by 105\nAnswer: 4876699\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 5*n - 1. Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*j**4 + 2*j**2 - 57*j + 7 wrt j?\nAnswer: -240*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-8*3\/24*4. Suppose -118 - 42 = -b*l. Calculate the smallest common multiple of 12 and 2\/4*(5 + l - 5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 12 - 0. Let a be (2\/k)\/(1\/8). Solve 0 = 2*n + a + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from idyvddiiipvp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1292690 or -18097669\/14?\nAnswer: -18097669\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5*(-105)\/6 - (-84)\/56. What is the biggest value in v, -7, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443624 (base 7) in base 4?\nAnswer: 2202230302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*j**2 + 16955*j + 48293 wrt j.\nAnswer: 22*j + 16955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 6*v)*(-57 - 12 - 26)*(-2*v**3 + 2*v**3 + v**3) to the form n*v**2 + j + m*v**4 + b*v**3 + u*v and give m.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27487 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 1\/22, 73, 2 in increasing order.\nAnswer: 1\/22, 2, 5, 36, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/9))\/(o*(o**5*o*o)\/o*o*o))\/(o*o**6*o*o**2*o))**(-4\/3) assuming o is positive.\nAnswer: o**(676\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -602, -1211, -1840, -2489, -3158?\n\"Answer: -10*k**2 - 579*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3018, 5982, 8948, 11916, 14886, 17858, 20832?\n\"Answer: x**2 + 2961*x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 103*b**2 + 111*b + 772. Give z(-102).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let n be 4\/(-6) - (-32)\/12. Suppose 21 = v*h - y + 5, -5*h = n*y - 58. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14250140 - 3?\nAnswer: 14250133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38215, -38214, -38213, -38212?\n\"Answer: j - 38216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004339 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 4*k**2 + 108 - 51 to o + z*k**2 + x*k and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(10\/9))**(2\/3))**(-30) assuming i is positive.\nAnswer: i**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/254884 and -15\/14?\nAnswer: 254884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -426077*r. Let m(d) = -2*d. What is b(m(h))?\nAnswer: 852154*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62\/20 - (-9)\/(-6)*2. Which is the second smallest value? (a) -0.5 (b) g (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -604*t**2 + 2265*t**2 + 1148*t**2 + 1229*t**2 + 4 - 3 as w*t + h*t**2 + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let q(n) = 2*n**2 - 3*n - 1. Let x be q(k). Suppose -b - a = -0*b - x, 0 = 2*b - a - 14. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 26 = g + 17. Put -2, -2640, g in descending order.\nAnswer: -2, g, -2640","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -129*j - 1109. Determine c(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 32629962?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v + 19. Let m(s) = s**2 - 12*s - 19. Calculate the remainder when m(-3) is divided by g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - v**2 + 5*v - 5. Suppose 3*p - 2 = 10. Let o(k) = 2*k**3 + 4*k - 4. Let s = -7 + 4. Let t(c) = p*o(c) + s*n(c). Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 times -14768?\nAnswer: -9894.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*q = 1837 + 1573 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(1\/3)*y*y**(-5)*y**(-5)*y**(-4))\/((y**(1\/2))**(2\/19))**(1\/8) assuming y is positive.\nAnswer: y**(-5171\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10655554 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 137. Let a(w) = -w + 13. What is 4*a(c) - s(c)?\nAnswer: -4*c - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m - 1\/2*m**2 + 3. Calculate v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27240*n - 27242*n - 56 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30672.18 minutes in weeks?\nAnswer: 3.042875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, f: 8, l: 5}. What is prob of picking 3 w?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83899 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 3}. Give prob of sequence ssc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5515?\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, s: 3, l: 5, v: 1, e: 2}. Give prob of picking 1 e and 1 d.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 40, 2471 = -3*l - 5*v + 2443 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001427 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26.5 and 39175690?\nAnswer: 39175663.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 136\/32)*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3769 at most -4\/695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.31 + 6.09. Let u = l - 10.4. Sort u, 49, 1\/4 in ascending order.\nAnswer: u, 1\/4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 40 = -3*m - 1, 3*m - 4*r - 45 = 0. Suppose -11*p - 33 = m. Let x = -148 - -147. What is the nearest to x in -3\/4, p, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 21*h - 85 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2*p - 3, -2*s - 2*p - 7 + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 - 5*z**2 - 5*z - 15. Let y(o) = 7*o**3 - 6*o**2 - 6*o - 16. Let n(q) = 6*v(q) - 5*y(q). Differentiate n(r) wrt r.\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8560686 rounded to 2 dps?\nAnswer: -17.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144751687.\nAnswer: 144751687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(sqrt(68)*2 - sqrt(68))**2 + 5 + 2.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35655550.3441505 + -35728519.0392. Let x = -73008.695 - y. Let h = 40 + x. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 11121?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7277 is divided by 433?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:19 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(((-2)\/8)\/((-21)\/(-24))). Put 2\/13, 0.08, y in decreasing order.\nAnswer: 2\/13, 0.08, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/168)\/(10\/(-30))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from vvlvvvvvvvvlvvvvvv?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -87 divided by -29\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -14, 4 in decreasing order.\nAnswer: 12, 5, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - ((61 - -10) + -76) - -88?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -30a28?\nAnswer: -30a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12888 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**3 - 38*x**2 + 290 wrt x.\nAnswer: -12*x**2 - 76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207462 and 48213.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145 + -3?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**6\/360 + u**5\/40 - u**3 - 2. Let j(h) be the third derivative of z(h). Find the second derivative of j(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37088 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*y**3 - 90241*y - 6 + 90241*y)*(7 - 11 - 13) as a*y + i*y**2 + j*y**3 + b and give j.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 51 = 4*h + 13*c, 0 = 2*h - 4*c - 30 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**5\/30 + 5*d**4\/24 - d**3\/3 + 10*d**2 - 3*d + 52. Let r(s) be the second derivative of v(s). Give r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1472331*y**5 + 4751317*y**2 wrt y?\nAnswer: 88339860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 53.49429ms?\nAnswer: 0.05349429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -0.060496.\nAnswer: -0.139504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - ((5 - -17) + -14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 62?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.16 - 98.04. Round z to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -5*c - 212 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*s - 128. Let c = -14 - s. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d, 2*s + 2*d = 0. Let y(j) = s*j - 7*j + j. Determine y(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 * 3.1\nAnswer: 167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/4 - 2*y**3 + y**2\/2 - y - 1. Let d be r(6). Let t = d - 6. Is 0 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136\/521 or -1?\nAnswer: 136\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -4)*17\/((-3)\/3). Suppose -3*a + 358 = -2*r, -5*a - 97 = -2*r - 691. Calculate the common denominator of a\/(-72)*(-19 + k) and -151\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36548.\nAnswer: 2, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-20)\/i)\/i)\/(i*i\/i**6))\/(i**(-9)\/(((i*i\/(i**(-5)\/i)*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) - (-216)\/(-21). Let l = -1 - r. What is the greatest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-14) + 30\/8. Let q = 4 - k. Which is the biggest value? (a) q (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 21*f**2 - 149*f - 382. Calculate p(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5\/3 + 23392*q**4\/3 - 9474521*q**3\/3 + 41366206*q**2\/3 - 52518716*q\/3 + 14994664\/3 = 0.\nAnswer: 2\/5, 2, 443, 4231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (12 - 1) - (13 - 286612) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(12) - -3*sqrt(12))*-5)\/(2*sqrt(16)).\nAnswer: -5*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -10 + -8 + 2 + -5 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149590576 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c06 - 1?\nAnswer: c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -78*a + 333. Let h be r(4). Let n = -6 - -3. Let v(o) = o**2 + 5*o + 6. Let z be v(n). Put 2, h, z in ascending order.\nAnswer: z, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 + 89*a**3 - 77*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10)\/k**(-11))\/((k\/(k*k**(-3\/2)\/k))\/k**(-9)) assuming k is positive.\nAnswer: k**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 232\/20 - 2\/(-5). Solve h = 2*d - 5*p, 3*d + 5*p + 6 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 4. Let a(c) = -3*c - 2. Let m = 7 + 0. Determine m*a(z) - 3*d(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qca when three letters picked without replacement from {b: 1, c: 1, f: 1, q: 1, p: 2, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 5*b**4\/24 - 290*b**2 + 3. Let l(t) = 222*t. Determine l(s(v)).\nAnswer: 1110*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*w)*((0*w + 2*w - 4*w)*(-2*w + 0*w + 4*w) + 914*w**2 + 409*w**2 - 5829*w**2 + 1) as a*w**3 + x + s*w + l*w**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*d**2*z**4 + d**2*z + 3*z**4 + 51*z**3 + 14054*z**2 wrt z.\nAnswer: 1488*d**2*z + 72*z + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**2 + 13*b - 39. What is l(3)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 - 67*s**3 + 4 + 4*s**3.\nAnswer: -56*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 3586*f - 182 = -3590*f, -f = -5*h + 85 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -82*a - 3. Let i(j) = 41*j + 1. Give -5*i(m) - 3*y(m).\nAnswer: 41*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let x(p) = -p - 2*p + s*p. Let j(w) = -9*w**2. Let c(v) = -10*v**2. Let b(q) = -6*c(q) + 7*j(q). What is b(x(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 223, 704, 1627, 3136, 5375?\nAnswer: 8488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46\/1127*(-1 + 3)*14\/4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1067 + 1069. Let f = 4.98 + -5. Let z = 0.07 + f. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36177*i + 36183*i + 120 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 19*h**2 + 40*h.\nAnswer: -h*(h - 40)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17370.6 and 34.5.\nAnswer: 17405.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/15 + 44\/5. Let j(t) = 8 + h - 11*t - 14. What are the prime factors of j(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011010100 (base 2) to base 7\nAnswer: -5045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 1, g: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -990 - 6*h + 22*h**2 + 1994 - 967. What is the thousands digit of m(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 660*i**3 + 75*i**2 + 8*i - 918135 wrt i.\nAnswer: 1980*i**2 + 150*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 609*m**2 - 2*m. Let p(t) = 2*t**2. Determine v(p(u)).\nAnswer: 2436*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:07 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + j - 6. Suppose 0 = -l - 0*k - 2*k + 5, 0 = 2*l + k - 13. What is the lowest common multiple of z(l) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tedpttpjtedpprp. What is prob of picking 1 r and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**2*n - 143*l**2 - 68*n + 6 wrt l?\nAnswer: 10*l*n - 286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 6*k - 57. Determine m(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 >= -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/16 - 411\/(-24). Let l = 47 - b. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 310*g - 1472. Let v be d(-5). Solve -4*b + y + 22 = 0, -3*b + 1 = v*y - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2890*x**3 + 4*x - 4. Let z(k) = 14448*k**3 - 21*k + 21. Give 21*g(i) + 4*z(i).\nAnswer: -2898*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1.1, -3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66448 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**5 - 5*l**4 + 5*l**3 + 5. Let c(q) = -q**4 + q**3 + q + 1. Let b(o) = 5*c(o) - x(o). What is the second derivative of b(j) wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-10))\/(6\/20). Solve m + 2 = -2*b, 0 = -5*b - m - o + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 119268*t + 254. Determine l(0).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -533, -507, -463, -395?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3133 is divided by 2349?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.4, -2, 174\/13, 3?\nAnswer: 174\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10956\/(-1079) + (13 - 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 36*f - 1. Let b(h) = -5*h - 1. Let n be b(-1). Let y be g(n). Suppose p + y = 2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 + 5 = 0. Let p be (-10)\/(-5)*(-6)\/(-4). Solve -p*l = 3*g - 24, -2*g + 5*l = l + s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = -5*b, 0 = -121*b + 150*b - 5*d - 177 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -366*a**2 - 413*a + 139*a + 129*a + 146*a in the form r*a**2 + z + f*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x = -34*x - 90. Solve -2*u = -4*c + u + 1, -x*c = -3*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -100*h + 112. Let d(o) = -40*o + 47. Give 12*d(l) - 5*g(l).\nAnswer: 20*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 q when four letters picked without replacement from {p: 3, q: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.9 - 41.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1459*d + 181. Let v(o) = -2918*o + 326. Calculate -9*g(x) + 5*v(x).\nAnswer: -1459*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 13) to base 16\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 366, 5354, 19486, 47334, 93470, 162466, 258894, 387326?\n\"Answer: 762*d**3 - 346*d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*z + 20 = g, 4*g + 5*z - 47 = 0. Let b be 9\/(36\/g) + 7. Suppose b = -t + 29. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1350.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, 4 in increasing order.\nAnswer: -45, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 32.2 and 100.\nAnswer: 132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 68 + 25*s**2 - 25*s**2 + s - 2*s**3 to the form y*s + u*s**3 + x + n*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqeezezwzzzze. Give prob of sequence mzez.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**2 + 4*w + 1. Let b(q) = -12*q**2 - 7*q - 2. Calculate 3*b(h) + 5*f(h).\nAnswer: -6*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 13*i = 37*i - 950040. Does 42 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + (6\/10 - 14\/(-35)). Let w(c) = 11*c - 45. What is the least common multiple of 12 and w(l)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**7\/7 - 61*p**6\/6 + 3*p**5\/5 + p**3\/3 + 171*p + 8339. What is the third derivative of u(y) wrt y?\nAnswer: -120*y**3 - 3660*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*s**4 - 120*s - 1 wrt s?\nAnswer: 3972*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -464 and 0.1.\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 116122, 116122, 116124, 116128, 116134, 116142, 116152?\n\"Answer: g**2 - 3*g + 116124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpx when three letters picked without replacement from pxpxppppxpppfxppxx?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294518768?\nAnswer: 2, 3733, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72359 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from {s: 1, t: 2, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*n - 62 + 60 = 0, -4*n + 1 = -j. Let r be -8 + 2\/(-4)*2. Let h = -4 - r. Put j, h, 0 in decreasing order.\nAnswer: h, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107365434.\nAnswer: 2, 7, 463, 170837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*x + 11, 5*z + 3*x = -x + 19. Suppose 0 = 10*q - 6*q - 4*c - 12, 5*c - 9 = -q. Solve -z*o + q - 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -4986584.\nAnswer: -7\/623323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 (base 8) in base 2?\nAnswer: -110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 228805608 to the power of 1\/2, to the nearest integer?\nAnswer: 15126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75599255617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -20, -13, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 + 2*p + 1. Suppose -2*m = 5 + 13. Let u(s) = 2*s + 20. Let y be u(m). Calculate v(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/6 - 2*i - 11. Let b(g) = 3*g + 7. Give b(r(v)).\nAnswer: -6*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13972 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 c = -5 + 3. Let w = 1.8 + c. Let a = w + 0.2. Which is greater: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*o + 2*o + o)*(-2 + o**2 + 2) - 14*o**3 + 18*o - 18*o)*(2788 - 2788 - o + 29*o**2).\nAnswer: -464*o**5 + 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.47, -0.02, -2, -5 in decreasing order.\nAnswer: 0.47, -0.02, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, v: 3, e: 2, k: 3, d: 1}. What is prob of sequence vekv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-49)*(j*j**(1\/7))\/(j**(-16)\/j) assuming j is positive.\nAnswer: j**(-902\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*x**2 + 31 + 431 - 149*x**2 - 86*x**2 wrt x.\nAnswer: -582*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002861 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.3. Let h be (1\/(-3))\/((-14)\/(-12)). Let f = -2413220.5 + 2413220. Which is the second smallest value? (a) h (b) -1 (c) t (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 + 6*g**2. Let r(i) = i**3 - i**2. Calculate 5*f(l) + 30*r(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2. Let b(c) = 12705*c - 1730. Calculate b(l(z)).\nAnswer: -25410*z**2 - 1730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13610.9 and -142?\nAnswer: -1932747.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 11*f - 63. Let w(z) = z**2 - 5*z + 30. Let p(d) = 7*h(d) + 15*w(d). What is p(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 5\/6*f**3 - f + 0*f**2. Let c(a) = -5*a**2. Let z(d) = -6*d**2. Let g(l) = 7*c(l) - 6*z(l). Give g(k(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -7.5 (c) 4579\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22596*v + 5645*v + 5645*v + 5651*v + 5642*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7242 and 16\/51?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**3 + 23*x**3 + 101 - 4*x**3 + 19 + x as a*x**2 + z*x + w + q*x**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:32 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1388753, 3 in increasing order.\nAnswer: 3, 4, 1388753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -0. Let y be 2 - (4\/h - -4). Suppose -w + 0*w + 13 = y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 20. Sort x, -1, 3.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/3 - 20*j - 21. Let k(w) = 2*w**2. Calculate k(v(a)).\nAnswer: 2*a**4 + 80*a**2 + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:18 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p. Let g(v) = 2*v. Let o(s) = -34*g(s) - 6*y(s). Let d(l) = 24*l**2 - 74*l**2 + 27*l**2 + 22*l**2. Calculate d(o(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -353?\nAnswer: -353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u = 48340002 + 3322927 + 53816005. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) + ((-16337)\/(-884))\/(-31).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11991127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059849 rounded to 7 decimal places?\nAnswer: 0.0000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1234, 1233, 1232, 1231?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.0069035 to one dp.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*z = -152, -4*z = f - 25 - 18. Suppose 5 = -r, -4*i + r = -2*r - f. Solve -3*g + 6 = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/n**(-9))**(2\/19))**(-11) assuming n is positive.\nAnswer: n**(-88\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 3*n + 1. Calculate the remainder when (-10)\/(-6)*(-4896)\/(-240) is divided by w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5641 = -490*z + 11819 - 5210 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -6, 14, -1 in ascending order.\nAnswer: -6, -1, 14, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -12, 119*r = 114*r + 4*s + 86294. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 1))*-1)**2 + (sqrt(252)*2*-3)**2 + sqrt(252) + -5.\nAnswer: 6*sqrt(7) + 9068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285 - -305) + (-11 - -9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14772*17\/(-6120) - -41.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136 - -4. Let m = -47 - i. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + 0*y**2 - 6*y**2 + (0 - 1 + 0)*(-3*y + 3*y + 2*y**2) - 2*y**2 + 3*y**2 - 2*y**2 + (-4 + 0 - 4)*(2 - 1 - 3)*(-6 - y**2 + 6).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*5 - sqrt(153))\/(1*sqrt(81)) - ((sqrt(153) + sqrt(153) + (sqrt(153)*1*-6 - sqrt(153)))\/(5*1*sqrt(9)))**2.\nAnswer: -17 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13*l - 2986 = 14*l, 2*n = 5*l - 2019. Let y = -697 - n. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43430 divided by -8686.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -23*168\/(-16)*4\/6. Let y be (-3)\/(7 - m\/14). What is the closest to y in -0.2, 26, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10550, -20764, -30980, -41198, -51418, -61640, -71864?\nAnswer: -82090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 s when three letters picked without replacement from ggigiiiissiigiiiisii?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5863735 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o + 3. Let g = o + -2. Let f(k) = 3*k**2 - 2*k. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + 63*d + 42*d + 30*d - 2*d to the form g + f*d and give f.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019993 to 6 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.2. Let g = 126 + -121. Suppose -5*j - 50 = g*r, -r + 8 = -2*r - 3*j. What is the closest to m in -0.5, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + 2 + (-1 - 2 - -2). Suppose -t*j + 48 = -j. Find the common denominator of (-26)\/j + (0\/(-3))\/(-1) and -67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4))\/(y*y\/y**4))\/(y**(-1\/8)\/(y*y**(1\/6)))*y**(-15)\/y**(2\/13) assuming y is positive.\nAnswer: y**(-2141\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14446 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 4*k + 360. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 17.5?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 358603467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 + 2328 = 7*m. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17221922251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j + 16 - 4 - 12. Let u(y) = -2*y. Let c(n) = 11*n. Let b(g) = 2*c(g) + 10*u(g). What is s(b(t))?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -2\/5, -9, -30, -93?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:26 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -2*u, j + u = -252 + 255. Which is the third smallest value? (a) 0.2 (b) -1\/4 (c) 191 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10)*-1)\/((2\/1)\/(-2))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*u, 19*i - 2*u + 6 = 15*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35104\/87735 - 2\/17547. Which is the biggest value? (a) -0.01 (b) -6 (c) 5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3415\/38 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325964 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*b + 18, 0 = -2*f + 8*b - 12*b. Suppose -s - o = -157, -10*s + f*s + 2*o + 616 = 0. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*b + 140*b = 84. Let d be b\/(((-48)\/21)\/8). What is the highest common divisor of 42 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irirrriiii. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53509, -53508, -53507, -53506, -53505, -53504?\n\"Answer: c - 53510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*a**3 + 145*a**2 - 5*a - 10 = 0 for a.\nAnswer: -1, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**5 - 12*h**4 + h**3 - 49*h**2 + 259*h + 9306?\nAnswer: -60*h**3 - 144*h**2 + 6*h - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/(-140) - (-1 + 26\/(-240)) and -37\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060327 to the power of 1\/2, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44518358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1655, -1664, -1675, -1688, -1703, -1720?\n\"Answer: -q**2 - 6*q - 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2 + 0*z - 1\/2*z**2. Let d(c) = -31*c. Determine o(d(j)).\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - g**5)*(1 - 7 + 1) + (-g**4 - g**4 + 0*g**4)*(2*g - g + 3*g) - 11*g**2 - 29*g**5 + 11*g**2 + (0*g**5 - 3*g**5 + 2*g**5)*(2 - 3 + 2).\nAnswer: -33*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833 - 964 + 3537 = 159*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2 - 2 + 3)*(-3 + 0 + 2)*(9 - 42*l - 9)*(4*l**4 + 5*l**4 - 6*l**4).\nAnswer: 252*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 477304 divided by -238652?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/2 - 32. Let i = -1131 - -2259\/2. Sort u, i, 1\/3.\nAnswer: i, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -4, -0.1031, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/11))**(-5\/7)\/(w**3\/(w*(w\/((w**(2\/7)*w)\/w))\/w)))**(-4\/3))**49 assuming w is positive.\nAnswer: w**(1736\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**2 + 13*t - 3. Let w(f) = 3*f + 4. Let c be (-37)\/(-5) - 2\/5. What is c*w(v) - 2*z(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20147 is divided by 180?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/20 + 3\/12. Let o be (12\/(-15))\/(x\/20). Let q(h) be the third derivative of -h**6\/120 - h**5\/12 - h**4\/4 - 5*h**3\/6 - 2*h**2. Calculate q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 1736*z**2 - 1736*z**2.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28743 and 737.\nAnswer: 28743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -84)\/((420\/24)\/7).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a + 637*a**3 - 4*a**2 + 8*a**5 + 578*a**3 - a**5 - 1225*a**3 + 4*a**4.\nAnswer: a*(a - 1)*(a + 1)**2*(7*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3896 + -4207845.\nAnswer: -4203949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2436 - 2427. What is the highest common factor of r and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*i + 65*i + 6576. What is the greatest common factor of i and 2603?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025 + 31*y**2 - y**3 - 18*y**2 + 1025 - 13*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 3 (b) 0.1 (c) -2 (d) -2434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 568554113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3555\/44 at least -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + 0 + (0 - 4). Let i be ((-24)\/u)\/((-12)\/28). Solve 0 = 2*m - i*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*2)\/sqrt(10) + (sqrt(99)*-2)\/sqrt(3))\/(sqrt(27)\/(sqrt(9)*-3) + sqrt(3) - sqrt(18)\/sqrt(6)*3)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -13*u + 1252. Let f(g) = -7*g + 630. What is -11*f(n) + 6*p(n)?\nAnswer: -n + 582","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18773?\nAnswer: 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (0 + -6 + 10 + -2 + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let j(p) be the first derivative of p**2 - p + 283. Give 4*j(c) + 6*n(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 7, 2, -21, -68, -145, -258?\n\"Answer: -n**3 + 14*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*d - 160673, 13404 - 133887 = -3*s + 5*d. Is s a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002727537 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 - 3*t + 3 + 0*t. Let q(g) = -3*g. Give 5*b(a) - 6*q(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, v: 2, t: 1, k: 3}. What is prob of picking 2 k and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88200896 by 476.\nAnswer: 185296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 279, 549, 929?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.049 + -0.005. Let l = -0.054 - f. What is the closest to l in 10, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1178\/3 - 396. Do i and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1703.35 from 1016.1.\nAnswer: -687.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 bigger than 358\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {r: 2, w: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309827 and 10?\nAnswer: 3098270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35518395 greater than 35518395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/24 + v**4\/6 - 37*v**3\/6 - 15*v**2. Let b(s) be the first derivative of d(s). Give b(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:52 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 2. Let j(l) = 22*l - 6. Calculate -5*j(f) + 14*t(f).\nAnswer: -12*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (31 - -4) + -8 + 17 + -3 + 2\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0.3 (b) 29 (c) 3\/7 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71688217 divided by 3?\nAnswer: 71688217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Calculate k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 21604 = -3950. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -1943\/12. Let x(t) be the third derivative of -3*t**2 + 0*t + s*t**4 + 0 - 5\/6*t**3. What is x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/11 + t**4\/11 - 519*t**3\/11 + 2081*t**2\/11 + 1429*t\/11 - 1170\/11 = 0. Calculate t.\nAnswer: -18, -1, 1\/2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (1 + sqrt(396)*2) - (sqrt(396) - (sqrt(396) + 2)*-5) - -6*((3 + sqrt(396))*3 + sqrt(396) + sqrt(396)))**2 + 4.\nAnswer: 11868*sqrt(11) + 211337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 766835 and 49543.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2151796 and 33602?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/4 + 2*b**3\/3 - b**2 - 65*b + 2. Suppose -o + 5 + 7 = -4*u, -3*o = 4*u - 4. Calculate g(o).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + -33?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 54 + 22 + 14*q**2 + 119*q**2 + 3*q + 94*q**2 as d*q + m*q**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 9*h + 1. Let u be -2 - (-6)\/(0 + 3). Suppose -s + 2*s - 9 = u. Let y be q(s). Is 1 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1638)\/(-70))\/(105\/(-175))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11708 divided by 601\nAnswer: -11708\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let t = m - 1. Suppose -225468 - 1374532 = t*g. What is g rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2 + -9. Which is the fourth smallest value? (a) 3\/5 (b) o (c) 2 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -83, -284, -587, -1004, -1547, -2228?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23168952 and 126?\nAnswer: 162182664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 12. Let d be v(7). Let h = d + 30. Find the third derivative of -26*s - 5*s**2 - h*s**3 + 26*s wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 126*y + 2610. Give m(144).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 164*w**2 - 9*w + 957. Let j(v) = 170*v**2 - 7*v + 958. Let m(q) = 6*j(q) - 5*k(q). What is the first derivative of m(p) wrt p?\nAnswer: 400*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1539 and -166.93?\nAnswer: 167.0839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 396776953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -160450968 divided by -15602?\nAnswer: 10284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 0.11. Which is the nearest to k? (a) -14 (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1063 - -1065)*(0 + 14\/(-2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6383?\nAnswer: -5\/6383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.44 - 152.44. Let x = f - -68. Let q = x - -81.9. Do q and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -25*t + 5. Let m(j) = -13295*j - 2. What is m(p(d))?\nAnswer: 332375*d - 66477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + m = -18, -54885*j + 54882*j = 4*m + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z. Let t(k) = 5*k. Let f(h) = 4*j(h) + 3*t(h). Suppose -6*v = -10 + 4. Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 80 = -4*p. Calculate the least common multiple of 75 and p.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353331774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 97 - 97)*(0*s + s + 0*s) - 21*s + 20*s + 2*s**2 + 2*s**2 as h + m*s**2 + p*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) - (sqrt(175) + 0))) + sqrt(175) + 3)**2 + sqrt(175)*-5 + -1 + sqrt(175).\nAnswer: 40*sqrt(7) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h - 1. Let r(i) = 56*i**2 + 2*i - 3. Give 2*n(l) - r(l).\nAnswer: -58*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*b, -3*r + 13*b + 7*b = 17*b - 27 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088737676?\nAnswer: 2, 3, 58020491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l. Let q(k) = 521038*k**2. What is q(a(g))?\nAnswer: 52103800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n\/(n\/(n*n\/(n**(3\/4)\/n*n))))\/n)\/n)\/n)\/n)\/n*((n\/(n**(-5\/6)*n*n))\/n)\/n*n*n**(-5)*n*n*n*(n\/(n\/(n*n**(-1\/3))))\/n assuming n is positive.\nAnswer: n**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, f: 5, o: 1, k: 2, p: 1}. Give prob of picking 2 k.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1320, 3456, 6390, 10122, 14652, 19980, 26106?\n\"Answer: 399*k**2 + 939*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Suppose -3*j + 21 = -3*r, 5*r = -3*j - 2*j - 15. Suppose -33 - n = -j*s. What is the remainder when 125 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:17 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -130*d**2. Suppose 5*j - 213 = -2*g, -g = 14*j - 9*j - 109. Let p(u) = g*u - 105*u - 2 + 2. Give p(y(f)).\nAnswer: 130*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -94. Let u(s) = 3*s**2 + 0 + 0 - s**w. Suppose 2*k - 2 = 2. Let f(i) = i**2. Determine k*u(r) - 7*f(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 450*f**2 - 5484*f - 5936 = 0.\nAnswer: -1, 14, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -35 + 14 + -40 + -14 - -6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8797? (a) -3\/7 (b) 0.5 (c) 0 (d) -2\/3 (e) 7\/106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 + 1 = p, 7 = 3*r + 4*p. Suppose 3*k - 642 = -r*f, 0 = -f - 2*k + 55 + 72. Let g(m) = 44*m. Calculate the remainder when f is divided by g(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 8*y + 310. What is the highest common divisor of y and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -123. Suppose -5*q + l = -9. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)*j**(-10))**(5\/12) assuming j is positive.\nAnswer: j**(-355\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 46*f**2 + 8*f + 602. Calculate v(-46).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -37241*b + 668. Let n(i) = -167*i + 3. What is 668*n(r) - 3*z(r)?\nAnswer: 167*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*y - 569*y + 3 - 3.\nAnswer: -472*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 133157*t - 932024. What is o(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*n**3 + 364*n**2?\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159.62 + 162.62. Which is the closest to 1\/11? (a) 3\/815 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7481, 7442, 7401, 7358, 7313?\nAnswer: 7266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/10 + 91*t**4\/3 - 7708*t**3\/3 - 53016*t**2 + 2054*t. Factor r(p).\nAnswer: -2*(p - 94)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/85, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, -1, 1\/4, 1, -2 in increasing order.\nAnswer: -57, -2, -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4637.3 - 4599.271. Let x = -38 + t. Let g = -0.171 - x. Which is smaller: g or 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -582303739703.\nAnswer: -582303739694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 15. Let b be m(10). Let l be (13 + -6)\/((-42)\/(-12)). Suppose -9 = -4*s + 11. Solve s*i = -l*k - b, -2*k - 2*k = -3*i - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-4*-5*sqrt(7)).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000029707 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*u + 10 = -8, -2*g - 3*u = -29. Let v = 9 + -5. Calculate the lowest common multiple of g and (-6)\/v*(-9 + 3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 228*h - 11882 = 1573 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172125 by -2.\nAnswer: -172125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**8\/67200 + a**7\/25200 - a**6\/7200 - a**5\/1200 + 3*a**4\/2 + 17*a. Let t(l) be the third derivative of f(l). Factor t(b).\nAnswer: (b - 1)*(b + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 78. Suppose -11*u = -x*u - 1444. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 4, d: 2}. Give prob of picking 1 j and 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5220, 5301, 5498, 5859, 6432, 7265?\n\"Answer: 8*z**3 + 10*z**2 - 5*z + 5207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*v - 166*v + 4432629. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -35. Calculate the lowest common multiple of z and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20129*x**3 + 3 - 3 + 2877*x**3.\nAnswer: 23006*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/1360*48*30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 - 204 + 844*l.\nAnswer: 844*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 3, z: 3, e: 2, q: 6}. Give prob of sequence ee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1191052)\/(-18))\/(40\/6). Let x = t + -9923. Find the common denominator of -89\/22 and x.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/3 - 16766*p**2\/3 + 77533820*p\/3 - 59189422600\/3 = 0.\nAnswer: 946, 7910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**4 + 40*t**3 - 49*t**3 - 40628*t + 39337*t wrt t?\nAnswer: -84*t**2 - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71618 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -331*x + 177*x + 205*x. Solve x*c - 212 = -233 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006768320796 to 7 dps.\nAnswer: 0.0006768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/10 + v**5\/6 + v**4\/12 + v**2. Let l(k) = 13*k**3 - 11*k**2 - 2*k + 2 - 2. Let i(g) = -5*l(g) - 6*u(g). Factor i(s).\nAnswer: s*(s - 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n + 10 - 11 - 1 to t*n + c and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 717422?\nAnswer: 71742c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 18 = 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(1288\/(-36))*(-4)\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 16*u**3\/3 - 9*u**2\/2 + 5*u. Is n(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049845 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -532.974*-0.129\nAnswer: 68.753646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/16, 2, 3044\/3, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*u**2 - 394*u + 107*u - 64*u**2 - 50*u in the form o + h*u**2 + q*u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2149170 - 42*r + 42*r + 3*r**3 - 2149148.\nAnswer: 3*r**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/26631 - -174586\/133155. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:58 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.45 - 24.45. What is the biggest value in n, -2\/2037, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 85\/50) + (-1323234)\/4423980. Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*r - 417427 = 12*r + 289603. What is the remainder when r is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + -2*sqrt(19) - sqrt(19)) - (-1 + 2*sqrt(76)))*5.\nAnswer: -35*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/937615107?\nAnswer: 2\/937615107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.532553 kilometers in millimeters?\nAnswer: 2532553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 less than or equal to 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0446 times -0.875?\nAnswer: -0.039025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6*g + 35. Let l = g - -11. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:11 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*1*2 + sqrt(112) - (1 + sqrt(112))*4) + 5)**2.\nAnswer: -8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -215?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 - 21*w**3 - 89*w**3 + 30*w**3.\nAnswer: -102*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {h: 4, q: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 + 72 = 37*f - 0*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530366 and 4920?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21066174, -42132350, -63198526, -84264702, -105330878?\n\"Answer: -21066176*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {f: 1, a: 7, i: 3, v: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1947 + 8076. List the prime factors of o.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1105 divided by -5\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53837, -53834, -53829, -53822, -53813, -53802?\nAnswer: -53789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3152462, -12609866, -28372212, -50439506, -78811754, -113488962?\n\"Answer: -i**3 - 3152465*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 21 + 19. Let l be 2\/u - (-64)\/20. Let a be -2 + (l - 2 - -2). Solve -4*f + a + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1789 + 1791. Let n = 43\/5 + -9. Which is the nearest to n? (a) s (b) 4\/5 (c) -7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**5\/3 + 2*m**4\/3 - 10*m**3\/3 - 4*m**2\/3 + 5*m\/3 + 2\/3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 31.9. Let u = -14 - -14.5. Which is the smallest value? (a) -2\/9 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 6, -2, -14, -30?\n\"Answer: -2*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66.99999318 + -67. What is w rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/2056550 and 37\/5141375.\nAnswer: 10282750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 1. Let t = 12 - 16. Let n(b) = 4*b - 2. Calculate t*n(o) - 9*w(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*i**3 - 104.\nAnswer: 270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((273\/39)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 = 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 + 5\/2*j + 1\/2*j**2 - 5\/2*j**3 - 3\/2 = 0.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 10*j + 70 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2 - 6*s**2 - 7*s**2 - 6*s**2 + 20*s**2 - s. Let w be d(-2). Solve -2*q + 18 = 5*v, -q + w*q - 2 = 5*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6539, 91, -25 in decreasing order.\nAnswer: 6539, 91, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 12 = 0. Let p = -7 + t. Solve -p*s = -3 - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.013 - 4.013. Let h = 824\/7 - 118. Suppose 4*d + 5 = 4*n - d, -2*n = 5*d + 5. Which is the biggest value? (a) n (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -255? (a) 2\/7 (b) -2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -c6a?\nAnswer: -c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:40 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -87097*n + 86967*n + 350 + 869 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28803846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -7*r**5\/60 - 4*r**2. Let z(u) = -13*u**2. Let f(k) = 11*y(k) - 6*z(k). Let g(b) = 6*b. Determine f(g(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 3*u - 1. Let p(k) = k**3 - 3*k + 2. Let d be p(2). Let z be i(d). Suppose z = 2*v - 17. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 157.9?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 271667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p - 9*p**2 - p + 4*p**5 + 4*p**5 wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32484 - 3*l**2 + 5*l**2 - 3*l + 12*l.\nAnswer: 2*l**2 + 9*l - 32484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 + 5. Let a(c) = 2*c - 2. Let b be a(-2). Is 5 a factor of w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.723 - -63. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 65*b. Does 13 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Let y be 14\/(-2)*(3 - x). Suppose -y*m = 2*s - 2*m - 3, -3*s + 17 = -5*m. Solve s + 0 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (756 - 411 + 23*t - 402)*(-2 + 2 - 2*t**2) as p*t**2 + h*t**3 + u*t + l and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 4. Let k be ((-18)\/(-12))\/((3\/4)\/(-1)). Let m be b(k). Factor 3\/2*q**m - 1\/2*q**4 + q + 0*q**3 + 0.\nAnswer: -q*(q - 2)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3192)\/(-147) + -21)\/((-2)\/(-14)). Solve d + 3 = j*o, 3*o + 3*d + 25 = 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1)*1 - -3. Let q(h) be the first derivative of -1\/10*h**5 - 4*h**3 - 8*h + h**4 + 8*h**2 - l. What is f in q(f) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1371 + -774. Let c = a + -343. What are the prime factors of c?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 23.6592 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 4:40 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-244)*(-552)\/414?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/9 (b) 1 (c) -385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 7*m**2 + 4*m - 6. Let o be a(-6). Suppose u - 10 = 4*k, 5*u + 5*k + 8 = -17. Let n be u\/(-6)*o\/(-11). Sort 3, 0, n.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65\/2 + 24121\/742. Let w be 14864\/(-2968) + (-4)\/10. Let u = w + s. Calculate the common denominator of 51\/10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2352 and 28?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6277, 12530, 18725, 24832, 30821, 36662?\n\"Answer: -5*h**3 + h**2 + 6285*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 3*u**2 + 17*u + 82. Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 21100210?\nAnswer: -21100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -3072\/180367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1 + 1 - i - 1. Let t = 14 + -9. What is u(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3128654.\nAnswer: -2\/1564327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 300477\nAnswer: 300477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6474 by -6.\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1041, -3, -0.2, 2\/11, 0.05, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + -164 + 75 + (-31 - -12)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -319017235, -319017233, -319017231?\n\"Answer: 2*x - 319017237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-3))\/(-1)*385\/56. Let r = -8 + d. Which is greater: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q - 2 - 404*q**2 + 27*q + 2 - 43*q as c + x*q**2 + i*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -24 (c) -0.07 (d) 0.3 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*j - 52 = 0, -j + 1 - 35 = -a. What is the remainder when 145 is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Let d(q) = -3*q**2 - 3*q - 2. Let t(n) = 7*n**2 + 7*n + 4. Let g(p) = -9*d(p) - 4*t(p). Determine g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66, -43, -8, 45, 122, 229, 372?\n\"Answer: c**3 + 16*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1, 1, 898, -5, 4.\nAnswer: -5, -1, 1, 4, 60, 898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066812859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/11)*t*t**(-15\/8)*t*t)\/(t\/t**(-21)*t*t**36*t*t) assuming t is positive.\nAnswer: t**(-5277\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05365965638 rounded to six dps?\nAnswer: -0.05366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6825)\/102325) - ((-110)\/10 - -26)?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 15*q - 15. Let j = 5 + 0. Suppose j*y - 95 = -0*z + 4*z, 5*z = y - 40. Let o(c) = c**2 + 2*c + 2. What is y*o(i) + 2*a(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273968 and 2397537.\nAnswer: 8847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 0, 95, 4837.\nAnswer: -7, -2, 0, 95, 4837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-90) + (-2)\/28\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**2. Let r be n(-2). What is the units digit of r\/12*-3 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 35*w**2\/2 + w - 4245. Let r(m) = -109*m. What is r(i(h))?\nAnswer: -3815*h - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)**30)**41 assuming y is positive.\nAnswer: y**2050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2251451, 2251411, 2251373, 2251337, 2251303?\n\"Answer: u**2 - 43*u + 2251493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4376 and 74392.\nAnswer: 74392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279686712.\nAnswer: 2, 3, 43, 1283, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 216.1 * 0.114\nAnswer: 24.6354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10013 + 6759 = 7*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 15288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*d + 4*i, -3*i + 73 = 4*d - 0*d. Suppose -k - d = -2*k. Solve f + 3*w + 7 = 0, -5*w + k = 4*f - 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.5 (c) -29 (d) -0.23 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*u + 5. Let k(d) = 2*d**2 - 2 - d + 5 + 7*d. What is the remainder when k(-5) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -26. Which is the nearest to z? (a) -4 (b) -1\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*f = 770895, -4*y - f + 481033 + 135677 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**2 + 133*q\/5 + 6\/5.\nAnswer: -(q - 3)*(45*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 4*v + 17*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 234*i**2. Let a(d) = d**2 - d - 3. Let h(v) = -v**2 + 2*v + 6. Let p(m) = 2*a(m) + h(m). Determine p(y(f)).\nAnswer: 54756*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by (-21)\/((-168)\/800) + (-4)\/(-8 + 6)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 16*g**2 + 32*g + 259. Let w be a(-17). Solve w*r = -u - 4*u - 10, 0 = 4*r - 2*u - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24*(-1)\/(-2) + -2. Suppose -6*b = -x*b + 8. Suppose h + 3*r = -b*h + 174, -3*r = -2*h + 111. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 193*l - 1 = 197*l, -18 = -4*n + 2*l for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3835 and 747.\nAnswer: 2864745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3\/10*i**3 + 0*i + 1\/4*i**2 + 1\/50*i**5 + 3\/40*i**4 - 15. Suppose x(j) = 0. Calculate j.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -546 times -135.644\nAnswer: 74061.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*-1*(-192)\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*j - 134 - 171, -2*b + 2 = 0. Let c = j - -160. Solve -c*k + 12 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*q + 874, 1094 = 6*q - q - w. Let j(r) = 150*r + 310. Calculate the remainder when q is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*3\/(-6). Let h(r) = -4*r + 1. What is the units digit of h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828*n + 1826*n = 12. Let w(h) = -4*h**3 - 23*h**2 + 9*h + 45. Let m be w(n). Let d be 1 - 1*(-106 - 1). What is the greatest common factor of m and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**4\/6 - 2*h**2. Suppose -2*v + a = -0*v - 16, -5*v + 5*a = -40. Let t(p) = -4*p**2 - 5*p**2 + v*p**2. What is t(k(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, -2\/209, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320222223 (base 4) to base 12.\nAnswer: -b23a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0503 less than -0.73?\nAnswer: -0.6797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3500001*c - 10. Let y be b(-10). What is y rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58, 57, 56?\n\"Answer: -r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 191\/2? (a) -3 (b) -4 (c) 3 (d) -12\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24609 + -11413. What are the prime factors of j?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-2))\/(-5 + 7). Suppose -5*l + 4*p = -h*l - 8, -4*p = 0. Solve -l*g - 5*z = 23, 3*g + 5*z + 24 - 3 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 571730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -4, 4 in increasing order.\nAnswer: -4, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8839 - 380037\/43. Find the common denominator of -35\/167 and j.\nAnswer: 7181","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*q)*(2*q**3 - 3*q**3 + 3*q**3) - 2*q**4 - q + q - q + q - 3*q**4)*(-4 + 4 + 6*q).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0 + 0*d**4 - 13\/30*d**5 + 0*d + 36*d**2 + 7\/6*d**3. What is the derivative of a(x) wrt x?\nAnswer: -52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let a(g) = 4*g. Let s(q) = a(q) - u(q). Let k(c) = -c + 3. Let b(i) = -6*i + 9. Let m(y) = b(y) - 3*k(y). Determine s(m(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 5*i**3 + 39*i**2 - 24 + 1575*i - 13*i**2 - 1575*i.\nAnswer: -3*i**3 + 26*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-3220)\/(-40)))\/((-2)\/(-98)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 13*o**2 + 10*o + 19. What is n(14)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217456, 217461, 217470, 217483?\n\"Answer: 2*b**2 - b + 217455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15308836117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 7*z**3\/6 + 21*z**2\/2 - 49*z + 1. Determine w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-176)\/(-144) + 8\/18. Which is the closest to r? (a) 0.4 (b) -0.4 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76195223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565362758 to the nearest integer?\nAnswer: 23777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 10*b - 4, 5*b + h - 150 = -144 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 13*l = -8. Suppose l*b + 8 = 0, 5*w = w + 4*b + 36. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921048 is divided by 307016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 7, o: 1, g: 3, t: 1}. Give prob of sequence ouoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/99 + (-1254)\/10890 + (-4)\/60\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*k + 5*j, 7*j = -2*k + 3*j - 2. What is the lowest common multiple of 685 and k?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(9 + -5))\/((-3)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -293*l + 182?\nAnswer: -293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2921 (c) -5 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*d**4 + 34*d**3 - 5*d**2 + 693675*d + 2.\nAnswer: -2076*d**2 + 204*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/13))\/(x*x\/(x*x**(-3\/19))*x) assuming x is positive.\nAnswer: x**(-305\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 6*o**2 + 3*o - 4. Let t be f(-7). What is the common denominator of ((-242)\/t)\/((-5)\/(-10)) and 26\/(-22)*(-3 + 4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -33538063 in descending order.\nAnswer: 1, -2, -33538063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851432.\nAnswer: 2, 71, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*v + 112*v + 21 = -4*x - 114*v, v - 5 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/63 - 80\/63. Let y = -26\/15 - c. Suppose 0 = 5*i - 0*i. Is i equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -25*m + 484325. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 13*i**2 - 29*i - 13. Let m be k(10). Let b = -2 + 5. Sort b, m, -4 in increasing order.\nAnswer: -4, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53888481, 53888482, 53888483?\n\"Answer: s + 53888480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - s + 5)*(4 + 2 - 4)*(10*s + 10*s + 7*s) + (2 + 2 - 1)*(4*s**2 + 2*s**2 - 4*s**2).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 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: What is 122821 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318782 = 298*n - 1424362. Is n a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -27, -4, -4592\/45, -1\/2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149098229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 41513491765?\nAnswer: 41513491761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 8, b: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7543206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*i + i + 13, -i = -2*w + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 254*g + 256.\nAnswer: -2*(g - 1)*(g + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.56198 - 29.4\nAnswer: -26.83802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.3 + 20.3. Is -6 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 276*z. Let d(h) = 10038*h. Calculate d(w(p)).\nAnswer: 2770488*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2644 - -335.9356. Let f = s + -336. Let c be ((-1)\/3 + 1)\/(-3). What is the nearest to 0.1 in c, f, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + 10\/(-15). Let n(y) = -y**2 - 3*y + 2. Let h be n(-3). Let w(z) = -2*z - 5*z**2 - 1 + h*z**2 - 6*z**2. Give w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 16*y + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10440395 + -5632593. Let a = -4807756.000698 + h. Let w = -46 + a. What is w rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3*k - 2*h**2*k + 4*h**2 - 254*h + 16*k + 2823 with respect to h.\nAnswer: -3*h**2*k - 4*h*k + 8*h - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/120 - l**4\/16 + l**3\/3 - 5*l**2 - 3*l. Let v(c) be the first derivative of a(c). Factor v(y).\nAnswer: -(y - 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 8*a + 12. Let q be z(-9). Suppose -5*s = -4*s - 2. What are the prime factors of ((-26)\/s)\/(2 - q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 148083273.\nAnswer: 5\/148083273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -58 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*z**2\/2 + 230675*z\/4 - 10741\/4 = 0. What is z?\nAnswer: -467, 23\/494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18054681311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 2. Let w be (0 + -1)*(-2 + 4). Suppose -5*j = -3*q + 8, 2*q = 2*j + j + 5. Let d(m) = q - m + 3*m - m + m. Determine w*f(g) + 5*d(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 7 + 11 + b - 12 - 39 in the form i*b + d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1166685 litres?\nAnswer: 116.6685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -6654708?\nAnswer: -6654708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112421203 (base 5) in base 9?\nAnswer: 862871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*r + 26 + 69 = 417*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*t + f, 4*t + 5*f = t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + 2*j**2. Let t(k) be the first derivative of 0*k**2 - 2\/3*k**3 + 0*k + 2. Determine l(t(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 44 = 5*q, 3*w = q + 3*q + 99. Suppose -f - 2*f = -b + 20, -b = -2*f - 16. Suppose -4*i - b = -28. Solve i*p + 9 - w = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in -5, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 57 - 22 - 26 + 306*i. List the prime factors of p(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174018034 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 19*l + 34. Suppose -6 = -5*w - 3*f, 64*w - 61*w + f - 2 = 0. What is u(w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/22 + -1\/66. Let r = 501.6 + 21.4. Let p = 523.1 - r. Which is the nearest to p? (a) -5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -921*k**3 - 10*k**2 - 5*k - 446. Let g(w) = 460*w**3 + 6*w**2 + 3*w + 223. Let b(o) = -3*c(o) - 5*g(o). Differentiate b(x) wrt x.\nAnswer: 1389*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*n - 75*n + 15*n**2 - 73*n - 69*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**3\/2 - 2*y**2 + 10*y. Let t be (-2 + -13)*2\/(-6). What is the tens digit of b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 7*t - 3. Let y be q(5). What is the greatest common factor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + t - 13. Let i(b) = b**2 - 1. Let a(k) = 3*k**2 - 2. Let s be a(-1). Let u(x) = s*n(x) - 6*i(x). Is 14 a factor of u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 39. Suppose 0*z + 42 = 5*d + 2*z, 0 = n*z - 3. What is the units digit of d\/(-14) + (-1780)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*m = -46, 8*n - 11*n + 40 = -4*m. Let s(z) = 2*z**3 - 25*z**2 + 11*z + 1. Give s(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 0 - h + 4 - 1 to the form v + t*h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2465 nanograms to micrograms.\nAnswer: 0.0002465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 + 3 = 5*x, 0 = 2*z + x - 3. Let k be (-27)\/60*80\/(-60). Factor 3*y - k*y**z + 0.\nAnswer: -3*y*(y - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 22*m**2 - 132*m + 235. Does 132 divide q(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assssvya. What is prob of sequence yvs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34714 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 5 + 2 + 273*c + 40*c.\nAnswer: c**2 + 313*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 9*z**2 + 12*z**2. Let q(r) = -5*r**2 + 11. Let l(g) = -g**2 + 2. Let s = 10 - 8. Let k(u) = s*q(u) - 11*l(u). Calculate k(v(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2241 - 20206\/9. Let s = 400\/3 - 132. What is the common denominator of s and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20 = -6*t. Solve -4*j - 4*n = 4, -j - t*n = -2*j + 29 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 33*c**2 - 61*c + 51. Determine s(-7).\nAnswer: -1825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 244 = b, 2*m - 6*m = -5*b + 1248. Suppose -3*k + b - 32 = 0. Let g be (-1 - -17 - 3) + -4. Calculate the greatest common divisor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 779.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205.569 - -204.6. What is s rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65554850, -131109701, -196664552?\n\"Answer: -65554851*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - -50 - (1 - 1). Let k = y + 3. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 2. Let x be t(0). Suppose -3 = x*i + 1. Let a(b) = -131*b**3 - b**2 - 4*b - 3. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7827 - -7866. Which is the fifth biggest value? (a) 0.4 (b) -2\/11 (c) t (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19316 and 1967988.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/7 - 10782472*n\/7 + 7266356401924\/7.\nAnswer: 4*(n - 1347809)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0 - 1\/6*n**4 + 24*n**2 + 0*n + 1\/360*n**6 - 1\/12*n**5 + 0*n**3. Let s(l) be the second derivative of o(l). Calculate s(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:07 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13507 = -3*p - 4*s + 84207, -5*s - 97678 = -3*p. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + ((sqrt(80) + 1)**2 - sqrt(80)))*1 + -2) + 3.\nAnswer: -382 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17*m + 309. Give q(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.1, -1, -43\/3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 39. Let d be y(14). Let r(z) = z**2 + 1. Let x(m) = -2*m**2 + 75*m + 83. Let j(o) = d*r(o) - x(o). Factor j(u).\nAnswer: 5*(u - 16)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582818949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.06 and -1.505.\nAnswer: 1.5953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*p**2 - 59 + 59 + 203*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(7 + (-1 - 1)). What is the remainder when (-260)\/j - 3\/(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 6. Let r(l) = -l**2 + 12*l + 18. Let n be r(13). Let k(q) = 7*q - 13. Suppose -3 = 5*i + 7. Let d(t) = i*k(t) + n*m(t). Give d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -125*z**2 + 696*z - 417. Give i(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = r - 3*j, -5*r - 9*j - 2700 = -13*j. Let p = 673 + r. What is the remainder when p is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -30*c + 2314. What is the least common multiple of 7 and s(18)?\nAnswer: 12418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 3. Let h be (2*27\/24)\/(3\/12). Let u(b) = -4*b + 7. Give h*f(r) + 4*u(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyy when four letters picked without replacement from {y: 5, p: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (8 - 4)) + 8 - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 696*i**2 - 2060*i - 1368.\nAnswer: -4*(i + 1)*(i + 2)*(i + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/80 + f**5\/120 + f**4\/12 - 2*f**2. Let g(w) be the second derivative of j(w). What is the tens digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide -2 + 2120\/76 + 6\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146906327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38796678 by -6.\nAnswer: -6466113","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, 214, 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -11 - (35 + -65)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(81)\/sqrt(9)) + sqrt(3) + 3.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360239.\nAnswer: 11, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22345, 21288, 18427, 12862, 3693?\n\"Answer: -150*r**3 - 2*r**2 - r + 22498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -378 + 481.8. Let z = l - 114. Round z to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (1*(sqrt(3) + -1*sqrt(3)) - 5*(sqrt(3) + 1)**2)).\nAnswer: 50*sqrt(3) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5192084*z**5 + 4806821*z.\nAnswer: 103841680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 154?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 163*j - 110. Calculate l(-37).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/((-666)\/36))\/(5*22\/1485)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -36\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -17. Suppose 2*t + y = -0*t. Let m(r) = r**2 + 7*r + 5. Give m(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*u = 14, 2*u = -33*v + 34*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565.7524 times 0.2?\nAnswer: 513.15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -51?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-85)*12\/(-18)*(-4980)\/1992?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -285640 greater than or equal to -281892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2277\/181 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250, 1604, 5176, 12076, 23414?\n\"Answer: 185*c**3 - c**2 + 62*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 0*a + 3*a)*((a - 2*a - a)*(2*a - 7*a + 3*a) + 4 - 4 - a**2).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 3.95. Suppose -2*u + 1 = 3. Which is the smallest value? (a) 4\/5 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.55 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -0.07. Let p = -4.046 + 3.7143. Let o = p - q. Round o to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35 - 14)*1*-10. Let g = p + 233. Calculate the remainder when 273 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqp when three letters picked without replacement from {q: 4, v: 4, l: 3, b: 1, p: 2}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 8, m: 1}. What is prob of sequence ff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 7*s**2)*(4*s - 3*s + s)*(-s - 2*s + s).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1700448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0479456 or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71.7385mg?\nAnswer: 71738.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*w + 585 = -821*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17*(-2 + (-6)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-6\/11)*x)\/x*x*x**(-1\/8))**(-1\/20)*(x**0)**(-19)\/(x\/((x*x*x**(-2\/5))\/x)*(((x*(x*x**(-2\/5))\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(3403\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - 1 - (-10 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.11 + -18.11. Which is the nearest to z? (a) 0 (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, 381, -3\/8 in decreasing order.\nAnswer: 381, 0.1, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19321861 less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1053) + -2 + sqrt(1053) + sqrt(78)\/sqrt(6) + -1 + sqrt(13))**2 - (0 + (0 + sqrt(637))**2*-5)*-1.\nAnswer: -720*sqrt(13) + 28069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Solve -6 = z*t - a - 3, 12 = 2*t + 2*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 98 (c) -0.4 (d) -2\/9 (e) -0.0157 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 + 10082*q**2 - 47967312*q + 206182564192\/3.\nAnswer: -2*(q - 6236)**2*(q - 2651)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912 is divided by 1778?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -7*f**4\/3 + 19*f. Let l(b) = -2*b**2. Determine l(u(d)).\nAnswer: -1568*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1 + -779)*2\/(-5). Suppose -o*u = -314*u + 16. Suppose -2*v - 13 = -3*v. Calculate the remainder when v is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63440 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: Solve 3113 = -2*u + m + 3111, 22*u = 4*m - 50 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(252)\/sqrt(7) + sqrt(4)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*b - 16, -5*n + 388 = -4*b + 367 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61265 is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b + 6. Let k be o(-4). Let u be 3\/((2 - 3)\/(-5)). Let h be (0 + -3)*54\/(-54). Solve -k*i = -h*i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 280508005 from 286.226.\nAnswer: -280507718.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from {a: 3, h: 4, d: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 6*y - 6135 = y, -4610 = -3*x + 5*y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + -24. Suppose 4*o = 4*b - 680, 2*o + b + 194 = -134. Let f = d - o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 642245551?\nAnswer: -642245551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 460928 from 0.5.\nAnswer: -460927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766 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: Solve 32*b - 872 = -776 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 232, 967, 2208, 3961, 6232, 9027?\n\"Answer: n**3 + 247*n**2 - 13*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose 2*a - 12 = l. Suppose -286 + a = -9*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 15*q**4 - 24*q**3 - 15. What is the third derivative of f(b) wrt b?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324961 - -0.4?\nAnswer: 1324961.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007624 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011100000110001110 (base 2) to base 7.\nAnswer: 5302031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12290 + -245871\/20. Find the common denominator of -7\/360 and a.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/12 - 6*p**2. Let y(m) = -7*m. Let f(b) = 24*b. Let j be -3*(-10)\/6*-1. Let l(i) = j*f(i) - 18*y(i). Determine l(q(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from stpiiiciuiupup.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + 37. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:17 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6946 rounded to 1 dp?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1613, -3226, -4841, -6458, -8077, -9698?\nAnswer: -11321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11530 is divided by 6867.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 + 286 = -5*x + 3*m, 4*x - 229 = -5*m. What is the smallest common multiple of x and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -68. Find the second derivative of -144 - 2*n**4 - 143 + 436 - 149 - 150*n**f - 195*n wrt n.\nAnswer: -24*n**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from drrdrdr.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*i = 306*i + 25. Sort -24, 1, i.\nAnswer: -24, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 50*k - 4. Let n(s) = s**2 - 75*s + 6. Let x(y) = -2*n(y) - 3*r(y). Let c(b) = -111*b**2 - 10*b. What is c(x(t))?\nAnswer: -444*t**4 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let l be -1 + (-12)\/28*(1 + -8). Let i(o) = -9*o**l - 5*o**2 + o**t. Let p(s) = -2*s**2. Calculate i(p(w)).\nAnswer: -52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 3*a + 3*a + 4*a**3 - 5*a**5 + 4*a - 4*a + 4*a - 4*a - 2*a**5 + (3*a**4 - 5*a**4 + 0*a**4)*(a - a - 2*a).\nAnswer: -4*a**5 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-31 - -22) + 1 + (75 - -12)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -864616, -864643, -864670?\nAnswer: -864697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 83 + 22. Let f be (-2 + 2)*(-3)\/6. Sort q, -4, 2, f in decreasing order.\nAnswer: 2, f, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -0.03, -0.055, -0.3 in ascending order.\nAnswer: -0.8, -0.3, -0.055, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28\/41 + -2\/123. Let f = -5699.6 + 5634.6. Is f greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/(b\/((b*b**(1\/2)*b)\/b)*b))\/(b**(1\/6)\/b*b\/b**(-6)) assuming b is positive.\nAnswer: b**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700944678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*r = 185*r - 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -233*v**3 - v**2\/2 - 297*v + 139. Find the second derivative of u(g) wrt g.\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/612 and (1\/(-342))\/((-16284)\/(-8201) + -1*2).\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18) - 1*(-4 - (-201)\/45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 - 3*f**3 + 3*f**3)*(754 - 167 + 191).\nAnswer: -2334*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -6, -21?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110 (base 3) to base 7.\nAnswer: -2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:19 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let n(w) = -5*w. Let b(p) = -3*n(p) - 7*v(p). Let j(a) = 3*a**2. What is j(b(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 + 8 = 0. Suppose q + 3*s - 3 - 2 = 0, -7 = 4*q + 3*s. Let x = q + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(1\/(-9)). Suppose -i*q = q - 56. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*-1*(1 + 0). Let g = 32 - 35. What is the second smallest value in s, g, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 2, t: 8, p: 1, n: 5}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(k\/k**(-5))*(k*k**(-3)\/k*k)\/(k*k\/k**(-5)))**(-8\/11) assuming k is positive.\nAnswer: k**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1657, -6694, -15093, -26848, -41953?\nAnswer: -60402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 - 3*n**2 - 4*n**2)*(-9*n + 9 - 9) to s + b*n**3 + i*n + q*n**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*3*-1. Suppose 5*j - 215 = 5*m, -r*m - 47 = -j - 0*m. Suppose j = -5*o + 224. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 57. Determine i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.05517 + 0.05517. Is -5 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*i - 5*v + 154, i = 4*v + 39. Suppose i = -5*y - 3*f, 0*y + 3*f = 4*y. Let g = 2661 - 2659. Which is bigger: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 3*k, 5*k - l + 3 = 7. Suppose k = 5*j - 10*j + 75. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91a6 (base 16) to base 10\nAnswer: 37286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1d330 (base 14) to base 4\nAnswer: 102033132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.37271, 8, -1 in decreasing order.\nAnswer: 8, 2, 0.37271, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -129*0.98\nAnswer: -126.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048461226 to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 - 18 = 0. Suppose 0 = -4*v + 27 + 9. Calculate the remainder when a is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - r + 4, -4*l - 3*r + 22 = -9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, p: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*-1 - (-105179)\/10491)\/(7\/21).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j*o*p**3 - j*o*p - j*p**3 + 2*j*p**2 + 2*j*p + o*p**3 + 32*o*p**2 - 134*p**3 - 13*p**2 - p wrt p.\nAnswer: -24*j*o - 6*j + 6*o - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 w when three letters picked without replacement from nwmywymnxwmymmxmw?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*o*p*z**3 + o*p*z**2 + 25*o*p + 4*o*z**3 + 2*o*z wrt z.\nAnswer: 792*o*p + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let g(w) = -207*w + 1. Let z(f) = 417*f - 2. Let d(k) = -9*g(k) - 4*z(k). What is d(q(y))?\nAnswer: -390*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 31 = -6*u. Suppose u*k - 4*y - 22 = 0, -1 = 2*k + 2*y + 1. Let p be -28*3\/(-12)*k. Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5797410 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -378*w. Let k be g(-2). Find the common denominator of (-4)\/(-14) - (-4026)\/k and (-2 - (-15)\/8)*19.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3066\/(-511)*8\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2. Let i be (-5)\/(-4) - 3\/(-4). Let t = -4 + 6. Let m(r) = r**t + i*r**2 - r**2. Give f(m(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z + 938 = -66 - 272 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/a)\/(a**(2\/13)*a)*(a\/a**(-1))**(-50))**22 assuming a is positive.\nAnswer: a**(-28644\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 17 - 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c + 15?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2592 - 1054. Suppose -5*h = -l - y, -h = -4*h - l + 926. Calculate the greatest common factor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 1. Let h be j(-4). Let p(l) = 233*l - 6043. Let g be p(26). Let d(u) = u + 6. Let w be d(-6). Solve w*r + g = h*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g = -39*g + 33. Let o be 18\/12*(4 + -2). What is the least common multiple of o + 2*-1 - (5 + -10) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -0*d + 4*d + 4*h + 6, 0 = -281*d + 43939*h - 43937*h - 1134 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 0 + 4 - (2 + -2*sqrt(1300)) - (1*(-1 + sqrt(1300)) + sqrt(1300)*-3 + -1).\nAnswer: 4 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40149 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 27*j**2 - 12*j + 1740. What is the units digit of v(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) - (1*sqrt(5200) - sqrt(5200) - sqrt(5200) - sqrt(5200)))\/(sqrt(36)*2).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccyyccycyyyycyycyccc.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u**5 + 66*u**4 - 36*u**3 - 320*u**2 + 192*u = 0. What is u?\nAnswer: -2, 0, 3\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 3*p**2 - 3*p**2 - 27*p + 28*p + 1 as f*p + b + s*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let w = o - -8. Let u = -32 + 223\/7. Sort w, -2\/5, u in decreasing order.\nAnswer: w, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 186159810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(1377) + 5 + (-3*sqrt(1377) - sqrt(1377)) - (2*(-1 + sqrt(1377)))**2) + -4 + -1 + 4).\nAnswer: -810*sqrt(17) + 99129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s - 1. Let u be x(-5). Let w = u + -14. Suppose 4*h - w = -h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/2 - 2*g**3 - g**2\/2 + g - 2259. What is o(5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 3*x**3 - 4*x + (5*x**3 - 2*x**3 - 4*x**3)*(-2 + 4 - 4) - x**3 + 0*x**3 + 3*x**3 + 4*x**3 - 258 - x**2 + 258.\nAnswer: 5*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 + 33*g**4\/4 + 66*g**3 - 182*g**2 - 2940*g - 2700 = 0.\nAnswer: -18, -10, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -134, -456, -1138, -2300?\nAnswer: -4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 - 2*f + 20. Calculate n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by -187.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/54 and -65\/522.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7 - 1\/7*a**3 - 24\/7*a - 9\/7*a**2.\nAnswer: -(a + 1)*(a + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -0.02 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 57 = -9. Suppose -16160 = -22*s + d*s. What are the prime factors of s?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038 bigger than 7029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2766*l - 16993. Give o(6).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(1 - 1). Suppose h - 66 = -n*p + 4*p, -345 = -5*h + 5*p. Suppose -h*d + 71*d = 34. Solve 3*k = 5*a + d - 4, k + 1 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1227520\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3632320 (base 10) to base 9\nAnswer: -6745541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/120 + c**5\/5 - 5*c**4\/12 + 2*c**3\/3 + 2743*c**2. Let m be 194\/18 + 4\/18. Calculate z(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) 0.2 (c) -3\/64645 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 10 - 2 + 0 + 9*g - 23*g**2 - 2*g**3. Let p be s(-12). Is -1 + -5 + 6 + p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1215.62 - 1226. Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 144449, -0.1 in increasing order.\nAnswer: -0.1, 1\/2, 4, 144449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - v**3 - 9 - 15*v - 4 + 11 in the form j + n*v + h*v**3 + d*v**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -49 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2009 + 233 - 729 - 639)*(-3 - x - x + 0*x).\nAnswer: 6288*x + 9432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0595 - 34273.\nAnswer: -34272.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4 + 80*l**3\/3 + 200*l**2 - 922. Find t such that i(t) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82318990.\nAnswer: 2, 5, 13, 337, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(931) + -1 + -1 + sqrt(931) + -1).\nAnswer: -84*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 2\/11, 1, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-184)\/18 + (-33)\/(-27) + -1. Let i be (-1)\/(30\/(-44) - k\/55). Solve 4 = -d - d, 3*f - i*d - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(0 - 4) + (-180)\/(-5). What is the highest common factor of x and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/11)\/(28\/154)*(-10)\/80. Let p = -13.03 + 13. Sort -2\/11, p, j in ascending order.\nAnswer: j, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a8c5d (base 16) to base 6.\nAnswer: 101142541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 14 = 0. Suppose a*t + 6 = 10*t. Solve -9 = t*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-3*6\/72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 973755 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 624*y - 26620244 - 13195324. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -23. What is the highest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 32302200003?\nAnswer: -32302200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-79)\/1)\/(14 - 15)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g + 1\/3*g**3 + 0*g**2 - 17. Let p(h) = 25*h**2. Determine y(p(q)).\nAnswer: 625*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -74628 greater than -74627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 61292672?\nAnswer: 1041975424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.88 + 0.9. Let s = l + 0.48. Sort -2, 2\/21, s in ascending order.\nAnswer: -2, 2\/21, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1303*r**3 - r**2 + 4*r - 1. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/7*(-3486)\/14940)\/(6 - 11).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14979 (base 14) to base 6\nAnswer: -1033155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4*s - 16*k**3*s**3 - 37*k**2 + 2*k + 559*s**3 + 2 wrt k?\nAnswer: 36*k**2*s - 96*k*s**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9185 - 9180. Let q = -1.07 + -0.03. Let l = -2.9 + q. What is the second biggest value in l, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313303331 + -330?\nAnswer: 313303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 2. Suppose -13*r + 15*r = -12. Let q be (-65)\/39 - 22\/r. Solve q*o - h + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*o**4 + 55*o + 293*o**3 - 293*o**3 + 14*o**4 + 71*o wrt o?\nAnswer: -492*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*i + 419097 - 428410 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8815369631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-12)\/(-3))*-4. Is 9 a factor of 63\/r - 4\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 3*h + 10*h - 4*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -5*r**2\/2 + 1525. Let k(j) = -492*j**2. Determine k(l(f)).\nAnswer: -12300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -1, 47, 133, 269?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4252, -4250, -4248, -4246?\nAnswer: -4244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 55 = -3*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 - 27*n**2 - 2*n + 12*n**2 + 634*n**3 + 0*n**4 + 8*n**2 - 2*n**4 to the form w*n**4 + i*n + a + c*n**3 + d*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:36 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b8 - a19?\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 4106 - 2950 = 0. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/33? (a) -2\/23 (b) 8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4792 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 80*j**2 + 10*j - 11. Let c be m(1). Let a be 2\/4*-2 - -80. Let z = a - c. Solve 0 = -z*t - 5*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 17*q + 30*q = -6125. Which is smaller: q or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -359*n - 37. Does 31 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343.66315 - -4.39215. Let k = -339 - y. Let z = -0.404 + k. Round z to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccncnnncc. What is prob of sequence cnc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n**2 - 37*n + 37*n. Let r(v) = -3*v. Give r(c(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from snnxsunrnu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 37*b + 400. What is x(-13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 + 34\/6. Suppose -x - 3*n = -0*x - 4, -u*x + 20 = 4*n. Solve o = -2*o + 4*z - 5, -z - 13 = x*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 5 - 5 + (-7*b + 5*b + 9*b)*(-1 + 0 - 1)*(0*b**2 - 6*b**2 + 4*b**2) to v + y*b**2 + i*b + m*b**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from wswkkpkswwsku?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(28)*5 - (sqrt(7) + sqrt(567)*-2))*6 + 3).\nAnswer: -324*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -13 + 10 - 17 - 6\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 14*g + 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + c**2 - 2*c + 2 - 1. Let b(l) = 22*l**2 - 87*l - 5. Let v be b(4). Let a be g(v). Solve -a*z + 3 = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36404 and 1577.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 32. Let h(p) = 436*p**2. Calculate h(l(b)).\nAnswer: 1744*b**2 - 55808*b + 446464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/150 - ((-388)\/(-15) + 4). Sort -5, q, -4.\nAnswer: q, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 42*j**3 + 5*j**2 + 41*j - 439. Let k be m(7). What is the greatest common factor of 81 and k?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x = 4*n + 23 - 115. Calculate the remainder when n is divided by 24\/20*(-48)\/(-32)*20\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -73247*m + 219483. Give v(3).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(272)*4)**2 - sqrt(17)).\nAnswer: -sqrt(17) + 4354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 1, a: 1, h: 1, d: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1857*m - 5491*m + 1856*m + 1777*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (360\/(-96))\/((-14)\/(-8)). Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 200 - 318 - 2*z**3 - z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -459*h**2. Let z(s) = 2*s. Calculate t(z(f)).\nAnswer: -1836*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 111688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-8)*18\/540*12)\/((-389)\/(-63796)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 833681087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10758 is divided by 2134?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 2*f**2 - 3 + f**2 - 27 - 57*f.\nAnswer: -f**2 - 36*f - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 618, 612, 618, 642, 690, 768?\n\"Answer: u**3 - 13*u + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235 + -234.8. Which is the closest to 5? (a) i (b) -0.2 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541*i = 563*i - 990. Solve 5*b - i = 5*r, 2*b - r - 3*r = 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (250 - (5 - 2)). Calculate the remainder when 130 is divided by (1\/(-3))\/(((-28)\/(-4))\/c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099576783 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427*f - 1474*f**3 + 435*f + 222*f**3 + 2 - 880*f wrt f?\nAnswer: -7512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 12 - (65 - 73).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.023 (c) 2\/111 (d) -6382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-392*f + 187*f + 86*f)*(2 - 13 - 9).\nAnswer: 2380*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 20*k + 405. Let p be n(7). Calculate the highest common divisor of 1269 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 5114332\nAnswer: -5\/5114332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/2)\/(75\/(-10) + 9). Suppose -12*w + v = -4. Solve -w*g - 3*g + 5*c + 15 = 0, 2*g = -5*c - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1159768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 21. Let g(l) = 1. Give -f(a) - 3*g(a).\nAnswer: -2*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 22*v**2 - 25*v - 73. What is z(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292242723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -4*n**2 - 3005. Let f(j) = -2*j**2 - 41*j. What is v(f(p))?\nAnswer: 16*p**2 + 328*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234118460*i**3 - 740200608*i**2 wrt i.\nAnswer: -1404710760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 143548 = 37*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 9*g - 4*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/180 - i**4\/54 + i**3\/18 - 58*i. Factor g(a).\nAnswer: -a*(a - 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 83*p = 81*p, 6*p - 9 = y + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000831787 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 492.372 and 4959.\nAnswer: 5451.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (2 - 1) + 2. Let l(m) = -m**3 + 10*m**2 - 9*m - 7. Is l(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/21 - 83*f**6\/30 + f**3\/3 - 2*f**2 + 5*f + 3. What is the second derivative of h(g) wrt g?\nAnswer: 40*g**3 - 996*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3234 - 3236. Sort i, -4\/3, 1 in ascending order.\nAnswer: i, -4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53525950 divided by 1\nAnswer: 53525950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 3*x - 2*x - 1157*x**3.\nAnswer: -1157*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d + 2 = 0. Let k(v) = v. Let t(r) = 2*r**2 - r + 1. Let a(b) = -14*b**2 + 7*b - 5. Let h(l) = -a(l) - 6*t(l). Calculate d*h(m) - 2*k(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - ((-12)\/9 - 1). Suppose 0 = -3*j + 14 + 4. Find the third derivative of -j*g**5 - g**5 + 0*g**5 + v*g**2 wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -324 + 368. Which is smaller: w or 46?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.3, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31019557601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3448)\/36)\/((-14)\/252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 42*u - 104 = -40*u, -5*v = 5*u - 320. Calculate the remainder when 112 is divided by v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 35, 62*k - 59*k - 7 = -2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 3*c**4 - 2*c**4 + 188*c**4 - 242*c**4 + 200*c**4 + (3*c**3 + 0*c**3 - 5*c**3)*(-1 - c + 1).\nAnswer: 149*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/((-4)\/(-3)))\/(-3). Let c(j) = -233*j**2 - 228*j**2 + 460*j**2 - 1. Let a(h) = -7*h**2 + 2*h - 8. Calculate w*a(k) - 5*c(k).\nAnswer: -2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 16*l**2 - 25*l + 152. Let j be k(15). Suppose 3*f + 12 = 4*d, 0 = 3*f + 5*d - j - 13. Which is smaller: -2\/607 or f?\nAnswer: -2\/607","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + -4 - sqrt(1216)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*p - 1 - 3, -4*p = -2*a - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (119\/91 + 1)\/((-79)\/(-1027))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2\/5, 0.01, -0.6, -2.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.7 + 58. Let u = 2 - 3. What is the closest to u in x, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooknkoooonkonokkn. Give prob of sequence nnnk.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + z + 12*z - 5. Let v(a) = 42*a - 14. Let h(m) = -14*b(m) + 5*v(m). Let g(d) = 1020*d - 2035*d + 1018*d. Calculate h(g(n)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/8 + q**2\/2 - 2*q. Let j(v) be the first derivative of y(v). Let o(r) = -6*r**2. Give j(o(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2725 = 481. Let k = j - 252. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70150561 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 83. Let b = -14 - v. What is the greatest common divisor of b and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 12*u + 0 - 5*u**2 + 0*u**3 + 7\/12*u**4. What is the first derivative of o(i) wrt i?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 149*y + 0*y**2 + 0*y**3 + 0 + 1\/120*y**6 + 1\/48*y**4 - 1\/40*y**5. Find p such that g(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 47906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 618 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*m - 91. Suppose -m = -5*q + 4*i, -2*q - 2*i + 2 - 4 = 0. Factor -2\/5*b**4 + 4\/5*b**q + 0 + 0*b**2 + 0*b.\nAnswer: -2*b**3*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -40*y**2 + 19796*y - 97985. Give s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 211. Let k be d(0). Let g(b) = k + 8*b + 10*b - 215. What is the tens digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.86 + -72.14. Let s = c + 75.7. What is the third biggest value in s, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340 a factor of 254808780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 117290*b**2 - 88*b - 3. Is q(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-70) - (-3356)\/14. Suppose -b + 268 - g = 0. What is the least common multiple of b and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/6, -0.5, -10.6, 20, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 6. Let k(l) = 2*l + 11. Let x(g) = -11*h(g) - 6*k(g). Let v be x(-5). Let d = v - 5. Solve d = w - 5 + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 7. Let h be d(8). Let w be (3\/(-5))\/h*-5. Suppose -2*r - 2*r - 4*g = 0, -r + 12 = -w*g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552623590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 14?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 + 12*i**2 - 17*i**2 + 48*i**2 - 12*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383542 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = b + 5*o, -4*b + 5*o - 61 = -28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1126 - -4347. Let j = l - 35477\/11. What is the common denominator of j and -3 + 3 + (-28)\/12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 7*p + 3*p + 20, j + 20 = 4*p. Suppose -s + n = 3*n - 15, -s + n = j. Sort s, 3\/2, 1\/7.\nAnswer: 1\/7, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 248. Let q be c(28). Find n, given that -4*n**2 + q*n + 30*n + n**2 - 99 - 96*n = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*j - 41, 10724*j = 4*x + 10722*j + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 405927209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11590565\nAnswer: -4\/11590565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9473, 12452, 15431, 18410?\nAnswer: 21389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001826704079 rounded to 6 dps?\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppippipppp. Give prob of picking 2 i and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176201 or -176234?\nAnswer: -176234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 27*k + 167. Let g be w(-8). Let f be 3\/(2\/(-10)*1). Let o = g + f. Solve -5*j - 12 - 13 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 4*z**2 - 2*z - 4. Let g be r(3). Let w be g\/2 + 27\/6. Let d = 2 + 2. Solve d*a = x + a - 17, -w*x = 5*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 4:11 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzcccaczzxcaf. What is prob of picking 1 c and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynynyyyyyyyyy. What is prob of sequence ny?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.7 * 0.5.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -110, -234, -408?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228378292?\nAnswer: 2, 3, 7, 17, 19, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-5)\/(35\/2). What is the second biggest value in l, -5, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 3, 0.415, 1, 2\/3, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17913113 + -0.1792. What is x rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -32*n + 4158. Let z = 187 - n. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1027 + -1037.06. Round f to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-118 - 118 + 242 - 9*d**2)*(32 + 7 - 9) to the form r*d**2 + q*d + k and give k.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2218888 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -3)*(-1)\/1. Let u = c + 9. Suppose 7*t - u*t = v + 20, -t + 18 = -3*v. Let p(y) = -y + 1. Let n(o) = -2*o + 1. Give v*p(f) + 3*n(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(27) + sqrt(96)\/sqrt(2))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -310\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z**28*z)\/z*z\/(z\/((z**(-9\/7)\/z)\/z)*z)*z assuming z is positive.\nAnswer: z**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*r**2 - 7789*r**2 + 1949*r**2 + 1942*r**2 + 5*r + 1952*r**2.\nAnswer: -r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19658245 to the nearest integer?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 3*z)*(-7*z - 3 + 3) - 10*z + 25*z - 8*z + 3*z**2 - 2*z**2.\nAnswer: 15*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 6*p**2 - 11*p + 14. Let r(a) = 7*a**3 + 12*a**2 + 23*a - 29. Let m(y) = 4*r(y) + 9*t(y). List the prime factors of m(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*z - 52, 156 = a - z + 125. Which is smaller: 27 or a?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 + m**2 + m - 5. Let p be h(0). Solve -3*o - p = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 3*f. Let y(b) = b**2 - b + 1. Let m(i) = -r(i) + 4*y(i). What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/91? (a) 0.126 (b) 0.2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 8) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 1200*u + 69 - 15 - 19 in the form z*u + s and give z.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*v - 618320 = -6*g, -3*v + 247323 = 2*g. Suppose -5*n + h = -g, 4*n + 4*h - 90988 - 7952 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-8\/5)\/w*w))**(-1\/27)*(w\/(w*w*w**(-4\/7)*w*w))\/w**(-4\/11) assuming w is positive.\nAnswer: w**(-22466\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/8)\/(-5))\/((-2)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*((-98)\/147)\/((-4)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*36\/(-384)*((-2)\/(-17) + 1012\/(-2244)). Determine w so that 0 - 9\/4*w + j*w**2 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (5 + (5 - -1 - 6) - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/4)\/((-3)\/(-6)). Solve -3 = -g*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(6\/87 + 3140\/(-3480))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 685, -1\/3, 31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -391ba2 (base 15) in base 12?\nAnswer: -b01608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -67 (c) 0.5 (d) -2\/13 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 20*p - 23. Determine g(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*c - 2*b - 8, -c - 2*b + 4 = 0. Let o(z) = -z**3 - 7*z**2 - 8*z - 10. Suppose 5*l + 6 = -24. Let g be o(l). Solve -c*y + g - 8 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let d(v) = -6*v + 3. Let x(h) = 1. Let o(q) = -6. Let c(a) = o(a) + 5*x(a). Let f(k) = -3*c(k) - d(k). Give f(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12485865*t**3 + 119*t**2 + 50966*t.\nAnswer: 74915190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 6*y - 1. Determine d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*x - 1861 = 0, 3*x - 3743 = -2*i + 2*x. Suppose -29*u = -39*u + i. What is the greatest common divisor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/((-61600)\/12))\/(3\/5).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -8, -14, -36, -80?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 5*s - 3*w, 3*w = -2*w - 20. Let t = s - -41. Suppose -1 = -d + 1. Solve -y - t = -d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-658))\/((-70)\/(-658)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001010011011 (base 2) to base 8.\nAnswer: 41233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 6 = 0. Suppose -3*h - n*h + 175 = 0. Let b be (6\/(-4))\/(h\/10). Is 1 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 23 - 45 - 23*w to the form l + d*w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 57*m - 399600. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - q**2 - 3*q**2)*(2*q + 0*q + 2*q) + q**3 + q**3 + q**3 + 2*q**3 - 4*q**3 + 0*q**3 + (5*q + 2*q - 5*q)*(-2 + 2 + 2*q**2) + 5 - 3*q**3 + 0 - 2.\nAnswer: -14*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 37 + 23 = 2*f, 2*j = -3*f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 121?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 4*y. Let s(w) = 5*w**2 + 3*w. Let m(i) = -3*h(i) + 4*s(i). Let v(u) = -6*u + 3*u + 6*u. What is v(m(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-2\/3))**8)**(-2\/37) assuming a is positive.\nAnswer: a**(-128\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - -57?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:24 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -763\/5 - -764\/5. Factor -2\/5 + m*r**3 - 1\/5*r + 2\/5*r**2.\nAnswer: (r - 1)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 15\/(-8))\/((-1250)\/12000)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v - 1704. What is i(78)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 - -122. Let f(d) be the first derivative of 0*d**2 + 0*d**4 + 0*d**5 + 1\/3*d**3 + 1\/2*d**6 + 0*d - o. What is the third derivative of f(j) wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 3, w: 8}. What is prob of sequence uduw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*u**3 - 83*u - 27541 wrt u.\nAnswer: -144*u**2 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2836199 and -0.5?\nAnswer: 1.7836199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.9649 - -39. Round s to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from kkkttttxkttfkwottt?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Let y(x) = 105*x - 300. Let g(v) = 8*v - 23. Let k(m) = 40*g(m) - 3*y(m). Let w be k(5). Let c(d) = w - 5*d**2 + 2 - 7. What is q(c(r))?\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68376 and 7202272.\nAnswer: 21606816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let t be 1 + (-3 - -1 - -3). Suppose 0 = -t*h + 2*p + 8, 0*p - 10 = -4*h - 2*p. Which is the smallest value? (a) x (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {u: 2, p: 2, t: 4, x: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/29)))\/u)**(14\/11) assuming u is positive.\nAnswer: u**(-434\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 12*z - 17*z - 25, -2*z + 4 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*4.62\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 27229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 3*r = 234, 4*s - 18*s + 67 = -6*s - 3*s + 4*r for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 + 132*y - 128 = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 16 - 1 - 112*s - 6 in the form c + f*s and give f.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x - 1254. Let n(m) = 6*m - 456. Let d(j) = 11*n(j) - 4*z(j). Let v(f) = -4178*f. Give v(d(q)).\nAnswer: 8356*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - v + 0*v = 3196, -3*v = 4*r - 4283. Let k = r - 14835\/14. Find the common denominator of (1\/(-12))\/((-1)\/(-298)) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.3. Let k = -0.0872 - 0.0128. Put 2\/3, 4, k, r in ascending order.\nAnswer: r, k, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -40209?\nAnswer: -12062.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 3*v**4 - 2*v + v**2 - 5*v**2 + 2*v**3 + v**4 in the form d*v + f*v**2 + q*v**3 + w + u*v**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w - 3 + 15*w + 49*w + 26*w + 14*w.\nAnswer: 119*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 4*j**2 + 4 - 1 + 7*j**2 to the form l + c*j + r*j**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5 + (sqrt(39)*-2)\/sqrt(3) - sqrt(91)\/(-1*2*sqrt(7))))*3.\nAnswer: -9*sqrt(13)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 22*o**2 - 39*o + 763. Calculate d(22).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 12. Suppose 0 = -2*g - 5*r - 7, 0 = 2*g - 3*g - 2*r - z. Suppose -3*x + 92 = -g*j, 0 = -5*j - 26 + 1. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - 2 - -1 - (-3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1222 + 145419\/119. What is the common denominator of -52\/77 and w?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 2*m = -96, 5*m + 96 = 3*n. Calculate the remainder when n is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.5, -1\/9, -2, 10.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 4*t + 1. Let f be h(-3). Suppose f*z - 2*z - 80 = 0. Suppose 2*v + z = 3*p, 4*p - p = -3*v + 60. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 2*p**3 - 2*p**3 + (-p + p - 2*p)*(-13*p + 13*p + p**2) + 628 - 354*p**3 + 17*p**3 - 273*p**3 - 628.\nAnswer: -611*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -5*w. Let q(b) = -2*b - 12. Let y be q(-8). Let d be y\/(-10) + (-46)\/(-115). Put d, -5, w in descending order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 7*w**2 - 4*w - 6. Let v be h(9). Let l = 775 - v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 108*f + 3070. What is a(63)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35225*s**3*t**3 - 2*s**2*t**3 - 2*s*t**3 + 2*s + 23512*t**3 - 4*t wrt s?\nAnswer: 211350*s*t**3 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1245*n**2 + 3158575*n - 25370.\nAnswer: -5*(n - 2537)*(249*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45904139.\nAnswer: 2269, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 53*a**2 - a + 6. Let g be m(3). List the prime factors of g + (0 - (-25)\/(-5)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:34 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.2 < -2006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 at most 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -22. Suppose -4*w - 3*g - 6 = 0, -10 = -2*w + p*g - g. Suppose -2*h - 2*a + 2 + 8 = 0, 4*h + 2*a - 16 = w. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-318 - 23*r + 318)*(-7*r - 9*r + 0*r) in the form u + l*r + p*r**2 and give p.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(0 - (-20)\/12). Let z be ((-2)\/l)\/(8\/(-50)). Sort 2\/17, z, -0.1.\nAnswer: z, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1831620 and 418656?\nAnswer: 14652960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4978 times 0.0544?\nAnswer: -0.02708032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 338 + -334. Let h(z) be the second derivative of 0 - 5*z + 1\/3*z**2 + 1\/18*z**g + 2\/9*z**3. Find o, given that h(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10.5. Which is the closest to 1\/2? (a) 2 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/5 + 112*h**3\/5 - 2272*h**2\/5 + 3072*h\/5 + 55296\/5 = 0 for h.\nAnswer: -72, -4, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let s(x) = -x**2 - 7*x + 6. Let o(k) = 6*c(k) + s(k). Let q be -2 + 2\/(18\/45). Let i(g) = -g + 0*g - 2*g**2 - 1 + 0*g. What is q*o(p) - i(p)?\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-4)*v\/(v\/(v**9*v))*v)\/((v*v**(2\/5))\/v)**(-19) assuming v is positive.\nAnswer: v**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 9. Suppose 2*u = -5*q + 19, 2*u + 3*u + 3*q = 19. Let w be (-6 + 6)*(0 - (u - 1)). Determine j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161787515 to the nearest integer?\nAnswer: 12720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209954401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-36))\/(34*(-1)\/(-16)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-7 + 4 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*l**3*o**2 + b*l**3 + 13*b*l**2 + 4*b*l + 2*l**3*o - 3*l**2*o**2 wrt o.\nAnswer: 8*b*l**3*o + 2*l**3 - 6*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 25*r - 44 = 34*r. Solve 7*z - 6*z + 20 = r*a, 3*a + 4*z + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13790 and 490?\nAnswer: 96530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23c56 (base 13) to base 14\nAnswer: -19dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ff8 - -5?\nAnswer: 1ffd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27701606 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 5*s + 11. Let t be j(11). Suppose -5*p = 3*u - t, -3*u + p = -58 - 13. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n**2 - 3*n + 2. Let z be p(-2). Let t be (-10)\/z + 2\/(-8). Suppose -4*h + 2*w = -22, 9*w + 20 = 3*h + 4*w. Solve t + 4 = h*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/36 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6006 and 814?\nAnswer: 222222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 - 5.3. Let v = f - 0. Let n = 2.500002 + v. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:01 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/8565430 and -99\/1282250.\nAnswer: 214135750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*q = -135*q + 240 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 - 1. Let z(i) = -i - 2. Let p be z(-4). Suppose -a + 3*a - 18 = -4*x, -2*a = -6. Let t be 6 - ((x - p) + 0). Determine b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13960*b**6 + 19*b**5 - 5581*b**2 + 17*b?\nAnswer: 1675200*b**3 + 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from djddddojj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.13 + -4780649400.\nAnswer: -4780649363.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12313312111 (base 4) to base 11.\nAnswer: -1020648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -1023846?\nAnswer: -81907.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433550566 - -288704441. Let l = -144846143.99999885 - i. Let g = l - -19. Round g to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2896 and -47\/229381?\nAnswer: 664287376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.3, -2\/15 in descending order.\nAnswer: 0.3, 0.04, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86984, 90391, 93798, 97205, 100612, 104019?\n\"Answer: 3407*k + 83577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19414316501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -32*i + 101 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4634 is divided by 211?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (160\/(-24) + 7)\/((-1)\/9). Let v = -0.8 + -0.2. Let o = -3.1 - -3. Which is the closest to o? (a) 3 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -20\/3*j**3 + 8*j + 7 + 6*j**2. Solve w(i) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4065 less than -91517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6*f - 62. Let d = 756 + -699. Calculate the remainder when d is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = 2*l, 3*l - 2*l = -2*a - 6. Let k(f) = -f**2 + 5*f. Let m be k(4). Let t be (10\/m)\/((-1)\/(-2)). Solve l*p - t*p - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193022\/183 = 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -15. Let l = 10 - x. Let i = -0.555 + 4.555. Which is the nearest to l? (a) i (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcaoaoaoaoaaaoafo. What is prob of sequence aha?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7881680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 1. Suppose 4*z - 7*z - 15 = x, -3*x + 4*z + 20 = 0. Determine m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 6965 = -15*v. Let h = v - -2062. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2438.3 - 2432.3. Let j = -22 - -152\/7. Which is the closest to -2? (a) -0.4 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/17)*d)\/(d**(-8)*d))\/(((d\/(d**(-1\/2)\/d))\/d)\/d*d*d*d*d)**(-43)*((d*d**(-1)*d)**(2\/51))**10 assuming d is positive.\nAnswer: d**(20683\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - -8. Let d = m - 50. Let y = -2.4 - d. Round y to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2759 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 + 68*g**3\/9 - 746*g**2\/9 + 952*g\/3 - 392.\nAnswer: -2*(g - 14)**2*(g - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 55 - 125 + 3*j**2 - 4*j - 143.\nAnswer: 3*j**2 - 4*j - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + t**2 - t**3 + (-4 + 4 - 2*t)*(-4 - 2*t**2 + 4) + 2*t**2 + 2*t**3 - 2*t**2 + (-18*t + 4*t**2 + 18*t)*(-t + 3*t - t).\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5 + y**4 + y + y**2 - 3 - 1 + 10. Let c(d) = 3*d**4 + 10*d**2 + 7*d + 7. Let p(f) = -6*c(f) + 42*o(f). What is the third derivative of p(n) wrt n?\nAnswer: 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -2179024286\nAnswer: -2179024285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23734, 21436, 19136, 16834, 14530, 12224?\nAnswer: 9916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 827902, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362532.3 litres to millilitres.\nAnswer: 362532300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -57?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**4\/24 + z**2. Let g(i) = -2*i - 1. Let j(v) = 11*v + 5. Let a(y) = -10*g(y) - 2*j(y). Determine h(a(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q = -47*q - 518. Calculate the smallest common multiple of 5 and q.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x**2 + 24*x - 16. Let k be m(-2). Which is the smallest value? (a) -6 (b) k (c) 6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 2*m**2 - 1 + m**2. Let s be g(-1). Suppose 3*c - 4*w = 84, -4*w = s*c - 82 - 58. Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3899787\/68 + -57351. Find the common denominator of s and -29\/28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15336 and 180624.\nAnswer: 1625616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 20*d - 25. What is n(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -80. Let h be ((-45)\/(-45))\/(1\/(8\/2)). What is the remainder when -4 - (-1)\/((-163)\/41 + h) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*b + 1, -q - 25 = -5*b + 2*q. Let i(l) = -31*l + b*l + 5*l + 11*l. Let f(h) = -3*h. Determine i(f(u)).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 91. Let r = 75 + t. Suppose 4*o = 4, -5*o - r = 4*p + 1. Sort -3, 5, 2, p in descending order.\nAnswer: 5, 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37267, -74535, -111811, -149095?\nAnswer: -186387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8894 or 7\/17?\nAnswer: -0.8894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f + 338*f - 558*f to i*f + c and give i.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, y: 1, c: 1, u: 2, m: 1}. What is prob of sequence em?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 3*r - 6*r + (r + r - r)*(-1 - 2 + 2) + 0*r + r - 2*r + r + r - 4*r + (r + 2*r - 5*r)*(-4 + 2 + 5).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 66 = -6*h. Let d = 28 - h. Is (d\/28)\/(5\/1855) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50923101 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwusouu. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((641 + 79 + 0)*(g - 3*g + g) - 4*g + 5*g + g + (1 + 1 + 0)*(0*g + 3*g - 2*g) + 2*g + 3*g - 3*g + 0*g + 0*g + 2*g)*(4*g - 3*g + 0*g).\nAnswer: -712*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12318*h + 86212. Give m(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*q**2 - 1321*q**2 + 497*q**2 + 5.\nAnswer: 6*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((-202)\/(-10) - 1\/5). Suppose -4*c + m = -4*z, -c = -z + 2*c + 3. What is the tens digit of 3\/(z\/(-168)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -9 (c) 33\/5 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 611641017 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 831698 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 - y**4\/12 - y**2. Let o be l(1). Let k(a) = 4*a**3 - a. Let x be k(o). Sort x, 4, 5.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.16 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(1736396\/34026 - 51).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18224 - 53842\/3. Let u = -255 + m. Calculate the common denominator of 67\/36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42062*b + 42036*b + 286 = 0. Sort 1, -5, -1, b, -26 in descending order.\nAnswer: b, 1, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.494013ml?\nAnswer: 0.000494013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45826 - 45838.2944. What is b rounded to one dp?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0464 and 11.\nAnswer: 0.5104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0 (b) 2456 (c) 132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -88893.8, 1\/4, -4\/5, -11\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 10510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 2*k**2 - 2*k + 1. Suppose 5*i = 6 - 1. Let y be n(i). Let c be (-3)\/y*84\/(-7). Calculate the highest common divisor of 81 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p + 2 - 2 - 2*p**3 + 39*p as d*p + k*p**2 + s + t*p**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-2)*(-230)\/(-3). Suppose 60 + x = 5*v. Let d(s) = -4*s - 7. Let u be d(-5). What is the greatest common factor of u and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/25, 46, 3\/5 in ascending order.\nAnswer: -3\/25, 3\/5, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248101?\nAnswer: 3, 223, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a82 - 1a8?\nAnswer: -106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/1200*40*28*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2466354 (base 7) to base 12.\nAnswer: -134860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {y: 3, i: 3, a: 4, d: 1, r: 2, p: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4793 - 0.0119. Round y to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 - (-3)\/6*4. Suppose -g*w + 25*w = 0. Factor -2\/5*o**2 + 2\/5*o + w.\nAnswer: -2*o*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - (0 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6465 - -204. What is the greatest common divisor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 7*l - 2*y = 9, 4*y = l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13664411357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -273. What is the remainder when d is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/7))\/u**(1\/3)*u**(5\/2)\/u**(-4))\/((u\/u**0)**(-34)*u**(2\/5)*(u**0\/u)\/u*u*u) assuming u is positive.\nAnswer: u**(8711\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2 in descending order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84501 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 21 - 10*x + 3*x**2 - 4\/3*x**3. What is the derivative of h(a) wrt a?\nAnswer: -8*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + ((sqrt(300) + 0)*-2 + (-2 + 0 + sqrt(300) - sqrt(300)))**2 + 4).\nAnswer: -1205 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 9450 + 9475 = w, w - 2*b + 3 - 7 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o. Let q(w) = 5*w**2 + 4*w. Let d(c) = -4*c**2 - 3*c. Let i(g) = 4*d(g) + 3*q(g). Give i(y(u)).\nAnswer: -121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 + 4*p**2 - 1\/6*p**3 - 7\/6*p**4 + 0*p. Is x(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + 47. What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -30. Suppose -f + 72 = 3*r - u, 4*f = 2*r - 44. Let p = r - 15. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32170, 129922, 292842, 520930?\n\"Answer: 32584*k**2 - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, 0, 401, -6 in descending order.\nAnswer: 401, 15, 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 - 12 = -12*a. What is the common denominator of (a\/(-8))\/((-15)\/9) and (-5)\/10 + (-7)\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.19 - -35.19. What is the nearest to -1.3 in -5, -21, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -29. Let b = k + -8. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/60 + g**4\/24 + g**3\/3 - 2*g**2. Let a be t(2). Solve 3*c = -3*r - 2*c - a, 5*c + 20 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -1221, -1829, -2439, -3051, -3665, -4281?\nAnswer: -4899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**2 - 115*k - 37. Let p be a(-10). Solve n - p = 3*z, z = -3*n + 28 - 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -27*w - 3. Let v be t(2). Let x = 514\/9 + v. What is the fourth biggest value in 2, -5, x, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3408, -13713, -30912, -55011, -86016?\n\"Answer: -n**3 - 3441*n**2 + 25*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 31*t + 2. Let g(a) = -31*a - 1. Let k(q) = 3*c(q) + 2*g(q). Let y be k(2). What is the greatest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229.15 + 230.05. Sort 2\/5, d, 16, -5\/2 in increasing order.\nAnswer: -5\/2, 2\/5, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:49 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/60 + o**4\/12 + o**3\/6 - o**2 + 5*o. Calculate w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -837\/2 or -420?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/11)*(q\/(q\/q**(1\/23))*q)\/q assuming q is positive.\nAnswer: q**(-12\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383769165 to the nearest integer?\nAnswer: 19590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*k - 171*k - 160*k - 20*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose 4*l - 2*q - 8 = a, 0*l - l - 1 = -2*q. Suppose 0 = -2*r - l*r + 310. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, y: 3}. What is prob of sequence mm?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let o(d) = -5*d - 1. Determine o(r) - 3*s(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(200)*2 + -3)**2 - (-3 + 1*sqrt(200))*5*5.\nAnswer: 2630*sqrt(2) + 76929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 99. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1027 and -50\/711?\nAnswer: 9243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*h - 269, 0*k + 3*h - 553 = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22367, -176702, -595577, -1411250, -2755979, -4762022, -7561637, -11287082?\nAnswer: -16070615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewh when three letters picked without replacement from whe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**2 + 0*n**4 - 1\/60*n**6 + 0*n + 0 + 0*n**5 + 1\/3*n**3. Differentiate a(r) with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -4, 1 in decreasing order.\nAnswer: 1, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2757)\/(-12285) + -1 + 147600\/191880\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-84)\/4)\/(20\/(-940))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397.62 - 397.09346. Round a to 3 decimal places.\nAnswer: 0.527","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -56*v + 37 + 319 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -41 - 60) + -15 - -130\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 = 105*o + 5*o + 114*o + 8427 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/21)*t*t*((t*t\/(t**(-16)*t)*t)\/t)\/t)\/(t*t**(3\/4))**(-8))**(-2\/5) assuming t is positive.\nAnswer: t**(-1342\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11647*d**3*h*u**3 + 2545*d**3*h*u + 1113*d**3*u**3 - 18*d**3*u + 2*d*u + 197*u**3 wrt h.\nAnswer: 11647*d**3*u**3 + 2545*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1392531, -1392487, -1392417, -1392309, -1392151, -1391931?\n\"Answer: 2*n**3 + n**2 + 27*n - 1392561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(25)\/sqrt(5) + (-2 + -2*sqrt(5))**2 - (5 + (sqrt(4500) - (sqrt(4500) + 0)))**2.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339956 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 8. Let o be g(-6). Let h be o\/(-4)*0\/1. Suppose h = 3*w - 36 - 27. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*f + 26*f + 48*f**4 - 2*f**4 + 0*f**2 + 0*f**2 + (5 + 0 - 3)*(-2 + 2 + 2*f**4))*(-8*f - 14*f + 27*f).\nAnswer: 250*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6 + 42\/196?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let a(v) = 17565288*v + 576. Let i be a(-2). What is i rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q. Let d be z(8). Let s be (-2)\/4 - 42\/(-12). Suppose s*o + 30 = 96. What is the highest common divisor of d and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**3*q)*q*q**(2\/11)\/q*q*q)**26 assuming q is positive.\nAnswer: q**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12299161 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -348015492990259 and -0.3.\nAnswer: -348015492990259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13670601*o**4 - 11961482*o.\nAnswer: -164047212*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.5 rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)*m**(-8)*(m**(-2))**0 assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -289\/4278? (a) -16 (b) -1\/9 (c) 0 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 3*g. Let y(r) be the second derivative of 10*r + 0 + 1\/6*r**3 + 0*r**2. Let z(s) = -2*k(s) + 6*y(s). Let i(v) = -6*v. Give i(z(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -121, -1082, -3381, -7570?\nAnswer: -14201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24142?\nAnswer: 2, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3068 - -3065. What is the nearest to -19 in 0.3, r, -41?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/40 and 846\/(-126) - (-1)\/(4 + -3)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 75319012*o\/3 + 50212676.\nAnswer: -(o - 75319014)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Let i = -17 - -15. What is the second biggest value in -0.1, r, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 5*k**3\/9 + k**2\/6 - 17*k - 4. Let m(p) be the first derivative of w(p). Factor m(g).\nAnswer: (g - 1)*(9*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247532852 divided by -21182?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/36*a**4 + 0 - 1\/3*a**2 + 4*a + 1\/6*a**3. Factor t(u).\nAnswer: -(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 22 = -3*o, -w - 3*o = 3*w - 17. Suppose w*k + 3*d - 310 = 0, 4*k + 0*d - 248 = -d. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 68412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 142*b - 1358. What is u(10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -194650870 and 79184.\nAnswer: -194571686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/255702050 and 137\/1626.\nAnswer: 767106150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2770\/11 + -252. Let v be 4 - (1 + 1430\/481). Is a at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12417?\nAnswer: 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + (6 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -8*d + 123 + 391. What is the greatest common factor of d and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(1\/4)\/l))**(-3))**(-7) assuming l is positive.\nAnswer: l**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 110 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + c - 2 = 0, -10 = -5*l + 9*c - 14*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Let s = 6 + -10. What is the biggest value in -5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16545, 16544, 16543, 16542?\n\"Answer: -c + 16546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 + -290. Let u(b) = b**3 - 8*b**2 + 3*b + 8. Determine u(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: acb (base 15) to base 12\nAnswer: 14b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 98. What is d(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -20*q + 56. Suppose -36 = 10*y - 13*y. Calculate the smallest common multiple of q and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41212 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:39 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 851 divided by -4\nAnswer: -851\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1199)\/44 - -22) + 1\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -136 - -136 - (18 - 16 - (-36 + 1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = -32. Let m(k) = -k**3 + 8*k**2 - k + 8. Let h be m(r). Let c = 2 - h. What is the second smallest value in -7, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 7*b**2 + 11 + 13 - 25. Let y(l) be the second derivative of -l**4\/4 + 4*l**3\/3 + 6*l**2 - l. Let s(x) = -y(x) + 4*z(x). Factor s(i).\nAnswer: -(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307398 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252 (base 7) to base 2.\nAnswer: 111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 106. Let u be 1\/(-3) - (1903\/3)\/l. Let s = u - -75. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 3*t**2 + 0*t**2)*(0 + 2 - 1 + 17*t)*(1 - 8 - 8)*(0 - 3 + 0) to y + s*t + x*t**2 + v*t**3 and give v.\nAnswer: 2295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 73. Let r(c) = 11*c - 160. Let u be r(14). Let j = u - b. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 - 0.03. Let v = -0.17 + m. Let i = v - 0.03. Which is bigger: i or -4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5004452 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 3334*u + 2419516. Determine k(-613).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -9*u**5\/20 + u**4\/2 + u**3\/2 + 37*u. Determine a so that n(a) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - -2)*(-4)\/6. Let g be 639\/6*h\/(-9). Which is smaller: g or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j**3 - 42*j**3 - 77*j**3.\nAnswer: -165*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let c(n) = -n**2 - 1. Calculate 2*c(d) + 2*o(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1284 - 57.8716. Let r = 163518240.9999592 - 163518183. Let v = z + r. What is v rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180828307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -119 - 11 - (66 + -140 - -82)\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**22*d**(-6\/7)\/(d*d**(-1\/4)) assuming d is positive.\nAnswer: d**(-661\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/22*(-78)\/(-507)*273\/42\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y + 23\/15*y**6 + 0*y**5 + 1 - 3\/2*y**2 + 0*y**3 - 7\/4*y**4. What is the third derivative of d(s) wrt s?\nAnswer: 1104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 + 7044*c**2\/7 + 168300*c\/7 - 1263600\/7.\nAnswer: (c - 6)*(c + 30)*(c + 7020)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - b**2 - 4*b**2)*(-1 - 5 + 4) - 30*b**2 - 146 + 146 + 5*b - 5*b + 3*b**2 + (-1 + 2*b + 1)*(0*b - 3*b + 5*b).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 2*101. Suppose 540 = 28*b - 2852 - 360. Calculate the greatest common divisor of l and b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-24 + 27 + -4) - (0 + -36).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/15 + 398*d**3 + 5864222*d**2\/15 + 126708154*d + 2603810440\/3 = 0. What is d?\nAnswer: -1115, -748, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**(-9\/14) assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-204)*(-4)\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 904*b**3 - 12910*b**2 + 87400*b = 0.\nAnswer: -437, -20, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + v = -0*v + 319, 2*a - 5*v - 187 = 0. Let b = -44 + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393, -892, -1391, -1890?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 71. Let r = -2 - -4. Solve r = -f + s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*6\/3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (-1*(sqrt(325)*-2*-6 + (sqrt(325) + -2)*-6))**2).\nAnswer: -11843 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {i: 2, o: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 10*g = 50. Suppose 20*j - g = 15*j. Sort j, 4, -3, -4 in decreasing order.\nAnswer: j, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4 = -4*l, 4*l - 28 = 2*q - 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173424568 to the power of 1\/2, to the nearest integer?\nAnswer: 13169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkm when four letters picked without replacement from mmkmmmkkmkm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 1. Let t(g) = -5*g + 45. Let d(x) = t(x) - 4*v(x). What is the units digit of d(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let m = -0.1 + 0.1. Let j = 1.5 + -1.3. Let r = m - j. Which is the biggest value? (a) 4\/3 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2212011 (base 3) to base 14\nAnswer: -a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 2*m**2 + m - 1. Suppose 0 + 30 = -6*u. Let r be (u + -1)\/12 + 5\/2. Calculate c(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1940.95 + 1941. Which is the second smallest value? (a) -2\/11 (b) -0.5 (c) -0.06 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44186947 to the power of 1\/2, to the nearest integer?\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*l + 1209 = -1449 + 310 + 73 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((540\/(-18))\/90)\/((420\/98)\/(-15)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 5 - 6 + m. Let t = 1 + 0. Calculate the least common multiple of 5 and w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbp when three letters picked without replacement from {p: 1, m: 2, n: 10, r: 2, e: 1, b: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 - 111327835*p**2 - 3098471655782888*p + 3098471767110724 = 0. Calculate p.\nAnswer: -55663918, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-6)*(-16)\/20. Suppose 0 = -w*y - y + 4*x + 264, -3*x + 411 = 5*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491768507 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let k(n) = n**2 + n + 1. Let v(d) = 3 + 5*d + 11*d**2 + 2 - 5*d**2. Give o*k(i) - v(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16664 is divided by 4100?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 6*b**2 - 5*b - 10. Let s be f(-7). Let i = s - -44. What is the remainder when i is divided by (-6)\/(-7) - -5 - (-1)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 bigger than 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m**2 - 3*m. Let b be d(-2). Let h be -3 - 1\/(b\/119289). Let p = -2835 + h. Calculate the common denominator of p and -121\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4717 (base 10) to base 14\nAnswer: -1a0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -20*m**3 + 11*m**2 + 11*m - 5. Let p(h) = -7*h**3 + 4*h**2 + 4*h - 2. Let d(n) = -n**2 + 5*n + 7. Let f be d(4). Determine f*p(y) - 4*z(y).\nAnswer: 3*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 476946\/13 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 30. What is the smallest common multiple of 7 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 24. Solve 3*j = -k + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 76*d. Let n(j) = -j**3 + 56*j**2 + 62*j - 268. Let l be n(57). Let g(b) = -25*b. Give l*g(w) + 6*t(w).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + -89?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5921*a + 10024 - 10021 - 1980*a to n*a + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -40146022?\nAnswer: 40146012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187 < 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 = 3*b, -3*r - 367*b + 365*b = 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -21. Let v = 8.9 + x. What is the third smallest value in -1\/4, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45356 and 19792964.\nAnswer: 455238172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(55)\/sqrt(5)*-1)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 0.2 (c) -277\/4 (d) -2\/3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 1. Let i(d) = -5155 - 5152 + 15458 + 20*d - 5154. Suppose 4*u + w = -3*w - 24, 5*w - 26 = 2*u. Give u*o(v) + 3*i(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 4*o + 13, -2*o - 6 = 2*b. Suppose o = 11*g - 6*g - 35. Suppose -5*u - 2 = -y - 9, -u + 3*y - g = 0. Solve -u*t = t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 40 = p. Let y = -10 - p. Suppose y = -5*n + 13 + 52. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 6. Give u(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004712032 rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 7*z**2 - 1510*z + 8391. Calculate a(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/36 and (-889)\/(-420) + (-4)\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4404 - -4418. Let j be 1\/(-3) + (-633)\/(-9). What is the highest common divisor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20766210.\nAnswer: 2, 3, 5, 631, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4938, -5.167, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**7\/c)*c**(4\/5)\/c)\/((c**0*c)\/c**(3\/13)) assuming c is positive.\nAnswer: c**(-388\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 - 18*g**4 - 917*g**3 + 5171*g**2 + 2*g + 3?\nAnswer: -120*g**2 - 432*g - 5502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120394360819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-15) + (-38)\/(-114)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-126)\/(-28)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573666 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23062*t**2 - 10 + 5*t**3 - 4*t**3 + 23082*t**2 + 53 wrt t?\nAnswer: 3*t**2 + 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*2\/(-24)*-4. Let y = -0.01 + 0. Let g = y - 0.39. Which is the nearest to s? (a) -2 (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 + 365. Solve 6 = 2*o, 0 = -5*a + w*a + o - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**3 + 2*y**2 - y. Let q be v(1). Let x = q - 14. Let u be -3 + x\/((-1)\/(-2)). Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 78\/25, -0.1, 2\/15, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 337 - 143. Let o = 53 + b. Let d = -6 - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(832))*-5 - (sqrt(1573) + -1 - (sqrt(325) + 4)).\nAnswer: -25 + 114*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3. Suppose 61 = -4*c + 21. Let j be 1*3*c\/10. Let s(u) be the second derivative of u**2\/2 + u. Give j*s(d) - h(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 w, and 1 l when four letters picked without replacement from nnowwalnnnnnuno.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 - 19*g**3 + 47*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -3*n. Suppose n*p - 35 = 30. What are the prime factors of (p\/(-4))\/((-2)\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55599561 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {z: 2, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let k(t) = -14*t + 13*t + 14*t. Determine f(k(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + -1 + -4) - (2 + sqrt(76)*2))*-6 - (5 + sqrt(76) + 0 + (-1 + sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76))*1)*3)**2.\nAnswer: -1080*sqrt(19) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 61179.\nAnswer: -12235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 402 = -5*q, -3*q = 3*l - 258. What is the common denominator of (-71)\/(-2)*(-4 + q\/20) and -61\/34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65074.51 micrograms in grams?\nAnswer: 0.06507451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d = -82307 - 206685. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 75. What is the units digit of w\/6*201\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 7:48 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(7\/3 - 2). Let f be 99 + 2 - (v + -2 + -3). Calculate the greatest common divisor of f and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 4*v**2 + 6*v - 2. Let u be n(-5). Is (u\/(-6))\/((-6)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-3 - -1)*-1. Let r = 4 + q. Suppose 0 = r*t - 4*h - 0*h - 90, -76 = -4*t + 4*h. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*d**3 + 65207*d**2\/3 - 7880108*d + 2250868\/3 = 0. Calculate d.\nAnswer: 2\/21, 419, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**39\/(u**1)**(-19\/5)*(u\/(u\/u**(9\/4))*u**9)**(13\/5) assuming u is positive.\nAnswer: u**(973\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 0.9, 15, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {f: 3, v: 2, q: 7, r: 1, b: 4, e: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9767*n**3 - 635 - 398 - 6429*n**3 wrt n?\nAnswer: 10014*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 92. Let q be (1*2\/4)\/((-3)\/78). What is the lowest common multiple of 23 and y(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - ((-196)\/(-35) + -5). Let i(s) = s**2 - 3. Calculate i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-52))\/(20\/5 - 26\/(-16)). Let p = -0.2 - -0.4. Put -1\/31, v, p in descending order.\nAnswer: p, v, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.9. Let x = 2 - 5. Let k = 0 + 2. What is the nearest to 0.1 in k, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Suppose -16 = -2*w - 3*w + 3*h, 2*h = 4*w - 12. Let p be (w\/4)\/(2\/(-8)). Determine r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 581?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 20 - 32. Suppose -2\/5*n**g + 2*n - 2\/5*n**2 - 6\/5 = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -49.06. What is f rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3, -1\/15, -31, -0.42?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474645, 949403, 1424161, 1898919, 2373677, 2848435?\nAnswer: 3323193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 436*k**2. Let m(x) = 277*x - 566*x + 289*x + 3*x**2. What is m(h(g))?\nAnswer: 570288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 13*m - 6. Is 12 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.53 + 0.34. Let y = k - 0.01. Are 0.1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -0.4. Let z = x - -1. Let t = 3 - 2.7. What is the second biggest value in t, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j + 2*j - 1 - 2*j - 2*j**3. Let r be k(1). Let p(v) = 2*v + 0 - 4 + 1. Determine p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62887261 divided by -62887261.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-20) - (327\/(-480) + 3) and -1\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*-1*(-30)\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from mmqmqov.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -316.55 rounded to zero decimal places?\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-15)*3\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -744*h**2*q*z - 17*h**2*q + h**2 + 12*h*q*z + 29*h*z - 2400 wrt q?\nAnswer: -744*h**2*z - 17*h**2 + 12*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 18. Let g be z(6). Factor 5\/3*p**3 - 2\/3*p**2 + 0 + g*p.\nAnswer: p**2*(5*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3 + 3*z**2 - 2*z**3 - 8*z + 3*z**3 + 3*z. Let r be p(-3). Let j(n) = 5*n**2 - n - 12. Let v be j(5). What is the greatest common divisor of r and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5 + 17. Suppose 12 - 68*x**5 + 205*x + 263*x**q + 520*x**4 + 702*x**3 + 148*x**5 + 8 + 710*x**2 = 0. Calculate x.\nAnswer: -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -8117)\/(-7) + 4. Let f = 1951 - l. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (7 - (-4 - (-3 - 1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631743283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391603 by 1.\nAnswer: -391603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 5 (c) -3\/5 (d) -790\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 49*k - 3045. Determine r(29).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-650))\/((-96)\/(-160)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220418 and 31688.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 6*m - 46. Let l(k) = -3*k**3 + 13*k**2 - 18*k + 150. Let o(q) = 8*b(q) + 3*l(q). Determine o(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 488 = -4*v. Let l = 145 + v. Calculate the least common multiple of 8 and l.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20))\/(70\/(-175))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118248931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2237, -2066, -1827, -1526, -1169, -762, -311?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(363) - (sqrt(363) + 1)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 8.92?\nAnswer: -26.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2958384417 + -0.29584. Round a to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 10*r**2 + 77*r + 6. Calculate the least common multiple of 18 and j(-7).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 24*c + 8 + 117*c**3 - 55*c**3 - 61*c**3 + 11*c**2 - 11*c. Determine v(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17135, -34269, -51403, -68537, -85671?\n\"Answer: -17134*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(26\/(-20) + 1). Suppose 2*j + s = -57, 4*j - 5*s = -2*s - 89. Let h = j - -29. Solve -4*m = -h*t + t - y, -5*t = -2*m + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 3*i + 8. Let k(p) = p**2 - p. Let n(x) = -2*k(x) - z(x). Let d(g) = -g**3 + 2*g**2 + 3*g - 6. Let j be d(3). Calculate n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2*(-1)\/11. Let j = -0.54 - -0.02. Let o = j - -0.42. What is the second biggest value in o, i, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 times -0.5?\nAnswer: -165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 7*h**2 - 5*h**2 - 1 + 1 - 2*h**2 - 2 + (2*h + 11*h + 13*h)*(-h + 5*h - 2*h) + 3*h**2 - 4 + 4 to v*h + d + w*h**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -224*k**2 + 897*k - 9. Let j be d(4). Put 5, -106, j, 1, 18 in decreasing order.\nAnswer: 18, 5, 1, j, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*g**2*p**2*v - 280*g**2*p*v - g**2*v**3 + 103*g*p**2*v + g*p**2 + 2*g*p*v**3 - 20*p wrt g.\nAnswer: 42*p**2*v - 560*p*v - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -3\/8 (c) -1 (d) 9389 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 + m**2 - 2*m + 3. Calculate w(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 8*g + 9. Let z(w) = w**2 - 7*w + 8. Calculate -5*p(y) + 6*z(y).\nAnswer: y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4037.9 - -4038. Sort 2\/11, h, -411 in increasing order.\nAnswer: -411, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 115.5. Let u = k + 32. Let d = -170\/209 - -12\/19. Which is the nearest to u? (a) -0.5 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*b**2 - 100*b**3 - 65*b**2 - 2 - 5*b**3 to the form n*b**2 + j + d*b**3 + u*b and give d.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*1*-5.\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**6\/120 - p**5\/6 - 5*p**4\/12 - 7*p**3\/6 + 2*p**2. Let v = 9 + -18. Let q be z(v). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 1350*q - 56680.\nAnswer: -5*(q - 218)*(q - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 10, -3*x - 4*y = -x - 124. Suppose -3*n = -0*n - x. Solve 4*l = 5*t + 20, -3*t = l + n - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*z - 2198 + 698 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 + 180 - 167 = -10*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21*b + 14*b = 22, -3*v = 2*b + 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/7909 + -22287\/7909. Calculate the common denominator of l and (4 + (-14)\/3)*122\/12.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.8 - -28. Let b = w + -3.2002. Round b to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 1. What is s(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (9 + -1 + 1). Let h = 59854 - 59864. Is h < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 8 - 10. Let q(d) = 2*d + 6. Let f be q(u). Calculate the remainder when 25 is divided by (-56)\/(-6) + f\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -6, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 287, -0.5, 0.4, 7\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/60 - y**4\/8 + y**3\/2 - 991*y**2. Let w(u) = u**2 - 3*u - 3. Let j be w(3). Let l be (j + -1)\/(-1 - -2). Give t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**7\/360 + 3*n**4\/4 + 38*n**2. Let w(k) be the second derivative of c(k). Let z(f) = -f. Calculate w(z(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -32.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -179, 4, -2 in descending order.\nAnswer: 4, 1, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 97. Let p = l + -10.2. What is the nearest to -0.1 in 0.2, p, -0.39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/(-8) + (-153)\/204.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/8)\/((-5)\/40). Let g be (-12)\/18 - (-16)\/u. Suppose a + 9 = g*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 - -125. Suppose -h = 5*u - 26. Let x(s) = -s + 3. Let b(i) = -1. Give u*x(q) - 7*b(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 43478358?\nAnswer: 130435074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 - 9973559*f**3 + 32*f**2 - 104267 wrt f?\nAnswer: 60*f**2 - 59841354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11531843839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12166.42km?\nAnswer: 12166420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d + 0*d)*(-8820 + 16754 - 9216).\nAnswer: 2564*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 - 6*d + 4. Let b be w(-6). Suppose s - b + 6 = 0. What are the prime factors of (-120)\/(-9) + s\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/3 - 47\/15. Factor 1\/5*o**3 + 1\/5*o**4 - 1\/5*o**2 - z*o + 0.\nAnswer: o*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(1 - 1 - 1)*(-76 - 16 - 31)*(-2 + 2 + n).\nAnswer: 123*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + 1?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -877\nAnswer: 24\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1387637 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-665)\/(-35) + (2 + 15)*(-78)\/166\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85374, 341478, 768316, 1365888?\n\"Answer: 85367*l**2 + 3*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139832257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 24934936?\nAnswer: -24934936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 29, 4, -3, 2, -2 in ascending order.\nAnswer: -58, -3, -2, 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - 2. Suppose -k*p + 2 = -6. Calculate the smallest common multiple of 6 and 25\/(-10)*p\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2658292 divided by 16\nAnswer: -664573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1773\/36 + 32*48\/(-6144).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -44 - (-1 - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 0)*9\/4. Suppose 2 = 2*c, -4*c - 2 + 20 = -w. Let t = g + w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1342 (b) 1\/2 (c) 3\/2 (d) -2\/203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(-7*o + 14*o - o) + 134*o + 0*o**2 - 114*o - 1 + 6*o**2.\nAnswer: 12*o**2 + 20*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -46235*f - 28. Let p be m(-4). Suppose 0 = -15*v + p - 1567. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*i = 172*i - 324*p + 1954, -4*i + 4*p = 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4863, 4914, 5005, 5142, 5331?\n\"Answer: x**3 + 14*x**2 + 2*x + 4846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 7*b = -1197. Calculate the highest common factor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2394259.\nAnswer: 7, 342037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 156*z - 441.\nAnswer: -3*(z + 3)*(z + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y**3\/7 - 37567*y**2\/7 - 17746*y\/7 - 2088\/7 = 0 for y.\nAnswer: -1\/4, -2\/9, 1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 21*a**3 + a**2 - a - 1. Let o = 22 - 23. Let y be j(o). What is the units digit of (-3)\/((-30)\/(-4))*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, 1.8, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-2304))\/(2\/(11\/(11\/36)))*-70?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -19, -5 in decreasing order.\nAnswer: 35, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 0.1. Let n = -387 - -1163\/3. What is the third smallest value in n, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7440)\/(-246))\/(-5) - (-140)\/2870)\/(12\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 56, 75, 88, 95, 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 4164 (c) 0.2 (d) 16\/5 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 24 = -24*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 705 + -2819\/4. Which is the nearest to 3? (a) n (b) -1 (c) 2\/9 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910685497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131092017 + -21458.\nAnswer: -131113475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2 + 0*l + 0*l**2 + 1\/3*l**3 - l**4. Find the third derivative of c(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 936 + -939. Let z = 31 + -35. Sort z, x, 3 in increasing order.\nAnswer: z, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2 + 2*k**2 + 0*k**2 + 3*k + 0*k**2. What is the remainder when 21 is divided by x(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 7\/4, -3, -0.06, 4.78 in ascending order.\nAnswer: -3, -1, -0.06, 0, 7\/4, 4.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -98*x**2 - 502*x - 59. Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 5, j: 2}. Give prob of picking 2 s and 1 b.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7)**(11\/2) assuming k is positive.\nAnswer: k**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23)*d*(d*d\/(d**(-3)*d))\/d)\/((d**(4\/17)\/d)\/((d\/((d\/(d*d**(3\/16)*d*d*d))\/d)*d*d)\/d)) assuming d is positive.\nAnswer: d**(69061\/6256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.516 - 6.5. Let j = -0.026 + y. Which is bigger: -0.6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6118, -6112, -6106, -6100?\n\"Answer: 6*s - 6124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*h = -997*h - 7582 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-988.7041.\nAnswer: -2966.1123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 p when four letters picked without replacement from pppmppmmppp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + 4 + sqrt(605))*-2*-5 + 2 + 1.\nAnswer: -37 + 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 + 104*n**2\/7 - 1562*n\/7 - 1664\/7.\nAnswer: 2*(n - 13)*(n + 1)*(n + 64)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1051 - 587. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 11*p**2 - 10*p. Let w be s(10). Is w*(-2)\/8 + 7 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644596 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154496 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2146*h + 4657. Is k(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416309?\nAnswer: 3, 472103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3 + (-32)\/(-8). Suppose 0 = 3*t + u*j - 3*j + 30, 4*t - 4*j + 40 = 0. Let s = t - -48. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 175, 4, 3, -15 in descending order.\nAnswer: 175, 4, 3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1927*k - 125258. Determine w(65).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/3)\/(j*j**(4\/3))*j**(3\/7)\/(j\/(j*j**(3\/5)\/j)) assuming j is positive.\nAnswer: j**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5 + 96*u**4 - 31116*u**3 - 2441338*u**2 + 150730635*u - 148258278 = 0.\nAnswer: -149, 1, 42, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10442196 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(60)\/sqrt(3)*2)\/sqrt(4).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = -2*r - 16, -5*r - 4*f - 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**(-30))**(-4\/15)\/(b**(1\/7)*b**(-7)*b)**(-2\/97) assuming b is positive.\nAnswer: b**(21482\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*b = -4 + 7, 5*n + 2*b = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.657*11.5\nAnswer: -19.0555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 + 430 = -68*k - 52 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*f + 66*f + 12 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23638 - -23742. What is the second smallest value in -6, a, 5\/2, -1\/7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022011 - 0?\nAnswer: -11022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 73524 + 2937 = 2*n. List the prime factors of n.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(176))**2 - sqrt(11))*6 - (sqrt(704) + 2 + 4).\nAnswer: 82*sqrt(11) + 1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49782\/19 + 2620. Which is the nearest to -12? (a) i (b) -2\/7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3198 and 18167.\nAnswer: 58098066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 1, r: 1}. Give prob of picking 1 r and 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8433571, -8, -0.2?\nAnswer: 8433571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6*x = -5*x - 14, 0 = k + 5*x + 26. Sort k, -6, 2\/3 in ascending order.\nAnswer: -6, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 517779 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:07 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2020 and 564590?\nAnswer: 1129180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + 0*l**2 - l**2)*(-2*l + l + 0*l)*(-2 + 1 + 3)*(212 + 248 - 109)*(4*l - 5*l - 3*l) to the form s*l**3 + c*l + y*l**4 + t + h*l**2 and give y.\nAnswer: -2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (468\/(-165))\/(3558\/10035) + 8. Is r at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -6*i - 12. Suppose 8*f - i*f = 5*h + 18, 4*h + 12 = 2*f. Suppose -f*j + 52 = -18. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/733979 or 1?\nAnswer: 2\/733979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27028*k + 27 + 13524*k - 27 + 13515*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 846517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 divided by -176?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -10321241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 8*o - 12. Let q be w(-6). Let b be (41 + q + 0)*-1. Let s = 48 + b. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(68) + 4 + -5 + sqrt(68)*1*4)**2.\nAnswer: 80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -157. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**5 + 4*a**4 + 3*a - 66.\nAnswer: 660*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2973391 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2691\/9 + (-2 - 0). Let m be 12\/x + 4\/22. Let j = 7 + -6. Put -1, j, m in descending order.\nAnswer: j, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 20*w**2 - 106*w + 421. Let b(y) = 7*y**2 - 35*y + 140. Let c(x) = -8*b(x) + 3*z(x). Is c(24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45409 is divided by 5032?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 + (35 - (-10 + 34)) + 2 + -18?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/14 + (-30)\/105. Suppose 0*v - 2*v**5 - 2\/3*v**c + 10\/3*v**4 - 2\/3*v**2 + 0 = 0. Calculate v.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 22*v - 2*y - 18 = 0, 5*v = -4*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -2\/5, 1\/14, 1.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*w + 85, 7*w = -2*x + 2*w + 3*w - 50 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -224*n + 63. Let u(f) = -2*f**2 + 628*f. Calculate c(u(i)).\nAnswer: 448*i**2 - 140672*i + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16851 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: Two letters picked without replacement from {x: 2, b: 3}. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*p**2 - 12*p**2 - 33*p**2 + 40 + (-4 + 22 - 3)*(-3*p**2 + 2*p**2 + 2*p**2) in the form z*p**2 + t*p + u and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084186127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - v**3 + 2*v**3 + 0*v**3 - 1 + 4*v**4 to u*v**4 + d*v**3 + z*v + f + i*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2223*f**5*n**2 - 2*f**5*n + 2*f**2 - 209*f*n**2 - 2*n**2 wrt f.\nAnswer: -133380*f**2*n**2 - 120*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y + 44*y + 64*y.\nAnswer: 162*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -848110 - -537917. Let o be 1 - (3 - 4) - s. Let d = o - 470195. Round d to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.62 (b) -0.2 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 12 + i)*(-264*i - 201*i - 176*i) in the form b*i**2 + n*i + a and give b.\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 + -1 - -6) + 6*1. Put 2, u, 1, -6\/19 in decreasing order.\nAnswer: 2, 1, -6\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwj when three letters picked without replacement from {w: 1, c: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**3 - 37*n**3 + 20*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 472814552 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 2*h + 3. Let l be j(2). Let m = 4 - l. Calculate the remainder when (-69)\/m + (1 - 3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 57.00424. What is b rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -3\/167?\nAnswer: -3\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*v + 5, 36*c - 30 = 31*c - 2*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276673551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 51*v = -333, -3*q + 2152*v + 122 = 2151*v for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44812\/1977)\/(1 - (-5)\/(-3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1916, -1926, -1936, -1946, -1956, -1966?\nAnswer: -1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139251 is divided by 126583.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r - 7. Let p(j) = -1. Give 6*p(h) - w(h).\nAnswer: -15*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 51*r - 44 = 56*r, -5*v - 4*r = 25. Factor -3\/5*n**4 + 0*n + 0 + 3\/5*n**2 + 0*n**v.\nAnswer: -3*n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - 2*b**2 + 4*b. Let r(c) be the first derivative of f(c). Let o(s) = 4*s. Give r(o(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115698 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 - 17097.3?\nAnswer: -17219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4554298 to 4 decimal places.\nAnswer: 0.4554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 90.2. Let q = -72.2 - d. Let z = q - -81.5. Which is the smallest value? (a) z (b) -0.03 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-25)\/10)\/((-18)\/4572) is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10808?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3 + 9*d**2 + 7*d - 2. Let i(z) = z**3 - 3*z**2 - 2*z + 1. Let y(m) = -7*i(m) - 2*s(m). Give y(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15313 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-3) + (-10)\/(-2). Let j be (-2144)\/(-72) - 2\/f*1. Calculate the greatest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) + (-18)\/(-22) - -17. Put 1, 5, g in descending order.\nAnswer: g, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g. Let b(d) = -4*d. Let i = 56 - 21. Suppose -23*r - i = -16*r. What is r*b(o) - 6*x(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 - u + 2. Let n be x(0). Suppose 0 = l + n*l. Let j = 19\/26 + -15\/26. Is l at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyw when three letters picked without replacement from weeeyjnnejjnjj.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 0*x - x)*(-8 - 7 - 17)*(-1 + 0 + 0)*(4 - 4 + x).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917904268?\nAnswer: 2, 157, 1461631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54.93307 millennia?\nAnswer: 549.3307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 6. Let u be s(6). Let w(r) = -7*r + 17. Let i be w(u). Let t(g) = 2*g - 18. Let k be t(i). Solve 5*o - 9 = k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807438333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2 + 57868*g - 867570 = 0.\nAnswer: 15, 28919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 11, -877 in decreasing order.\nAnswer: 11, 6, 5, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*sqrt(152)\/sqrt(4))\/(-1*sqrt(2)*5))**2.\nAnswer: -16*sqrt(19)\/5 + 404\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*q**3 + 36*i**2*q**2*w - 407564534*i**2*q - 10202305*i*q**3*w + i wrt w.\nAnswer: 36*i**2*q**2 - 10202305*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146734210, -146734212, -146734214?\n\"Answer: -2*a - 146734208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.029 take away 36?\nAnswer: -298.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10460.0335 rounded to the nearest 100?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/30 + (-18)\/(90\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:22 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + m + 3*m - 2*m - 2*m + 6*m + (-1 - 2*m + 1)*(4 + 1 - 3) - 3*m + 0*m + m + 2*m + 3*m - 4*m - 2*m - 3*m + 0*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -957\/1687 + -1\/241. Is x at least 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738 divided by 1869?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(15\/(-2))\/(-5). Let m = 14 + g. Let h(c) = 3 - m*c + c + 0*c. Calculate h(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:10 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812166 is divided by 4120.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-246)\/(-7175)*50)\/((-6)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -7 + 3)\/(54\/(-135))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2) - 1*sqrt(135))\/((sqrt(605) - 1*sqrt(605)) + sqrt(125)*5))**2 + 1.\nAnswer: 628\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 1, i: 5, e: 2, z: 1, j: 1}. What is prob of sequence sjz?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 3. Let s be z(4). Let a = 0 - s. What is the units digit of (-21)\/(-4) + a\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -155. What is the remainder when 64 is divided by (-792)\/a - 6\/(-21) - 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3318671 millilitres?\nAnswer: 0.0003318671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/10 of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.88 * -73.7.\nAnswer: -3676.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101100 (base 2) to base 4.\nAnswer: 110230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1345756 divided by 35.\nAnswer: 1345756\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + 226\/8. Let p = 9 + 61. Calculate the greatest common factor of r and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -370*z + 5562. Give x(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30)*3)\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 0 in decreasing order.\nAnswer: 3, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3331, -0.04, -10\/13, -2\/7?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -3*d. Let r = d - -5. Suppose 4*s - 72 = -5*f, -2*s + r*f = -0*f - 10. What is the highest common divisor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 208\/(-39))*(0 + (8 - 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -1, -i = -2*h + 43. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/23 + 1131\/92. What is the common denominator of -37\/712 and i?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -7*f - 36. Solve 2*r = 2 + f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/((-1)\/(-5)). Let n = 0.25 + -17.25. Let d = -12 - n. What is the nearest to -1\/3 in d, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -0.5, 1.5, -1, -2\/1553, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171.4 + -170.9. Sort p, 0.49, 0.03.\nAnswer: 0.03, 0.49, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -85 + 30. Suppose s*b - 5*f = 17215, 2*b + 3451 = 3*b + 3*f. Let i = 75897\/22 - b. Find the common denominator of i and 81\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 62 = 28*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1304*t**3 - 1353*t wrt t?\nAnswer: -7824*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -1\/3, 0.109, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -7*g + 8*g. Suppose 5*j - 73 = -28. Differentiate 4 + j*l**4 - g*l**2 + 50*l**2 with respect to l.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5236\/105875*55*((-225)\/20)\/(-9)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/14 - -67\/7. Let l = 1\/5 - 3\/5. What is the common denominator of p and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65515 + 111228. Suppose -48407 = -13*k + l. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/4 of a litre in millilitres?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**2 - j + 2. Let v be (6 - 18)\/(-4) - 1. Determine x(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1330, 1\/3, 4.\nAnswer: -1330, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-5) - 10\/(-25). Let i(o) = 12*o + 4*o - c + 0. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.7. Let q = -3909 + 3912. What is the third biggest value in q, -7, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a9 - 3?\nAnswer: -9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*g + 17 = 0, -5*n + n = 2*g - 22. What is the closest to 2\/7 in 2\/9, -1\/7, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 9*v**2 + 2*v - 7. Let u be k(9). Let p(x) = -125*x - 24. Let w(l) = -354*l - 70. Let i(c) = -17*p(c) + 6*w(c). Determine i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8573*m + 2728 = -8562*m. Calculate the remainder when m is divided by 102.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w**2 + 1 - w**2 + 4*w - w**3. Suppose 3*k + 20 = -2*k. Let m be (4 - (-3 - -1))\/((-8)\/k). Calculate f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 445 = 5*b - 0*c, 0 = -3*b - 3*c + 249. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*h - 58, -7*c + 3*c = 5*h - 71. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5327 and 221690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 46, 38, 28, 16, 2, -14?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045 is divided by 2043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1065268154.1 - 5\nAnswer: 1065268149.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 657 and 655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 8. Let k be (p\/(-4))\/((-12)\/(-16)). Suppose 2*a + k*a = 112. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 6. Let w(d) = 206*d**2 - 26*d - 13. Let o(z) = -77*z**2 + 10*z + 5. Let l(r) = -13*o(r) - 5*w(r). What is l(k(f))?\nAnswer: -464*f**2 - 1392*f - 1044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.9764*0.334\nAnswer: 0.3261176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24857, 24859, 24863, 24869, 24877, 24887?\nAnswer: 24899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 6*w**2 - 18*w - 10.\nAnswer: 2*(w - 5)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3525 - -3516. Which is the second smallest value? (a) -0.3 (b) 0.3 (c) 2\/9 (d) -4\/5 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 28. Calculate the common denominator of (-290)\/(-12) + (-2)\/(-2) and v - 2*3\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from hhfddhdthlltf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 4. What is p(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 10) + (-1 - (51 + -28)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/(240\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g - 1162 = 294*g - 2*l, 24*g = 29*g + 4*l - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*w**4 - 2*w**3 + 903*w?\nAnswer: 1704*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*m - 499*m = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -0.051.\nAnswer: -1.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22453742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 39. Suppose 2*h - 3*o - 2*o - 21 = 0, 0 = -2*h + 4*o + x. Calculate the remainder when 28 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 45?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942230.\nAnswer: 2, 5, 59, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195\/8 - 24. Let z(c) = -5*c - 4. Let j be z(-4). Let a be ((-1)\/6)\/(4\/j). What is the nearest to a in -0.5, h, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/164785083 or 0?\nAnswer: 1\/164785083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -73.4. Which is the third smallest value? (a) d (b) -3\/20 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 3*h)*(-2 + 2 - 2*h) - h**2 + 2*h**2 - 2*h**2 - 2*h**2 + 5*h**2 - h**2 + 2*h**2 + h**2 + h**2 - 49*h**2 + 56*h**2 - 1 - 3.\nAnswer: 8*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0, -0.2, 0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 13*b**2 + 37*b - 15. Let y be f(-5). Put -4, 46, y in ascending order.\nAnswer: -4, y, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6609734 milligrams in kilograms?\nAnswer: 0.0000006609734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 + 3*o**2 - 2. Let z(q) be the second derivative of q**5\/20 - q**4\/12 + q**2\/2 + 24*q - 6. Calculate -k(u) - 4*z(u).\nAnswer: u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119138.\nAnswer: 2, 7, 37, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + y - 4. Let m(n) = 7*n**2 - 3*n + 65. Give -m(q) - 2*x(q).\nAnswer: -11*q**2 + q - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 82 + (6 - (48 + -1 + 6))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 1. Let w(a) = a**2 + 10*a + 15. Let q be w(-9). Suppose 15 = -5*n - 3*y, 6*y - q = 2*n + 2*y. Let p(o) = -2*o + 1. Determine n*p(f) + 2*v(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o. Let x(c) = -c. Suppose -33 = 4*w - 3*t + 2*t, 0 = -w + 4*t + 3. Let m = w - -3. Let v(j) = 9*j. Let g(u) = m*x(u) - v(u). What is z(g(a))?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/369 + 406\/369. Factor -20\/9*r**2 - 2\/9 - l*r**4 - 2\/9*r**5 - 10\/9*r - 20\/9*r**3.\nAnswer: -2*(r + 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -1 + -11 + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(30\/12)*(2892\/(-24) + 13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3*v**2 - 17*a**3 - a**2*t*v**2 - a**2*t - a**2*v + 8*t*v**2 wrt v.\nAnswer: 10*a**3 - 2*a**2*t + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024215 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 951353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291280 by -10.\nAnswer: -29128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 4*y + 3*y - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -0.2 (c) 16811 (d) 1\/3 (e) 3\/7 (f) -4 (g) 54\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 3.9. Let v = -3.2 + x. Sort -8\/5, v, 0.5 in descending order.\nAnswer: 0.5, v, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*q - 3, 0 = -3*q + 3*n - n + 1. Let l(i) = -i**2. Let x be l(q). Is (x\/2)\/(1\/(-38)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j = -20*j + 528 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(18\/4) + 131 + (-67144)\/327\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(-2 + sqrt(108))*3.\nAnswer: -90 + 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50, -73, -114, -173?\n\"Answer: -9*l**2 + 4*l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45937\/18 - 2553. Find the common denominator of u and 103\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1617*p + 50134. Determine l(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004749290891 to 6 decimal places.\nAnswer: 0.004749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*k**2 - 94180*k - 15696.\nAnswer: -4*(k + 3924)*(6*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -640, -2176, -5168, -10102?\n\"Answer: -81*u**3 + u**2 - 2*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-813846)\/(-39) - 5\/(65\/(-2))?\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13\/8*g - 3\/4 - 3\/8*g**4 - 5\/8*g**3 + 17\/8*g**2 = 0 for g.\nAnswer: -3, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6429 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -52. What is the remainder when 19 is divided by m*1\/(-3)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -925.15 * 280.\nAnswer: -259042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -159. Let p = 7 + -3. Let g = p - 3.7. Sort a, g, -1.\nAnswer: a, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9*i + 4*i**3 - 9*i)*(-3 + 3 + 2) + 82*i**3 - 2743*i + 2743*i)*(-3*i - 2*i + 4*i) to a + d*i**3 + x*i**2 + j*i + v*i**4 and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*10*15\/(75\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 360\/(-80)*(-6)\/9 + -10. Let s(t) = 7*t + 29. Give s(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (3 + -1) - 7) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*(o\/(o*o**(-4\/5)))\/o)\/(o*o**1*o)**(2\/169))\/((o\/o**(1\/4))**(8\/11))**(-1\/73) assuming o is positive.\nAnswer: o**(-4225937\/678535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -7 - (16 - 25). Suppose -n*s + 897 = -3*y, -5*s - y = -6*s + 446. What is the highest common divisor of s and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**3 + c**2 - c - 2. Let d be u(-2). Suppose -3*p = 5*x - 176, 0 = 3*x - 5*p - 0*p - d. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 113*o + 112. Determine p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5255 + 5255.5. Which is the third smallest value? (a) 2 (b) i (c) -209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) + (-452)\/(-5). Let k = -84 + m. Solve -2*h + k*h = -8, 3*s = h + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -417*x + 2076. Let d be p(5). Suppose -6*k + 8*k = 42. Let q = -31 + k. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, 17*c - 15*c = 2*b - 30812. Suppose -r - 2*t = 3*r - 12326, b = 5*r + 3*t. 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 757248795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/16*0\/(2 - -1). Solve i = -s - 5*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477*-1.023.\nAnswer: -487.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337231?\nAnswer: 4337231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/6)\/(14\/(-10)*2055\/(-8631)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -2*t**3 + 0 + 0*t - 27*t**2 + 3\/4*t**5 - 3*t**4 + 13\/40*t**6. Factor w(r).\nAnswer: 3*(r - 1)*(r + 2)*(13*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-10)*-1*((-1890)\/(-36))\/(-21). Which is the fourth biggest value? (a) v (b) 2 (c) 3\/4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9548, 9555, 9566, 9581, 9600, 9623?\n\"Answer: 2*h**2 + h + 9545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -662?\nAnswer: 662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, -315, -697, -1225, -1893, -2695?\n\"Answer: c**3 - 82*c**2 + 9*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3331 - -3277. Let t = -54.23 + -0.17. Let u = t - a. Which is bigger: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2)\/k*k**(-3)\/k)\/(k*k**(1\/2)\/k*k)**(-22) assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -19*x**2 + 5*x + 8. Let y(a) = -20*a**2 + 5*a + 9. What is 7*g(c) - 6*y(c)?\nAnswer: -13*c**2 + 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhhhhkhhhkhhhhhkh. Give prob of sequence kkkh.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/4, 7, 4.01, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.041 + -31. Let d = a + 20.959. Let p = d - 20. Put -0.5, p, -5\/2 in decreasing order.\nAnswer: p, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c28 (base 15) to base 9.\nAnswer: 85742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) 14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2 - 154498*z + 1545180 = 0?\nAnswer: -77259, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q, l - 3*l - q = -9. Suppose 5*r = -l*v + 8, v + 11 = 3*r - r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21485599 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.162 + 0.262. Which is the second smallest value? (a) 0.2 (b) -1\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14105 + 5?\nAnswer: 14113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*l = -10*o + 35, -o - 2*l + 14 = 0. Which is smaller: o or 1676?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*j**3*z + 24*j**3 + 3*j**2*z + 1156*z wrt j?\nAnswer: -636*z + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -2) + (-15 + 14 - -3). Let h(x) = -x**2 - 8*x - 20. Determine h(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, -0.06, 0.9, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26634508 to the power of 1\/2, to the nearest integer?\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 40 = -3*f, -5*f + 34 = -5*r + 4*r. Let c = 179 + r. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1935.\nAnswer: -4\/1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and -39\/143948?\nAnswer: 143948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 7 + 55. Suppose -m = -3*m. Suppose -j + 2 = -m. Solve -q = 4*w + 11, j*w + 5 = -3*q - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*v + 35 - 33 = 0, 5 = -3*p + 4*v. What is the biggest value in -739, 4, -2, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/90720 + w**5\/20 + 5*w**2. Let a(y) be the third derivative of s(y). Find j, given that a(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*1*4. What is the common denominator of (-183)\/30 - (-3 - u) and 34\/4*(-7)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380256.91 rounded to the nearest 10000?\nAnswer: 4380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-5 + 1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - t - 94 = -76. Solve 3*q - 2*i + 4 = 0, -5*q - t*i = -i - 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 120, 163, 244, 375, 568, 835, 1188?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2. Let h be k(0). Suppose 2*x = 10 + h. Solve 2*v = 4*q + 4 + 6, 0 = -3*q + 2*v - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 3*r + 41, 4*n - 5*r = 49. Let z be 1\/(-1 - (-11)\/(220\/24)). Suppose -z*v - 8 = -9*v. What is the remainder when n is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 19*l - 7. Let m be h(-9). Let p(o) = 4*o**3 - o**2 + o - 1. Calculate the remainder when 57 is divided by p(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3503 (base 6) to base 16.\nAnswer: 33f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*v + 266*v - 1365*v + 342*v + 486*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-1 + (-12)\/(-8)). Let m(n) = -n**3 + 2*n + 1. Let c be m(p). Which is bigger: c or 14\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 19*h - 100 = 0. Which is the fourth biggest value? (a) 0 (b) h (c) -0.3 (d) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-34 - -23 - (-11 - (2 - 4))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:29 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w**(-23)\/w)*w*w*w)**(-13\/6) assuming w is positive.\nAnswer: w**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860863731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30993 times 1.9\nAnswer: -58886.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -174055.743 rounded to the nearest 100?\nAnswer: -174100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r - 0*s + 3*s, -r = 3*s - 3. Suppose r*i - 12 - 6 = 0. Let n = 14 - i. Calculate the greatest common divisor of n and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 8*j - 3. Let r be z(7). Suppose -3*y - 3*y - 402 = 0. Let i = -51 - y. Solve -3*a - 3 = -2*h, -3*a - r*h - 1 + i = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27973211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 12 = 2726007*m - 2726002*m, 2*f = 2*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37915 rounded to 3 dps?\nAnswer: 0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 188*j - 14938 = 185*j, 0 = 4*u - 2*j - 59822. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-1*((sqrt(88) - ((sqrt(88) - sqrt(88)*-3) + sqrt(88) - sqrt(88))) + sqrt(88)))\/(5*sqrt(968)*-1*-3).\nAnswer: -8*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + 1. Suppose 38 = q + p*o, q + o = 47 - 13. Let s = -15 + q. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -343, -690, -1051, -1432, -1839, -2278, -2755, -3276?\n\"Answer: -v**3 - v**2 - 337*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -156051868 >= -156051877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, w: 7, r: 1}. What is prob of sequence waww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + 2*s)*(-91*s**2 + 1 + 203*s**2 + 5).\nAnswer: 336*s**3 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.202 - -6.802. What is the third biggest value in -1, -4, 2\/11, 4.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.05 + -0.05. Let g = -3.59 - -3.99. What is the nearest to x in g, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 5. Let s be (-1*3)\/(-1 - 2). Let g be (s\/1)\/(5\/20). Suppose t = g*t - 15. Determine n(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c56 + 2274?\nAnswer: 2eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2 (b) 12\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 25. What is the remainder when 624\/36*27\/6 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z + 72. Let h be k(-15). Let s = 340 - h. What is the greatest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 6*h - 4. Does 10 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 2*s**2 - 6*s - 6. Let x = -11 - -7. Let g be m(x). Let q be (-1998)\/g + 4\/14. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5 = -25. Suppose 0 = 4*d + x*i - 535, -3*d + i + 407 = -i. Calculate the greatest common divisor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 537541566 and 537541566 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 + 28*x**2 - 8*x**2. Let s(c) = -2*c**2. Determine i(s(h)).\nAnswer: 108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(540)\/(2*sqrt(12))*1)**2 + 1.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:46 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5358, -21029, -47148, -83715, -130730, -188193?\n\"Answer: -5224*o**2 + o - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*5\/(-15)*(-56)\/(-5). What is the third smallest value in t, -0.01, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 n when four letters picked without replacement from {j: 5, n: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41072*y**4 + y**2 + 48*y - 37?\nAnswer: -985728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 755249?\nAnswer: 755246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 8480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a4 (base 16) to base 2.\nAnswer: -10010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25419.84l?\nAnswer: 25419840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(405) + -1)*-3 + 2 + (sqrt(405) + (-1 + sqrt(405) - sqrt(405)) - sqrt(405)))*3*1 + -5)*1)**2*3.\nAnswer: -3402*sqrt(5) + 98562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13643*b = 13783*b - 945 - 2695 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 - -14.3. Which is the second smallest value? (a) -0.4 (b) f (c) 8 (d) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300) + 1) + ((0 + sqrt(1300))*5 - sqrt(1300))**2 - (sqrt(39)\/sqrt(48)*-6*-3)**2.\nAnswer: 50*sqrt(13) + 82167\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51160 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1367561*f**2. Let x(l) = -l**2. What is n(x(m))?\nAnswer: 1367561*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let q(h) = 6*h**2 + 6. What is v(q(z))?\nAnswer: 12*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*f - 36, -f - 3*o = f - 9. Sort f, -2, -5 in decreasing order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/8 - 4)*20. Let z(m) = -5*m - 51. Let y be z(q). Let a be ((-2 + 1)*y)\/((-12)\/(-24)). Solve n + a*n - 13 = 4*l, -l = -3*n + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4360*p - 17534*p + 4368*p + 4453*p + 4372*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*v**6 - 5*v**2 + 36*v**6 - 2*v**5 + 2*v**5 wrt v?\nAnswer: 4320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**5 - 3*g**2)*(1 - 3 + 3)*(-2 + 1 - 1)*(-2 - 1 + 1).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2795020179 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53512, 425324, 1433738, 3397054, 6633572, 11461592, 18199414, 27165338?\n\"Answer: 53050*z**3 + z**2 + 459*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 531*t**2 + 611 + 1529 - 5570*t + 5567*t wrt t?\nAnswer: 1062*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 37 = 3*l, 0*u + 4*l - 72 = -2*u. Suppose -22*b + u*b = 148. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**(2\/7)*h)\/h))\/h)**(4\/15)\/((h\/((h*h\/(h*h*h**(-4\/5)))\/h))\/(h**(-3)\/h*h)))**(2\/23) assuming h is positive.\nAnswer: h**(-318\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y - 10 = 0. Suppose -x - 18 + 4 = 3*o, -2*o - 14 = -4*x. Let z be (-2)\/(-6)*(o - -6). Which is the third biggest value? (a) y (b) -1\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1037 - -1556. What are the prime factors of d?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5927*t + 5686*t + 4338 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/21 and -149\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 e, and 1 q when four letters picked without replacement from hpxhhqehxqhpqqhexph?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (117\/(-52))\/(2*(-33)\/(-48)). Let j(t) = -2*t**2 + 1. Let l be j(-1). Are l and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Let s be i(6). Suppose 5*o - 3*b - b = s, 5*b - 11 = o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 1280*i**2 - 217126*i + 439356 = 0. What is i?\nAnswer: -141, 2, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 6. Let q(c) be the first derivative of -33 + 15 + c + 25. Give -a(k) - 3*q(k).\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-834)\/(-18) + 2\/3 + 7. Solve 14*z + 13*z - i = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 + -197. Let g(h) = 4*h. Let y be g(1). Suppose -2*i - 74 = -l*i - 3*o, y*i + o = 78. Calculate the greatest common factor of 40 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 24 - 7 = -16*y. Factor 75\/2*p - 27\/2*p**3 + 45\/2*p**2 + 3\/2*p**y + 0.\nAnswer: 3*p*(p - 5)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/36200127 and 27\/3389525?\nAnswer: 905003175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -18 + 12. Suppose -s = -y*t + t - 5, 47 = 4*s + 5*t. Let w(a) = 16*a - 22*a + s*a. Let q(m) = 57*m**2. Give q(w(j)).\nAnswer: 228*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1505 and -69\/430?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5246 and 2559016?\nAnswer: 156099976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.9. Let f(z) = -z + 9. Let o be f(8). Which is the closest to o? (a) -1\/2 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -174 + -13?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/33)\/(k**9\/k))\/((k**(2\/11)\/k)\/(k\/(k**12*k))) assuming k is positive.\nAnswer: k**(-635\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 11*z**2 - 11*z + 7. Let l be y(10). Let t(a) = -4*a**3 + a + 4. Let c(o) = -6*o**3 + 2*o + 7 - 4*o**3 + 3*o**3. Calculate l*c(v) + 5*t(v).\nAnswer: v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3247.9 - -3248.9. What is the nearest to -3\/2 in -1, o, 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(-6*3\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Suppose 22010 = -2*w - 5*b, 5*w + s*b - 3*b = -55002. What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/70 and -52\/45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 - 36 + 229*b - 948.\nAnswer: 229*b - 1400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Let q(m) = -m**2 + 7*m - 2. What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 184 = -n, -3*n - 88 = -3*x + 2*n. What is the lowest common multiple of 16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose u = -5*y + q + 38, 4*y + 0*q - q = 31. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/11, -0.0157, 1\/17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 75. Which is bigger: -43 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 8580*b**3 - 8182458*b**2 - 2604743412*b - 2596569531 = 0?\nAnswer: -953, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 3*q - 3. Let d be r(-7). Suppose w - 39 - d = 0. Find the common denominator of w\/10 - 14\/(-35) and -25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*x - 207*x - 273*x - 216*x + 803*x.\nAnswer: -88*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -800 greater than -4634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, o: 3}. What is prob of picking 2 r?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 356*z + 2654 + 7670 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x = -2*n - 26, 0 = -n - 5*x + 8. Let g be n\/(2*(-2)\/12). Let o be 3\/5*(g + 9). Calculate the highest common divisor of o and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 232 - 582. Solve -4*f + 9 = c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2674*r**4 + 649*r**2 - 42431645*r wrt r.\nAnswer: 32088*r**2 + 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9))**30)**(2\/13)\/((s**(-6\/11)\/s)\/s*s*s**(-3))**(-5\/13) assuming s is positive.\nAnswer: s**(-310\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -536049 (base 15) in base 2?\nAnswer: -1111001001000000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4834323, -4834317, -4834299, -4834263, -4834203, -4834113?\nAnswer: -4833987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 7 + 16*f + 13)*(2 + 0 + 0)*(3*f**2 - 3*f**2 + 2*f**3).\nAnswer: 64*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (714\/1071)\/((-2)\/93)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/14*14\/4. Calculate the remainder when -1*2*(-4 - (-8)\/b) is divided by (9\/6)\/(3\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 115943240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1*(sqrt(200) - sqrt(200)*-4))*-6 + -2)**2 - (-4*(-4 + sqrt(200)) - (3*sqrt(200) + 0 + sqrt(200)))**2.\nAnswer: 4000*sqrt(2) + 246148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11604?\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/(-90) - (-392)\/(-224)*(-48)\/(-105)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*v = -351 - 1875 - 570 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 320, 322, 324, 326, 328, 330?\n\"Answer: 2*f + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -1, -0.4, 21.\nAnswer: -1, -0.4, 1\/4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4. Let k(d) = -943*d + 770. Let h(w) = 6*c(w) + k(w). Find the first derivative of h(r) wrt r.\nAnswer: -943","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 1, c: 2, m: 1, p: 1}. Give prob of picking 1 c and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1665891 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 66207.63 to the nearest one hundred.\nAnswer: 66200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -19. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1330170 and 83\/2626.\nAnswer: 17292210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.8 less than 6?\nAnswer: -153.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8.2. Put -1\/6, r, -3 in descending order.\nAnswer: -1\/6, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2186 + -b877?\nAnswer: -11a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d + 8. Suppose 0 = 2*j - d - 4. Suppose -5*u - 3 = 2, j*a + 2*u - 1522 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 22674?\nAnswer: 1949964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 - 6*x + 2. Let i be (0 + -3)*-1 - -3. Let s be n(i). Factor -1\/2*d**s - 1\/2*d**3 + 0 + 0*d.\nAnswer: -d**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.371 - -4.4. What is c rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2678 * -36.536\nAnswer: 9.7843408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 38*s - 8. Suppose g - 3*q + 3 = 0, 7*g = 9*g + 4*q - 24. Let p be u(g). Sort -4, -3, p, -9 in decreasing order.\nAnswer: p, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2996\/8 + 12\/8. Suppose 106 = u + 5*c, -3*c + j = 3*u + 58. Suppose -4*v + 2*s = -48 - u, -s = 3*v - 103. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167655 divided by 7\nAnswer: -167655\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-4))\/(-1))\/(8\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-7)\/(-3) + -2)*9. Let m(c) = c**3 + 2*c**2 - 5*c - 3. What is m(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*p = -19, p - 3*p + 8 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let f be (-1 - -1 - 0) + 4. Suppose 2*n - 38 = -5*j, -2*j + 5*j = 2*n + 10. Let z(w) = j*w - f*w - w. Calculate z(d(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = 33*h. Suppose h = -o - z + 69, -z - 16 = -5*o + 323. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/254240 and -81\/3087200.\nAnswer: 21610400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18548 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0*z + 22 + 0*z + 0*z - 52 - 3*z. Give m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14809285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -660 or -652?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-63*16\/1728)\/((-42)\/348)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/5)\/(3*1\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j, -4 = 5*r + 3*j - 16. Suppose r*a = a + 8, 0 = -5*k - 3*a + 297. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -947\/3 + 18829\/60. What is the common denominator of -47\/28 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 12*v + 17. Suppose -2*a = a - 39. Let y be u(a). Suppose -8 - 4 = -y*k. Sort -3, k, 5.\nAnswer: -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4 - 4)*(-60385121 + 2063*v**4 + 60385121).\nAnswer: 4126*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34.728 centuries?\nAnswer: 3472.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:43 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0243139782 rounded to six decimal places?\nAnswer: 0.024314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35580?\nAnswer: 2, 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2464 - 4?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523.609 months in years?\nAnswer: 460.30075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0 = -5*d + 2, 190 = -24*a - d for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - u**2 - 4*u + 1. Give g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1568, -1492, -1418, -1346?\n\"Answer: -s**2 + 79*s - 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = 2*x - 4*p - 411, -8*x + 10 = 2*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 + b - 3. Let y be s(-3). Let c = 9 + y. Suppose 20 = -f + c*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 13*x**2 + x - 6. Let s be k(11). Suppose s + 5577 = 16*c. Is c a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.083 + 0.017. Which is the nearest to u? (a) -3 (b) -0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqivamiiqmavvmvia. What is prob of picking 3 a?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/(-6))\/(6\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.21.\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.9582 - -0.0418. What is the nearest to 2\/23 in -1\/3, n, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 14*c - 1. Let k(u) = 44*u - 2941. Let v be k(67). Give b(v).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3184*t = -3314*t + 493848 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -23*j**4\/24 + 4*j**3\/3 - 17*j**2 + 6. Let q(t) = -8*t + 3. Calculate 6*a(i) - 17*q(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 514707532 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/37 - (-1058)\/6. Let j = y - 2698\/15. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 73 = 26. Calculate the highest common factor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:23 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {l: 1, k: 1, u: 1, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102598257\/4753 - -21586. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4658, 9683, 14718, 19763, 24818, 29883?\n\"Answer: 5*n**2 + 5010*n - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-16 - (-34 + (-14 - -9)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*q = 29507 - 199047. Solve q - 980 = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**5 + 20*b**4 + 9*b**3 - 32*b**2 + 2*b. Let v(u) = 9*u**5 + 201*u**4 + 90*u**3 - 321*u**2 + 21*u. Let f(l) = 2*v(l) - 21*w(l). Solve f(x) = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 15*y + 7. Let d(x) = 3*x**2 - 23*x - 11. Determine -5*d(i) - 8*r(i).\nAnswer: i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2178?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**2 - 2 + 19*y**2 + 2 as z*y**2 + t + u*y and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = -g + 7*m, -2*g + 32 = -3*m. Suppose -2 = 2*c - 0*h - 5*h, -2*h - g = -2*c. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r**2 + 42*r + 3867. Let m(w) = -18*w**2 + 40*w + 3868. Let c(o) = -4*i(o) + 3*m(o). What is the derivative of c(f) wrt f?\nAnswer: 20*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = t + 13, 2 + 4 = -2*t - 4*o. Calculate the common denominator of -68\/21 and ((-88)\/42)\/(((-36)\/t)\/(-2)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -147*q + 141*q. What is the smallest common multiple of q and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 2a?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178.71 - -2.71. Let g = k + 276. Let i = 49 - g. What is the smallest value in i, -0.3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3)\/d)\/((d\/(((d*d\/(d\/(d*d**(-2\/17))*d))\/d)\/d))\/d*d))**(-29))**38 assuming d is positive.\nAnswer: d**(137750\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*o - 47*o + 132 + 137*o - 45*o - 3 to the form w + q*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllh when four letters picked without replacement from {l: 12, h: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a hour?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*t + 43481, -5*t - 1974 - 12543 = -b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -901 + 918. Put 3, o, -2\/7, -0.5 in decreasing order.\nAnswer: o, 3, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64774 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 76*z**2 + 5*z + 384. Determine a(-76).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - f = 1, 5*f = 5*v + 7*f - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 194, 559, 1268, 2435, 4174, 6599?\n\"Answer: 19*i**3 + i**2 - i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13039*y + 22974 wrt y.\nAnswer: 13039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2291, -3142, -3993, -4844, -5695, -6546?\nAnswer: -7397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/60 - f**2 - f. Let b(t) be the first derivative of u(t). Let j(s) = s**2 - s**2 - 2*s**2. Give j(b(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -654*r + 7 - 11 + 661*r. Let m(j) = -j + 9. Let g be m(9). Let w(z) = 6 - 5 + 4 - 8*z + g. Calculate -6*l(y) - 5*w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 743 + 0?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30211.5 years to decades.\nAnswer: 3021.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1287 and 3237.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6587, 6614, 6653, 6698, 6743, 6782?\nAnswer: 6809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3 - 9*x**2 - 20*x - 12 = 0. What is x?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.03 and 0.9.\nAnswer: -1.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + 4*m - 9. Let y be q(7). Let x = -9 + 9. Let j = y + x. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 52.5, 3, 0.169 in increasing order.\nAnswer: -0.5, 0.169, 3, 52.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away -1661645410?\nAnswer: 1661645431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-11))\/(8\/(112\/35))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3766\nAnswer: -5\/3766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(-4*f - 5*f + 6*f) + 3 - 2*f**2 - 3.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - 10) + (-17 - (-43 + 20) - -16).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 47, 54, 65, 80, 99?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 79\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394 divided by 9.\nAnswer: -1394\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 3 (c) -1\/15 (d) 0 (e) 1\/4 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/42 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705 a factor of 557949000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 3*n**4\/8 - n**3\/3 - n**2. Let h be z(2). Suppose 0 = s - 3*s + h. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011001001011 - 11100000?\nAnswer: -1011011100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44137595, -88275198, -132412801, -176550404, -220688007?\n\"Answer: -44137603*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555254 divided by 1?\nAnswer: -1555254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16805119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 29*d + 8. Let m(s) = -s**2 + 7*s - 2. Let o(f) = -9*m(f) - 2*p(f). Calculate o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36857, -73713, -110569?\nAnswer: -147425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5285 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/3*v**3 - 32\/3*v - 10\/3 - 12*v**2 - 2\/3*v**4 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let b(r) = 70*r + 235. Let w(n) = -b(n) - z(n). Differentiate w(o) with respect to o.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:29 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7895 - 1305. What is t rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -1)\/((-3)\/8). Suppose 16 = g*q - 4*q. Which is the third smallest value? (a) 3 (b) 0.06 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86443337?\nAnswer: 641, 134857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 372984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1212 and 61\/3030.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69693 + 69692.9699988. Let b = s + 0.03. Round b to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1786, -14113, -47550, -112651, -219970, -380061, -603478, -900775?\nAnswer: -1282506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4 = -3*p, -30*n + 33*n = 4*p + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 81*x**2 - 281. Let v(y) = 19*y**2 - 2. Calculate -f(q) + 4*v(q).\nAnswer: -5*q**2 + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300) - (sqrt(108) + -1) - (-2*(0 + sqrt(3)) - 3*-1*sqrt(3))) + -1)**2.\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 373572472 divided by 7184086\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 41*y**6\/24 - y**5\/60 + 151*y**3\/3 - 448*y**2. Differentiate s(p) with respect to p.\nAnswer: 615*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78770.69 kilometers to meters.\nAnswer: 78770690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 308\/21*(-15)\/(-30)*-3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3006007435 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36 = -3*s, -s + 13*q + 22 = 18*q. List the prime factors of (45\/6)\/(s\/154).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2 + 521056*w - 94245614 = 0.\nAnswer: 181, 260347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 63011. Let b(n) = 5*n. Give b(s(k)).\nAnswer: -5*k + 315055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - v = 51294 - 51347, -2*o - 15*v + 623 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j**5 + 0*j + 0*j**6 + 0 - 74*j**2 + 0*j**3 + 79\/210*j**7 + 3*j**4. Find the second derivative of n(q) wrt q.\nAnswer: 948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -24, -1.2, 0, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdwvvegvpvpwvvvpv. Give prob of picking 2 v and 1 d.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/24 + z**5\/6 - 5*z**4\/24 - 5*z**3\/3 - 55*z**2 + 3. Factor q(g).\nAnswer: 5*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:10 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -17. Solve 0 = i - f, i - 2*i + 1 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-2)\/(-20)). Let o = 5 - y. Suppose 3*v - 52 = -0*m + 5*m, o = 5*v - 4*m - 104. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1247, -1257, -1273, -1295, -1323?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**4*y**3 - 4*r**4 - 2*r**3*y**2 + 67*r**2*y**2 + y**3 wrt r?\nAnswer: 72*r*y**3 - 96*r - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4708241cm to meters.\nAnswer: 0.004708241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 6*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/(i**(3\/5)\/i))*i**(1\/4)*i\/i**(-1\/6)*i*(i*i**(-4\/3)*i*i)\/i assuming i is positive.\nAnswer: i**(221\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.11 - 0.11. Let b = 3 - 2.6. What is the third smallest value in -1\/5, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14919365*m**3 - 7459594*m**3 - 7459773*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 4*c**2 - c - 2*c**2. Let f(p) = -4*p + 13*p**2 + 10*p - 2*p + p. Let o(i) = 4*f(i) + 18*m(i). Find n such that o(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2 + 28*u + 127. What is j(0)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c + 21. Let l(f) = -4*f + 10. Let b(w) = -7*l(w) + 3*y(w). Let u be 6 - (0 - -6) - 6\/(-2). What are the prime factors of b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.07, -13, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-3 + (1 - 0) + 1). Solve 0 = a - o, -k*a - 1 - 7 = -2*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from eeeeeeayeweeeeeyyea.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -190 - 210. List the prime factors of (3 + -2)*v*(-1434)\/24.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 735588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o + 4. Let m(v) = -16*v - 3. What is -5*m(z) - 4*q(z)?\nAnswer: 12*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let j(o) = -3*o**2 - 14*o - 46. Let y(g) = j(g) + 3*z(g). Let b(l) = l**2. Let m(k) = -2*b(k) - y(k). Solve m(f) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12332 is divided by 601.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109942 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*m**3 + 504*m**3 - 1014*m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - v**2 + 26*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -78, -176, -314, -492, -710, -968?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*c - 1919 = 0, -4*u + 2245 + 311 = -4*c. Is 72 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, g: 5}. Give prob of picking 2 g and 2 a.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-12) - 11\/(-66). Let m = 23 - 13. Suppose 0 = -5*z - 10 - m. Put z, -0.2, a in descending order.\nAnswer: a, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/304 and -53\/80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/207 and 109\/19458?\nAnswer: 19458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 24 - 36 = -4*k, i = 4. Let w = 26 - k. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168354*b + 168343*b + 6*b**2 - 4*b**2.\nAnswer: 2*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*l + 14, -3*y - 2*y = -5*l - 95. Suppose 0 = 11*x - y*x + 120. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(117)*-3)**2.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3057831465 to the power of 1\/2, to the nearest integer?\nAnswer: 55298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -31.5302, 5, 0.5, -2\/13 in decreasing order.\nAnswer: 5, 0.5, -2\/13, -31.5302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000172719112 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7378 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 683 + 719 + 56*s - 2360 + 766 - 2*s**2.\nAnswer: -2*(s - 24)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134457779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0288636873 rounded to 4 dps?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 3389*d**3 + 2*d**2 - 3391*d**3 - 3425*d**3 + 13598*d**3 - 3392*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 + o**2. Let h be 1 + -3 + (1 - 0). Let x be f(h). Suppose -2*n - 5*i = -1, n + x*i - 5 = -2*n. What is the highest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -27023.55.\nAnswer: -810.7065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140503183861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*x, x + 2*x - 20 = -2*s. Let c(a) = -61 + s*a + 4*a**2 + 59 - 2*a. What are the prime factors of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - t**5 + 2 + 2*t**5 - 8 + 8 + (-3*t - t + 3*t)*(3*t**4 - 2*t**4 - 3*t**4) + 3*t**5 - 3*t**5 + t**5.\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372748*m**3*y**3 + 2*m**3*y**2 + m**2*y**4 - 39*m*y**2 - 483*y**2 - 2*y wrt y.\nAnswer: -2236488*m**3 + 24*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 325. Suppose y + 26 = 9*m. Solve -r + 9 = 4*d, 6*r = -2*d + 2*r - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 5*x - 8. Let d be m(-4). What is the smallest value in d, 1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005683099 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*o - 2 = 5*k, 10 = -5*k + 4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 4*g - 4*g + 2*g**2)*((0 + 4 - 1)*(2 + 2*g + 3 - 3) + 17 - 17 + 8*g).\nAnswer: 28*g**4 + 40*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -454, -513, -516, -445, -282, -9?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:55 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnndnmndnnnn.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -20. Let u = -5 + y. Suppose m - 5*m + 424 = u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*i**3 - 32*i + 3*i**3 + 88*i - 56*i + 7*i**3.\nAnswer: -109*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + (-4 - (3 - 7)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -833830, -1667650, -2501468, -3335284, -4169098?\nAnswer: -5002910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -3*n - 9 = t - i*t, 10 = -2*t - 4*n. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.017641 from -63.95.\nAnswer: -63.932359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 14*m - 3*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by 5\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.076, 0, -1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d + 4*c + 8, -2*d + 8 = -4*c. Let w(s) be the first derivative of -1 - 5\/12*s**4 + 4\/9*s**3 + d*s + 2\/15*s**5 - 1\/6*s**2. Factor w(f).\nAnswer: f*(f - 1)**2*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/200 and -149\/18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.35 - -40.357807. What is r rounded to four dps?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*r**2*t - 4*i**2*r**2 + 10*i**2*t + 17*i*r**2*t + 3*i*t + 17*i + r*t wrt r?\nAnswer: -14*i**2*t - 8*i**2 + 34*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -854005852, -854005851, -854005850?\nAnswer: -854005849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, n: 1, c: 2, k: 2, u: 1, x: 1}. What is prob of sequence rur?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 18 = -1979*h + 1978*h, 0 = 5*k + 4*h + 30 + 21 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 15. Let z(r) = 3*r + 45. Let c(l) = -17*u(l) - 6*z(l). Let b be c(-7). Let w(v) = -v - 3. Let i be w(b). Sort 3, 2, i.\nAnswer: 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 13 - 47 = -2*l, -5*l + 34 = 4*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 + 2*d + 28. Give o(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*x = -66*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 1. Let l = 18 - 16. Let t be (-7 + l)*((-16)\/(-5) - 2). Give q(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k = 10. Suppose 0 = 5*l - k*l. Suppose 4*q - 8 = -l*q. Solve s = 2*h + 13, q*h + 2*s + 1 = -s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 74. Let p(t) = t**2. Give p(x(a)).\nAnswer: 16*a**2 + 592*a + 5476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/1512)\/(4125\/5250)\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (2\/4*2)\/(153\/(-4131))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 53560*k + 27. Let w(n) = 2*n**2. Give v(w(s)).\nAnswer: 107120*s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612 = -170*i - 3868 - 311 - 649 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/(5\/(-5)). What is the units digit of (19 + v)*(-108)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-3) - 0\/(-1). Suppose -p + 7 = -t. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0 - 2 + 6 + 3*j. Let g be l(-3). Let o = 66 + -66. Sort g, 2, o.\nAnswer: g, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {j: 2, e: 1, k: 1, g: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:23 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 373.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 20. Let b(c) = c - 8. Let r be b(8). Suppose -s + 3 = -r. Solve f = -s*p + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9334836*q*z - 28*q - 912*z - 107602 wrt q?\nAnswer: -9334836*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x**3 - 6*x**3)*(2*x - 5*x + x)*(x - x - x).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*z + 10, 2*q - 10*z + 8*z - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -824 > 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 225471049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618583 is divided by 5344.\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((120\/38)\/15)\/(1*2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-6)*6\/4. Let p = 12 + q. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1785, 1631, 1389, 1071, 689, 255?\n\"Answer: 2*a**3 - 56*a**2 + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 48\/6 - 0. Is d equal to -2\/805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 4*m, 0 = -u + 4*m. Suppose u = 2*b - 12. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1137045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2870, 3237, 3648, 4127, 4698, 5385, 6212, 7203?\nAnswer: 8382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t - 12 + 31 - 11 - 9 in the form z*t + g and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/1989?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5\/3))\/j*j*j**31*j assuming j is positive.\nAnswer: j**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6434 or -1479971\/230?\nAnswer: -6434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -31*j**2 + j - 3. Let l(v) = 74*v**2 - 3*v + 7. Let f(m) = -3*l(m) - 7*w(m). Let h(k) = -k. What is f(h(p))?\nAnswer: -5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1438897 + 0.\nAnswer: -1438897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 127*y**2 + 6*y + 2. Let t(k) = 126*k**2 + 5*k + 2. Let s = -316 + 311. Let d(i) = s*t(i) + 4*v(i). What is the second derivative of d(w) wrt w?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.211 + 764.449. Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362200 + 354428 = -30*o + 146*o for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.0728 + -0.0728. Which is the biggest value? (a) 27 (b) k (c) 4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262369198.\nAnswer: 2, 7, 13, 1441589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/470 or -1?\nAnswer: -1\/470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y**3 + 5*y**2 - 3*y + 4. Let d be t(6). Suppose -56 = p - 2*h - 1126, -3*h - d = -5*p. What are the prime factors of p?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*x - 3, t + 4*x + 13 = -x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 196*i**3 - 4*i**2 + 42*i - 10. Let x be d(10). What is x rounded to the nearest one thousand?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24 + 51)*2\/(-6). Let u be 0 + 23900003 - i*4\/(-12). Round u to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 2*g)*(5*g - 2*g**2 - 5*g)*(-3670 + 8555*g + 1587*g + 3670).\nAnswer: -20284*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o + 16 - o**2 - 6 - 2 - 3*o**2. Let f be z(5). Solve 4*n - 4*r - 10 = -26, 4*r + f = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 27*w**2 - w - 9. What is the hundreds digit of x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, -145, 13 in descending order.\nAnswer: 13, 3, -2, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-49))\/(2160\/(-8190))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaoo when four letters picked without replacement from {o: 4, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 934321?\nAnswer: -4\/934321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -402, -431, -506, -651, -890, -1247, -1746?\n\"Answer: -4*n**3 + n**2 - 4*n - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 - c + 2. Let k(b) = 2*b**2 - 1. Let f(m) = 7*k(m) + 2*z(m). List the prime factors of f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -19. What is the third biggest value in -0.04, q, 2\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 29. Let r be 4\/s + (-272)\/(-72). Solve 2*p + 3 = 3*k - 8*k, 5*p = -k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -a8?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)*i\/(i*(i\/i**(-11))\/i)*i)**(-22) assuming i is positive.\nAnswer: i**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -1\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 303117403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13197, 26396, 39595, 52794, 65993?\n\"Answer: 13199*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 59*d + 8825. Calculate l(-149).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11349 - -21211. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -2\/3*l**3 + 7\/30*l**5 + 0 - 1\/20*l**6 + 1\/4*l**4 - l**2 - 1\/21*l**7 + 0*l. Determine j so that o(j) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(2\/9)*d*d)\/d))**(-24)\/(d\/(d**3*d*d*d)*d)**(1\/50))**34 assuming d is positive.\nAnswer: d**(75004\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a + 7. Let h = -359 - -360. Let v(x) = -h + 11 - x - 9. Suppose 5*z + 1 + 4 = 0. Give z*f(m) + 4*v(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8539648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 42. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*d - 1312 = d, 3*q = -3*d - 954. Is q bigger than -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 4*p**2 + 14*p + 7. Let k be b(-6). Suppose 3*i = 3*n - 12, -3*i + 4*n - 19 = 2*i. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-18 + -3)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:12 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-42))\/((-16)\/(-276)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 10, 0.1, 0.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 3060.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-four thirds of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1712582833 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25999 = -136*u + 437*u + 5305 for u.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4119666 - 0.2.\nAnswer: 4119665.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12487\/3 in -4, 2\/41, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 12 = -15*g. What is the units digit of 33 - (-3 - (g + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*j - 611*j = -1229*j - 189 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 33426472?\nAnswer: 367691192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.0465239\nAnswer: 0.1395717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -468, 5, 11, 0 in descending order.\nAnswer: 11, 5, 0, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k + 28 - 132 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k - 86. Suppose -w - 52 = z - 44, -z + 58 = -5*w. Let p be n(w). Suppose 0*l - 4*l = -2*q - 20, -q = -l + 7. Put -3, -1, p, q in decreasing order.\nAnswer: p, -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/862 in 0.3, -2, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, a: 4, j: 6, h: 1, w: 2}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 26*v - 66. Let x(o) = 7*o**2 - 53*o + 132. Let k(d) = -5*h(d) - 2*x(d). Let i be k(21). Solve -i*s - f = -2*s - 3, 4*f = -2*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139982 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.606 - -3.416. Let x = -2.71 + o. Put -3, x, 2 in decreasing order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:09 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10252, -10251, -10250, -10249, -10248?\nAnswer: -10247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5553 divide 1330492822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 28420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/4 - 4089899*y + 16727273830201 = 0.\nAnswer: 8179798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*j - j + 2*b, 0 = 2*j + 2*b - 16. What is the third derivative of 4*f**6 - 2*f**2 + j*f - 7*f - 3*f**6 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252644147.999887 + -252643919. Let t = -229 + c. Round t to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.5 - 13. Let p = o - -14.5. Let u = -21 + p. What is the nearest to 0.1 in 0.1, -3, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626470?\nAnswer: 2, 5, 13, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*b - 2564, 15*q - 10*q = 2*b + 12784. List the prime factors of q.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 17*q - 57 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 235 + 235 - 4*m - 2*m + 4*m + (0 + 5 - 4)*(-m + 3 - 3) + 2 - 2 - 2*m + (-3*m + m + 0*m)*(1 - 2 + 3).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 21 = -6*o + 14*o - 8*o + o, -5*o - 30*b - 325 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91280105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, -2*u - u - 3*f + 15 = 0. Let g be ((1 + 2)\/(-33))\/(u\/8). Put g, -1, 6 in increasing order.\nAnswer: -1, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -u - 142, 5*u - 56 = -q. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*b + 5, 0 = -4*b - v + 6*v + 14. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 3, 10, 21, 36, 55, 78?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = f, 4*f = 10 - 26. Suppose -w*i - 2*m + 105 = 25, -70 = -3*i - 4*m. Calculate the lowest common multiple of i and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhszhyyzzysyyysy. What is prob of picking 2 s, 1 y, and 1 h?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 11*t**2 + 14*t - 3. Calculate the remainder when n(10) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -253*o - 749. Calculate z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3558*((-1)\/(12\/(-100)) - 9).\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187539 is divided by 302.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 41*b**2 + 597. Determine d(0).\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 54. Let t = 6 + -2. Calculate the remainder when 59 is divided by (30\/21)\/(t\/o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(3) - sqrt(3)) + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133809180*p**2 - 7944060*p + 8 wrt p?\nAnswer: 267618360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*r = 6, v + 13 = r - 3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.5, -40 in descending order.\nAnswer: -0.4, -0.5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {f: 2, m: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1020*l - 2358. Is 46 a factor of d(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 - 2630*b**3 + 409565*b**2 - 16758360*b + 203011920 = 0. Calculate b.\nAnswer: 27, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12838*a - 256711. Determine o(-20).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1517)\/123 + -1 + 0 + 14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*j - 5*j + 88, 3*y - 57 = -2*j. Let t = -4091 - -4105. What is the greatest common divisor of t and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -0*d. Let v be ((-176)\/36)\/d + -1. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 23\/(-3)*(-15 + 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -t - 2*t - 7, 3*i - 1 = 5*t. Let x be (-8)\/(-64) + (-63)\/i. What is the highest common divisor of 88 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 542926.3ms?\nAnswer: 542926300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqooqqqqq. Give prob of picking 2 o and 1 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = u, -3*u + u + 11 = -l. Calculate the highest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 0 + 0 + (-3 + 0 + 2)*(-14 + 22 - 165)*(-7 + 3 + 1)*(3 - 1 - 3)*(-2 + 2 + 5*u).\nAnswer: 2354*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 != -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**4*o*(o**1*o)\/o*o**(-6\/11)*o**(7\/4) assuming o is positive.\nAnswer: o**(9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/35*(-45)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 79 = 57. Let v = c + -74. Let r be (v - -3)\/(-1*2\/6). Which is smaller: 19\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(66\/(-20))\/(-11).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clhc when four letters picked without replacement from htlclthhthc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 579*p**2 - 291174*p + 291174*p + (p + 0 + 0)*(4*p + 0*p - 2*p) + 4*p**2 - p**2 - 2*p**2 + p**2 - 2*p + 2*p.\nAnswer: 583*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((26594*3\/(-3870) - (-148)\/(-370)) + 8).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8 - 13*m + 52*m - 9*m + 15*m - 11*m. Let x(t) = -13*t + 3. Let u(n) = -3*b(n) - 8*x(n). Let i(s) = 5*s - 10. Calculate i(u(f)).\nAnswer: 10*f - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*f - 232*f + 465*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 7*l - 8. Suppose 5*g - k + 10 = 0, -5*g = -3*g + 2*k + 16. Let v be t(g). Suppose 16 = 3*c + v, 5*b - 5*c = 75. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11171?\nAnswer: 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:48 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 2*k)*(2 - 2 + 2*k**4) + (-2*k - k**2 + 2*k)*(k**3 + 0*k**3 + 0*k**3).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, and 1 l when three letters picked without replacement from nnnntnnlmnndddninn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9550 and 1288?\nAnswer: 6150200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/1)\/(-4 + (8 - 3)). Solve -9 = 3*y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)\/u*u*u*u**(4\/7)\/u)\/((u**(-3\/2)\/u)\/u*(u*u**(1\/2))\/u))**35)**(-6) assuming u is positive.\nAnswer: u**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/7 - 6*m**3\/7 + 8*m\/7.\nAnswer: 2*m*(m - 2)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 78062a6?\nAnswer: -780629a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.5. Let y = 180.4 + -2.4. Let n = y + -178.5. What is the smallest value in -6, n, f, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 2 - 17*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/90 - y**4\/36 - y**2\/2 + 4*y. Let n(o) be the first derivative of f(o). Find z, given that n(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:31 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2661 divided by 1.\nAnswer: 2661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1298033\/4 greater than or equal to -324508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 - 3. Suppose 0 = -y - 5*c + 27, -5*y = -2*y - 2*c + 4. Suppose -18 = y*i + i. Is q(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (87\/21 - (-5)\/(-35)). Let h be 94\/18 - (-6)\/(-27). Solve 3*b**5 - b**5 + b**h + b**g - 4*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.4, 45\/7, -0.2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1854 and -35\/2406492.\nAnswer: 2406492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*a - 11*a. Solve m - 2*y - y - 9 = 0, -a*m + 9 = -3*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, -16, 2, 11 in descending order.\nAnswer: 11, 2, -2, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 7*a**2 + 3*a - 1. What is the tens digit of l(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(2) + -5 - (sqrt(20)\/sqrt(250) + 5).\nAnswer: -10 + 14*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133305579.\nAnswer: 3, 6997, 149269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156714 - 16140 = -595*a + 3017*a - 72562 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c - f - 66, 2*c + 157657 - 157629 = -2*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 10) in base 3?\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = -4*m, -m = -33*c + 31*c - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 146 + 239. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2.1 (b) -3\/7 (c) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10912, 21855, 32798?\n\"Answer: 10943*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 0. Let y = 17 - p. Let d = -12 + y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = 4. Let q(d) = -d. What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 0.5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**3 + 4131*n**2 + 411*n - 825. Calculate f(-413).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 2823 - 5887 = 0. Is 67 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - 0.2. Let n = k - -1.5. Which is the biggest value? (a) 2\/3 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:26 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1025 and 3475?\nAnswer: 142475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 18.62216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/(270\/36 - 6). Which is the third smallest value? (a) n (b) 0.4 (c) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-100)\/36) + 1216\/(-684). Let x = -54 - -86. Sort x, -4, d in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 1. Let g be l(1). Let o = 19 - g. Suppose -t + 2*t = o. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*x + 29, x = -0*x - 3. Let a = f - -3. Let l(r) = 81 - 95 - 3*r - 5*r. Let h(s) = -3*s - 5. Calculate a*h(k) + 4*l(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/(-9))\/(10\/45). Which is smaller: c or -269\/4?\nAnswer: -269\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) + 2720\/(-90). Let p = 34 + b. Suppose -3*u = -p*y - 153, 2*u - y = 4*u - 102. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/2 - 1407*b**3 - 8478*b**2 - 16980*b - 11328 = 0.\nAnswer: -2, 944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/39*(-624)\/(-80)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3381 and 22\/9.\nAnswer: 10143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 38, 8, -44, -124, -238, -392, -592?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-6 + 1 - -39) + 4 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*w - 3. Let h(r) be the first derivative of -5*r**3\/3 - 3*r**2\/2 - 10*r - 5. Let k(u) = -u**2 + u - 1. Let s(t) = h(t) - 4*k(t). Determine s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259776282 divided by -2843?\nAnswer: 91374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7274625?\nAnswer: 3, 5, 19, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -454*z**2 - 3177*z + 11. Determine r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*k - 22*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/70)\/((-1)\/7). Let l(i) = -i + 4. Let z(v) = -v + 5. Let y(w) = -4*l(w) + 3*z(w). What is y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6638644?\nAnswer: 2, 1659661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.435 - -0.435. Let k = 1 + -1. Which is the second smallest value? (a) -5 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*p)*(0*p - 7*p - p + (0*p - p + 0*p)*(-5 + 2 + 4)) in the form h + t*p + a*p**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/(-4935))\/((-8)\/(-42))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021270114 to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7046*p = -2*l - 7047*p + 2, 0 = -4*l + 4*p - 20. Let m = 9.09 - 9. What is the second smallest value in -3, m, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b60578 + c?\nAnswer: 4b60587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129, 1380, 1631?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 0.95. Let m = -3\/251 + 565\/5271. Which is the third biggest value? (a) m (b) -3 (c) -3\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6)*6\/4. Let p = b + -2. Let s be 10 - ((-3)\/3 + p). Solve 2*v - s = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 - -232?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3753616, 3753626, 3753650, 3753694, 3753764, 3753866, 3754006?\nAnswer: 3754190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 2*a - 2. Let i(w) = 7*w + 2*w**2 + 2*w**2 - 64 + 58. Give 2*i(k) - 7*p(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 256 = 4*o + 240, 0 = 3*o - p - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*s + 2*s, -3*i - 2*s = 0. Suppose i = -5*q + 1996 - 401. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32384 and 162800?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20.5 in -2\/5, 0.1, -33, -3\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142601211\/154 + -925941. Let s = 94483\/7 + -13455. Let c = s - z. What is the common denominator of c and 17\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27279 and 19485?\nAnswer: 136395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -361961000 to the nearest one million.\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*i - 143, 2*i - 4*b = i - 50. Let k = 66 + i. Find the third derivative of -4*g**3 - 6*g**2 + k*g**2 - 7*g**3 wrt g.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1210, -1231, -1254, -1279, -1306, -1335, -1366?\n\"Answer: -t**2 - 18*t - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/436 and -47\/40.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9\/13 (b) 2 (c) 0.8 (d) 2\/5 (e) 26 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 60*s + 582. What is the smallest common multiple of 130 and n(27)?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1656119 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -116, -274, -506, -818?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*k = -125*k - 1008. Let i(j) = 3*j - 9. Let m be i(6). What is the greatest common divisor of m and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8 + -0.8. Let p = 535654.3 + -535654. Let f = 0.7 - 3.7. Which is the nearest to -3? (a) n (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 267? (a) 4 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + 0.03. What is the smallest value in 1\/6, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + g + 67 = -3*g, 5*a - 335 = -4*g. Let t = 229 - -111. Calculate the remainder when a is divided by -12 + t\/30 + 32\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = 3*w - 367. Let l = 15.6 - 16. What is the fourth biggest value in l, -1\/7, -6, w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 61220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005696 a multiple of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500134 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(x**3 - 2*x**3 - x**3) + 3*x**3 - 48*x**2 + 48*x**2 + 40*x**2 - 40*x**2 - 24*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22300*-0.26.\nAnswer: -5798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(1\/2 - 0). Suppose 0 = -5*n + r*o + 87, 5*n - o - 79 = -0*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2265887?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i - 15. What is the remainder when 87 is divided by f(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y - 10*y - 39*y)*(0*y**3 + 2*y**4 + 0*y**3 + (y - 4*y + 2*y)*(-y**2 + y**2 - 2*y**3) + y**4 - 2*y**4 + 6*y**4 + (-4 + 4 + y**3)*(4*y - 2*y - 3*y)).\nAnswer: -288*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1248041707?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48842a - -20?\nAnswer: 48844a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-4)*((-2288)\/80 + 31)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106128262433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1117177 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 28199563*y + 1 - 2 + 28199601*y + 2*y**2 + 1.\nAnswer: -3*y**2 + 38*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 216. Let w = 120 - k. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14311006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - ((-144)\/40 - 8). Which is the closest to -2? (a) -0.3 (b) l (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 26. Let d = -61\/114 - -2\/57. What is the closest to 0.3 in l, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 34. Let v = 36 + j. Let o = -12 + 48. What is the lowest common multiple of v and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 0.3 (b) -8\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, 34, 139, 282, 475, 730, 1059, 1474?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, 0.03, -11382?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g + 75*g + 13*g + 7319 = -10823 for g.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -14189.8?\nAnswer: 851.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.33674 kilograms?\nAnswer: 9336740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2912 divided by 2\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 5 + 11 + 3)*(-3 + 23 - 15*h - 38) to w*h + r and give r.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5050920 and 945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -1\/48*b**4 + 1\/2*b**2 + 0*b - 1\/240*b**6 - 1\/60*b**5 - 1 + 0*b**3. Let j(g) be the second derivative of k(g). Factor j(y).\nAnswer: -y*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18370 and 880.\nAnswer: 146960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -2. Let h = 27.06 - c. What is h rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135656 (base 8) to base 13.\nAnswer: 18b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*v**2 + 108*v**2 + 102*v**2 + 127 + v - 342*v**2.\nAnswer: -16*v**2 + v + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -15, -i - 4*a - 25 = -a. Let l be 3 - (70\/(-1) - 1). Let f = l + i. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:58 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0887, 0.2, -35, 7, -4 in increasing order.\nAnswer: -35, -4, 0.0887, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 1. Let v(n) = -148*n - 71. Let k(m) = -2*q(m) + v(m). What is the first derivative of k(h) wrt h?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - s + 10 = b, -4*b - s = -34. Let r = 14 + 24. Suppose b*k - r = -6. Sort -1, 5, k in ascending order.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/4 - 3561*a\/2 + 14260 = 0.\nAnswer: -7130, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(10017\/(-2502) - -4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t - 1. Let x be w(4). Let p be (-4*(-5)\/(-40))\/((-6)\/(-4)). What is the nearest to -3 in x, 0.1, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9756*u + 15675*u - 7534*u as r + b*u and give b.\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (108\/15)\/(-6)*-5. Suppose -8 = -x*d - 2. Let k be d\/(-6) - 4\/(-24). Solve k*t = 3*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 30*o - 209. Let i be p(12). Solve i*a - 424 = -396 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 712732934 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352944.\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (0 - 1))\/(-2). Suppose 3*y - 56 = -4*d, k*d = -5*y + 2*d + 128. Suppose -15 = -2*s + 3. What is the remainder when y is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22110 (base 3) to base 11.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -2. Is 4 a factor of ((-11)\/(-5))\/(1\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q = -r + 258, 4*q + 4*r - 200 = 0. Suppose -8*b = -q - 36. Calculate the highest common factor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21723000 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -4, -8, -14, -22, -32, -44?\n\"Answer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171518, 343055, 514592, 686129?\nAnswer: 857666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(0*j - j + 5*j + (11 - 6 + 6)*(-3*j + 5*j - 4*j) - 6*j - 5 + 5 - 1 + 1 + j).\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10799 = -18*p + 33371. What is the highest common divisor of 171 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -233, -359?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6641 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Let b = q + 2. Suppose 0 = -3*j - 2*j + 10. Which is greater: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -93, -141, -191, -243, -297, -353?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 7. Let k be j(11). Let w be ((-216)\/(-40))\/(2\/20). Calculate the greatest common divisor of w and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184213887 to the power of 1\/2, to the nearest integer?\nAnswer: 13573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 45720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101010000 (base 2) to base 6.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9791*p - 2 + 3 - 1 + 1739*p as l + j*p and give j.\nAnswer: 11530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 135550?\nAnswer: -135545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9311 and 5140.4.\nAnswer: 4786.22644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -581, -301, 103, 631?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -11*c + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 3*d + 2. Let w(k) = -k**2 - 2*k + 1. Let i be -4 + 4 + 14\/(-105)*-15. Give i*p(f) - 3*w(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90639, 181342, 272045, 362748, 453451?\n\"Answer: 90703*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 + 8*w - 7. Let c be h(5). Suppose 0 = -0*b - b + 4*t - 6, 4*b + 5*t = -3. Let s = c + b. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71\/120 - 3\/40. Let x = 0 - s. Factor 2\/3 + x*l**2 - 4\/3*l.\nAnswer: 2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 4, s: 1, o: 2, w: 3}. Give prob of sequence owos.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8682 + -8682. Let c(x) be the third derivative of 1\/480*x**6 - 1\/120*x**5 + 1\/12*x**3 + 7*x**2 + k + 0*x - 1\/96*x**4. Let c(h) = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/7814906 and 61\/62436?\nAnswer: 46889436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49\/4 + 137\/12. Which is the second smallest value? (a) 0 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000861837 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*z + 64*z + 63*z - 287*z + 59*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -43, -45, -47?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 31 = 5*y + 6, -5*k + 25 = 0. Let i(a) = -a**3 + 2*a**2 + 3*a. Let h be i(y). Let w be 2 - 3 - (0 - 3). Solve -w*o + 5*o - 15 = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 242. Let p = y - 88. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14397, 14519, 14731, 15033, 15425?\n\"Answer: 45*k**2 - 13*k + 14365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441 + 14. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2819*c**3 + 2630*c**2 - 10*c + 3. Let x(d) = 1409*d**3 - 1317*d**2 + 4*d - 1. Let r(y) = 2*v(y) + 5*x(y). Find the third derivative of r(f) wrt f.\nAnswer: 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3789*s**2*w**2 + 3*s**2 + s*w**2 - s*w + 7785*w wrt s.\nAnswer: -7578*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11610161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*l - 236, -x - 2*x = 4*l - 140. Let w be -5 + 3 - 12\/(-2). Suppose 0*y + x = w*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485 or -486?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -336 + 529. What is the remainder when 201 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2497*s + 2509*s - 2302 - 1044 = 5484*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let t(j) = -j**3 - 4*j**2 - 6*j - 7. What is the units digit of t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -20*q - 48. Let y be h(-6). Suppose -168*i = -180*i + y. Solve s + s + 5*w - 15 = 0, -2*s + 4*w = -i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h**3 - 18*h**2 + 64*h - 65. What is f(2)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13e443 + 4?\nAnswer: 13e447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*18\/(-72) - 1\/(3\/12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 + 8*j**3 + 3*j**4 - 2*j**4 + 2*j**2 - 5*j**4.\nAnswer: -4*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 + 8*s + 13. Let x be d(7). Suppose -3*g + x = 7*g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - -16) + 18\/3. Solve 0 = 2*t - l + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**3 - 123*j**2 + 3 + 128*j**2 - 4*j**3 wrt j.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.1 - 843.1. Let v = o + 829. Which is the nearest to 2\/9? (a) -1 (b) 3 (c) 0.5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3172 and 126441474.\nAnswer: 126441473.6828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281984668 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29523692 greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8114.\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.744 - -53.744. Sort -3\/4, -0.2, 0.5, a in decreasing order.\nAnswer: a, 0.5, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 11 - 9 = -5*k, -2*k - n - 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20 > -1069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 2*s**2 + 2*s + s + 2*s in the form g*s + b*s**2 + k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 + 175. Let g = 88 + o. Let l = 86 + g. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2)\/sqrt(4) + ((-3*sqrt(19) + 3)**2 - sqrt(19)).\nAnswer: -21*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 55*g - 36. Let c be k(-13). Let h = 4 - 3. Let l be c + 0 + -1 - (-1 + h). Solve 3*z = -l + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -21*v + 43. Let z be s(-11). Suppose 268*r = z*r - 55866. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -609, -935, -1267, -1605?\n\"Answer: -3*k**2 - 317*k - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, -0.42, -4, 18\/25?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -23. Let m = -292.23 - -295. Let u = -0.23 - m. Which is the smallest value? (a) h (b) u (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1287*2\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 21446 = 144796. Is 4\/22 - (m\/(-22) + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/11 and -101\/1120616.\nAnswer: 12326776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.32 - -0.32. What is the second smallest value in -8, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3912639065 and -28.\nAnswer: 3912639037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10043)\/(-2530) - 4)*3310\/(-13902)?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.200779 rounded to 2 decimal places?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(0 - 2*u + 0)*(101 - 21*u - 101)*((-4 + 0 + 2)*(1 + 1 + 0) + 1 - 1 + 1 + 0 - 2 - 6).\nAnswer: -924*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6710184 rounded to one dp?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035030681 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/19))\/(v*v**(2\/7)*v))**(5\/17) assuming v is positive.\nAnswer: v**(-925\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -13*q**5\/60 + q**4\/8 - q**3\/2 + 127*q**2. Let d(x) = x**2 - x + 1. Give b(h) + 3*d(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 0.3, 35843, 3, -3\/5, -0.4, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lflf when four letters picked without replacement from flfffffflf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-4*r + 4*r + r) - 23 - 11*r + 23 + (-6 + r + 6)*(4 + 1 - 1).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -9)\/((-1)\/4). Let a(n) = r*n**2 - n + n - 34*n**2. Let w(o) = -2*o. Determine a(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x**3 - 3*x**3 + 44*x**3 - 117*x**3 + 1 as j*x**3 + d*x**2 + w*x + q and give j.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) -3 (d) 1045464\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/3 + 254*a**2\/3 + 7936*a\/3 - 8192\/3 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7 - -6) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 p when three letters picked without replacement from sgwpzpepggz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.079 + -0.079. What is the third smallest value in -3\/5, 1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 272*v**2\/9 - 1162*v\/9 + 980\/9 = 0. What is v?\nAnswer: 10\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -349 * -26\nAnswer: 9074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 3*d - 2)*(-2*d**3 - 12*d**3 - d**4 + 3*d**3).\nAnswer: -2*d**5 - 20*d**4 + 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -13. Let r = 8 + -6. Let u(l) = -l**2 + l**v + r*l**2. Let q(p) = p**2. Give q(u(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 8 = 0, 2*s - q - 132 = 0. Suppose -s = -i + 3*i. Calculate the common denominator of ((-14)\/8)\/((-5)\/36) and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1414652808 + -16028016302487\/11330. Let i = 42536411\/515 + -82595. Let o = i + t. Calculate the common denominator of 65\/2 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 22, 43, 84, 151, 250, 387, 568?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**3 - 20*l + 104. Let n be q(7). Let g = n + -14128\/7. Sort 2, 0.1, -4\/3, g in descending order.\nAnswer: g, 2, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5138 - -10620056\nAnswer: 10614918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2057 - 1986. Solve -f = 30*n + 139 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12969583 rounded to three decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71405 - 1181 = 2135*r - 126196 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477365.\nAnswer: 5, 7, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 19. Let v(r) = 2*r**3 - r**2 - r + 1. Let b be v(2). Let l = b - 6. What is the remainder when w is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 6. Let l(c) = -2*c - 13. Suppose -2 = -o + 1. Determine o*l(m) + 7*k(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 854543 at most as big as 854544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4829889084 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9514, 3\/4, 895?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -1 - (20 - (12 - 3))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/1127008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -4) + -2 + 8. Suppose -u + 1 = -r, -r + 3*r = 3*u - p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 10:29 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 134.7, 3\/2, 8\/32251, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 6:13 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54090 and 2025?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Suppose 0 = -904*h + 886*h. Solve 2*g - 5*b - r = -3, 4*g - b + 4 = h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14 - 19) + 2\/((-48)\/(-315)) and -59\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4170159191 to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - f + 1. Let v(q) = q**3 + 6*q**2 - 16*q. Let u be v(-8). Let m be g(u). Solve 5*o = 2*w + 9, 3*w - 4*o - m = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/((-1)\/5). Let x(s) be the first derivative of f - s - 1\/2*s**2. Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l + 46728. Let n = -5581 - l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(306))\/(sqrt(2) - sqrt(16)\/sqrt(2) - sqrt(2)) + 5)*3*-3.\nAnswer: -45 + 27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30436055 and 4588350.\nAnswer: 913081650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, r: 8, i: 4}. What is prob of picking 2 r and 2 j?\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 + 2*l + 6. Let o = 22 + -12. Suppose -3*v - 3*y + o = -7*v, 4*y + 4 = v. Calculate the remainder when s(v) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8458, 0, -2, -4.\nAnswer: -4, -2, 0, 8458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*-2 - 0 - 0. Suppose -51 = -8*b + 5*b. Let l = n + b. Solve 4 = -f + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((153\/12)\/17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**3 - 2*z - 428.\nAnswer: 15*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 - 31 = 0. What is the units digit of s\/3*(-12)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12275714?\nAnswer: 2, 11, 557987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*1*16\/32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229230125?\nAnswer: 5, 17, 107873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 2 - (-7 + 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 332?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6232356\/1449*(-2 + (-3 - -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3456 and 93168.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9453 - 9434. Calculate the remainder when 867 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1080141 - -46.5878859. Let q = u + 1.3101. Let c = q + -48. What is c rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 4:18 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*s = -10, 2*s = -r + s + 10. Let o(i) = i - 1. Let j(t) = 2 + 8 - 11*t + 3*t. Let g(d) = r*o(d) + j(d). Let n(z) = -2*z**2. What is g(n(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/9))\/i**(-10\/9))**(-48))**15 assuming i is positive.\nAnswer: i**(-1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 4*h - 4, -4*h = -g - 10. Let v = -0.14 + 0.04. Let y = -1.1 - -0.1. Which is the closest to v? (a) y (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/8 - (-3)\/(-2). Suppose 5*p = u*p - 2499992. Suppose 5*a - 2*q - p = 2*q, -a - 3*q = -250003. What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/105 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1313168, 2626327, 3939502, 5252699, 6565924, 7879183, 9192482, 10505827?\n\"Answer: s**3 + 2*s**2 + 1313146*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7320073)\/(-59) - 380\/11210 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-45) + 4\/(-18))\/(225\/(-135)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23038937 or -23038985?\nAnswer: -23038937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 0*y**2 + 3*y**2)*(-4 + 1 - 3)*(3*y**2 + 0*y**2 - y**2).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-65))\/(-2 - (-66)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let r(g) = 5*g + 2. What is -r(z) + 2*x(z)?\nAnswer: -7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 5, 1\/127230, 1\/10, -6, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 + -2.79. Which is smaller: -2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqjqjjccqmmm. Give prob of sequence jmjj.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:57 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 57*f**2 - 156*f**2 + 112*f**2 + 0.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931673 is divided by 32739?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.026 + 0.026. What is the second biggest value in k, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 41*t + 1564. Does 102 divide o(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(99)\/sqrt(44)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 4*g. Let p be o(-2). Suppose p = -8*f + 36 + 148. Let q(b) = b**2 - b + 3. Let r be q(-3). Solve -4*u + f = h, r + 14 = 4*u + 3*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1)\/(-2)*-1. Let d be t\/(-1) - (-6)\/2. Solve 0 = r - d - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220929 to five decimal places.\nAnswer: 0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -24 - (0\/(-2) + 4). Let v = 22 + c. What is the units digit of 2\/4*2 - v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*f*s**3 + 4692*b**2*f*s**2 - 613*b**2 - 3*b*s**3 - s**2 wrt f.\nAnswer: -b**2*s**3 + 4692*b**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3277.000001074 - -3277. What is j rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7))\/y)**44\/(y\/(y*y**1)*y)**(4\/3) assuming y is positive.\nAnswer: y**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79936 by 774.\nAnswer: 39968\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113687\/277 or -2\/15?\nAnswer: -113687\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000975957282 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21323 (base 5) to base 10\nAnswer: -1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6521 + -2835. Suppose -4*o = 734 - u. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 788 = -12*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + 2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 730568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 16350000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 20 = -11*q. Suppose -q*a = -3*p - 2*p - 6, a + 3*p = 3. Suppose -x = a*o - 75, -o + 0*x = -x - 29. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + z = -52, -40 + 14 = -2*w + 3*z. Is w >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 2. Let x(d) = -71. Calculate -4*f(r) - x(r).\nAnswer: -4*r + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16225 - -16222. Let p(u) = 2*u - 3. Let s(f) be the third derivative of -f**4\/8 + f**3\/2 + f**2. Let d(b) = -5*p(b) - 4*s(b). Determine d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r. Calculate the remainder when 0\/(-1) - (0 + -16) is divided by (r + 15)*(-10)\/(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from {j: 1, l: 1, k: 4, v: 2, d: 3, f: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*v + 542*v**5 + 3*v - 1924*v**5 + 11*v + 1186 - 604*v**5 wrt v?\nAnswer: -39720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0103 (b) 1 (c) -329\/3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1234 bigger than -1164956\/943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = 2*z, 0*z + 5*z - 5*w - 5 = 0. Let p be (-9 - (-4)\/(-5 - -6)) + 4. Calculate the remainder when z*(9\/3 + p) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.2934?\nAnswer: -4.2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:20 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18*l - 4. Calculate i(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 277545 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8895 + -6175. Suppose -8*v - q = -22312. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/7 + 52*c\/7 - 544\/7 = 0. Calculate c.\nAnswer: -34, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (48 - ((-6 - 11) + 29))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/11)*(r*r*r**(-12)*r)\/r)**12 assuming r is positive.\nAnswer: r**(-1140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:08 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 139, 211, 281, 343, 391, 419, 421?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 plus 6679?\nAnswer: 6678.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w + 18. Determine m(-15).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*m = -32, m + 3 = 2*x + 1. Let v(p) = 6*p**2 - 7*p**2 + 2*p + 1 + p**2 - p + 3*p**2. Calculate v(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5 + t + 84 - 29 - 20. Let k be w(-23). Solve a - k = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 0 + sqrt(13) + -2))**2 - (sqrt(325) + 1 + sqrt(325) + 0 + 3)**2.\nAnswer: -380*sqrt(13) - 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*d + 16, -24*x = -28*x + 4*d. Let g = -0.47 + -3.33. Let r = -4 - g. What is the closest to r in x, 2\/19, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 8*y - 3*y. Let l be (y*1)\/(6\/(-15)). Let p be -1*l*(-1)\/2. Calculate the highest common divisor of 70 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 309281.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, 2349 = z + 5*i - 0*i. What is the remainder when z is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n**3 - 9*n + 43. Let u(v) = -6*v**3 + 2*v - 11. Let q(r) = 2*g(r) + 9*u(r). Differentiate q(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) - (-1311388)\/660. Let o = i - 1992. Calculate the common denominator of 79\/18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/28)\/(1\/2*(-45)\/(-60)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -976 divided by -61\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30834847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -164.54.\nAnswer: 493.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 + 2*o + 7. Let t be p(-5). Suppose 0 = 20*g - 222 + 2362. Let y = t - g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 4, m: 3, h: 2, x: 3}. What is prob of picking 1 h, 1 x, and 1 s?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 5 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*y*z**3 + 8*z**3 with respect to y.\nAnswer: -172*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108243881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7708766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.02 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t**(2\/7)\/t)\/t*t*t\/t**(-18))\/(t**(-33))**4 assuming t is positive.\nAnswer: t**(1066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61876979 to the nearest integer?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/12*56\/(-105). Let q = -0.21 - 1.69. Let o = 3 + q. What is the third smallest value in 0.5, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -17*(3 + -74) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 8. Suppose t = s - 3*t - 20, s + 5*t + 25 = 0. Suppose 0 = -s*v - 3*v - 27. Let c be n(v). Which is bigger: -1\/5 or c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3 - 3)*(-1 + 0 + 3)*(8 + 0 - 4)*(2*j - 4*j + 3*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -4*n, 2*c - 2*n = 8 - 0. Find w such that 15*w - 19*w + w**3 + 8*w**2 - 5*w**c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012945663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6992714 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7837895305 + -9910.\nAnswer: -9905.2162104695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14889?\nAnswer: 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1748*o**3 + 5913*o**2 + o + 119210294 wrt o?\nAnswer: -5244*o**2 + 11826*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1464444 and 342?\nAnswer: 1464444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5958?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 1 = -42*b - 3*g, -g + 11 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-3 - -7))\/5. Which is the nearest to l? (a) -2 (b) 1\/5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -45 - k + 1 + 10*k. What is the remainder when 129 is divided by b(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -4*i - 11*s + 228, 0 = -2*i + s + 118. What is the smallest common multiple of i and 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/2 - 2*y**3\/3 + 2*y - 601. Let k = -8 - -6. Give t(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61.647 and 268.\nAnswer: 206.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 3*k**2 + 2*k**2)*(-9*k + k**3 + 0*k**3 + k**2 + k**2).\nAnswer: -2*k**5 - 4*k**4 + 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1) + (1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161711329 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 773197 and 3.3.\nAnswer: 773200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 26*m**2 + 4*m - 18. Calculate d(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 464 - 460. Which is bigger: s or 33\/7?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -d + 2*d + y, 5*y = 2*d + 72. Let r be d\/12 - (-6)\/36. Is (-79 - 2)*(r - -1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 3 + -5)\/(3\/(-9)). Let n be a\/((-12)\/20) + 9. Solve 6 = n*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 9842367?\nAnswer: -314955744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*o - 4*x + 14, 3*o + 2*x - 13 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4*m - 20, -f + 3 = 4*m + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 18288.\nAnswer: 640080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 988*h - 27394. Give w(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 213*i**2 + 45369*i + 3221199.\nAnswer: (i + 213)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 11*u**2 + 9*u + 8. Let t be 1*10\/(-3)*(-5 + 2). Give h(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 37 = 5*a, -a = -1 + 6. Suppose 5*r = 10*b - 5*b, -2*b + 3*r + 5 = 0. Let w be (-6)\/((-3)\/6 - b\/(-5)). Solve d - 20 = -w*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -112.468. Let y = 0.068 - j. Let c = y - -3.4. Sort c, -3\/5, -0.5, 3 in increasing order.\nAnswer: -3\/5, -0.5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 21. Let m(n) = 105*n**2 - n. What are the prime factors of m(u)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*m - 61*m + 17256 = 0 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*n + 40. Suppose -4*u - 16 = -n. What is the derivative of 5*l + l - l + 0*l - u wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, -29, 2, 5 in decreasing order.\nAnswer: 5, 3, 2, -19, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/540 + s**3\/2 + 3*s. Let t(x) be the second derivative of q(x). Solve t(j) = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.06 + -39. What is the third smallest value in 4, g, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Is 1 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 20. Suppose 5 = -4*a + 5*s, 0*a - 3*a + 5 = d*s. Solve a = 4*q - 8 + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(162) - (3 + sqrt(162))) + sqrt(162)) + -1)**2.\nAnswer: -252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 24 = -t, 3*h + 17 = 4*t - 4. Suppose 5*j = 25, 5*k + t = 5*j - 6. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 69*i**3 + 24*i**2 - 4*i + 49. Is c(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.3. Let z = -4.8885 - 0.1115. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 1131\nAnswer: 83\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-26)*(-21)\/(2016\/208).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - -12. Let d = 88 - f. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031000000 (base 4) in base 14?\nAnswer: 82d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 748 + 1072 = -115*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81.30229 years?\nAnswer: 8.130229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*f + 18 = 0, x + 3*f = -x - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/3 + 6*s + 17\/3 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104.3 + -99. Let j = v - -6.7. Which is the nearest to j? (a) 4 (b) -2\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4652 - 4652.061. Which is the third smallest value? (a) -5\/2 (b) k (c) -2\/13 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -704*l**2 - 17*l - 9. Let x be r(-7). Let u = x - -18129. Let c = -4857 - u. What is c rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/2 - -5. Let o = 325\/97 - 2469\/679. Sort -0.3, o, -15, s.\nAnswer: -15, -0.3, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 96. Let d(i) = i**2 + 6*i - 95. What is 2*d(n) - 3*x(n)?\nAnswer: 2*n**2 + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i - 3*i + (-5*i + 5*i + 3*i)*((-1 - 5 + 4)*(-8 - 4 + 6) - 1 + 0 - 1).\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206669178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22462620 to the nearest integer?\nAnswer: 4739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 + 68*y**4 - 57*y.\nAnswer: -20*y**3 + 816*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/(31\/(-248)). Let f(s) be the third derivative of -1\/30*s**5 + 0 + 0*s + 1\/180*s**6 + 4\/9*s**3 - 2*s**u + 0*s**4. What is d in f(d) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-152) + 1\/2*0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43592629\/3547 - 12290. Let u = 21239\/152521 - j. What is the common denominator of u and -10\/3?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 82 - 8*u)*(-3 - 2*u + u + 3*u) + (7*u - u - u)*(0*u + 0*u - u).\nAnswer: -21*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 13*g - 14*g + 38*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gki when three letters picked without replacement from {s: 1, i: 4, g: 1, k: 11, x: 1}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4*l - l**3 + (3 - 4*l**2 - 3)*(-l + 3*l - 3*l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1015 in 1\/9, -0.4, 1\/1909?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = -0*x - 3*x, -5*g + 29 = 4*x. Let t(r) = -r + 1. Let m be t(x). Solve 3*s = -m*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0, -2, 1, -35 in descending order.\nAnswer: 4\/3, 1, 0, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1844 - 3647\/75604. Let p = -45\/82 - o. What is the closest to p in 0.1, 4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 118*d**2 - 240*d - 240. Let m be a(61). Let x = -16 - -22. Let n be x\/15*10\/1. Solve -4 = f + v - 0, m*v = -f - n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200) - (-1 + sqrt(200) - sqrt(200))).\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3926221 and -0.036.\nAnswer: 141343.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 30. Suppose 5*x = 4*j - 6, -x + 3*j - 6 = f. Factor -2\/9*d**3 + 0 + 4\/3*d**x - 2*d.\nAnswer: -2*d*(d - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 + 0*o**4 - 2*o**4 + (-1 + 0 + 0)*(-71 - 2*o**4 - 16599*o + 0*o**4 + 16596*o) to c*o**2 + q + j*o**3 + m*o + w*o**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.1579564us to hours.\nAnswer: 0.000000002266099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005135 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 5631925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1027*z**2 + 535*z**2 - 3*z + 3*z - 897 + 490*z**2 in the form y + j*z + m*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 59 = 5*v, -68 = -4*f - 73*v + 77*v. Let n(a) = 6*a**2 - 27*a + 185. What is the units digit of n(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 16*r + 2*r - 176 = 0, 1247*b + 4*r + 37 = 1242*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 25584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/((-4391)\/35128)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v - 5724 = 5429 - 5758 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 559044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 1473808.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 34. Let h = q + 48. Suppose -h = -2*l - 2. Calculate the highest common factor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 60) + (-1 + 0 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4733? (a) 4 (b) -3\/4 (c) -0.088 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 2*n**3 + n**3 + (0*n - n + 5*n)*(-3*n**2 + 0*n + 0*n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 46*i**2 + 1. Calculate l(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(2\/1) + (22 - 20). Suppose -3*v + 8*v + 71 = f*x, -63 = -2*x - 3*v. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 7*h + 3. Let a(s) = -3*s**2 - 20*s - 9. Let x(j) = -2*a(j) - 7*u(j). Calculate x(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*j**2*l**3 - 9*j**2*l**2 + j*l**3 + j*l**2 + 34*l**3 + 99*l**2 wrt l?\nAnswer: -120*j**2 + 6*j + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let d = 1 + g. Solve h + s = -d, 12 = -4*h - s + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-98)\/4) - -1. Let f = 2 - 0. Which is greater: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*4\/20*865\/(-173).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 775 (base 8) to base 11\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2 - 2*n + 1. Let w be q(2). What is the smallest value in -0.3, w, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -3)\/3 - -3. Suppose 4*c - 10 = -3*k + k, -4*c = -l*k - 6. Suppose -166 = c*x - 4*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332210.88 rounded to the nearest 100?\nAnswer: 332200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 7. Suppose 2*g + 4*m - 28 = -g, 2*m - 2 = 0. Let t(j) = -2 - 3 + 1 + g*j - 7*j. What is -3*d(s) - 5*t(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 312352.\nAnswer: 3\/78088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 46*v**2 + 30*v - 170. Is 7 a factor of a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 7*l**2 - l + 4. What is w(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284621 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86115932?\nAnswer: 2, 7, 439367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 3*x**2 + x - 1. Let f be u(3). Let v be 84\/(-140) + 342\/70 + -4. What is the smallest value in -1, v, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -801 + 803. What is the smallest value in 11, 3\/4, s, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 - 6*w. Let i(a) = 2*a**2 - 2. Let z = -3 + 5. Let t be i(z). Let n(m) = -4*m**2 - 5*m. Give t*n(l) - 5*c(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 27*c - 45325 = -3*i, 3*c = -2*i + 30218. Does 90 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 266 = 1591*u - 1575*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = -2. Let h = k + 4. Suppose h*s - 4*i = 14, 0*s - 2*i = 4*s - 18. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23518\/35 - -672. Let v(x) = -x - 1. Let o be 1 - (-1 + -1) - 3. Let h be v(o). Are h and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 27. Let q = 136 - 98. Let s = f + q. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -36 - -32 - 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0351 (b) 0.3 (c) -5 (d) -9 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -13. Let w(s) = -s**3 + 7*s**2 - 5*s + 2. Let x be w(6). Is d smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bveuiix. What is prob of sequence ui?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 = 3*v, -3*z - 3*v = v - 26. Let u = -30821 + 30829. What is the second smallest value in -0.4, z, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284978*0.584.\nAnswer: 166427.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 21*s**2 + 15*s + 63. Let t be (-6)\/21 + (-48)\/(-21). Let w(g) = 3*g**2 + 2*g + 9. Let v(p) = t*f(p) - 15*w(p). What is the derivative of v(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(24)\/sqrt(2))\/(1*sqrt(864)).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6185559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/20*n**6 + 7\/4*n**3 + 3\/8*n**5 + 0 - 9\/8*n**4 + 4*n - 3\/2*n**2. Factor g(k).\nAnswer: -3*(k - 2)*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 9) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10\/((d**(2\/61)\/d)\/d*d) assuming d is positive.\nAnswer: d**(669\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (4 + -1)\/(8 + -9). Let z = k - -8. Let x(y) = 32*y + 3. Is x(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1253 + 11313?\nAnswer: 10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*j**4*z - j**3*z**3 + 42*j**2*z + j + 3*z**3 wrt j?\nAnswer: -1008*j*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 + 2 - (-5 + 7). Suppose p + 0*c = -3*c + i, p = c. Let 3\/2*t**2 + t**3 + 0 - 3\/2*t**p - t = 0. Calculate t.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -880\/7 - -126. What is the nearest to 0 in 0.1, -1\/2, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 5*b + 0*b)*(3 - 167 + 76 - 128)*(2 - 2 + b**3) to the form x*b**2 + a*b + m*b**4 + f + n*b**3 and give m.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 - 47*b**2 + 114*b**2 + 66*b**2.\nAnswer: 153*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.32 + -0.41. What is x rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 37 = -33. Let w = v + -24. Suppose -1 = j - 2. Solve -1 = i, 5*i = b - w + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.1 (b) 0.66 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.08 <= -3791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 4011*c**2 + 3*c + 4011 = 0. Calculate c.\nAnswer: -1337, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4981 divided by 1?\nAnswer: -4981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 48, 39, 26, 9, -12?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6414 = -294*d - 1382 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0537 - -1.1343. Let r = -0.888 + q. Which is the closest to -2? (a) 5 (b) 0.4 (c) -0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -8470623.\nAnswer: -8470618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*s**3*x + 132*f*x**2 - 286*f - 2*s**3*x**2 - 2*s**3*x + 609*s**2*x**3 + 2*s**2*x - 5*x wrt x?\nAnswer: 264*f - 4*s**3 + 3654*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n + 59. Let a = -8 - n. Solve -a*s + 3 = 3*c, s = 2*c - 9 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4237 > 417.72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**2\/2 + 14*m + 3. Let s be w(0). Let t be 16\/72 + s\/18. Do -1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/2 - 3\/(-6). Let n(f) = 7*f**2 + 4*f - 4. Let p(g) be the first derivative of -2*g**3 + 3*g + 14 - 3\/2*g**2. What is a*p(u) + 3*n(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1883*o**2 + 8*o. Let u(b) = -8*b. Calculate g(u(c)).\nAnswer: -120512*c**2 - 64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87616 (base 10) to base 8.\nAnswer: 253100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from roazxwr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thtl when four letters picked without replacement from lwlwlqhttddtd?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 13. Let j(u) = -2*u - 6. Let h(t) = -13*j(t) + 6*l(t). Calculate h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba8ec (base 16) to base 6\nAnswer: 24213404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -858, -853, -848, -843?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17834\/(-8) - (-126)\/(-168). What is b rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((4 - 0) + 123\/(-31)). Let q = 436 + r. What is the greatest common divisor of 102 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4176 and 319.\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475753641?\nAnswer: 3, 11, 14416777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose -5*z + 10 + 25 = 0. What is the remainder when z is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + 216 + -105 - (1 + -67 - 1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7722)\/(-55230) - 3\/21. Let n = u + -88069\/11835. Calculate the common denominator of 237\/21 + -1 + -2 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 0, 4, -14, -6 in ascending order.\nAnswer: -14, -6, 0, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*a - 4*n, -5*a + 5*n + 0*n = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 3. Let a = j + 9. Factor -a - 4*x**4 + 2 - 2*x**3 - 2*x**5 + 9*x**4.\nAnswer: -x**3*(x - 2)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35.715, -0.4, -0.14, -5\/3, -3.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 65*u**2 + u**3 - 68*u**2 - 6*u + 14 - 7 - 4. Let v(j) = -j**2 + j + 1. What is q(d) - 3*v(d)?\nAnswer: d**3 - 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let m(u) = -2*u**2 - 211*u - 261. Let i be m(-104). Which is the third smallest value? (a) 0.5 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - 26. Let m = 445 - q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3280 divided by -3.\nAnswer: 3280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 1:23 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 12*o**2 - 11*o - 5. Suppose 3*x - 47 = -11. Suppose -x*j + 17*j = -55. What is q(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 289, 287, 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2775 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 41 = 152*x - 149*x, -4*p - x = -87. Solve p*g - 848 = -1024 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 19*b + 1 + (-1 + 1 + 2*b)*(2 - 5 + 1) + 35 - 35 - 3*b.\nAnswer: -26*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -0.26. Let s = 17.348 - 17.348. Which is the closest to -2\/9? (a) v (b) s (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83773866 - 1?\nAnswer: -83773867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*j**4*t**3 - 434463*j**4*t**2 + 2*j**2*t**2 - 512*j**2*t + j*t**3 + 921*j*t wrt j.\nAnswer: -2136*j*t**3 - 10427112*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + m**5 + 3*m**3 + (2 - 2 + 2*m**2)*(4*m - 4*m + 2*m**3).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 + 11 - 36)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*r + 100*r - 115 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 + v. Let h(f) = -19*f**3 - 12*f**2 - 5*f + 61. Let y(c) = -h(c) - 6*w(c). Find the first derivative of y(l) wrt l.\nAnswer: 39*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 6\/13 (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*b - 39 = 0, 5*o = 5*b + 21 + 14. What is the remainder when 291\/9 - (-2)\/3 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/75)\/((-13)\/65)*1540\/(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (12 - 52) + (83 - 74)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -200, 10, 4, 1, -7 in descending order.\nAnswer: 10, 4, 1, -7, -89, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b - 1. Let p(k) = -2*k**3 - 3*k - 3. Determine 12*l(y) - 4*p(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 2*h**2 + 2. Let t = 3 + -1. Let i be s(t). Suppose -3*v + 4 = 13, i*a = -v + 1. Which is smaller: 3\/4 or a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -36, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1100)*1 + sqrt(1100)*-2*1 + sqrt(1100))**2 + -2*(sqrt(99) + -2 + sqrt(11))**2*2.\nAnswer: 64*sqrt(11) + 53180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -6868.\nAnswer: 37\/6868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f - 1. Let r(d) = 11*d**2 + 21*d - 26. Let j(i) = 6*c(i) - r(i). Factor j(q).\nAnswer: -5*(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 0 + 0*z**2 - 15*z**2 + 4 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 - 46*f**3 + 123*f**2 + 266*f - 344 = 0. What is f?\nAnswer: -2, 1, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(4382\/(-210336))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 140243 * 0.3\nAnswer: 42072.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -861 or -407156\/473?\nAnswer: -407156\/473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 18*v. Let t(b) be the second derivative of 2*b - 1\/50*b**5 + 0 + v*b**2 + 0*b**3 - 1\/30*b**4. What is r in t(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 66*x**2 + 357*x - 71. Give z(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2008152 - -34?\nAnswer: -2008118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 2. Let z be ((-1)\/2)\/(2\/(-4)). Let g be b(z). Solve -g*v = 2 - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*o, 5400 = n - 4*o. 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 d = -722 - -1058. Suppose j = c - 95 - 28, c + 4*j = 138. What is the highest common factor of d and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 95, 475, 1117, 2027, 3211, 4675, 6425, 8467?\n\"Answer: i**3 + 125*i**2 - 2*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - 22\/(-99).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/552 and 93\/184?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8 and 37\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 340. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7))\/(z\/(z*z**5*z)*z)*z**(-4)*z*z\/((z**(-3\/7)\/z)\/z)*z)**(-28) assuming z is positive.\nAnswer: z**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 + 4 = 0. Find the first derivative of d**2 + d**p - 3*d**2 + 8*d**2 + 11 wrt d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/16 and -133\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 3237, 7213, 12747, 19833, 28465?\nAnswer: 38637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003153 rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 - 9213\/11. What is the common denominator of s and ((-13)\/(-20))\/((39\/(-24))\/13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*-3*(sqrt(8) - -1*sqrt(8))*-6)**2.\nAnswer: -1036800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y**2. Let i(d) = -360914*d. Calculate l(i(r)).\nAnswer: -2214401561732*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (67 - 150) + -30 - -19?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41339946.\nAnswer: 2, 3, 1907, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/54666 and -85\/54?\nAnswer: 163998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4663023.291 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 182*k**2 + 21*k - 910. Let s be l(91). Is s bigger than 999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.123589 rounded to 1 decimal place?\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 k, and 1 p when four letters picked without replacement from etpkkttuuettktpe?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 37 = -3*w. Solve 3*c = c + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -215 + -1d9b9?\nAnswer: -1dbce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + p + 2. Let f(c) = 3*c**2 - 5*c - 7. Let y(q) = 2*q + 3. Let x(s) = -f(s) - 2*y(s). What is 4*i(n) - 7*x(n)?\nAnswer: n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1184 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 128\/352 - 556\/(-44). What is the highest common factor of 871 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4940 = 4*q - 2*c, 3*q - 4262 + 518 = -5*c. What is the remainder when q is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from {r: 6, o: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7360 - 160*b - 22094 + 7367 + 7368.\nAnswer: -160*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (48 + (-69 - 26))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 98, 148, 198, 248?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -2 + 21 + (-8 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpconrp. What is prob of sequence nog?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0 - -1)*1. Suppose -16 = -a*d - d. Solve 4 = -4*c, 2 = 3*r - d*r + 2*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y - 74293 = -5*v, 5*y = 2*v - 29724. Let k = v + -564615\/38. Let i = 4\/19 - k. Put 7, 1\/2, i in decreasing order.\nAnswer: 7, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20066 and 948.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6491.3 to the nearest one hundred.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from yygyyggggggy.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1a97?\nAnswer: -1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 - 1. Let m be u(-1). Suppose -m*j - 1 = -2*i, -3*j = 2 + 7. Let d be 14\/i + (-1)\/(-2). What is the nearest to -1 in -0.3, d, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 1. Let r be j(1). Is -19 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 593 + -585. Let i(t) = 4*t**2 - 6*t - 31. List the prime factors of i(a).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411060*s = 411228*s + 9072 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -510\/11, 1\/4 in decreasing order.\nAnswer: 1, 0.5, 1\/4, -510\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 35\/(-10))*-1. Let m be 1 + 0 - (1 + 0). Suppose 0*v + 3*v - 5*z + 21 = m, -z = -3. Is n at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Put -5, 3, t, 52 in decreasing order.\nAnswer: 52, t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 7*k. Calculate the remainder when 47 is divided by l(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22210201 (base 3) in base 16?\nAnswer: -1912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 8*j**2 + j - 9. Let q be a(8). Let z = -1 + 7. Suppose -z = -4*t + 6. Sort q, 0, t, -3 in descending order.\nAnswer: t, 0, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -737 + -2?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 5. Let w be r(3). Let q = w - 1. Let x be (-6 - -3) + (-6)\/(-2). Solve -2*h + 7*h = -2*b + q, 4*b + 5*h - 12 = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide (-1 - -666) + (0\/(-4) - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -616.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -11. Suppose -k = -6 + 8, -5*v - k + 13 = 0. Solve 0 = -l + g + 6, -v*l + g + t = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7138?\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000453303 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w - 8*w + 12*w to v + m*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 236, 483, 736, 995, 1260, 1531?\n\"Answer: 3*d**2 + 238*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 196 = -280 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5502.925 grams in tonnes?\nAnswer: 0.005502925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 6. Let y be o(4). Suppose 201 = b + y*b. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 41 + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0899543553 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6777 + 1475 = -241*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/3 (b) -1 (c) -4 (d) 0.5 (e) -0.0438\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*g - 36. Suppose g - 16 = -f. What is the hundreds digit of (-473)\/f - 10\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 9*z + h - 20 = -8*z, 4*z + 2*h - 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-210))\/((-6)\/(-63)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642933 take away -6.51?\nAnswer: -2642926.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z**2 + 5369*z + 16174. Give b(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 84 = 5*x. Suppose 8 = -0*f + 2*f. Calculate the least common multiple of f and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 55, 86, 141, 226?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895334459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 235 - (-16 + 108)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357, 736, 1073, 1356, 1573, 1712?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/2 - 31*s**2\/2 - s + 6. Let z be (105\/28)\/((-2)\/8). Let o be c(z). Is o less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -71*n - 1818. Let t be a(-26). Solve 42*g = t*g - 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 58. Which is greater: u or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(3\/((-9)\/(-6))). Suppose -2*n + 29 = v*y, -4*y + 3 - 1 = n. Let c = -44 - -46. What is the greatest common factor of c and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*k**2 - 51*k**2 - 55*k**2 + 167*k**2.\nAnswer: 248*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 71230*t**2 - 1268499452*t - 2536713992.\nAnswer: -(t + 2)*(t + 35614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 237. Suppose 5*u - 136 + 31 = 5*c, -5*c = 5*u - b. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/(24\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4. What is the smallest common multiple of h(-3) and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404900 or -404904?\nAnswer: -404900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0, -10, 1\/2, 3\/167, 5\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) 3 (c) -0.4 (d) -1 (e) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*b + 2*o + 11, 5*o + 5 = -4*b. Factor b*z**3 + 28*z**5 + 10*z**4 - 10*z**5 - 13*z**5.\nAnswer: 5*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 6. Let z(f) be the first derivative of 3*f**2\/2 + 2*f - 1. Let n be z(-3). Let r(o) = -o - 7. Let k be r(n). What is u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6429336 is divided by 549?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = -2*n. Suppose -5*h = -t - 63 + 13, -n*h + 65 = -4*t. Calculate the smallest common multiple of 10 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let y(f) = -4*f - 3. Let w(l) = 3*l + 4. Let g(u) = -3*w(u) - 4*y(u). Give g(x(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -28 + 0*j + j - j + 4*j. Let m be w(13). Suppose 2*g + 2*g = 4*z + m, 4*z = g - 9. What is the closest to z in 2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-114)\/(-33))*759\/138. Which is the closest to 1? (a) m (b) -3\/4 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*u - 171*u + 31*u**2 + 153*u**2 wrt u.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 7 + -11 + (-6)\/2. Let x be (6 - 0)*(q - 12\/(-9)). What is the greatest common divisor of x and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 207 (b) 30 (c) 13 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4676723 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -460, -461, -462, -463?\n\"Answer: -x - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 13*b - 103*b**2 + 639*b**3 - 13*b - 638*b**3 to k*b**2 + v*b**3 + x*b + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5565 - 63*r + 2775 + 34*r**2 + 2761 - r**3. Give p(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-30) - 4 - (7 + (-46)\/6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(704) + 0.\nAnswer: 4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -494, 4, 10, 0.\nAnswer: -494, 0, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000769788 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3 + 2*c**2 + 5*c - 21. Let w be p(-1). Solve 4*x + f = 14, -w*x = -f + 4*f - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-302)\/(-5) - 6\/(-225)*-15. Let y(f) = -f**2 + 7*f - 7. Let r be y(5). Let n(o) = u + o**3 + 4*o**2 + 0*o**r - 10*o**2 - 66 - 5*o. Give n(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116129398528 plus 138?\nAnswer: 138.116129398528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2681*r + 1960*r - 56238 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -617, -924, -1231?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3. Let j(u) = -u**3 + 7*u**2 - u + 3. Let x be j(7). Let r be (-2)\/(2 - (-26)\/x - -5). Give d(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 24. Let r(i) = 11*i**3 - 3*i + 4. Let a(j) = 21*j**3 - 5*j + 7. Let h(c) = l*r(c) - 3*a(c). Find the first derivative of h(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*w - 3725629*j + 77283101*w**2 + 8 with respect to w.\nAnswer: -j + 154566202*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759756354?\nAnswer: 2, 3, 7, 18089437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -100, -11, 1.6 in decreasing order.\nAnswer: 1.6, -2\/5, -2, -11, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*q + 2*q, 2*q + 6 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/12 + 11*w. Let i(v) = -v**2 - 5*v + 2. Let c be i(-5). Let p(t) = 2 - 4*t - c. Give z(p(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -40*i**2 - 2*i + 6. Let l(a) = 39*a**2 + 2*a - 7. Let p(r) = -2*l(r) - 3*w(r). Let x be p(3). Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcvv when four letters picked without replacement from {f: 1, t: 2, j: 4, c: 2, v: 5}?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28261568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-39)*78\/(-4). Let w = 15 + f. Let t = 50\/9 - 115\/18. Sort t, w, 1\/3 in ascending order.\nAnswer: t, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 149, 2, -8, 0.\nAnswer: -8, -3, 0, 2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/56)\/(322\/483*3\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 3, f: 1}. Give prob of sequence fii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -71, -75, -79, -83, -87?\n\"Answer: -4*o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*v + 672 = -893*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x. Let b be (-2)\/8 - 22\/8. Let g be (-1 - b)*(-5)\/(-5). Is x at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2 + i + 14. Let x be v(0). Calculate the highest common factor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -169 (c) 22.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -341 (b) 5 (c) -6.39 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*a**2 - 1093*a**2 - 260*a**2 - 147*a**2.\nAnswer: -1958*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13110 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/8)\/n**(-7)*n\/n**(3\/13)*n*n**(1\/9) assuming n is positive.\nAnswer: n**(8663\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 - (-2 + 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 7 in decreasing order.\nAnswer: 7, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**3 - 22*z - 253. Is m(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83 + 69*p**2 + 485*p**6 + 5*p**4 + 2*p - 70*p**2 - 53 - 2*p wrt p?\nAnswer: 58200*p**3 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -138394395189 and -0.02.\nAnswer: -138394395189.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -32, -48, -70, -98?\n\"Answer: -3*t**2 - t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89*(1 - 0) - (22 + -21). Let w = k - 35. Suppose -w - 367 = -5*i. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-33)\/99 - (-451)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 8*s - 3. Suppose y = 8 - 3. Let v(u) = 21*u - 16 + u + 19*u - y*u**2. Let c(k) = -11*m(k) + 2*v(k). Determine c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.26746, -1\/3, -941?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 14*y**5 - 9736*y**4 + 13886*y**3 - 4164*y**2 = 0?\nAnswer: 0, 3\/7, 1, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*z**4 - z**3 - 939*z**2.\nAnswer: 480*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5 - 4. Let p be -1 - (-2 - t) - 1. Find the third derivative of 0*a**p + 4*a**2 - 3*a**2 + 3*a**3 + a**2 wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 + (-5 - 0) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-10 - -6 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 3281 = 36*u. Let p = u - 191. Solve i + 1 = -n, p = -5*n - 3*i - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*t**2 - 210*a*t**2 - 696*a - 31*t**2 + 1101*t - 3 wrt a.\nAnswer: 4*a*t**2 - 210*t**2 - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*k - 13 = 3*k, k = -3*q - 15. Let x(t) = -t - 2. Let z(y) = y. Let m(d) = -d - 1. Let h(r) = 3*m(r) + 2*z(r). Determine q*x(a) + 3*h(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746699483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 79. Suppose j = -t + 6, -17 = 3*t + 10*j - b*j. Sort -30, -5, t in descending order.\nAnswer: t, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398 + -398. Suppose -2*n + 4*l + 132 = v, 0 = -2*n - 0*l - 4*l + 92. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140 - -3?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166703*i**2 + 277*i + 67545837 wrt i.\nAnswer: -333406*i + 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -1\/167 (c) -4 (d) 3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-2 - 7)) + (3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22507.\nAnswer: 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604775152.\nAnswer: 2, 4013, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 - 21\/9. Which is the closest to -0.1? (a) -7 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 7 + 8. Suppose -v = 2*t - 5*t. What is the greatest common factor of 7 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (sqrt(19) - sqrt(228)\/(1*sqrt(12)) - sqrt(19))))**2 + (sqrt(190)\/sqrt(5)*-3)\/((sqrt(128)*-2 - sqrt(128)) + sqrt(2)).\nAnswer: 3*sqrt(19)\/23 + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4460711 to the power of 1\/2, to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 34*p. Let o(g) = 5*g. Calculate w(o(n)).\nAnswer: 25*n**2 + 170*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 39. Factor -1\/3*l**3 - 1\/3*l + 0 + 2\/3*l**z.\nAnswer: -l*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7733309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -23 + (-2 + 1 - -23)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (38 - 13 - 36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -1.8, -325\/2.\nAnswer: -325\/2, -1.8, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/18 + -5)*18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1096 - 1174 + 1590)*(-2*x**2 + 4*x**2 - 4*x**2) to f*x**2 + g + i*x and give f.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/52)\/((-12)\/8).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76453 + -36984. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/7*a**2 - 2\/7*a = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - (2 + -2)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - z + (z - z + 2*z)*(1 + 3 - 2) + 1 + z - 1 + (0 + 4 - 5)*(-2 + 6 - 2)*(-z + 5 - 5).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110069988 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(68) - sqrt(68)) + sqrt(68))*1 + (sqrt(68) + 2*(sqrt(68) - (sqrt(68) - sqrt(68)*1)) - sqrt(68) - sqrt(68)))\/(-1*sqrt(8)\/sqrt(2)*4))**2 + 1.\nAnswer: 169\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrcdlrrwdcllhl. What is prob of picking 1 d and 2 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 28*f + 4. Let k be i(14). Solve 0 = -4*r - k*t + 8, 3 - 1 = 5*r + 3*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 11*s + 2. Let t be w(-11). Suppose 64 = t*x - 6*x. What is the common denominator of (-12)\/x*(-2)\/(-21) and 69\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13349 - -15263. What are the prime factors of n?\nAnswer: 2, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549070.\nAnswer: 2, 5, 19, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 2*k + 22. Let z = -60 + 54. Let v be x(z). Is 1507\/3 - v\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 1055*p**2 + 8202*p + 94696. What is n(-535)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*c = -14, -2*c = -o - c + 7. Let j(x) = 2*x**3 - 2*x**2 - 2*x + 1. Let k be j(o). What is the highest common divisor of k and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Suppose 5*a = -r*x + 65, 5*x + 4*a - 87 = a. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9711110 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 0, -8*j + 5*j + 25 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 take away 0.024?\nAnswer: -1.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/14*(-9)\/((-2916)\/(-378)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8 and 53\/2008.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 94. Let b(c) be the first derivative of -1\/2*c**2 - 4*c - u. Determine b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/5 - 22*s**3\/5 - 137*s**2\/5 - 28*s + 60 = 0. Calculate s.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(-4 + (-4 + ((sqrt(637) + 2*sqrt(637))*1 - sqrt(637)) + sqrt(637))**2*-5 + -5).\nAnswer: -1680*sqrt(13) + 57505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 plus -4.4?\nAnswer: -706.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/9 in -5, -5\/3, -6\/7, -1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992765277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*b + 16, 3*j + 2*j - 5*b = 20. Solve -4*c - j = -3*z, 2*c - 2*z + 5 = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -2\/7, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 119. Let r be 10\/(-2) + 80\/j. Suppose 0 = -2*x + 4, -3*x + 0 + 5 = d. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 1909.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -14622401?\nAnswer: 14622403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 2\/3, 1, 4, 2, 2.8, 0.03?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-10)*4*(-646)\/7752?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*t**2 - 260*t**2 + 576*t**2)*(-4*t**3 + 2*t**3 - 2*t**3).\nAnswer: -1504*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(-3*sqrt(9)) + sqrt(7) + (sqrt(7) + 3 - sqrt(7))*-4)**2 + 1*(sqrt(28)\/sqrt(4)*-1 + sqrt(63)\/(sqrt(36)\/sqrt(4))).\nAnswer: -16*sqrt(7) + 1324\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 113246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6*4\/14*(-588)\/336\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {u: 3, h: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i - 2*i - i in the form t*i + l and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13219, -13221, -13235, -13267, -13323, -13409, -13531?\n\"Answer: -u**3 + 5*u - 13223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v**3 - 6*v**2 - 2*v - 64. Let s(x) = 28*x**3 - 13*x**2 - 4*x - 129. Determine 13*o(c) - 6*s(c).\nAnswer: c**3 - 2*c - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrprpoooprrrrprrrr. What is prob of picking 1 r, 1 p, and 1 o?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, -3, -6.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 5*c + 64 - 44, 3*m - 4*c + 16 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:18 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e - 2cd?\nAnswer: -31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 27. Let z = s + 48. Suppose k - z = 5*g, 2*k + 3*g + 3 + 6 = 0. Solve 0*t = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33126226 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 9 = -10*k, -k - 91 = -4*p. Solve 32 + 56 = -p*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/210 - 2*w**4\/21 - 16*w**3\/21 + 5*w**2. Factor z(s).\nAnswer: -2*(s + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.4950736.\nAnswer: -0.9901472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -81*a - 407. Let m(y) = -2*y + 1. What is m(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w**3*x**2 - 182*w*x - 686*x**2 wrt w?\nAnswer: 9*w**2*x**2 - 182*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*i + 6 = 3, -4*m + 4*i = -12. Suppose 3190 = 5*r + 5*k, -3*r + 2517 = r - m*k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8233479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5127535755.\nAnswer: 3, 5, 173, 658643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - g + 3*m - 50, -m = -2*g - 20. Let a(k) = 11*k - 189. Let h be a(17). Put g, 3, h in decreasing order.\nAnswer: 3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2260)\/(-6)*(1 + (-171)\/(-18)).\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/5 in -1\/7, 4, 3\/4, -0.4, -23\/4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/32 (b) -4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1584769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/1421 and 22\/85589.\nAnswer: 17374567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19238937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 13*f**2 + 8*f - 4. Suppose 5*u = 2*t - 155, -161 = -2*t - 4*u + 3*u. Suppose -4*n = 4*n + t. Does 27 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (3 + sqrt(99)*-1)*-4)**2 + -1.\nAnswer: -384*sqrt(11) + 1838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -0.11\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*x + 8 = -7, -x + 3 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 20*r - 1 - 1 as s + t*r and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 + q - 1. Let t(v) = 11*v**3 - 27*v**2 + 9*v + 1. Let f(k) = 3*i(k) - t(k). Factor f(x).\nAnswer: -2*(x - 1)**2*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33120 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -122 + (-55 - (36 + -161))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2367720 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/(-3)*49. Find the common denominator of 7\/q + 591\/126 and (-49)\/4 - (-1 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**5 + 2*u**4 + 28*u**3 - 2*u**2 + 13*u + 26. Let c(z) = -5*z**5 - z**4 - 13*z**3 + z**2 - 6*z - 12. Let i(r) = -6*a(r) - 13*c(r). Factor i(n).\nAnswer: -n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2457)\/315*(-5)\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524459557 to the nearest integer?\nAnswer: 22901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11466 and 494?\nAnswer: 217854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230888 is divided by 852.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.89698 + 0.14.\nAnswer: 37.03698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -119, -680, -1641, -3002, -4763, -6924, -9485?\n\"Answer: -200*i**2 + 39*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 - 5\/6. Let o(u) = -18 - 8*u + 18. List the prime factors of o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1410 = -5*p, 0 = 5*v - 1 - 24. Let r = -4153\/15 + p. Which is smaller: r or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-10) - (-4 - 57\/(-15))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 13*h = 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 71*y**2 + 572*y - 564. Give l(78).\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46157 is divided by 10962.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 23\/2. Let o = 8 + -20. Let x be -1 + 1 - (-9)\/o. Which is the third biggest value? (a) -2\/9 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14916 + 16320. Calculate the lowest common multiple of k and 39.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 177*z**2. Let r(p) = 13*p**2 + 3. Calculate o(r(s)).\nAnswer: 29913*s**4 + 13806*s**2 + 1593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7\/2)\/i*i**(2\/67)*i*i**(-3\/2)\/i*i**(15\/2) assuming i is positive.\nAnswer: i**(205\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65599 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 + 18*k**3 - 14*k**3 + 29*k**3 - 5*k**3.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 50 = 25*t - 94 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-34)*(-290)\/116*6\/5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 4, a: 1, b: 3, h: 7}. Give prob of sequence dlh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 10*m - 6. Let w(s) = 2*s - 14. Let j be w(4). Determine y(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 219 = 29. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 2\/1233 (b) 0.4 (c) 1\/2 (d) -0.5 (e) -2\/175 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 21 = 2*h, 2*h + 246*z = 241*z - 31 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -30 in increasing order.\nAnswer: -30, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**5 - 46*h**2 + 8*h**4 + 43*h**2 - 14*h**5 + h**5 - 2*h**5 + 3*h**5 + (-2 + 2 + 3*h**2)*(0*h + h**3 + 0*h).\nAnswer: -2*h**5 + 8*h**4 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 4*u, 9 = -s + 4*u. Solve 5*f + s = -7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -5, 2, -1279 in decreasing order.\nAnswer: 3, 2, -1, -5, -1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -97. Let n = 64.00000033 - s. What is n rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/59 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*w - 22*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 20*r - 15. Give y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 12*q**2 + 18*q - 20. Let n be p(-10). Suppose -s + 4*s + 6*g - 33 = n, 47 = 3*s - g. What is the greatest common divisor of s and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2180 + 1292. Let s = -4484\/5 - i. What is the common denominator of s and 79\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 + -0.2. Let n = 0.0545 - f. Round n to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-400 + 78 - 302)*(-3 + 2 - 2*w + 0*w) - 3 + 0*w + 4*w + 1.\nAnswer: 1252*w + 622","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*i**3*p - 68*i**3 - 4*i**2*p**2 + 1 with respect to p.\nAnswer: -35*i**3 - 8*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*c - 2 = -c - 7, 0 = -n - 3*n + 3*c + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 133 + 8*w)*(-4 + w**2 + 4).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 7*a**2 + 5*a - 11. Let q be g(7). Suppose -3*c + 10 = -2. Suppose -c*u + 40 = u. Calculate the greatest common factor of u and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -2\/17 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u - u**3 + (-2*u + 2*u**2 + 2*u)*(u - 3*u + 0*u) + 22 - 22 + u + 2*u**3.\nAnswer: -3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*o - 2*o. Calculate the lowest common multiple of (-140)\/126*(-27)\/3 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 4*z - 1. Let x be u(-5). Let m = x + -38. What is the remainder when (-1)\/(1\/m) - -1 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 18. Let i be u(26). Let y = i + -114. Solve 0 = 3*c - 4*k - 22 - 6, k = 5*c - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37530877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 - 22*y**3 + 156*y**2 - 360*y = 0. Calculate y.\nAnswer: 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 412*d*g*p*u**3 + d*g*u**2 - 11*d*g*u - 3*d*p + 4*d - g*p - 4*g*u + 2*u**3 wrt p?\nAnswer: 412*d*g*u**3 - 3*d - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(5*f + 0*f + f) to the form x + b*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:17 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -715.5\nAnswer: 37921.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = 2*o + 81*t - 2514, 2*t + 6285 = 5*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -11995088?\nAnswer: 11995088.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 219 (base 16) to base 4\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -0*a. Suppose -771 = 156*q + 64*q + 329. Is q less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.44 - 100.56. Let z = w + 99. Sort -1, z, 0.02, 0.2 in decreasing order.\nAnswer: 0.2, 0.02, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4227485332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 18 - 17 + 29 in the form q + j*n**2 + h*n and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52461138.\nAnswer: 2, 3, 2879, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/48 and -9*(-2)\/(-18) + -734*2\/(-1568)?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 30*l - 3. Let q be f(11). Suppose 16463 = 8*n + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/32 and (-39344)\/(-5760) + (-4)\/(-90)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 22372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 6. Let w be v(3). Calculate the remainder when w\/(-16) - (-243)\/12 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44994128*a**3 - 56796779*a**2 wrt a.\nAnswer: -269964768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - -27. Let g = h + -52. What is the remainder when 45 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 850 = 918. Suppose -g - 2 + 10 = 0. Let b be 4*g - (9 + -5)\/f. Solve -5*a + b = -h + 4, a = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 99. Suppose -37*z + 270 = -f*z. What is the greatest common factor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1279 + 1278.6. Let p = -0.2 + 0.2. What is the closest to p in 1\/5, g, -6\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486889634?\nAnswer: 2, 3, 179, 683, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1348.1 - 858.8. Let y = -489 + i. Which is the biggest value? (a) y (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/30 - 5*g**4\/18 + 7*g**3\/9 - g**2 + 4*g. Factor d(w).\nAnswer: 2*(w - 3)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 2*n - 3. Let m(g) = -1. Let b = -96 + 99. Determine b*m(l) - k(l).\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(8)\/sqrt(4) + -2) - (sqrt(2) + 0 + sqrt(200)).\nAnswer: -11*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 30 - 10 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42.929 and 5675.\nAnswer: -243622.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/36 - (-71)\/6. Suppose 7*z - 36 = 3*z. Let w = l - z. Solve -5*q = s + 2, -w*s + 0 + 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3776 divided by -46\nAnswer: -1888\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)\/(1\/2). Let q be 0\/((-5)\/((-10)\/l)). Suppose q*a + 47 = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + l**2 + 24*l**2 - 6*l**2 - 9*l**2.\nAnswer: -6*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - -1.3. Which is the smallest value? (a) -1 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 8339?\nAnswer: 4169.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 31*f + 32*f - 59 = 0, 4*u + 5*f + 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(84) - (sqrt(84) - (sqrt(84)*6*-2 + sqrt(84)) - sqrt(84)))\/(-6*sqrt(12)*3 - (5*sqrt(192) - sqrt(192) - sqrt(12))).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 197 = d + 4*d, 4*l = 3*d + 203. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 783 and 20904471.\nAnswer: 1818688977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 1. Let q(x) = 121*x - 121*x + 7 - 7*x**2. Let w(a) = 6*l(a) + q(a). Factor w(p).\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -153, 4.\nAnswer: -153, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86820365 a multiple of 673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8114.1 - 8114. What is the smallest value in 1\/4, u, 2, -56\/3?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 7*o - 6. Let w be f(6). Suppose w = 2*h - 80 - 324. Let a be h*(5\/10 + -1). Round a to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5187532607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {y: 3, w: 1, v: 4, g: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1\/3, 3, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-800)\/11440)\/(5\/(390\/(-6))).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)*w))\/w**(-7\/5))**(-25\/4) assuming w is positive.\nAnswer: w**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(147) - sqrt(147))**2 + (sqrt(12) + sqrt(48)*5)\/sqrt(4).\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 595 + -1214. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*j + 2*j. Let x(l) be the first derivative of -l**3\/3 + 5*l**2 - 7*l - 4. Let t be x(j). Solve t*v + 5 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**5\/15 - a**4\/24 - 5*a**2\/2 - 3*a. Let t(k) be the first derivative of m(k). Determine t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/(-702)*2\/(-5)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2 - 5 + 21*k**2 + 50*k**3 - 49*k**3 + 19*k. Let r be o(-18). Suppose 10*c - 3*c - r = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2751 - 8251\/3. Let v = 4.6 - 0.6. What is the third biggest value in v, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*l = -144, -l + 0*l = -3*j - 226. Let n be (-24)\/11 - 14\/j. Let k = 9.72 + -9.72. Put 6, k, n in increasing order.\nAnswer: n, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 6*x + 4*x - 5*x - 320239*x**2.\nAnswer: -320239*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*r - 1460, q - 4*q + 1095 = -5*r. Let v = 577 - q. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105714048 and 23694528?\nAnswer: 1374282624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5020614 and 101\/10.\nAnswer: 25103070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1098 = h + 232, -4*h = i - 3503. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8461 and 0.06.\nAnswer: 8461.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120111002122 + 1002221?\nAnswer: 120112012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (10 - -1)*(-1504 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 88 + 88 + 7*o. Let n(l) = l**2. Give v(n(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154787 - -38?\nAnswer: -154748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 > -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 49965000 to the nearest 100000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/2 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -9.8. Let h = 4.878 - 2.878. Which is the second smallest value? (a) f (b) -3\/22 (c) -0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -793 + 977. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.5 - -5. Let a = o - 46. What is the second smallest value in a, -4, -8, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 132*j**2 + 4620*j + 1. Let q be v(-35). Let f be 1 + -1 - (-21)\/28. Factor d + f*d**2 - q.\nAnswer: (d + 2)*(3*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 1 - (-14 + 3 + -122 + 100).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q - 14. Let i be n(12). What is the highest common divisor of 2030 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m = -78*m - 2, 3*m = w + 858. Let y = 867 + w. Solve -k + y*k + 2*o + 15 = 0, 0 = -3*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*c**3*p**2 - 182*c**3 + 92*c**2*p**2 + c**2 + 2*c wrt p?\nAnswer: -96*c**3*p + 184*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:52 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -70. Let r(t) = 20*t - 7. Let h be r(4). Suppose -2 = s - 5*c + 1, 5*s - 3*c - h = 0. What is the remainder when v is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*l - 20, -5*f = -3*l + 13 - 28. Sort -0.4, 1, -1\/3, f.\nAnswer: -0.4, -1\/3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Suppose -4*f = 2*c + 16, f + 4 = -0*f. Let b = c - -1. What is the closest to b in -0.3, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = -3*v, 6*n - 8 = v + n. Suppose -2*q - z + 49 = 0, v*z - z - 26 = -q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22237383 and 31640?\nAnswer: 889495320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -d9f2c7?\nAnswer: d9f2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06428824 and 0.02702?\nAnswer: 0.09130824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 2:58 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 48, -1 in ascending order.\nAnswer: -2, -1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 253709 - 12?\nAnswer: 2536c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -46319.\nAnswer: -4\/46319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 - 15*l**2 - 10*l + 128. Let i(j) = j**3 - j**2 - 2*j - 1. Let a(y) = 5*i(y) + q(y). What are the prime factors of a(21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.41 or -1?\nAnswer: 12.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiogoiggomim. Give prob of sequence mom.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47131872534 minus 6?\nAnswer: -47131872540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 354128 + -102?\nAnswer: 354026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 640194271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166962107*i**2 - 144*i + 107684.\nAnswer: 333924214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/5902 or -1.2?\nAnswer: 5\/5902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 748, 759, 830, 1003, 1320, 1823?\n\"Answer: 7*s**3 - 12*s**2 - 2*s + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-1 - -11 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-680)\/(-850))\/((-2)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*t**3 + 215*t**2 wrt t.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + -1. Let q = 116 + i. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**5*u**3 - 24086*k**2*u**3 + 11*k*u**3 - 71*k*u - u**3 wrt k.\nAnswer: 60*k**3*u**3 - 48172*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) -1 (c) -19\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 + 83*p**2 + 20*p + 36. Let y = -16 + 22. Calculate the remainder when w(21) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8240.312 nanoseconds?\nAnswer: 0.008240312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 + 0.3. Let c = 52 + -52.5. Sort -0.09, u, c in decreasing order.\nAnswer: u, -0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -37\/617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140626918 - -4000088.\nAnswer: -136626830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 5*l + 2. Let q be d(0). Let k = -1.5 + 1.8. Which is the nearest to q? (a) 3 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17274786527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30*t**4 - 734*t**3 + 3*t + 212. Let f(o) = 26*o**4 - 735*o**3 + 3*o + 213. Let q(g) = -7*f(g) + 6*s(g). What is the second derivative of q(b) wrt b?\nAnswer: -24*b**2 + 4446*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {b: 7, w: 3, f: 3, z: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 + 6*t + 3. Let i be r(-4). Let f = 46 - i. Let y be (-5)\/20 - f\/4. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1144005 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -122*r**4\/3 + 7*r**2 + 420*r + 1. Let j(u) = -11*u**2. Determine j(o(m)).\nAnswer: -10478336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let r = 0.999922 + a. Round r to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*((sqrt(2736) - ((sqrt(2736) + -1)*-2 - sqrt(2736)))*-2 + -3)*2)**2.\nAnswer: -2304*sqrt(19) + 700452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 13\/3. Suppose 0 = -r*v + 14 - 4. Suppose 0 = 3*t + 9, -t - 17 = -v*o + 2*t. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z + 3. Suppose -2*t - 3*f = -1 - 15, 4*t + z*f = 20. What is the second derivative of 10*g + 4*g**2 + 21*g**2 - 8*g**2 + 4*g**t wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -5\/4, -2, 116\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/3 - 5*p**2\/3 - 7*p\/3 - 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m = -34*m + 570952. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4)*-4*(-27)\/(-126)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144, -325, -520, -735, -976, -1249, -1560?\n\"Answer: -w**3 - w**2 - 171*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p - 3. Let c be b(4). Suppose 0 = 4*v + 2*v. Suppose 72 = -0*l + 3*l - 5*n, c*l - 5*n - 110 = v. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190988 is divided by 2170?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 - -166. Let b be (m\/(-3))\/(6*(-8)\/(-4320)). What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267735897?\nAnswer: 3, 11, 13, 19, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4148251258 + -4148253790.5339795. Let o = -2532.6 - z. Let u = -0.066 - o. What is u rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 0.5 in decreasing order.\nAnswer: 0.5, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 - 5059*b**2 + 10099*b - 5069. Let y(m) = m**3 + 843*m**2 - 1683*m + 845. Let w(f) = -6*k(f) - 34*y(f). Factor w(p).\nAnswer: -4*(p - 421)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6*h + 2*m = 146, -359 = -5*h + m. What is the remainder when 388 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4256346 + -122?\nAnswer: -4256501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1027*w**2 - 15*w + w**3 + 1058*w**2 - 64*w**2 + 0*w**3 to the form r*w + n*w**2 + y*w**3 + z and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13820 - 13806. Solve 142 = b*l + 268 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48858717 - -48858720.299997375. Let m = u + -3.3. What is m rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3369 + -3368.6. What is the closest to -2\/5 in 18, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdb when three letters picked without replacement from {t: 1, b: 2, l: 3, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3892)\/14*2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/14)\/((-2)\/12). Let n(t) = -t**2 - 3*t. Let f be n(-4). Let z be 15 + ((-648)\/(-6))\/(-9). Put z, f, u in decreasing order.\nAnswer: z, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16056963 and 78?\nAnswer: 32113926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1603*g + 4 - 970*g + 498*g - 1 in the form p*g + y and give p.\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 6722269\/2 and 3361134 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*c**3 - 33*c**3 + 70*c**3.\nAnswer: 207*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/9)*z*z**(-5)*(z**(-1\/4))**(-24)*z**(3\/5)\/z*z*z*(z\/z**(-1\/3))\/z*z**6*z**(-6\/5) assuming z is positive.\nAnswer: z**(373\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107 - 12*j**4 - 24*j + 107 wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*h - 35 = 0, 9*x - 15 = 4*x - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - 15 = 0. Let m = 11169\/4 + -2793. What is the nearest to 1\/3 in m, 12, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103343 (base 5) in base 13?\nAnswer: 2b275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 11*n**2 + 8*n - 8. Determine a(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111\/60 + 4\/(-16). Let l be (-12)\/(-15)*(-1)\/(-4). What is f in 0 - z*f**2 + 3\/5*f**4 - 4\/5*f - l*f**3 = 0?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274*i**5*s**2 + i**3*s**3 - 2*i**2 + 42*i*s**3 - 3*i*s**2 + 8*s**3 wrt i?\nAnswer: 16440*i**2*s**2 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**1*x)*x*x)**(-6\/31))**5 assuming x is positive.\nAnswer: x**(-60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10391649 to the nearest integer?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759 - -14?\nAnswer: 7773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.9 (c) 1 (d) -0.4 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 2*j = -37 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -u, 9*a = -4*a + 5*a + 5*a + 5*u + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9284929 is divided by 2353.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*f - 13 = 4*y, -5*y + 23 = 3*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**4\/12 + m**3 - 3*m**2\/2 + 10*m. Give j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/6 - -2) + (-53685)\/(-140). Let m = -384 + c. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 50*d**2 - 76*d - 50. What is the remainder when w(23) is divided by 113?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/7*t**4 - 9\/2*t**2 - 1\/14*t**3 - 4\/35*t**5 + 0 + 2*t. Let d(n) be the first derivative of z(n). Factor d(r).\nAnswer: -3*(4*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 11*s**3\/3 + 17*s**2\/2 + 3*s + 17. Let p be l(-9). Let r be (p + -14)*1\/(-5). Which is greater: r or -20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 15047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -887 + 878. Let l be (-4575)\/((108\/(-41600))\/a). What is l rounded to the nearest 100000?\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17082 + 22192. What are the prime factors of z?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62642 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 5350, 0.\nAnswer: -104, 0, 5350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5480809919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**2 - 59*m + 12. Calculate i(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b = -115*b + 160 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -272*v**3 - v**2. Let r be j(1). Calculate the common denominator of -2 - (-1 - (-161)\/(-12)) and r\/154 + (1 - -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 5.6. Let t = q - -0.2. Let m = 1.26 - 0.26. Which is the nearest to 2\/5? (a) t (b) m (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 61. What is the remainder when t is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321328 and 1568?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -181, -190, -199?\n\"Answer: -9*d - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18461 + -15722. Calculate the remainder when t is divided by 1366.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:59 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/5)\/(3*(-1)\/15). Find the third derivative of -s*y**2 + 25*y**6 + 9*y**2 - y**2 wrt y.\nAnswer: 3000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**3*n + 5*c**3*x - 807*n*x**2 - x**2 + 65*x wrt n.\nAnswer: -6*c**3 - 807*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*160064\/28 + (-48)\/112. Which is bigger: t or -5718?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 4*a + a - 2 - 2*a + 2 - a - 3*a + 3*a + (-4 - 2*a + 4)*(1 + 1 - 1) + a - 4 + 4 + (-3 + 4*a + 3)*(2 + 2 + 1).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 120672 + -3?\nAnswer: 120669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3479 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 - -254.7. Let s = -17 + f. What is the biggest value in 5, 0.2, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(-3*j**3 + 0*j**3 + 2*j**3) + (-10435*j + 10435*j - 362*j**3)*(j - j + j) - 2*j**4 + 3*j**4 + 0*j**4.\nAnswer: -363*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*k - 11. Let v be 5\/10*(-1 - -1). Suppose -20 = -5*u, -m + k*u - 15 - 5 = v. Is -3 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 6*s + 100 = 0. Let u(w) = -2*w**2 + 1603*w**3 + 4 - 2*w**2 - s*w - 1602*w**3. Calculate u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - -0.05. Let u be 3*(-1)\/(-2)*-2. Let b = u - -8. Put v, 2\/7, b in descending order.\nAnswer: b, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266901 is divided by 24260.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4730 + -4?\nAnswer: -4734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -5. Suppose 2*i - 60 = -x*i. Let v = i + -6. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 0 + 4 + 0*k**2 - 2*k - k**2. Let n(y) = -2*y - 21. Let d be n(-10). Let j(t) = -t**2 - t + 1. What is d*m(i) + 3*j(i)?\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b + 28 + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 657350 and 90.\nAnswer: 5916150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 448.5 + -467.51. Let m = -19 - h. Let t = m + 0.09. Which is greater: 1\/3 or t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 120*y**2 - y - 1. Let l be r(-1). Let t be 6\/(-10) - (-732)\/l. Factor 0 + 0*u - t*u**3 + 3\/2*u**4 + 3*u**2.\nAnswer: u**2*(u - 3)*(3*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 243 = 3*v, -4*w = -5*v - 43 - 448. Does 43 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10051\/420 + -428\/21. Calculate the common denominator of -127\/6 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y + 23 - 2*y + 75 - 3*y)*(y - 2*y + 0*y).\nAnswer: 20*y**2 - 98*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4070?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -161*t**2. Let q(l) be the third derivative of 1\/30*l**5 + 0 + 0*l**4 - 2*l - 9*l**2 + 0*l**3. Give m(q(i)).\nAnswer: -644*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226 by -1.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-49)*(-37 + 30). Solve -3*b + l*a - 20 = 0, -5*b = -a - 0*a + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + -3.5. Which is the smallest value? (a) k (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1232807?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.48 (b) 2\/5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 - (-22)\/10. Let a(h) be the first derivative of -v + h**2 + h**2 + 0. Let g(q) = q. Calculate g(a(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Suppose 0 = 5*p - k*t - 28 + 8, -3*t + 4 = p. Differentiate -1 - 2 + 1 + n**p wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18*f - 123. Let b be j(-7). Let i be 1*(-2 - -10)*b\/8. Let k(v) = -v**3 - 5*v**2 + 1. Let h be k(-5). What is the highest common divisor of i and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169\/77 - -16\/7. Let a = 5.133 + -0.133. Sort m, 2\/7, a in descending order.\nAnswer: a, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.3, 20, -282.8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 15, g: 4}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -54 (b) -2\/503 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1159, 1153, 1147, 1141, 1135?\n\"Answer: -6*w + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 1:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54.7308 + 6.7678. Let j = 0.52 - 48.52. Let p = c - j. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8, 0 = 5*a - 0*b - b + 24. Let m(v) = -v**3 - 3*v**2 - 3*v - 3. Is m(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+52387823848\nAnswer: 52387823843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218 - 489 = 81*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -539.205 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*x - 32 = 0, 4*w + 0*x - 2*x + 26 = 0. Let h(n) = -n + 6. Give h(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(40)*-2)*-3)\/(-1*sqrt(8)*-1) - ((-3*sqrt(250))\/(sqrt(16)\/sqrt(2)))**2) + 5.\nAnswer: -1105\/4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5483 + -3?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/11 - 453016*s**3\/11 + 26269882*s**2\/11 - 380888900*s\/11 = 0.\nAnswer: 0, 29, 226450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4072?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-23))\/x**(-28))\/((x*x*x**16\/x*x*x)\/x)**(24\/5))**(2\/29) assuming x is positive.\nAnswer: x**(-804\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 30 - 25 - 23 + 13*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253*y = 1266*y. Let c(d) be the third derivative of -37\/60*d**5 + 0*d + y + 33*d**2 - 37\/6*d**3 + 0*d**4. What is the derivative of c(w) wrt w?\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220 divided by 2\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -17*h + 36. Suppose 4*s - 9 = s, 5*s = -h*i + 642. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 1. Suppose 3*r + 20 - 5 = 0. Suppose 0*l = -2*l + 16. Let f = l + r. What is z(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 6*d - 8*d - 14*d in the form t*d + c and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2235385 - 2*h - 2235385. Let d(j) = -138*j**2. Determine u(d(t)).\nAnswer: 276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/49 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 51343154?\nAnswer: 51343202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*r + 138*r + 120*r + 117*r - 617*r + 121*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-56)*(2 + 436). Let k = 25\/14 + v. What is the common denominator of k and -21\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.069, -3\/2, -0.447 in increasing order.\nAnswer: -3\/2, -0.447, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - f - 4. Let u be b(-7). Suppose 2 = u*s - 115. Suppose -182 = -17*m + 3*m. Calculate the greatest common divisor of s and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 11*p**2 + 13*p - 6. Suppose 3*d = 219 + 210. What is the remainder when (1 + -4)*d\/(-3) is divided by i(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86652 and 162342.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14359038.\nAnswer: 2, 3, 23, 67, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18743, 19770, 21479, 23864, 26919?\nAnswer: 30638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((7080\/(-59))\/(-1200)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -413, -664, -949, -1274, -1645, -2068, -2549?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p = -44*p + 27. What is the remainder when 53 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 33*i**3 + 80*i**2 - 1454*i. Let r(s) = -16*s**3 - 41*s**2 + 727*s. Let a(t) = 4*h(t) + 7*r(t). What is the second derivative of a(b) wrt b?\nAnswer: 120*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 3608\/900 - 2. Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -780 - -814. Let h be 1\/(-6) - 3\/36*-26. Suppose 0 = 2*m - 0*m + h*b - 254, 2*m - 3*b - 279 = 0. What is the remainder when m is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 35. Let o be q(32). Suppose -5*z + o*b + 1852 = 0, 5*b + 297 = 3*z - 811. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6739.482 kilograms to milligrams.\nAnswer: 6739482000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - 5*p**2 + 21*p - 11. Let f(i) = 3*i**3 - 7*i**2 + 32*i - 17. Let z(o) = -5*f(o) + 8*q(o). Is z(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-345))\/(1\/(-15)) - 0. Suppose 15 = 5*h - k, -3*h + k - 6 = -17. Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s + 1. Suppose -5*n - 2*v = -25, 3*n - 1 = v + 14. Let z be q(n). What are the prime factors of ((-9)\/6)\/(2\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -4*h + 2*l, -5 = -5*l - 0. Suppose 3*r = 47 + 22. Suppose -4*w - r = -h. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6088*h - 2331680. Calculate s(-383).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - y**2 - y - 1. Let f be u(-1). Suppose o - 45 = 4*o. Let v be f*o\/6*2. Let b(t) = 9*t + 9. Let k(q) = 4*q + 4. Determine v*k(r) + 2*b(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005374 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-8)\/52 + 2972\/52. What is the greatest common factor of 1102 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 750*h - 3474. Calculate p(5).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3072c0 (base 13) in base 15?\nAnswer: -174b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16271, 65142, 146603, 260660, 407319?\nAnswer: 586586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 363310 (base 7) in base 10?\nAnswer: 66010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l - 3*f, -f - 6 = -4*l - 3*f. Suppose 2*b - 3*w + 18 = -6*w, -b = l*w + 19. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 - -5.02. Let k = 21.38 + -21. Let m = x + k. Put 5, 4\/7, m in ascending order.\nAnswer: m, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -15*f + 3. Let z be 12\/4 + 7 - 4. Let w be -5 - -2*3\/z. What is the smallest common multiple of 24 and v(w)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 + 69495456*s - 603702300580992 = 0. What is s?\nAnswer: 17373864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, -0.2, -2\/19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16188565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422015 and 805665.\nAnswer: 8862315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 3*i - 3*u - 21, 5*i + 5 = 5*u. Suppose -q = -2*r - 13, 0 = i*r - 0*q + 2*q + 4. What is the second smallest value in r, -0.22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6947, -4139, 3487, 18343, 42841, 79393, 130411?\nAnswer: 198307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, q: 1, o: 4}. Give prob of sequence oq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {o: 1, h: 4, w: 2, g: 8, t: 2, c: 3}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-2)\/(-6)*-3. Suppose 0 = 4*w - f + 3*f - 28, 21 = w + 4*f. Suppose w*g + 2993 = q*c, 4*c + 0*g - 5991 = 5*g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13231 and 809111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 - (5 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 3*i = -212. Solve l = -2*o + 3*l + i, -5*o + 2*l + 19 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (840\/600)\/((-21)\/(-25))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + h**2 - 3*h**2 + 3*h**2 + 16 + 13*h. Let u be o(-3). Is u not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1123*l - 3389. What is the units digit of n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-1) + -17)*314\/(-4) 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 147435014 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -30. Let s = -85.051052 - -116.05105. Let o = s + l. Round o to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - x**2 + x**3 - 39361 + 41019 - 3*x in the form s + b*x**3 + w*x + l*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:39 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3.5 (b) 59 (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -q - 4*q. Let y = q - 9. Let v(a) = y*a - a - a. Let w(g) = 10*g. Give w(v(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(110) - 6*(-1*sqrt(110) + sqrt(110)))*-1)\/((sqrt(120) - (1*-2*sqrt(120) + sqrt(120)))\/(sqrt(132)\/sqrt(176))).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -30*b**3 + 24*b - 12. Let g(x) = x**3 - x + 1. Let y(u) = a(u) + 24*g(u). What is the derivative of y(k) wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5361686492789 + 5.\nAnswer: -5361686492784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150165 (base 12) in base 5?\nAnswer: -1323314332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032070 rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 4343*g**3 + 4781976*g**2 + 143960432*g - 148746752.\nAnswer: (g - 1)*(g + 32)*(g + 2156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 1 - 9. Suppose q*l - 6*l = -8, -5*f + 346 = 3*l. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*b = 73, 0 = -0*m - 4*m + 3*b + 227. Let l = 65 - m. Which is bigger: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 119 + 163 = 57*f. Solve w = -2*x + 8, 18*x - f = 16*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 11:24 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * 83.2.\nAnswer: -19.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (-44)\/8*(-4 + 2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2. Let s = -14\/3 + 5. Let u(a) be the first derivative of s*a**3 + 0*a - 3 + 0*a**2. Determine u(r(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 68*n + 13. Let r(m) = 209*m + 40. What is -4*r(b) + 13*z(b)?\nAnswer: 48*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 24 = -5*s - 4*k, 13 = 2*s - 5*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:52 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410651 (base 10) in base 12?\nAnswer: 118590b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1455*d + 4370*d - 1452*d + 10*d**2 - 1460*d.\nAnswer: 10*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y = -l, -y = l - 9. Suppose -69 = -l*n + 11. What is the remainder when 306\/10 + (-3)\/5 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35 = -30. Let m = 0.1 - 0.3. Which is the third smallest value? (a) i (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/93504 and 59\/2723304.\nAnswer: 21786432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4*k - 1. Suppose i + 5*o = 15 + 9, 2*o = 3*i - 21. Suppose -14*v - 20 = -i*v. Give l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2496*g**3 - 1306*g**3 - 355*g**3.\nAnswer: -4157*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*h**5 + 279*h**4*z + 22*h*z - h - 7 wrt h?\nAnswer: -520*h**3 + 3348*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/(-10) + (-476)\/(-35) and -5*(110\/(-25) + 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6472, -6401, -6232, -5917, -5408, -4657, -3616?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 24*b + 75 = 0. Solve -d = w - 5, d - w - b = 3*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59122.\nAnswer: 2, 7, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125 and 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1573990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5904182 decades to months.\nAnswer: 70.850184","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -9. Let t = o + 7. Let j = 202\/297 + -4\/297. Which is the third biggest value? (a) 3 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.6 and 9.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - (-2)\/((-5)\/((-225)\/(-10)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*t + 5, -t + 2*t = -5*r + 13. Suppose -8*d = -r*d - 1825. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*z = -593, -241 - 358 = -4*d + 5*z. Suppose -3*y - 4*x = -166, 0 = -5*y + 4*x + 96 + 138. Calculate the remainder when d is divided by y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 2 in decreasing order.\nAnswer: 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 - 350*a**2 + 1032*a = 0.\nAnswer: 0, 3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 2. Let r = 21 - 35. What is the least common multiple of 660\/42 + (-4)\/r and p(-2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*z + 17. Let q = z - 5. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 0.35.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(1300) - sqrt(1300)) + sqrt(1300) - (sqrt(13) - (sqrt(13) + -1 + sqrt(52)))) + (sqrt(1053)*-1 - sqrt(1053)) + 2)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7104*a + 49725. Give w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2553?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 - 2*m**2 + m - 4. Let g(d) = d - 2. Let k be g(4). What are the prime factors of i(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/648)\/((-2)\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -w + 3*w - 4, u = 0. Suppose 5*q - w*a = 3*a - 50, -5*q = -a + 34. Is 15 a factor of ((-208)\/(-12))\/((-4)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllllttttltltllqtl. Give prob of picking 1 l and 1 q.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1610 and 12075.\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**2 + 14*y**2 - 12*y**2)*(-181*y + 59*y + 55*y + 815 + 69*y).\nAnswer: -26*y**3 - 10595*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 <= 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -29*d - 39. Let v(y) = 154*y + 208. Let p(f) = 3*v(f) + 16*x(f). Let z(n) = 21*n - 422. What is p(z(g))?\nAnswer: -42*g + 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*t + 18, -2*p + 10 = -p - 3*t. Is ((-945)\/84)\/(2 - 9\/p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 675 - 674.561. Let x = k + -0.43899657. Round x to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31451 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -166bb7 - -48?\nAnswer: -166b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -41. Let l = -1 + h. Suppose -5*g - 2*s = -84, -5*g + 57 = -l*g - s. What is the least common multiple of g and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 23) + 19 + -1 + -8 - -147?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 20, -3, -26?\n\"Answer: -23*h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(672\/456)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53729726*h - 53729593*h + 56 - 56.\nAnswer: 133*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*c**2 + 5*c - 5*c + 21 - 10 - 10 + 279*c**3.\nAnswer: 279*c**3 + 281*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20300 = 90289*h + 90419*h - 180883*h for h.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 202 = -4*i, -2*b = 847*i - 842*i - 254. What is the remainder when 3376 is divided by i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4596, -19418, -44438, -79644, -125024, -180566, -246258?\nAnswer: -322088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + -19. Let b = 35 + z. Find the first derivative of 2 - p**3 + p**3 + b*p**3 wrt p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67172827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 5 - (0 + -2)) + (84 - 47)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 4*v + 64. Suppose -5*o + v = -n, -3*n - 1 - 11 = -o. Solve -15 = -5*z, -15 = s - o*s - 5*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i**(3\/4))**(-7) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*d + 24, 2*a - d = 4*a - 9. Let u = a - 2. Suppose 16*h = 14*h + 4. Solve s - 4 = -u*l, l - h*s + 3 = -5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-6)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -1039*t**3\/2 - 838*t**2 - 1437*t. Differentiate o(h) wrt h.\nAnswer: -3117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 22302630*o + 3670. Let h be i(-9). What is h rounded to the nearest 1000000?\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13870773 divided by -441?\nAnswer: -31453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 + 3*x - 5. What is c(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31233 or -52?\nAnswer: -31233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 308*n**5\/5 + 195*n + 228. What is the first derivative of s(i) wrt i?\nAnswer: 1232*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5291, 10581, 15871?\nAnswer: 21161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1975.67502 + 0.12498. Round z to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**2 + 4*s - 42*s**4 + 28*s**4 - 2*s - 1 to m*s**2 + w*s**4 + j*s + x + g*s**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4219, 8439, 12661, 16885?\nAnswer: 21111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 276 = -8. Let d = -163 - x. What is the remainder when d is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6249 and 0.0167.\nAnswer: 0.01043583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:06 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7466, -0.02.\nAnswer: -5, -0.02, 7466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(475) - 3*sqrt(475)*5))**2.\nAnswer: 560*sqrt(19) + 93116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9\/(u*(u*(u*u*(u\/((u\/(u*u**(4\/5)*u))\/u))\/u)\/u)\/u)*u**6\/(u*u*u*u**0*u*u*u) assuming u is positive.\nAnswer: u**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1010 and 1818?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -19, -13, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 122.04. Let r = k + 63.5. Let w = r + 59. What is w rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 9500*i**3 + 3169525*i**2 - 9575150*i + 6396120 = 0.\nAnswer: -1467, -436, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 22.\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:13 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 676030 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsm when three letters picked without replacement from umssmsskwms?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*n + 98*n - 4*u + 44, -2*u - 26 = 5*n. Let y(d) = -d**2 - d + 26. Give y(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 4*i - 13 = 2, 424*i - 10 = 422*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - h + 3 = 0, -4438*w + 4440*w + 2*h + 18 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*y**4 + 88*y**2 - 438*y**3 - 4*y**5 - 229110*y - 60 - 638*y**2 + 228808*y = 0 for y.\nAnswer: -30, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1891679076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*29\/(-580))\/(-2)*-141.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1140421341 (base 5) to base 11.\nAnswer: -15641a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*j**3*o**2 + 60*j**3 + 166*j*o**4 - 218*j wrt o?\nAnswer: -74*j**3*o + 664*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207856.335 * -5.\nAnswer: 1039281.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 1. Let a(w) = 4*w**2 + 3*w - 1. Let t(c) = a(c) - 3*z(c). Calculate t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*o - 10308 = -170*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11))**(-8\/9)*((l*l\/l**(-17))\/l)\/l**8 assuming l is positive.\nAnswer: l**(346\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 - 2*a + 1. Let j(i) = 92*i**2 + 9*i - 3. Determine -j(w) - 4*p(w).\nAnswer: -72*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/(2\/(-10))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -791*z**4 + 299*z**4 + 275*z**4 + 456*z**4 - 32*z wrt z.\nAnswer: 2868*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291610 = 508*m - 507*m + 5*d, 0 = -m - 4*d - 291608. What is m rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7467?\nAnswer: 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.9 + 21. Let x be 33\/7 - 34\/(-119). Let y = 43\/156 + -1\/39. What is the nearest to s in 4\/7, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 3*x - 3, -4*f = -4*x + 24. Let r = 22 + f. Suppose 13 = -q + r. Solve -7 = -5*b + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2*c**6\/3 - 12*c**5\/5 - 3*c**4 - 4*c**3\/3 - 100. Let f(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 7. Let k(o) = -o - 14. Let v(d) = 3*k(d) - 5*q(d). Let a be v(6). Let g(x) = 11*x - 2. Is g(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 15943?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -781*l**3\/3 - 1664*l**2 - 555. What is the second derivative of m(b) wrt b?\nAnswer: -1562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -17*v. Let s(p) = -28*p**2 + 2*p. Determine y(s(j)).\nAnswer: 476*j**2 - 34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001182073 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 1, k: 1, o: 2, b: 7, w: 2}. What is prob of picking 1 u and 1 k?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1\/4, 5, -8\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 c when three letters picked without replacement from bbbcbctttnnb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/189)\/((-21)\/686).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(240) + sqrt(60))\/sqrt(12)*6)**2 + (sqrt(5) - (-1*sqrt(500) - sqrt(500))**2) + 1*sqrt(5)*2 + -1 + -4.\nAnswer: 3*sqrt(5) + 12575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + v + 12, 2*g - g + 4*v + 6 = 0. What is the second derivative of 5*m + 196*m**g - 14*m**5 - 196*m**2 wrt m?\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -69, -139, -257, -435, -685?\n\"Answer: -2*z**3 - 6*z**2 - 2*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from okszssozzpsssszs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700*d + 681*d + 665 = 0. What is the remainder when 895 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/147 + 2596\/735. Calculate the common denominator of -37\/9 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 3*f**2 + 5\/4*f**3 + 7 - 3*f. Suppose z(d) = 0. Calculate d.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 - b. Let d(o) = -9*o**3 + 8*o**2 - 6*o + 1. What is d(w) - 6*q(w)?\nAnswer: -3*w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 - 28*q + 23*q)*(3*q**3 + 3*q**3 - 5*q**3).\nAnswer: -q**5 - 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103, 167, 223, 271?\n\"Answer: -4*i**2 + 76*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430518621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 384 + 344 = 7*o, -40 = -4*o + 5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttz. What is prob of picking 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bjjjjjjbvjjbjvbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1312175, 1312171, 1312167, 1312163, 1312159, 1312155?\nAnswer: 1312151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000342236 to 7 decimal places.\nAnswer: 0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 3184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*z - 22 = 0, -2*m - 3*m = 2*z - 16. Differentiate 4*a + 2*a**2 - m*a - 1 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386.1 + 386.102433. What is j rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100121 + 1001?\nAnswer: -1022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 11\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 951 and -49?\nAnswer: -46599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.75 (b) 0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09337+-0.96\nAnswer: -0.86663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0457 * 0.4\nAnswer: -0.01828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.424 - 0.124. Let q = -0.2 + 0.3. What is the nearest to -1 in -3, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 - l. Suppose 3*d = -12 - 6. Let s be a(d). Let k(t) = t**2 - 6*t + 9. Let c be k(s). Solve -5*v + 6 = -4*o - 11, 2*o = 3*v - c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7017, 15692, 26065, 38136, 51905, 67372, 84537?\n\"Answer: 849*d**2 + 6128*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 - 38*m**2 - 79*m + 397. Let a(s) = 4*s**3 + 20*s**2 + 40*s - 198. Let z(q) = -10*a(q) - 4*f(q). Factor z(r).\nAnswer: -4*(r - 2)*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 2*l**2 + 133*l - 63. Give y(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*g**4 + 1795248*g**3 + 512931*g**2 + 36638*g.\nAnswer: -g*(g - 36638)*(7*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 35\/10)\/((-2)\/644). Suppose 36*b - 13*b + i = 0. What is the second biggest value in b, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 98*y + 2255. Give r(-37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -4, 0.11, 10\/7, -388 in ascending order.\nAnswer: -388, -4, 0, 0.11, 0.5, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802249.\nAnswer: 7, 31, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-7))*a**(-4)*a)\/(a*a**(-6\/7)*a**(-1\/7)*a) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/4 + 33307*g**2 + 1865045*g\/4 + 3263743\/2 = 0.\nAnswer: -133214, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 18 = -3*j + 5*o, -4*j = 5*o - 132. Suppose p - 5*p = -4*b, -j = -4*b - 3*p. Solve -5*m + 5*r = -20, -3*m + 4*r = -b*m - 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -786 divided by -262\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:42 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -765 - -764.8. Sort s, -0.1, 183, -2\/7.\nAnswer: -2\/7, s, -0.1, 183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.95 (b) -1 (c) 10 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i**2 + 10*i - 10. Suppose 2*d - 1 = -17. Let k(o) = o**2 - o + 1. Let n(y) = d*k(y) - h(y). What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.041 + 1.459. Put o, 0, 2, 1 in descending order.\nAnswer: 2, o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (44 - -1) + (2 - (5 + -6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from nnxxnlxlllxl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 1. Let b = -6 - -4. Let p be s(b). Solve -p*j - 3*o - 1 = o, 3*j - 4 = o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + 438\/30. Suppose -4*m - 8 = 4*f - f, 4*f = -m - p. Solve z = -m, -4*c + 0*z = -2*z - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5814199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*i = 16 - 0, -3*n - 3 = 4*i. Let t(h) = -4*h - 8. Does 11 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2283328)\/512)\/(2\/(-32)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17088.43122ms to weeks.\nAnswer: 0.00002825468125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 383869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44576 divided by 11144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.72 + -51.18. Let u = -58.900000383 - q. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151075809 < 151075809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 6, b: 2, c: 1, n: 4}. What is prob of sequence bun?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1 + 4*a**2 + a - 1. Suppose -3*i - 7 + 1 = 0. Calculate the lowest common multiple of 1 and s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*(sqrt(320)*1 + 2 - sqrt(320)) + -3*sqrt(320) + 3 + sqrt(320) + 5)**2)*6.\nAnswer: -1152*sqrt(5) + 7902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*m - 2*h - 4, 0 = m + 5*h + 6. Let y be 11\/(-8)*(-2680)\/1474. Which is the third biggest value? (a) 3 (b) -1\/7 (c) m (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/11)*h\/h**(-6\/13)*h*(h**(-5\/4)*h)\/(h*h**24\/h) assuming h is positive.\nAnswer: h**(-12775\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 271*q**2 + 45*q + 36. List the prime factors of r(-6).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*f + 2 = -11, 2*b = -4*f - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 21*n - 14. Calculate v(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + (-4)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 6383*k + 487263. Give o(73).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7291324 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10654 = -12*m + 87130. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3993771 and 22296?\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3840 and 88\/49905.\nAnswer: 12775680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 248, 465, 790, 1259, 1908, 2773, 3890?\n\"Answer: 6*k**3 + 103*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 864 + 699. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130430 minus -139.8?\nAnswer: 3130569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(-13)\/(-26))\/(-9). Which is the closest to 0? (a) x (b) -2\/21 (c) 2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 30*y - 212. Let m be u(-6). Solve 31*b = 34*b - m*z + 20, -5*b - 24 = -2*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - 3*(-70)\/21. Solve 3*u - 76 + 70 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + 5\/(-4). Let n(b) = 2*b - 1. Let r be n(k). Let i(l) = -55*l - 20. Let s(h) = 8*h + 3. Suppose 103*d + 636 = -1424. What is d*s(p) + r*i(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 1 - r - r**2 - 2*r**4 - 6*r**3 + r**3 + 6*r**3 to f*r**2 + a + q*r + g*r**4 + v*r**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(3\/(-15)*35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*n + 2*n - 5*v, 2*v + 210 = -4*n. Let d = n - -97. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -30. Solve 0*g - 5*g - 25 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -360, -800, -1238, -1674, -2108, -2540, -2970?\n\"Answer: x**2 - 443*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2695463 is divided by 755.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 18 = -c. Let b(r) = -r + 4*r - 3*r**3 + 3*r**2 + 2*r**3. List the prime factors of b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*o - o, -4*f - 4*o = 0. Suppose f*v = 3*v. Suppose 4*p = 3*j + 5, v = -7*p + 2*p + 5*j. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 7*f**3\/6 + f. Let p(b) = 5667*b - 5667*b - b**2. Calculate p(m(v)).\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114622210 a multiple of 660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205862 divided by 178.\nAnswer: -102931\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 906, 1808, 2708, 3606?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = -n, -22 = -4*n + 3*h - 0. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 6) to base 16\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.151545382 rounded to 4 decimal places?\nAnswer: -4.1515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f + 2. Let a be u(1). Let j be (a - -8)\/((-2)\/(-6)). Is (j - -6) + 0 + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93724801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8783 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 206*d**2 - 248*d + 51077. Determine a(206).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.845289 - -0.3?\nAnswer: 43.145289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -0.18. Let h = i + 0.1. Which is the closest to -1\/2? (a) 1\/5 (b) 1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 2*h - 4. Let l be w(4). Let k be (6\/2 + -2)*l. Solve -k*n + n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768802 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o - 2*o + (0 + 0 + 2*o)*(65*o**4 + 62*o**4 - 113*o**4).\nAnswer: 29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338211746.\nAnswer: 2, 29, 37, 359, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5636083641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/220*(-3)\/9*(-2430)\/(-540).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713 - 710. Suppose 3*o = -o + 72. Calculate the lowest common multiple of o and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o + 32. Let i(c) = c - 5. Let v(m) = 39*i(m) + 6*n(m). Let b be v(1). Solve 1 = -b*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a88 (base 11) to base 16.\nAnswer: -a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5462 and -0.06.\nAnswer: -327.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + 1 - 0. Let l = 3 - 1. Let k(p) = 6 + 1 + l*p - p - 5. Determine k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62746 is divided by 20847?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 0, -23 in descending order.\nAnswer: 62, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10)*1*4. Suppose -h*t = -56 - 20. Calculate the remainder when 14 is divided by 21\/(-14) + t\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 3*q = 14*c + 14, 0 = 3*c + 2*q - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12876?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-231*i**3 - 294*i + 294*i)*(-16 + 54 - 16) in the form w + k*i**3 + n*i + p*i**2 and give k.\nAnswer: -5082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22866*d*w**4 - 1488*d*w**3 + 46*d*w**2 - 1993364*d*w - w**4 wrt w.\nAnswer: -548784*d*w - 8928*d - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 16 = j. Suppose j*k = 4 + 132. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 359972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440600 (base 7) to base 11.\nAnswer: 52a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 - 1800*q**4 + 29492*q**3 - 154104*q**2 + 282992*q - 156576 = 0.\nAnswer: -466, 1, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*s + 52*s - 133*s + 8*s + 9*s + 2*s + 0*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f - 17*f + 33*f + 3 - 18*f to the form k*f + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 9. What is the units digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*d + 123, 29 + 11 = y - d. Suppose -6*v + y = 7. Suppose v*b + 2*a = 120, 2*a - 7*a + 135 = 5*b. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(425) + 4 + ((-4*sqrt(425))**2 - sqrt(425)) + 2 + -3.\nAnswer: 75*sqrt(17) + 6803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6*z = -24, 7*k - z - 4 = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34292 - -10058. List the prime factors of h.\nAnswer: 2, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (224\/(-20))\/(1\/(-5)). Let x = 140 - n. Suppose x = 5*t - t. What is the greatest common divisor of 147 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/23 - 182*o\/23 + 2736\/23 = 0.\nAnswer: 19, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 612 = -97*t + 144*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2393*j**3\/3 + 3*j**2\/2 + 208*j + 936. What is the second derivative of h(z) wrt z?\nAnswer: 4786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50773299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = 2229*a - 2227*a. What is the lowest common multiple of a and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-77)*(-8 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*61\/549*(-2)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 101*j**2 - 103*j**2)*(-8*j + 6 - 6).\nAnswer: 16*j**3 + 64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 r when four letters picked without replacement from frffffffffffffffffff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1763, 2000, 2643, 3896, 5963, 9048, 13355?\n\"Answer: 34*l**3 - l**2 + 2*l + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r + 9*r + 5 + r - 14. Let z be o(3). Round z to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1840 by 23.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-18))\/((-3)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-2)**2 + -4*sqrt(20)\/sqrt(4) + sqrt(35)\/(3*(-2*sqrt(7) - sqrt(7))))*1 + 0.\nAnswer: -37*sqrt(5)\/9 + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v + 164 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1810 and 2172?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77618 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1418433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1192446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 26. Suppose z - 20 = -z. Let k = -8 + z. Solve c - 7 = q + 2, -k*q - y = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -15729?\nAnswer: -15745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105440 and 5920?\nAnswer: 3901280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -0*u - 4*u, -3*p - 2*u + 6 = 0. Solve -20*z - 172 + 132 = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*q - q - 51, -2*s - 2*q = -142. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/40 - z**5\/15 + z**4\/8 - 2*z**3\/3 - z**2 - 15*z. Is 34 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 7}. Give prob of sequence jzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -2\/801 (b) 3.6 (c) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 254*v**2 - 253*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158\/(-39) + (-778)\/(-15171)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 17. Does h = 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1, -1\/31, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o**3 + 64*o**2 + 38*o + 16. Determine b(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 312\/(-10) + (-4)\/(-10). Let b = d - -31. Sort 2\/19, b, 0 in increasing order.\nAnswer: 0, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414.1767ng to micrograms.\nAnswer: 0.4141767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -95, -3\/265, 1\/5, 4, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74754438 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26154039.\nAnswer: 3, 8718013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1187 + 9461\/8. What is the common denominator of ((-725)\/30 - 2\/(-4))\/(36\/27) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 12) to base 3\nAnswer: 210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 232032 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-1 + sqrt(1053) + sqrt(1053)))**2 + 4 + 0 - ((-4 + sqrt(39)\/sqrt(3))**2 + -4*sqrt(637))) + -4.\nAnswer: 18*sqrt(13) + 1025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (-95 - (-109 + 65))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {x: 1, n: 4, v: 4, s: 2, b: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 752\/241 or 3?\nAnswer: 752\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:54 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09663 - -0.90337. What is the nearest to 2.54 in g, -0.3, 0.3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*i + 1022 = 4*p, -p + 5*i = -267. Suppose 254 - p = -a. Solve -a*b + 4 = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180\/3058033 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-595)\/425 + 2*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) - (-4)\/(12\/15). Let v = f + -1. Put -3, v, -1 in increasing order.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4814.\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5285*k - 5284*k - 478*k**2 + 1 + 558*k**2.\nAnswer: 80*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 19 = -5*j, 2*d + 2 = 4*j. Let h(r) = 5*r**2 + 3*r**2 - r**j - 3*r**2. Let c(u) = 2*u. Determine h(c(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 450033 (base 7) in base 14?\nAnswer: 20c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511161, -1022310, -1533447, -2044572, -2555685, -3066786, -3577875?\nAnswer: -4088952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 1, w: 8, e: 2}. What is prob of sequence buew?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**2. Let v(d) = 606*d**2 - 6*d - 4. Let s be v(-2). Let a(l) = s*l - 2432*l - 8*l**2. Calculate a(r(f)).\nAnswer: -1352*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19958)\/180 - 8\/36. Let q = -111 - z. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Let a be (-2)\/(-11) + 0\/(-2). Sort a, 2, v in ascending order.\nAnswer: a, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {a: 1, w: 1, d: 1, x: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -9 + -1 + 3 - -14 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -5 - (-4012)\/(-442)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -161*q - 464. Let l(m) = -44*m - 116. Give -11*l(f) + 3*p(f).\nAnswer: f - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 23. Let l = -63 - -60. Let r be z(l). Sort 2, 3, r, 0 in descending order.\nAnswer: 3, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 148243\nAnswer: 4\/148243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 878940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - p - 2 - 4*p)*(-22*p**2 - 7 + 7).\nAnswer: -22*p**3 + 44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb9a40 (base 12) to base 2.\nAnswer: -1011011000000110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + t + 11 = 0, 15 = 22*o - 26*o + 3*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/9 + 46*y\/9 - 100\/9 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11308.74 micrometers in kilometers?\nAnswer: 0.00001130874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-4)\/8)\/((-3)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18794 = -856*r + 5174 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 4*a - 58, 2*p = -a + 46. Suppose u - 6 + 16 = 3*v, -5*v + p = -3*u. Solve x = -v*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25916114537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usfjfoko. Give prob of sequence ukf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 51*k - 9. Is i(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148768733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 482, 702, 910?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1149 + 119 = 4*u, -r = 2*u - 495. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l*l\/(l\/(l*l**(-14)*l)*l))*(l**(-4))**(-43) assuming l is positive.\nAnswer: l**191","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71885, -143769, -215653, -287537?\n\"Answer: -71884*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eees when four letters picked without replacement from {e: 11, s: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 487133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4466631, -4466630, -4466629, -4466628, -4466627, -4466626?\nAnswer: -4466625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Suppose -4*x + t + 372 = j, -5*x + 302 + 163 = -5*t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -66*d - 2. Let w(g) = -10*g - 161977. Determine x(w(t)).\nAnswer: 660*t + 10690480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6987319, 6987300, 6987281, 6987262, 6987243?\nAnswer: 6987224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 10*z - 18. Give a(14).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 10 = 0. Find the second derivative of -2*q**4 + q + q**2 - 5*q - q**f wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*y - f - 1260 = -424*y, 4*y + 3*f = -304. Let c = -18 + -62. Is c greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235 - -34?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53610 - 64970 = -80*g for g.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 3*z - 11. Determine x(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 7*p**2 - 8*p - 7. Let x(v) = 2*v**3 + 4*v**2 + 2*v - 2. Let o be x(-2). Let n be l(o). Let z = n + -2. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(w - 2*w + 3*w)*((3 - 5 + 3)*(4 - 3 - 3) - 2 + 32 + 8) to l*w + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*o - 2 + 4)*(5*o**2 - 5*o**2 + 2*o**4).\nAnswer: -4*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:57 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/7)*p*p)\/(p\/p**(8\/9)*p))\/((p*p**(1\/12)*p)\/p)**(8\/13) assuming p is positive.\nAnswer: p**(122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774*u = -810*u + 55944. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 165, 158, 131, 78, -7, -130?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q)\/(((q*q**(-2\/11)*q)\/q)\/q))\/(q**(13\/4)*q**(-7)) assuming q is positive.\nAnswer: q**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 654 and 126.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 4731*v**2 + 1300626*v - 1295896.\nAnswer: (v - 4438)*(v - 292)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -v, -2*v = 2*v - 5*d - 11. Suppose 3*m = v*g - 21, 5*m + 4 = -2*g - 5. Calculate the common denominator of m*(-1)\/18 + (-1115)\/210 and -30\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45) + sqrt(495)\/sqrt(11).\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -809*t**3 - 7*t**2 + 14. Let q(d) = -405*d**3 - 4*d**2 + 8. Give 4*o(h) - 7*q(h).\nAnswer: -401*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4950 = -14*x - x. Let w = x + 1323\/4. Which is the nearest to 3? (a) w (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/29 (b) -43 (c) -2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1242 divide 31214312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5135, 5048, 4893, 4670, 4379, 4020?\n\"Answer: -34*x**2 + 15*x + 5154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/14 + ((-644)\/(-882) - 12\/27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12*13\/78 + 0. Sort 33, h, 1, -4.\nAnswer: -4, 1, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056963498?\nAnswer: 2, 3, 3307, 53269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/65142 and -57\/36190?\nAnswer: 325710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/5 - 8\/2. What are the prime factors of g\/8*-3 - 7965\/(-36)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(50))\/((sqrt(60)*1)\/sqrt(6)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6990 divided by 2\nAnswer: -3495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h**3 + 178*h**2 + 182*h - 18. Let s(w) = -2*w**3 - w**2 - w - 3. Let q(z) = j(z) - 6*s(z). What is o in q(o) = 0?\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4418800 divided by 22094.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h**2 - 1. Suppose 0 = 4*z - 1 - 11. Let b = 4 - z. Calculate t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Which is the second biggest value? (a) 2 (b) u (c) 9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 6892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*b - 26*b - 32. Is b equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 120 = 474. Suppose -6 = 2*h, -30*b + 3*h = -z*b + 105861. Round b to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 2. Let t(x) = -11*x**2 + 10*x - 20. Let r(q) = 5*c(q) - t(q). Let n(z) = -z + 1. What is -10*n(g) + r(g)?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221332010131 + -2?\nAnswer: -221332010133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79\/51 in -6, 0, -2\/11, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m. Let z(t) = 11*t. Let g(q) = 3*q. Let v(a) = -5*g(a) + z(a). Determine -6*v(k) + 5*x(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -186791*c + 372123?\nAnswer: -186791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16856.3 to the nearest 100.\nAnswer: -16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14303.\nAnswer: 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139266, 557163, 1253652, 2228727, 3482382, 5014611, 6825408, 8914767?\n\"Answer: -r**3 + 139302*r**2 - 2*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 232*t**2 + 1760*t + 3456.\nAnswer: 2*(t + 4)**2*(t + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + 0 - (-2)\/(-2 + 1). Let c be (-3)\/18*(-1 - 1). What is the second biggest value in d, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, j: 2, i: 2}. Give prob of picking 1 g, 1 j, and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23832 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*w - 25, 2*w - 12 = -4*k + 4. Suppose -4*t + r - 17 = 0, -5*r + 6 = 1. Sort t, k, -1, 22.\nAnswer: t, -1, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*b - 387*b + 1625*b - 195*b - 376*b.\nAnswer: 367*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -4)*5\/((-10)\/(-16)). Let g be (-282)\/a + (-24)\/(-64). Calculate the greatest common factor of 153 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 g when four letters picked without replacement from ggvggvggvvvvggvvgvvg?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 894016151 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let b(r) = -2 + 2 - 4*r - 2*r - 5. Let z(h) = -h - 1. Let l(o) = b(o) - 5*z(o). What is l(f(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 59\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrxnrprxppr. What is prob of picking 1 r and 2 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -85) + -4999 + 4897\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 63. What is the common denominator of (-2)\/4 - p\/(-8) and 1\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954904519 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5884 = -4*u - 5*k, -2*u - 10*k + 2942 = -7*k. List the prime factors of u.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, 22, 5\/4, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68474587 divided by -353.\nAnswer: 193979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.273 + -0.027. Which is the nearest to 1? (a) s (b) -8 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 17*j = -12*j + 3, -5*k - 5*j = -25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21112 and 463008?\nAnswer: 13427232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 1693168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2217 is divided by 733?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + 4*l - 6. Suppose 2*c + 8 = h - 3*h, -2*h - c - 8 = 0. Let i(v) = -5*v**2 + 3*v - 6. Let m(q) = h*i(q) + 3*n(q). Differentiate m(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1294543854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1810 = -23*u - 476. Suppose 4*n - 3*y - 53 = -6*y, 2*y - u = -4*n. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125899 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Suppose -7 - 21 = -2*q. Let i = -14 + q. Let b(y) = 0 - 4*y - 8*y + i. Give k(b(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m + 4*m + (m - 1 + 1)*(5 - 5 - 1) + 3*m - 3 + 3)*(-40*m - 8*m - 39*m).\nAnswer: -348*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 7 = -4*v. Let n = 32 - 32. Let x = v - n. Calculate the greatest common divisor of 80 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841461.\nAnswer: 19, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24611 (base 11) to base 6.\nAnswer: 431344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 10. Calculate the highest common divisor of 96 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -57. Let t(w) = -w**r + 3*w - 6*w + w - 4*w - 5. Suppose 4*g = 12, -3*y - 5 = 5*g - 2. Calculate t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*2)\/sqrt(3) - (((sqrt(5) + 1)*1)**2 - sqrt(5)).\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 35 = 53 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -357 (c) 0.3 (d) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmrrrmrzrlllnmz. What is prob of sequence mz?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2059 + -2054. Let o be (-2)\/(-7) - 33\/(-7). Solve 0 = o*t + k*b, -2*b + 3*b + 18 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24830280 to the nearest ten thousand.\nAnswer: -24830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47471903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2 + 18*v. Let b(m) = -m**2 + m. Let h(y) = -3*b(y) + q(y). Find the second derivative of h(r) wrt r.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320.4 - 7488567\nAnswer: -7488246.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16515 + 36328. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 1 - 3*j**2 - 1. Let q(t) be the second derivative of -10\/3*t**3 - 78*t + 0 - 1\/2*t**2. Determine a(q(z)).\nAnswer: -400*z**2 - 40*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.78 + 0.02. Let p = g + -1.79993. Round p 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 sequence rk when two letters picked without replacement from {k: 1, f: 2, h: 2, r: 4, l: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 5064712?\nAnswer: -2025884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - w**2 + 3*w**2 + 4*w + 3*w**2 - 4*w + (-5 + 5 + 3*w)*(2*w + 1 - 1) + 34*w**2 + 72*w**2 + 4*w**2.\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g + 6*a = -72, 101 = -4*g - 3*a. Suppose 8*c - 96 = 12*c. Does g = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.2 - 11. Let n = 0.2 - k. Which is the closest to n? (a) -0.4 (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11544 and 307656?\nAnswer: 147982536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 - 457*f**3 - 15557*f**2*q + 8*f*q + 2*f + 36*q - 488 wrt f?\nAnswer: 36*f**2 - 2742*f - 31114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-4)*(-312)\/(-195). What is the fourth biggest value in -3, -2, -5, -8, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from dfccf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 8. Suppose -2742*m = -2783*m + 82. Put 1, 20, m, o in increasing order.\nAnswer: o, 1, m, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a + 5. Let f(m) = 4*m**3 - m**2 + 2. Calculate the remainder when f(a) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let c(v) = -4*v + 13*v + 3*v - 3 - 7. Let j(b) = 4*b - 3. Suppose -4*r = -3*r + 3. Let i(y) = r*c(y) + 10*j(y). Give i(a(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zie when three letters picked without replacement from ciieziecueccc.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 + 3*y**2 - y**2)*(5 + 7 + 2*y + 9) - 2*y**3 + 4*y**3 + 0*y**3 in the form p*y**3 + q*y**2 + d*y + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeezeeeeeeee. Give prob of sequence ze.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/23, 0.4, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 14, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270418 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*u**5 - 54*u**5 + 119*u + 113*u**5 + 2*u - 3*u**5 - 2*u + u**5 - 3*u**4 + 3*u**4 + (2*u**3 + 5*u**3 - 4*u**3)*(-5*u**2 + 3*u**2 + 0*u**2).\nAnswer: -10*u**5 + 119*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*g**4 + g**4 + 0*g**4)*(-4 + 1 + 2 + (0 - 3 + 2)*(0 + 1 + 1)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 12593*j**2 + 0*j + 12591*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8) + 3 - (10 + 5 + (5 - -1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 194 + 873 = 0. Put -4, 3, -1, n in increasing order.\nAnswer: -4, -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 2. Let k be c(2). Suppose 341 = 5*s - 2*f, -5*f + 347 = 5*s - k*f. Suppose -24 + s = 5*g. What is the highest common factor of 72 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 61*o + 277. Determine y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3582 - 2258. List the prime factors of n.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*o + (-79*o + 154*o - 119*o)*(-2 + 0 + 0) + o + 0 + 0 + 0*o + 3*o - 2*o.\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.08. Let i = -0.0198 - l. Round i to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002647 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/19 + 23468*h**4\/19 - 117374*h**3\/19 + 187816*h**2\/19 - 93912*h\/19 = 0.\nAnswer: -11739, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 67*p + 0*p**2 - 28\/3*p**3 - 14. Differentiate y(t) with respect to t.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrh when four letters picked without replacement from rrrrrhrrrrrrrrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69730\/7 + 9962. Factor 8\/7*p**2 - 8\/7 + 4\/7*p**3 - b*p.\nAnswer: 4*(p - 1)*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -6.06, 0 in descending order.\nAnswer: 3, 0, -0.4, -6.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.191527 - 1.1875. What is h rounded to 5 decimal places?\nAnswer: 0.00403","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -747*f + 2011*f**2 - 4433*f**2 + 1751*f**2 wrt f.\nAnswer: -1342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -46 + 2*g + 22 + 22 - 2*g**3 + 2*g**2. Let y(h) = 2*h**2 - 44*h + 2. Let f be y(22). Determine c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1\/(-1) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1890, -1302, -322, 1050, 2814, 4970, 7518?\n\"Answer: 196*f**2 - 2086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11023 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let l = u + -0.9. Let x = l + 1.4. Which is the biggest value? (a) 1\/7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -109*s - 892. Give n(-7).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14033 - -1?\nAnswer: 14034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 900764718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - 111.86. Let x = 111.7 + b. What is the fourth biggest value in -0.4, 0.4, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1372026 and 804.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -101.6. Let o be 120\/16 + 3\/2. Sort i, -2\/7, o, 4.\nAnswer: i, -2\/7, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, 6, -14, 1 in decreasing order.\nAnswer: 6, 1, 0, -14, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -49545.355 to the nearest ten.\nAnswer: -49550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = 3*i, 21*l - 3*i - 21 = 24*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 209 (base 14) to base 11\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29330*x + 674592. Give f(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*n**6 - 422*n**5 + 169*n**2 - 26 wrt n.\nAnswer: -4680*n**3 - 25320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 10*b - 32 = 0. Let c = 46 + b. Let d = -10 + c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7175648 + -3?\nAnswer: 7175645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4271 + 14216. Is q a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = -2*w + 1, 3*w + 6 = -r. Let k(v) = -2*v**2 - v + 3. Let h be k(w). List the prime factors of 96*(-1)\/3*h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6 + 2) + 2. Suppose -n + 2 = s*h, -5*n = 3*h - 12 - 15. What is the greatest common factor of n and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -42*q - 2020. Let t be l(-48). Let z = 1 + -2. Let g = 0.6 + z. Which is the closest to 1\/4? (a) 5 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u + 14. Give v(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**3 + 36*i**2 + 18*i + 64. Let j(c) = 5*c**3 + 13*c**2 + 6*c + 21. Let m(o) = 3*f(o) - 8*j(o). Determine m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 158703584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y - 11*y - 7*y)*(40 - 24 - 24)*(1 - 1 - 2*y) in the form q*y**2 + c*y + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1120?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 16 + 116 = 0. Suppose -4*w - 2*j = m, 0 = -4*j - 5 - 3. Which is the closest to -1\/4? (a) 1 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34*58\/(-13804))\/((-20)\/(-14)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83923 divided by -11989\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqqqktm. What is prob of picking 1 k and 3 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.13 (b) 0.1 (c) 4 (d) -9274\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/560 and 23\/5320.\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 21.4, -4, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 76\/(-20) - 1)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 1180\/(-60))\/((0 + -1)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 3. Let l(z) = -z**2 + 4*z - 5. Let p(a) = 3*k(a) + l(a). Calculate p(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55488 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 54*b**5 + 237*b**4 + 162*b**3 - 21*b**2 = 0.\nAnswer: -7\/2, -1, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 191, 273?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 0. Let g = -164.81 + 1.81. Let q = g - -162. Which is the nearest to z? (a) 0.1 (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 5*b - 27. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -9 + (8 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1497 and 3.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/3, 12904?\nAnswer: 12904","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129.943 - 130. Let z = -0.056999792 - a. What is z rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15090*v + 422471. Calculate g(28).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**2 - 3*y + 23. Let o(d) = d - 23*d**2 + 34*d**2 - 8 - 15*d**2. What is -17*o(s) - 6*p(s)?\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 986517.37 to the nearest 1000.\nAnswer: 987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 130 = 5*c - 122, 0 = 4*t + 2*c - 240. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-70))\/((-11)\/33).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjddddddjddddj. What is prob of picking 1 j and 1 d?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21231 and 4575?\nAnswer: 32377275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 11 + (6 - 10). Let n(f) = -9*f + 0*f + f + j*f. Let s(o) = 51*o. Give n(s(d)).\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05704597 and -24632839.\nAnswer: -24632839.05704597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1523961 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 6. Let h(n) = 4*n + 12. Let w(a) = -3*h(a) - 5*x(a). Let i be (6\/2 - -1)*-1. Give w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 16. What is v(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*a = -21, 0 = 2*i + 2*a - 5 - 7. What is the lowest common multiple of -2 - -9 - -2 - i and (35\/(-28) - -2)\/((-36)\/(-96))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 12*t**2 + 8*t - 10. Let a be 18 + 5 + (1 - (2 + 2)). Suppose 0 = a*s - 19*s - 6. Calculate the smallest common multiple of v(6) and s.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - -166)*(-2)\/(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/3 - 1561\/(-175)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.151 + 66.151. Let x = 0.90635558 - 66.90635622. Let o = x + n. Round o to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f - 0*f. Let j be 1\/(f\/((-2)\/(-12))). Which is the biggest value? (a) -0.1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 400, -5 in increasing order.\nAnswer: -5, -2\/3, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 13) in base 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.985 + -33. What is t rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032931038 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801 plus -8781613?\nAnswer: -8779812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6669346 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -35.5 times 1\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284372 or 284335?\nAnswer: 284372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447172119.\nAnswer: 3, 49685791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370347.4850067 - 370375.485. Let n = 28 + p. What is n rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 104. Suppose -3*g = g + q. Let n be 6\/8 - (-6)\/g. Solve n = v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.4 + 103.4. Let k = -97 + g. Put k, -43, 3 in decreasing order.\nAnswer: 3, k, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.87 - 0.87053. Round v to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*v + 3, -21*z + 17*z = -2*v + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 10*y**2 + 21. Suppose -24 = 2*r - 4*u, -u + 45 = -4*r + 4*u. Let t be s(r). Suppose 432 = -15*a + t*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*u - 14 - 26, -2*u + 20 = -3*t. Let o = 15 - u. Let a(w) = 8*w + 11. Is a(o) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 32 = -3*t, -26*q = -25*q - 2*t + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {h: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 726*y**2 + 120*y + 362. What is the thousands digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2798819150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, 0.238, 34635 in decreasing order.\nAnswer: 34635, 0.238, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 1. Let y be m(0). Let v(f) = 9*f**2 + f. Let b be v(y). Is 9 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -24, -104\/47?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*d = -704*d - 728*d + 2124*d - 1134 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 - 104. Solve 31 = z*v + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237687405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2\/11, 5, -4, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2685 + -2676. Solve b*o - 11*o = -j + 3, j - 9 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 12077.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.756934 at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27936445463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3\/2 + 276*t**2 - 8955*t\/2 = 0.\nAnswer: -199, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*(16 + (-6 - 8)). Suppose r - 4*r + 39 = -3*t, r - 4 = -2*t. Let q = -7 + r. What is the highest common factor of q and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)\/(y*y**(-1\/23)\/y) assuming y is positive.\nAnswer: y**(-482\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 2001.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14566.99168 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8659 = -108*u - 6823 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 14 = -3*j, 0 = 16*c - 19*c - j + 14. Calculate the remainder when 442 is divided by 7 + 2 + 12\/c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12164592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2393*z - 5952*z + 2754*z.\nAnswer: -805*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3306 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*u - 117, 4*x + 0*u - 3*u - 153 = 0. Let v be 105\/10*4\/x. Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 124336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -647 divided by -32787\nAnswer: 647\/32787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - -1*sqrt(171))*4 + sqrt(171))\/(sqrt(9) + sqrt(54)\/(sqrt(6)*-2) + sqrt(9)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2074\/170 + ((-2)\/(-10))\/(-1). Let x be (h\/60)\/(2 - (-26)\/(-10)). Which is the third smallest value? (a) x (b) 0.1 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 610236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/4 + 35761*a**2\/2 + 71525*a + 71526 = 0 for a.\nAnswer: -2, 71526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 3. Let k be g(2). Let a(h) = h + 11. Let n be a(-7). Suppose -u = 2*r - r - k, -r - n*u + 4 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/60 - 11*w**4\/24 - 11*w**3\/3 + 15*w**2. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0051 (b) 36\/13 (c) 92 (d) -4\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 45423 = 7*j. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o + 0 - o - 7 - 3*o with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 26 + -14 - (-9 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 8 - 24. Suppose -17 - 39 = -k*g. Calculate the remainder when 40 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/(24\/(-40)). What is the fourth biggest value in 0, 0.2, p, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -421*t**9\/63 - t**7\/210 + 3*t**5\/5 + 5*t**3\/2 - 6993*t**2. What is the third derivative of s(m) wrt m?\nAnswer: -404160*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -102 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 0, 2*p = -4*w + 8. Suppose 3*c + 5 = w*t + 16, -4*c = t. Let a(z) = 2*z - 4*z - z. Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5))\/((-152)\/(-380))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 = 3*a + 5*n, 0 = 5*a - 7*a + 4*n + 828. Calculate the greatest common factor of 515 and a.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 1*sqrt(91)*1)\/sqrt(7).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 6:00 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 7)*(k**3 + 0*k**3 + 0*k**3).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = 2*l - 120, 5*y = -3*l + 190. Let a be (4 + l)\/(2\/17). Suppose 5*i + 3*c = -0*c + 796, 5*c - a = -4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1602*l - 8060. Calculate t(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87? (a) -3 (b) -0.2 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w**4 + 26*w**4 - 3*w**3 - w**2 + 3*w**4 - 2 to the form g*w + k*w**4 + j + b*w**3 + t*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:43 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 24 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14608429399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246748669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 19 + 203. Put -4, -0.5, f in decreasing order.\nAnswer: -0.5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728523001 is divided by 5689?\nAnswer: 5686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -0.2, -12, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.012 - -3.988. Let h = 0.4262 + -0.3262. Sort 0.034, a, h.\nAnswer: 0.034, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 3, -1\/2, 234, -5 in ascending order.\nAnswer: -5, -1\/2, -3\/7, 3, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3852, 5, -13, 31, 0.\nAnswer: -13, 0, 1, 5, 31, 3852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28987 and 79891?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03656119 rounded to 4 dps?\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 90204 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2. Suppose -a*m = 4*w - 36, -w + 7 + 6 = 2*m. What is the second derivative of 0 + 8*z - m + 4 + 3*z**3 wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*g - 32, -2*g = 3*h - 8*h + 48. Let a(x) = -x - 3. Let s be a(-4). Solve z = 4*w - h - s, -3*w + 18 = -4*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 8. Let r be c(-6). Let f be (-7)\/(-35) + (-112)\/(-40). Let d be f*1 + -11 + 66\/6. Solve -d*b = -r*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + (-6 - -1) - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 251 = -4*r + 2*r, 4*r + 3*o = 507. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*d - 44. Suppose 0 = -j + 5*j - x - 85, -5*j + d*x = -98. Calculate the remainder when 65 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*x - 1 + 6, -x = 4*m - 16. Suppose -568 = x*v - 0*v. Let k = -218 - v. What is k rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458.28 rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/6 + 13*p**5 - 575*p**4\/2 + 3070*p**3\/3 - 2945*p**2\/2 + 961*p + 214. Factor l(a).\nAnswer: -(a - 31)**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5835 to 2 dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*c + 20, c - 5*r = -4*c. Suppose 4*u - 3*p - 188 = p, -u = -c*p - 59. Calculate the greatest common divisor of u and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 3*g**2 - g**2)*(-3*g + 3*g - g**2) + (2*g + g + 0*g)*(5*g**3 - 2*g**3 - 53531737*g + 53531694*g - g**2).\nAnswer: 7*g**4 - 3*g**3 - 129*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 400\/(-125)*175260\/(-24) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 125 = 5*w + 2*p, 0 = -3*p - 15. Let n be 1\/(-1) - w\/26. Which is the nearest to 1? (a) 3 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.9 + -144.9. Let m = l + 129.228. Round m to two decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 531 - 1064 + 533. Let x(h) be the second derivative of -h**4\/2 - 5*h**2\/2 + 10*h - 6. Give r(x(q)).\nAnswer: 18*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 + 3*a - 6. What is g(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + c + 13 = -0*c, -3*c - 9 = 0. Let u be r\/3*126\/(-28). Solve 2*f + u*i = 7*f + 32, -4*f - 12 = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4329.7 and 32.5.\nAnswer: 4362.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 234, 4 in increasing order.\nAnswer: 1, 4, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 45 = 4*t - 3*t, -3*t + 2*c = -151. Suppose -3*y + r + t = 0, 2*r = -4*y - 0*y + 74. Let w = -12 + y. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y - 107*y - 7626 = 101*y - 89*y for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 9 in decreasing order.\nAnswer: 9, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -16, -259, 1551?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 4\/5, -3, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/4)\/((-1239)\/1652).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11)*3 + sqrt(1584)*2.\nAnswer: 5 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6070 - 2786. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**3 + 5*h**2 + 9*h + 4. Let c(d) = -d**3 + 1. Let p(x) = -6*c(x) + k(x). What is the remainder when p(6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/28*14\/3)\/2. Let v(s) = -7*s**2 - 2*s + 1. Give v(x).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 3. Let y be x(-2). Let k = -141 - y. Round k to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*s**3 - 1168860*s**2 + 667872*s - 95408 = 0. What is s?\nAnswer: 2\/7, 5963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58.16 and 1.\nAnswer: 58.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16709*o**2 - 8416*o**2 + 12 - 8462*o**2 as l*o + n*o**2 + p and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2126 = -13*k - 2061. Put -28, -2, -5, k, -4 in ascending order.\nAnswer: -28, -5, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l**4\/7 - 500616*l**3\/7 + 3524139*l**2\/7 - 6167706*l\/7 + 292536\/7 = 0.\nAnswer: 2\/41, 3, 4, 4063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -3693\/11. Calculate the common denominator of o and 20\/7 - (2 + 5\/(-2)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314198914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 7}. Give prob of picking 3 e and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.193229 minus 0.5?\nAnswer: 291.693229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16*1\/(120\/(-90))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 20. Let j be r(3). Is j equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1949, 102, 357, -5 in descending order.\nAnswer: 1949, 357, 102, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.84058 - 6.42597. Let k = 4.915411 + o. Let w = k - 0.33. What is w rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x + 4*m, m = 2*x - 0*m - 22. Let g = x - -12. Suppose -3*b = -g - 134. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v**(1\/17)*v))\/(v\/v**(-7)))**(10\/13))**31 assuming v is positive.\nAnswer: v**(-42470\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbjjjjjjbbjbjbb. What is prob of picking 2 b and 1 j?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93569 (base 14) to base 9.\nAnswer: -601028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30225, 60468, 90731, 121014?\nAnswer: 151317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -20*g**2 - 17*g + 14. Suppose -4*t = -0*t + 24. Let a(c) = 7*c**2 + 6*c - 5. Calculate t*l(w) - 17*a(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7099805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (3 - 3))\/(-2). Let d be 3\/3 + (0 - -4) + v. Suppose 17 - 75 = -4*f + 2*z, d*f - 2*z - 72 = 0. What is the lowest common multiple of 1 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 154*k - 58. Let z(y) = -152*y + 70. What is 6*m(h) + 5*z(h)?\nAnswer: 164*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 4*h**2 + 0*h**2 + (2*h - 3*h + 3*h)*(5*h - 3*h + 0*h) - 2*h**2 + 4*h - 4*h + 5 + 6*h**2 - 5 as o + r*h**2 + i*h and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafvvvavavmvfava. What is prob of picking 1 f and 1 a?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3825655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 10. Let a be (-248539)\/(-18) - g\/24. Let c = a - 13805. Calculate the common denominator of c and 71\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 1255 - 1210 = 0. Let l be (-500)\/6 + -1 - 0. Let y = g + l. Sort y, 0, 2 in increasing order.\nAnswer: 0, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2375 + 0*d + d + 2374. Let c(q) = 5 + 3 - 11 + 7 - q. Determine 3*a(z) + c(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 + -797?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28366, 56730, 85094, 113458, 141822?\nAnswer: 170186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/5 + 4*h**4 - 18*h**3 + 28*h**2 + 44*h. Factor n(f).\nAnswer: 4*(f - 1)**2*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = 2*d + 305. Let v = 538 + d. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, 53, -0.4, 3, 2 in increasing order.\nAnswer: -3, -0.4, 1\/5, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*v = -v + 5, -30 = w + 2*v. Let l = w + 41. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*h + 22, 0*h - 21 = -5*v + h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-11))\/7 - (-8938)\/451. Solve 5*c + u = -3*z, 11 = 81*z - 84*z + 4*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/(11\/(-11))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2714838787 to the nearest integer?\nAnswer: 52104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27541038.\nAnswer: 2, 3, 7, 113, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/18*((-14)\/((-1036)\/(-333)) - (-6)\/4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 619.4 times 0.3\nAnswer: 185.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/75 (b) -39.8 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -9, 0, -3, 4, 1, -4405 in decreasing order.\nAnswer: 4, 1, 0, -3, -9, -32, -4405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35461485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + l - 3*l = 32, -2*l = -5*j + 40. Let v be (-2)\/(-6) + 19\/(-3). Let t = j + v. Solve -n + t = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560705*o**3 + 81*o**2 - 5*o - 124?\nAnswer: 3364230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/7 - 186*r**2\/7 - 1485*r\/7 - 2862\/7.\nAnswer: -3*(r + 3)*(r + 6)*(r + 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 100 - 144 = 0. List the prime factors of c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1994100 divided by -300\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*s = -5, x + 1559*s = 1563*s + 5. What is the remainder when 226\/6 + 1\/3 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/28*2\/6*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.55 + -20. Let d = -0.05 + j. Let b = d - -3.549. What is b rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94247742?\nAnswer: 2, 3, 557, 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/195 and -37\/16820.\nAnswer: 655980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -467, -689, -895, -1079, -1235, -1357, -1439?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 8 = 4*m, -48 = -171*m + 171*m + 12*y for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 37. Suppose -f*h - 8 = -4*x + 17, 0 = h + 3. Suppose 0 = -b + x*b + w - 80, b - w - 32 = 0. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96189*i + 1 - 1.\nAnswer: 96189*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -672 < -683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2853*l + 161551 - 16048 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 0.4, -3.944, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 12. Let g(h) = -h - 10. Let j be g(-5). Let y be i(j). Let s be y\/2 + 0 + 3. Is s bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggnghnhhgnnhh. Give prob of sequence hhn.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (5 - -14)) + 29 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -13. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q - 8. Suppose -y + 5 = -h, -6*y + 16 = -2*y - 3*h. Let m be z(y). Let s(r) = -6332*r + 20. Let k be s(m). What is k rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -20. What is the second derivative of -15 - 3*z**5 - g + 34 + 9*z wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 + 5.2. Let j = q + 24.9. Let t = -24.998 + j. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 - 243. Solve 0 = -10*p + u*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a6b4 + 1d?\nAnswer: 4a6d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43166.61 years in months?\nAnswer: 517999.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21039, -41524, -62009?\nAnswer: -82494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53971.95mg to kilograms.\nAnswer: 0.05397195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:52 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306 - -11. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-198))\/(24\/(-108))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 124*p - 100. Let g = -178 + 180. List the prime factors of d(g).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740286 is divided by 4776.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5752948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x**(9\/8)*x)\/x*x)*x**(-5)*x**(3\/2)*x**(1\/25) assuming x is positive.\nAnswer: x**(-1117\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 3*n - 16 = 2*h - 0*n, -2580*h - 78 = -2575*h - 2*n for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1562349083 to the nearest integer?\nAnswer: 39527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 78 + -70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -6\/5 (c) 315814 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 3 - -7 - 13) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -13640\/81469 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 1459?\nAnswer: -16\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + -3 + 5 - sqrt(55)\/(sqrt(11)*4)) + (sqrt(5) + 2 + -2 + (sqrt(5) - (sqrt(125)*-2 - sqrt(125))))**2.\nAnswer: 7*sqrt(5)\/4 + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:56 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -550564*i**5 + 81477536*i**4 + 861960608*i**3 + 1401112064*i**2 + 15031232*i + 40448 = 0?\nAnswer: -8, -2, -2\/371, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 22. Let v be s(4). Let r be (-32)\/24*6 + 8\/v. Which is the biggest value? (a) 3 (b) r (c) 1\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3722 + 606684\/163. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 17*w**2 - w + 23. Let h be l(17). Suppose 76 = h*q + 16. Suppose 0*t = 4*t - 76. Calculate the remainder when t is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 + 136*x - 28. Let p(r) = 2*r**2 - 45*r + 10. Determine -4*o(l) - 11*p(l).\nAnswer: -2*l**2 - 49*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 1. Let x be i(2). Suppose -x*o = -3*y + 137, o + 0*o = 5. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -1\/2, -5\/2, 20, -3\/16, 6\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 3, l: 2}. Give prob of sequence ls.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:09 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11728, 11738, 11756, 11782?\n\"Answer: 4*u**2 - 2*u + 11726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -95. Suppose -4*i + k - 72 = i, -75 = j*i + 5*k. Is 1\/5 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 8*m**2 - m - 4. Let p be v(-8). Suppose -q = 3*f - 23, 52 = p*q - f + 3*f. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2681, 5329, 7979, 10631?\nAnswer: 13285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -491*b**3 + 2*b - 2. Let o(s) = -119315*s**3 + 487*s - 487. Calculate -487*h(u) + 2*o(u).\nAnswer: 487*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4393, 16607, 49819, 114529, 221237, 380443, 602647, 898349?\n\"Answer: 1750*f**3 - f**2 - 33*f + 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n - 3. Let w(v) = -v**3 - 2*v**2 - 2. Let z be w(-3). Let o be r(z). Factor 0*c + 2\/9*c**o + 0 - 4\/9*c**3 + 2\/9*c**2.\nAnswer: 2*c**2*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkn when three letters picked without replacement from {b: 1, y: 1, n: 1, q: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93008563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3647725 meters in millimeters?\nAnswer: 364.7725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 793145 and 24820?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -183. Calculate the greatest common divisor of q and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 435 (b) -1\/6 (c) 3 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t - 3, 3*t + 7 = -a. Let p(q) = -q**2 - 3*q + 3. Let w be p(a). What is the common denominator of (2\/(-6))\/(w\/(-24)) and 59\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**3\/3 - 5. Let f(w) = 4*w + 1 + 0 + 2. Let i(l) = 9*l + 7. Let d(p) = 7*f(p) - 3*i(p). Calculate h(d(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose 5*u - 162 = z - 3*z, -i*u + 161 = z. Let g = -7 + u. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3*q**3 + 5*q**3)*(349*q - 89*q**2 - 686*q + 342*q).\nAnswer: -89*q**5 + 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 40 - 30. Suppose -v*t + 4 = -0*t. Determine z, given that 2\/13 + 2\/13*z**t + 4\/13*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24.13. Let f = u - 0.07. Let i = 47 + -140\/3. Sort f, i, -4.\nAnswer: -4, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.1. Let b = 188 + -176.6. Let w = b - 9.4. What is the fourth smallest value in 0, -0.4, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g + 9. Let r = -1 - 3. Let c(q) = -3*q - 6. Let t be c(r). Does 4 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*1*sqrt(847) + sqrt(847) - (sqrt(567) - (5 + -1 + sqrt(567)) - (-1 + sqrt(567))*-4))**2*3.\nAnswer: -2538*sqrt(7) + 46632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.1 + -27. Let f(r) = -r**3 - 4*r**2 - 2*r - 6. Let j be f(-4). Suppose g - j + 6 = 0. Which is the nearest to 1? (a) g (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 69*y**2 - 61*y - 156. Calculate n(-21).\nAnswer: -1521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734758*r**2 + 736688*r**2 + 4 - 4.\nAnswer: 1930*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 513 - 514. Let d be (1 - -5)\/(6\/4). Sort -3, d, m, 3 in decreasing order.\nAnswer: d, 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 2. Suppose -3*g - 3 = s*z, 4*z + 3 = -2*g - g. Suppose z = 7*l - 81 - 290. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23613 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k**4 - 2*k**4 - k**4)*(-246 - 217 - 352) to the form a*k**2 + j*k + p*k**3 + y*k**4 + x and give y.\nAnswer: 8965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1349659 + 16?\nAnswer: 1349675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*k = 1168, -5*c + 1159 = -c + k. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -1 + (-1375)\/(-220))\/(3\/4). Let l = -2.5 + 2. Let o = l + 0.3. Which is the second biggest value? (a) 1 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8011?\nAnswer: 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 264*y - 253*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 0*g + 0*g)*(-4 + 5 - 2) - 5*g - 23*g + 4*g)*(-g**2 + 2*g - 2*g).\nAnswer: 25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:48 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 15, n: 3}. Give prob of sequence nn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 908 - 874. Let b = 65 - 38. Let i = b - 10. What is the highest common factor of x and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 108. Let y be ((-77)\/p - 4)\/((-1)\/12). Suppose 13 + 3 = y*t. Solve 5*x - t*f = -6, -10 = -2*f - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5269553 divided by -1\nAnswer: 5269553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 + 110*q**3 - 15*q**2 - 340*q - 220 = 0.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 7*f + 1. Let j(y) = -y**2 - 6*y. Let s(h) = -3*j(h) - 2*q(h). Let x be s(-4). Is 10*(-15)\/x - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2976508, 5953029, 8929548, 11906065, 14882580, 17859093, 20835604?\nAnswer: 23812113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039986887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18195 - 18194.8. Which is the fourth smallest value? (a) 1 (b) 5 (c) 2\/49 (d) -5\/9 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-714)*21*(-14)\/1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f + 665. Let i be g(51). Solve -i*c - 2*c = -2*l, -4*l - 5*c - 13 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-1800)*(-6)\/(-35)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 3312 = -3340. Let n = -12 + 7. Which is the nearest to 1? (a) p (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q + 3*q - 98. Calculate the smallest common multiple of 2 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*l + 36 = 0, n + 3*n - 28 = -3*l. Let a = 9 - n. Let s = -4 + 7. Put -3, a, s in decreasing order.\nAnswer: a, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 319 = 319. Let n = 9 + -14. What is the closest to 0 in c, 4, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62974 - 62967. Suppose 0 = -2*x - i + 28, -5*x - i + 64 + 9 = 0. What is the remainder when x is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2721*n + 27223. Determine x(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(72)\/(sqrt(6) - -1*sqrt(6))) - (sqrt(1216)*-1 + -5)**2)*3.\nAnswer: -3723 - 234*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8a17b (base 12) to base 10\nAnswer: 183407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -506 + 457 - (-5 + 8)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/60 and -23\/2172?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -21*a**2. Let x(z) = 7*z**2 - 8. What is x(b(j))?\nAnswer: 3087*j**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5154136968 to the power of 1\/2, to the nearest integer?\nAnswer: 71792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1827 greater than or equal to 76174\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11885 - 11858. Solve 30*f = z*f + 21 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46179*d**5 + 24*d + 187 wrt d?\nAnswer: -923580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-882)\/(-77)*28\/((-2436)\/(-319)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69.43 - -37.43. Put -0.2, -7\/3, j, -1 in ascending order.\nAnswer: j, -7\/3, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2925*s - 2930*s + 3*v = -23, 4*v + 16 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 13*l - 14*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/7 + 83488*i**2 + 1168838*i\/7 + 584420\/7 = 0.\nAnswer: -1, 292210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009466 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**2\/2 + 23. Let z(s) be the third derivative of -s**4\/12 + s**3\/2 - 19*s**2. What is m(z(y))?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 48985.02um?\nAnswer: 0.00004898502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*s - 52 = 0, -y + 0*s = -5*s - 12. Let c = y - -10. Solve 5*k - 1 = 6*k - z, 0 = -4*k + c*z + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -639.144536 and 493400.\nAnswer: 492760.855464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - j - 109 = 0, 12*f + 2*j - 337 = 9*f. Suppose -297 + f = -62*l. Solve 7*x = -l*x - 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 - 7*f - 4. Suppose 0 = k + 2*x, 2*k + 3*x = 6*k - 11. Suppose -k*c + 24 = 2*c. What is the remainder when c is divided by q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -703, -725, -827, -1063, -1487?\n\"Answer: -9*h**3 + 14*h**2 - h - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 16. Let h be k(-18). Sort 5, 0, 4, h in ascending order.\nAnswer: h, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-13)\/(-7)) + 138 + -135.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 892\/5 + -10639\/60. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/19)\/n*n)\/(n\/n**17)*n**(-3\/17)*n**(-1\/14))**(2\/13) assuming n is positive.\nAnswer: n**(75515\/29393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/11 - 194*n**4\/11 + 2414*n**3\/11 + 23778*n**2\/11 + 55728*n\/11 + 34560\/11 = 0.\nAnswer: -3, -1, 24, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14181194?\nAnswer: 2, 7090597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-8 - -9 - 14)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 5*n + 1. Let y = 6 + 5. Let w = -6 + y. Let v be g(w). Which is the nearest to v? (a) -0.1 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2276*s + 42 = 2270*s, 5*l - 3*s - 42 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3*h + 2*a**3 + 2*a**2*h - 3*a**2 + 5*a*h + 600 wrt a?\nAnswer: -30*a*h + 12*a + 4*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -960.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58383 and 3847311.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca2 (base 16) to base 13.\nAnswer: -527c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 - -0.089. Let v = -1263876.0810063 - -1263876. Let n = v - j. Round n to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -82, -308, -624, -1030, -1526, -2112?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -118, 2, 3, -31 in descending order.\nAnswer: 3, 2, 1, -31, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -3, 7, 33, 81, 157, 267?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186455 and 838?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + i - 6*i - 2*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r + 90*r = 47*r. Solve 1\/6*v**3 + 0*v + 0 + r*v**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w**3 + 3*w**2 - 3*w + 190. Let k(g) = -3*g**3 + g**2 - g + 2. Give -3*k(u) + m(u).\nAnswer: -u**3 + 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91669*o**3 - 391079.\nAnswer: -275007*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 + -176. Let d = -310 + 330. What is the smallest common multiple of d and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567186 by 797.\nAnswer: 567186\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 at most as big as 2787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 11. Let x be b(-27). What is the hundreds digit of 10 + 7 + x + 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 60 = 2*n + 40, n - 158 = 5*d. Let j = d + 121. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 612*j - 5 - 614*j - 14 + 16.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*p + 60*p - 256*p + (3 - 2 - 2)*(-5*p + 3*p + 0*p) - 7*p + 219 - 219)*(1 + 0 - 2) to x*p + k and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*p + 143 - 38 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -512\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -31. Let c = a + 34. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11161.25 to the nearest ten.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 0.12, 3, -0.5, -582 in increasing order.\nAnswer: -582, -0.5, 0, 0.12, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:19 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256415011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-5 + -14))*-1*1. Let s be 9\/12 - j\/16. Suppose -5*z = 2*h - 4*h - 7508, -s*h - 1508 = -z. Round z to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -128, 10, 2, -3 in decreasing order.\nAnswer: 14, 10, 2, 1, -3, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (18 + -5)*-33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 4*f**2 - 3*f**2 + 0*f**2 + 0 + 0 - 6*f**4 + (-2*f**2 + 3*f**2 + f**2)*(-f**2 + 4*f**2 - 2*f**2).\nAnswer: -2*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Let j(k) = -24*k**3 - 4*k**2 + 9*k - 10. Let i(x) = 14*x**3 + x**2 - 4*x + 5. Let t(a) = 7*i(a) + 4*j(a). Does 23 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287995434 a multiple of 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -21229*f**2 - 3460326*f + 163 = 0?\nAnswer: -163, 1\/21229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 3. Suppose 2*q - 3*u = 7, 5*q + 2*u - u = -s. Let v be (-4)\/26 - (-96)\/(-572)*-2. Which is the second biggest value? (a) q (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*f + 41. Let m = -6 + f. Solve 2*s - m = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8397, 10166, 11935, 13704?\nAnswer: 15473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u. Let r be k(-3). Suppose 5*t = 8*l - r*l + 1670, 3*t - 2*l = 999. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2295*p**3 - 2 + 1055*p**3 + 1446*p**3.\nAnswer: 206*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.840122 + -0.84. Round q to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:46 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -3. Let l = p + 10. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 59, 44, 13, -40?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 + 13383*o\/7 - 1790490\/7.\nAnswer: 3*(o - 130)*(o + 4591)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3054, -3055, -3056, -3057?\n\"Answer: -u - 3053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 1. Let n(a) = -2*a**3 + 5*a - 5. Let j = 17 + -27. Let r be j\/(-35)*(-3 + 2 - -8). Let m = r + 8. What is m*o(h) + 2*n(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.059 and -3.302?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*y + 9*y + 769 = -457*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 30 = -2*r, 0 = -0*r - r - 3*j - 15. Let z(d) = d - 12. Let a be z(8). What is the second biggest value in a, -0.2, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 57 = -2*i, -5*w - 49 = 3*i + 24. Let p = i + 32. Suppose 2*q = -2*q + p. Solve q*f + 9 = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -57, -63?\n\"Answer: -6*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3028516, 3028503, 3028482, 3028453, 3028416, 3028371, 3028318?\n\"Answer: -4*j**2 - j + 3028521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, t: 2, z: 8, w: 2}. What is prob of sequence zt?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*f - 5557 + 1042 = 7299 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 42*l + 2801. Let b be n(-67). Sort -5, 4, 52, b in decreasing order.\nAnswer: 52, 4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**4\/2 + 39*b**2 + 9*b + 2. Let f(k) = 2*k**2. Calculate h(f(u)).\nAnswer: -24*u**4 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11555.7 + 169786.5066.\nAnswer: 158230.8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*(-84)\/(-3948))\/((-3)\/6)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h - 9. Let r(g) = 19*g + 19. Let p(w) = 9*i(w) + 4*r(w). Let b(t) = 7*t + 2. Let y(a) = -5*b(a) - 2*p(a). What is the tens digit of y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 5*g + 2. Let o(j) = j**3 - 33 - 15*j**2 - 2*j - 3*j**3 - 9*j**g + j**3. Let v be o(-24). Solve -2 = 2*f, 3*f + 4 = 4*b - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(8\/(-44)) + 3 and -101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.5 + -8. Let k = o - 0.7. Let d = -700\/3 - -2803\/12. Put d, k, 2\/11, 2\/9 in descending order.\nAnswer: d, 2\/9, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52 - t**2 - 260 + 0*t**2 + 124 + 25*t.\nAnswer: -(t - 21)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgvvrg. Give prob of sequence grg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 32\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2328*b**2 + 6953*b**2 - 2319*b**2 - 2318*b**2 + 2*b.\nAnswer: -12*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let n be z(-4). Let w be 47\/7 + (-2)\/(-7). What is the highest common divisor of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918252 divided by -8?\nAnswer: 729563\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1644281\/95 + 17308. Let s = h - -7019\/380. Let p = -15\/322 + -10435\/644. What is the common denominator of s and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9))\/(1\/3). Let v(z) = 13*z + 1. What is v(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.1657.\nAnswer: 0.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1394570\nAnswer: 6972850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1136, -0.14 in ascending order.\nAnswer: -0.14, -0.1136, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -64885?\nAnswer: -64885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k - 21*k - k**2 + 7*k + 22*k. Determine a(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242193.63us to minutes.\nAnswer: 0.0040365605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24.1 and -91036.\nAnswer: -91011.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1184585 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205 or -159?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -3 (c) -8 (d) 4400209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -115, -124, -137, -154?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3)\/(-6)*-158. Let b = 81 - h. Solve 0 = -b*n + 1 + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 665 and -411?\nAnswer: -273315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34082972 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 113, 178, 255, 344, 445, 558?\n\"Answer: 6*v**2 + 35*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 5. Let o be g(-5). Let i(q) = 4*q. What is the units digit of i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490 + 490 + 46*q**2 to c*q + w + o*q**2 and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 16.8239895?\nAnswer: -84.1199475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 + 13 = 0. Let v be (15\/20)\/((-1)\/m). Let a(w) be the first derivative of -w**3\/3 - 5*w**2\/2 - 4*w + 99. Calculate a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let c be 1*(-2 + (-1 - -5)). Suppose 0 = 2*p + 5*s - 8 - 11, c*s = 3*p. Let m(q) = 4*q**p - 2*q**2 - q**2. Calculate m(l(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2129\/4 - -532. Which is smaller: h or 0.0021?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102958, -205840, -308722, -411604, -514486, -617368?\n\"Answer: -102882*s - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3428*u - 2588*u = -15120 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5*f**6\/2 - f**5 + 229*f**3\/3 + 254. Find the third derivative of g(v) wrt v.\nAnswer: -900*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 q when three letters picked without replacement from {x: 2, z: 1, q: 1, y: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c + 3*r - 45, -2*c - 4*r + 30 = 0. Suppose 17 = c*n - 334. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/7 + 149764*m**2\/7 - 2*m\/7 - 149764\/7 = 0.\nAnswer: -74882, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 37 (c) 15 (d) -1\/4 (e) -1.69 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3801, -15168, -34099, -60582, -94605, -136156, -185223, -241794?\n\"Answer: 2*i**3 - 3794*i**2 + i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166037529 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/((-4)\/48). Is a\/(0 + 1 + 4\/(-8)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91065 is divided by 377?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b. Let w = -3747 + 3760. Calculate the remainder when r(3) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894 is divided by 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804602948 to the nearest integer?\nAnswer: 28366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 4. Let y be n(-13). Suppose y = -4*w + 21. Which is smaller: w or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/12 - 335*a**4\/12 - 680*a**3\/3 + 4*a**2 - 5*a - 5. Factor g(c).\nAnswer: 5*(c - 136)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)\/s**7)**41\/(((s\/(s*s**(-6)))\/s*s)\/(s\/(s*s\/(s**9*s))*s*s)*((s\/((s\/((s*s\/(s\/s**(-2))*s*s)\/s))\/s))\/s*s)\/s*s**(-1\/6)\/s) assuming s is positive.\nAnswer: s**(-9163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 32. Let y be x(5). Let h(l) = -5*l**2 - 2*l - 2. Let m(c) = 10*c**2 + 5*c + 5. What is y*m(d) - 5*h(d)?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294728 (base 10) in base 16?\nAnswer: 13c188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 - 20 = 0. Let a = h + 6. Solve 0*j + 10 = a*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2901 + 2903. Let w(d) = d - 2. Let y be w(4). Find the third derivative of v**4 - v**x - 17*v**4 - v**y - 2*v**4 wrt v.\nAnswer: -432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2695 (b) -1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -37*h**2 + 1. Let j(s) = 13*s. What is j(i(y))?\nAnswer: -481*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+34330\nAnswer: 34329.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Suppose v*f + 20 = -5*t, 3 = 2*t - 2*f - 5. Suppose -18 = -2*s - t*s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 i when three letters picked without replacement from {k: 10, s: 4, n: 3, i: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z - 2*z + 7*z - 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/(-12))\/((-1)\/(-2)))\/(68\/(-68)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = 2*g, 4*g + g + 2*q = 0. Let j(y) be the first derivative of -7*y**2\/2 - 2*y - 821. Let v(i) = 20*i + 7. Calculate g*v(s) - 7*j(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2) - sqrt(12)\/sqrt(6)))**2 + (sqrt(40)\/sqrt(5))\/sqrt(4))*2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-40))\/(11\/(-22)). Let q = 44.5 + -45. Let y = 7 - 12. What is the nearest to 0.1 in r, y, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 190*c**2 - 8000*c - 100000.\nAnswer: -(c - 100)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**2 + 0*g**5 + 0*g**3 + 0*g**4 + 9\/10*g**6 + 0 - 73*g + 1\/42*g**7. Factor b(i).\nAnswer: i**4*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 16781186.\nAnswer: 4\/8390593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (-22 + -7 - -46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-74)\/(-1480)*-15)\/(1\/(-1)))\/(7\/(-36)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(1\/5)\/g)\/g)**(-1\/11))**22*((g*g**(3\/7))**(-4\/3))**(4\/3) assuming g is positive.\nAnswer: g**(-296\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/4)*u*u)\/u)**(-20)\/(u*u*u**1)**12 assuming u is positive.\nAnswer: u**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z**2 - 2. Suppose -2*o = -g + o, 5*o = 5*g. Let t be n(g). Let p = 2\/11 - -5\/33. Which is the closest to t? (a) -4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Solve 3*c = -4*h - 0*h + 14, 5*h = r*c + 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -13*g - 2. Let v be u(2). Let n = 3 + 2. What is the remainder when ((-4)\/2)\/(4\/v) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 38 = f - 10, i + 3*f - 12 = 0. Let n = 18 - i. What is the greatest common divisor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 312.73 and 0.19.\nAnswer: 59.4187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11 + 36 = 0. Suppose 5*o - 4*x = 283, -206 - 101 = -a*o - 4*x. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 1.9. What is the nearest to c in 7, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9956355*b**4 - b - 9956357*b**4 + 2*b**2 - b - 5*b**3 - 97 to the form k*b**3 + f*b**4 + o*b + g*b**2 + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 58*f + 433. Calculate q(9).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 2*r**3 - r**3 + (-24 + 16*r + 24)*(-6 + 4*r**2 + 6) in the form s*r**2 + t*r + o*r**3 + f and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6015 + 6024. Let d = -77452\/47 - -1648. Let z = 66\/329 + d. Sort -1, o, z.\nAnswer: -1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 + 2*x + 90. Calculate p(-10).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*w**2 + 9*w**2 - w**2 + 2.\nAnswer: 12*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -588, -545, -492, -423, -332, -213?\n\"Answer: n**3 - n**2 + 39*n - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 + 3 + 6 - 7 + (2 - 1 + 1)*(-5 + 3 + 3))*(a - 1 + 1)*(-2*a + a + 3*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 1 - 1)*(14 - 18 + 10)*(-2 + 2 + i).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.1 (b) 18.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (96 - 50) + -124 - (-1 + -1 - -5)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 27. Suppose -2*r + t = 5*h, -4*r + 2*r + 6 = 0. Solve -h*x = 2*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + d + 6 = 0, -2*r - 2 = -5*d - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19184968 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: 7 + -6 + -2 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -4.64787250924?\nAnswer: 5.14787250924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3791*j + 18977. What is c(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + 2*r**2 - 6*r. Suppose -7*w = -4*w. Give p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzozzzot. Give prob of sequence ozto.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 + 57*z**2 + 172*z - 534. Give l(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + g**3 - 20*g**3 + 7*g**3 + g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 4. Let f be b(3). Let x = -1 + f. Is x not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9444*s + 9274*s - 15640 = 0 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1079391 and -107\/9930.\nAnswer: 10793910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 1385*r - 156263. Determine s(265).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 708090359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.2*-106.\nAnswer: -1293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*n - 12, 5*n + 0 + 15 = 0. Let d be (1 + 0)\/((-5)\/(-25)). Suppose -2*f = -5*k - 6 - i, 0 = -2*f - d*k + 59. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*h + 235*h - 105*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**1*f))\/(f\/f**(-4))*f**(2\/13)*f\/(f*f**(-7)*f*f))\/((f**(3\/7)\/f*f**(-5))\/(((f*f\/(f*(f**(1\/6)\/f)\/f*f))\/f*f)\/(f*f*f**(-1)))) assuming f is positive.\nAnswer: f**(3035\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -76\/296383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8. Suppose -w - 5 = -3*x. Solve 2*v = -5*i - 4, i - 4*i + v = -x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 0.35. Let y = l + -0.8. Let j = y - -0.3. Which is the closest to 0? (a) 2 (b) j (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 67*i = -63*i - 2188096, 3*x - i = 1641100. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 32?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 81142274822?\nAnswer: 81142274822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = 3*m, -4*m - 71*d + 76*d + 37 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 0.2. Let n = 500 + -501. Which is the closest to k? (a) -1\/7 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 8. Let q be i(-1). Let x(f) = f**3 - 8*f**2 - 10*f - 9. Is x(q) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + 1*sqrt(210) - sqrt(210))\/sqrt(6))\/(2*sqrt(112)) + (sqrt(165)\/sqrt(99))\/(sqrt(3) - sqrt(21)\/(2*sqrt(7))) + 1.\nAnswer: 1 + 19*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 89*a**2 - 1 - 6*a + 91*a**2.\nAnswer: 2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/708*166\/(-1328)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 24 = 3*s. Let j = 41 - s. Suppose t + 8 + 7 = 5*p, -5*t + 17 = -2*p. Solve -5*z - 5 = 0, 4*h - 3*z - j - t = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 385 + -213. Let g = x - 170. Calculate the least common multiple of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -41. What is the units digit of (2\/(-4))\/(1\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139920 is divided by 284975?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -2*h. Let t be h\/(4*-1)*3. Factor 6*j - 11*j - 7*j - 2*j**t - 4 - 2*j**3 - 12*j**2.\nAnswer: -4*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10106, 10112, 10114, 10112?\nAnswer: 10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231668974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (-10 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6069 + 6069.1. What is the nearest to o in 31, -4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12359 - 28451?\nAnswer: -160a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5\/3. Let j be (2\/(-6))\/(12\/(-18)). Suppose -5*f - 19 + 14 = 0. Which is the nearest to o? (a) f (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 26, -0.2, 0.3, 0.2, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/7 - 75*d**3\/7 - 369*d**2\/7 - 513*d\/7.\nAnswer: -3*d*(d + 3)**2*(d + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357*v + 2054*v - 4429*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 + 2*f + 1. Let v be l(2). Let p = v + 63. Suppose 0 = 3*g + p - 419. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*y - 20. Suppose -y*g + 42 = -24. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.3. Let p = -57 + 56.968. Let v = 0.968 - p. What is the biggest value in -1\/4, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.01015. Round h to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 97071*q - 291240.\nAnswer: 3*(q - 3)*(q + 32360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37, -5, 0 in decreasing order.\nAnswer: 0, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**4 + 6*o**3 + 8. Let m(c) = c**4 + c**3 - 1. Let j be (-6)\/4*(-4)\/(-6). Let k(w) = j*f(w) + 6*m(w). Differentiate k(l) wrt l.\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxqqm. What is prob of sequence px?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 112720644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484854?\nAnswer: 2, 3, 17, 63577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.1469\nAnswer: 0.8814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11624995*((-16)\/(-5))\/4. Let z be (-2 - n) + (-7 - -5). What is z rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*z = 244*z - 4521 + 801 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l - 105 - 100 - 8*l**2 + 208 - l**3. Let n(h) = -3*h + 3. Let v be n(4). Let c be r(v). Solve -c*g = 4*j + 15, 10 = -2*g - 4*j - 0*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:09 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9006.82 nanometers?\nAnswer: 0.00000900682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19089158, -19089160, -19089162, -19089164?\nAnswer: -19089166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*g*i - a*g*m - 2*a*m**2 + 356*g*i - 401*g*m**2 + 2*g + 2*i*m**2 + 5*i wrt m.\nAnswer: -a*g - 4*a*m - 802*g*m + 4*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 5*r + 62156 = -3*p, -4*p = r - 15558. Does 38 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**10)\/n)\/n**(7\/2)*n*n*n\/(n*((n\/n**(-1\/10)*n)\/n)\/n)*(n\/n**(-13))\/n assuming n is positive.\nAnswer: n**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**3\/4 - 447*o**2\/4 + 42141*o\/2 + 16926 = 0. Calculate o.\nAnswer: -91, -4\/5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1380)\/552*(-1)\/((-110)\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -23\/5, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saasssssas. What is prob of sequence aass?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 1838 = -4119. Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 3*b**4 - 6*b**3 + 28*b**2 - 24*b = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 134*t + 23. Let l(z) = -670*z - 106. Let s(r) = 14*c(r) + 3*l(r). Let o(p) = 27*p - 1. What is -14*o(v) - 3*s(v)?\nAnswer: 24*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541 + 2999 - 2*m**2 + 2*m - 1505.\nAnswer: -2*m**2 + 2*m - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 19. What is f(-17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -18. Let h be 4\/(1 - -1)*y. Suppose 0 = c + h*u - 8, 0*c + c - 3*u - 3 = 0. Solve -b = -2*i + 9, -2*i - i + c = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + 0 + (-1*(sqrt(13) + 3) - sqrt(13)).\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 58. Let s = 0 - p. Suppose 0 = -2*w - 3*w + s. Solve 4*y = -4*f + 12, y - 2*y = 2*f - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 179*s - 35*s + 41*s)*(0*s**2 + 3*s**2 - s**2) to the form b + d*s**2 + f*s + r*s**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(4 - (-45)\/(-10)). What is the third derivative of 677*g - 5*g**2 + 15*g**u - 677*g wrt g?\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i + 2. Let g(q) = 24*q + 3. Let w(d) = -d**2 - 1. Let a be w(2). Let r(j) = a*g(j) + 7*v(j). Let f be 9\/6*(-2)\/3. What is r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - 2) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381548 divided by -1054.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 + 10*g + 11. Let a be q(-9). Suppose 0 = -2*m + 6, a*h + m - 47 = -2*h. Factor 0*d**2 + 2*d - h*d**3 + 8*d**3 + 4*d**3 - 3*d**2.\nAnswer: d*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1016, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*((0 + 2*a + 0)*(-2*a + 0*a + 0*a) + 3 - 3 + 3*a**2) - 8*a**2 + 29*a - 29*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x, -3*g - 2*g - 5 = -2*g + 2*g - 5*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 22*g**2 + 22*g - 313. Let y be b(10). Solve y + 21 = -16*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-3)\/(-60)). Suppose -3*q = -4*q + t. Calculate the highest common factor of q and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/(j*j*j*j**6*j*j*j*j*j*j)*(j\/(j**(-1\/4)\/j))**(10\/9) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/(r\/(r*r\/(r*r**(-4))*r)))\/r))\/r*r*r\/(r**(-2\/3)*r))\/(r**(2\/3)\/r*r*r\/(r*r\/(r\/(r\/(r\/(r\/r**(-1\/2))))))))**(1\/3) assuming r is positive.\nAnswer: r**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2*u)\/(u\/u**(-2\/11)))\/((((u*u**(-2)\/u)\/u*u*u)\/u)\/(u\/u**(-1\/5))) assuming u is positive.\nAnswer: u**(111\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*j + 12*j. Is j smaller than -1\/693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -4. Let k(o) = 7*o - 2. Let b(r) = 7*r - 2. Let f(y) = x*b(y) + 3*k(y). Let l be f(-4). What is the greatest common factor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 14*d**2 - 50*d**2 + 15*d**2 + 62*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = 5. Suppose -4 = -f*l - 0. Suppose -2*u = 4*s - u - 34, -5*u - 14 = -3*s. What is the least common multiple of l and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 25) + -10 + 3 + 6 + 5 + -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18)*-1 - ((-15895)\/(-612) - 26)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 2, f: 4}. Give prob of picking 1 d and 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -108. Let l(i) = -5*i**3 - 3*i**2 - i + 3. What is the units digit of l(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.88 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3135225.000004 - 3135219. Let s = -6.2 + 0.2. Let p = f + s. Round p to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231 + 207. Let k be (10\/(-30))\/(2\/i). Which is the second biggest value? (a) k (b) -7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 5*r = -13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5*(-1 - 4). Suppose 2*u - 2*v = 18, -4*v - 16 - 7 = -g*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*j - 4*x, 194*j + 3*x - 23 = 190*j. Solve 4*s = v + j, 4*v + 6*s = s - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1660*o**2 + 3*o + 6. Let m(l) = 9*l**2 + l + 2. Let f(a) = 3*m(a) - w(a). Let q(k) = -3*k**2. What is f(q(b))?\nAnswer: -14697*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.102 + -1.702. Let g = 11 - 13. What is the second biggest value in g, p, 7, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -54*h - 3. Let w(q) = -110*q - 7. Determine -5*p(c) + 2*w(c).\nAnswer: 50*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60504937 to the power of 1\/2, to the nearest integer?\nAnswer: 7778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + (-9 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/3 + 37852*f + 113562 = 0.\nAnswer: -3, 56781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v + 3*n = -90*v - 4, 0 = 2*v + n + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15438144 by -3859536.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 5. Let y be d(5). Suppose y = 2*x + 4*x. Solve -2*w**2 + x*w - 10*w**4 - 13*w**2 - 6*w**3 + 21*w**3 + 5*w**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687 and 702322161.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 - 99*i**2 - 1429*i - 234. What is k(35)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 - 145678*q**5 - q**3 - 250942*q**2 - 2?\nAnswer: 120*q**3 - 8740680*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3336*o - 3371. Determine p(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-230)\/(-70) + 2\/(-7). Let g(i) = i + 3. Let k(v) = 4*v + 13. Let n(t) = 18*g(t) - 4*k(t). Give n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 - 104*v**2\/5 + 332*v\/5 + 88.\nAnswer: 4*(v - 22)*(v - 5)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/49? (a) 4\/5 (b) 14 (c) 0.06 (d) 96\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573*b = -548*b - 35817 - 35908. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 1. Let q be ((-52)\/(-6))\/(1\/o). Suppose 0 = 5*z - q + 7. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104*a**3 - 113 wrt a.\nAnswer: 312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2 - (-35)\/7. Suppose h - 20 = -z*h. Find f such that -2\/7*f - 16\/7*f**4 + 20\/7*f**2 - 4\/7 - 8\/7*f**3 + 10\/7*f**h = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.37 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {t: 2, r: 3, i: 8, n: 4, w: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 30 = 10. Let k be (48\/40)\/(6\/n). What is the tens digit of (k + 173 + 0)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + 1)*4*6.\nAnswer: 24 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, w: 1, e: 1, y: 1, d: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*7\/(-35)*10*-12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793 = 6*q + 1649 - 808 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*z**2 - 4\/9*z - 2\/9*z**3 + 0 = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -92, -213, -392, -635, -948?\n\"Answer: -u**3 - 20*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14514 is divided by 148?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y - 10*y + y + 7*y. Let l(z) = -4*z**2. Give t(l(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 7*a**2 + 5*a + 2. Let k(v) = v**3 + 3*v**2 - 6*v + 2. Let s be k(2). Suppose 4*u + 0*u = -5*q - 38, -3*q + 4*u - s = 0. Calculate o(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 2154 = -53. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122100002111 (base 3) in base 2?\nAnswer: -11010101000011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283 + 321. Calculate the smallest common multiple of a and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 0*q)*(-4*q**2 + 3*q**2 + 3*q**2 - q**2 + 0 + 0 + (5*q + q - 5*q)*(-2 + 2*q + 2) - q**2 + 3*q**2 + 0*q**2 + 0*q + 2*q**2 + 0*q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644*d = -649*d + 425. What is the highest common factor of d and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28507136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from eewaawwewwawawaswaw?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3042, -3068, -3114, -3186, -3290, -3432, -3618, -3854?\n\"Answer: -c**3 - 4*c**2 - 7*c - 3030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9142, 19313, 30518, 42745, 55982, 70217, 85438?\nAnswer: 101633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2006259142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2405767, 2405766, 2405765, 2405764, 2405763, 2405762?\nAnswer: 2405761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 11, -2 in decreasing order.\nAnswer: 11, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7070 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -22*c + 125 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 1 + 6 - 5.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-10))\/(10\/((-160)\/(-36))). Which is the third smallest value? (a) 1\/6 (b) k (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**3 - 6*b - 6. Let z(s) = 10*s**3 + 11*s + 11. Calculate 11*h(y) + 6*z(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14102.105 + -47601468.105. Let u = 47587365.26900319 + h. Let k = 0.731 + u. Round k to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 111884321 and -12303.\nAnswer: 111872018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 - 5*n**2 + 7*n - 5. Let o = -77 + 74. Let z(r) = -5*r**3 + 5*r**2 - 7*r + 5. Let q(h) = o*z(h) - 4*w(h). Determine q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 25*h - 64*h + 20*h + 25*h. Let p be f(-3). Solve 16 = -p*u - 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 108\/6 - ((3 - 3) + 4). What is the highest common divisor of k and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2.438.\nAnswer: -7.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -2*k + 6*m + 45, -5*k = -2*m + 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*140\/(-21). Let b be g\/45 - (-249)\/27. Factor 10*w**2 + 0*w**4 + 3*w**3 + 3*w**5 - b*w**4 + 0*w**2 - w**2 - 6*w.\nAnswer: 3*w*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2. Let v(t) = -500128*t. What is v(q(h))?\nAnswer: 1000256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2229 = -3*x, -2*x + 66 + 1420 = n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (-27)\/(-3)*(-193)\/(-9).\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 2 = -2*r - 5*w, 5*w = 2*r + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 3*v**3 + 9*v**3)*(-v - 2*v + v) + 3*v**4 + v**4 - 2*v**4 + (-3*v + 2 - 2)*(3 + 2*v**3 - 3).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 173 = p, 130 = 4*l + 3*p + 2*p. Calculate the remainder when 205 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(475)*1 - 4*(sqrt(475) + 2*sqrt(475)).\nAnswer: -55*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 8785425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1 and -479271.\nAnswer: -479272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**2 + 0*u**3 + 3*u**2 + 3*u**2 + 2*u**3 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 2*k + g, -2*g - 4 + 0 = 0. Let p = 2948 - 2933. What is the remainder when k is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-28)*g*g**(-19) assuming g is positive.\nAnswer: g**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 917663 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 30*x**3 + 15*x**2 - 15*x + 21. Let o(j) = j**3 + j**2 - j + 1. What is g(i) - 15*o(i)?\nAnswer: 15*i**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 22*s - 104. Let h be j(-26). Suppose h = 41*t - 37*t - 348. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*b**2 - 8 + 8 + b - 37*b**2 + 89*b**2 + 0.\nAnswer: -2027*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3776, 7730, 11668, 15590, 19496, 23386?\nAnswer: 27260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 7*b**2 + 2. Let a be r(7). Suppose a*z = 5*z - 18. What is the least common multiple of 7 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189468059\/182 + 1041036. Let o = 11\/26 - s. Let y = 17\/7 + o. Sort -2, -0.1, y in decreasing order.\nAnswer: y, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 5334.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 93*c + 63*c - 26*c.\nAnswer: 118*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/112516 and 93\/12230.\nAnswer: 562580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 4*d + d**4 + 4*d**2 + 14 - 4 as j + n*d**2 + s*d + m*d**4 + u*d**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 - x - 1. Let k be f(-1). Let n be ((-2)\/(-3))\/((-4)\/k). Let t = n - -10. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 41*k - 10*k + 37 to the form z*k + r and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let f = 1.4 - 1.5. Which is the third biggest value? (a) o (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bmmbpbpmibbi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 549, 825?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18419568 divided by 45\nAnswer: -6139856\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 489 + -983\/2. Let s be (-3)\/20 - (-1)\/4. Which is the smallest value? (a) -4 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/4 + 11\/28. Let q = 3.013 - 4.013. Let x = -0.2 + 0.6. What is the closest to q in x, -0.09, n?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10212840 and -10212845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 + 261 = 13*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 23 + 23 + 4*l**2 as t*l + y*l**2 + h and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4 - 328\/(-16). Suppose 26*k - q*k - 12 = 0. What is the second biggest value in 1, 3\/2, -0.4, k?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66063 minus 0.5?\nAnswer: 1.16063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + -45. Let g = 81 + o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 - -242. Does 27 divide (-5)\/5 + ((-3)\/3 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 631, -5, 1, -4 in descending order.\nAnswer: 631, 2, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/9)\/t)\/t)\/(t**(-1\/6)\/t))\/((t\/(t\/(t\/t**(-9\/5))*t))\/((t**(-14)\/t)\/t)) assuming t is positive.\nAnswer: t**(-1697\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(27\/(-13068)*11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*m = 112*m - 84 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 8 = 5*f. Suppose 3 - f = a. Suppose -a*b + 7*b - 36 = 4*u, 3*u - 3 = 0. Which is bigger: 2\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664555.6cm to kilometers.\nAnswer: 6.645556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33598*n**3*t - 15*n**3 + n**2*t - n**2 - 2*n*t - 106*n + 375 wrt n.\nAnswer: 201588*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59916*u**3 + 120032*u**3 + 2*u**2 - 60110*u**3.\nAnswer: 6*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**2 - 14*u + 8. Let m(l) = -5 + 1 + 3 - 2 + l. Let y be m(6). Let n(k) = 4*k**2 + 5*k - 3. Let i(d) = y*q(d) + 8*n(d). Determine i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - 7. Let s = -13 - n. Let k = -0.84 + s. Which is the second smallest value? (a) k (b) -5 (c) 1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, s: 4, f: 1}. Give prob of picking 2 u, 1 s, and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1\/10*h**5 + 0*h**4 + 0*h**2 - 1\/3*h**3 + 0 - 2*h. Find n, given that s(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953347777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11152621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1073202994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -160.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 587*y**2 + 97*y + 192. Does 71 divide g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53275 + 12?\nAnswer: -53263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6087\/3190 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570524?\nAnswer: 2, 3, 29, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 6*a. Let t(i) = i + 0*i + 0*i + 0*i - i**2. Let u(r) = 2*s(r) + 12*t(r). Let l(q) = -11*q. Determine u(l(m)).\nAnswer: 484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464715 - -4227?\nAnswer: 1468942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -76\/2157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 1 - 1 + (-6 + 3 + 4)*(0*y**3 + y**4 + 0*y**3) + 1 + 2*y**4 - 1 + 31*y - 31*y + y**4 + 10*y**2.\nAnswer: 5*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*x - 17 = 0, -5*v + 8*v - 3*x - 3 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2103044 (base 5) to base 8\nAnswer: -103726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 2, u: 2, i: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + 8*g - 3. Let s(n) = n + 25. Suppose 0 = v + 3*f - 3, -4*v - 2*f = -2*v - 2. What is the remainder when s(v) is divided by x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79701888 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -282.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 909335 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3804)\/(-72))\/(2\/(-18)). Let g = h + 476. Factor 18*v**2 + 0 + 0*v - 6*v**3 + g*v**4.\nAnswer: v**2*(v - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1288309 meters?\nAnswer: 128.8309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504628 and 7157.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 9. Let s = -34 - w. Let r = 17 + s. Is r at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/63 and -91\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 7, c: 1, l: 5, b: 3}. Give prob of sequence lq.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 701065 = 701048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h. Let g be w(2). Let p = g - 9. Let a = p + -9. Put -1, a, 3 in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (28 - 8) - (-6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -263, -0.7, -1 in decreasing order.\nAnswer: -0.7, -1, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 2. Let h be y(-4). Factor 30*m + 4*m**4 + 55*m**3 + 0*m**2 - 67*m**3 - 21*m**h - m**4.\nAnswer: 3*m*(m - 5)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -485*m + 32. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 4, -9 in decreasing order.\nAnswer: 4, -9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 16*y = 2250. Let n = -380 + y. Let x(j) be the first derivative of -j**4\/4 - 5*j**3\/3 + 5*j - 1. What is x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296884 divided by -2?\nAnswer: -148442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -57.4. Which is the closest to -1\/3? (a) -10 (b) 5\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -76*y**2 - 3*y. Let a(n) = -35*n - 25*n + 85*n - 27*n. Calculate l(a(z)).\nAnswer: -304*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0 + 12. Let t = s + -3. Suppose -2*g - 3*g = t. Solve 3*r - 9 = g, 5*j - 1 = -2*r + 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a + 116*a + 1614*a**2 - 133*a in the form f*a**2 + r + g*a and give f.\nAnswer: 1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52810, -211896, -477036, -848230, -1325478, -1908780?\n\"Answer: -53027*a**2 - 5*a + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19924 - 19883. Let w(p) be the third derivative of -q*p**2 + 0*p**4 - 2\/5*p**5 - p + 1\/30*p**6 + 64\/3*p**3 + 0. Factor w(t).\nAnswer: 4*(t - 4)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2652*n + 2647*n + 12161870 = 5*s, -3 = -s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 60. Which is the third smallest value? (a) -1\/3 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2299 + -2299. What is the closest to f in -3\/5, -12, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188602 divided by -1042\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17411*o**2*u**2 + 38*o**2*u - 4*o**2 - 8*o*u**2 + 15*o*u - 2*o + 152*u**2 wrt o?\nAnswer: -34822*u**2 + 76*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.4 and -181877.3.\nAnswer: -181899.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 22 - 5)*(w**4 - 6*w**4 + 3*w**4) in the form a*w**2 + h*w**4 + d*w + g + o*w**3 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349 - 212. Let z = y + -123. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124139 - -4?\nAnswer: -124135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 3. Suppose -2 = 6*m + 4. Let i be b(m). Find z, given that 8*z**i - 4*z**3 - 2*z**2 + z**4 - 10*z**4 - z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (689\/2)\/((-16)\/288). Round n to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*d - 3*x, 5*d + 5*x + 29321 - 29326 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51879117?\nAnswer: 3, 47, 263, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001296266818 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 6*w + 8. Let y be ((-6)\/(-4))\/((-12)\/(-32)). Let v be r(y). Let p = -0.28 - 9.72. What is the nearest to v in 5, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -2) + -25 + (-57)\/(627\/(-220)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 184734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 20633. Let h(s) = 6*s. Give h(n(r)).\nAnswer: -12*r + 123798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*6 - ((-2*sqrt(152) + sqrt(152))*-2 + sqrt(152)))\/(sqrt(1152)*-2*4).\nAnswer: -sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1597349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17661?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71410954 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2\/4 + 370593*q\/4 - 30841887 = 0?\nAnswer: -123863, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -288, -704, -1444, -2616, -4328, -6688, -9804?\n\"Answer: -18*s**3 - 74*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 127 = -115*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*i + 5 - 9 + 4.\nAnswer: 296*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 17. Let b = 24 + c. Let r(d) = 5*d - 5. Calculate the remainder when r(2) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970284817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - t = 0, -5*j + 3*t - 12 + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -96923?\nAnswer: 96931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toto when four letters picked without replacement from ooototooootooo.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40080 and 163120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and -18\/15205.\nAnswer: 91230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 5*c**4\/24 + 7*c**3\/3 - c**2. Let m be h(10). Let s be 272\/m - 1\/4. Solve s*r = 20, 2*i + 0*i = r - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1583 + 1599. Solve 17*n - o*n - 2*w = -1, 4*w = -2*n + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 42. Let d = 28.1 + v. Which is the closest to d? (a) -0.1 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2825 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:06 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -27. Suppose 3*h - 3*n + 2*n = y, -12 = 4*h + 4*n. Solve 5*k - h = -4*d, 0 = -d - 0*k + 4*k + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 0. Let s be 2\/1 + 4\/2. Let y(v) = -s - 2 - 3*v + v. What is y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -430001?\nAnswer: 430010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -156. Suppose -5*a = -3*z - 626, -4*a = -g*a + 4*z + 256. Is 31 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 24, 20, 18, 18?\n\"Answer: w**2 - 9*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*i + 114*i + 7638409. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -5*u**8\/672 - u**7\/12 - u**6\/16 + 59*u**5\/24 + 65*u**4\/6 + 20*u**3 - 2*u**2 + 164. Let i(z) = 0. Calculate z.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/9))\/j**1 assuming j is positive.\nAnswer: j**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 769 + -445. Suppose 11*v = 15*v - w. Suppose -4*s + 67 = -v. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 4\/5 (c) -7 (d) -0.4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35199 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(176)*4 - (sqrt(99)\/(sqrt(108)\/(sqrt(24)\/sqrt(2))) + -5).\nAnswer: -17*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q. Let d(u) = -u - 114. Determine d(j(b)).\nAnswer: 4*b - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312223202 - 22200?\nAnswer: 312201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*b = -3*b + 285, b = 5. Let h = d - -85. What is the remainder when h is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -921*g + 919*g - 44 + 106 to f*g + j and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32433892*i**3 + 18603901.\nAnswer: -97301676*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35790 - -7?\nAnswer: -35784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14582.9 - -150079466.\nAnswer: 150094048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-4 - (-4 + -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 6. Let m = -17978 - -17983. Which is the nearest to -0.05? (a) m (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402.91 - -396. Let o = -7.11 - d. Which is smaller: 144 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329651.\nAnswer: 7, 47093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1935.166 less than 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = o + 13, 4*o = 7851*w - 7852*w + 20 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = h - 2*m, -16 = 4*h - 4*m. Let z = 10.38 + -13.3. Let f = z + -0.08. Which is the third biggest value? (a) f (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 23*b**3 - 22*b**3 - 37 + 46*b**3 in the form c*b**3 + p + j*b + u*b**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35031 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -140 - 280. Suppose -784 = -12*x - 2*x. What is the highest common divisor of x and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*z**4 - 91*z**4 + 117*z**2 - z**2)*((0 - 1 + 3)*(2 - 6 + 2) - 1 + 2 - 3 - 3 - 4 + 3).\nAnswer: -20*z**4 - 1160*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2. Let i(m) = 1087*m. Determine i(n(j)).\nAnswer: 3261*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*z + 0*z**2 + 12*z**2 + 32*z + 0*z**2 wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15*d - 6. Suppose -w - s = w - 7, 4*w - 3*s + 1 = 0. Let m be ((-2)\/4 + 0)\/(w\/(-12)). Does 5 divide j(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzc. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - -3.5. Let o = 546 + -542. What is the second smallest value in w, o, 2\/7, -1\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 + 134. Let s(a) = 8*a + 4*a + 2*a - g*a. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/169 - 2694\/845. Let d(b) = 4*b**2 + b + 1. Let y be d(-1). What is the common denominator of m and (y\/(-12))\/((-32)\/1212)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 84, 129, 178, 231, 288?\n\"Answer: 2*u**2 + 35*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/(22\/1848). Is 19203\/13 + (2 - q\/52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:35 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 2. Suppose 13 = 8*a - 147. Suppose -5*x + 15 = i - 2*x, -2*i + a = x. Give w(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564000334.\nAnswer: 2, 173, 227, 45377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*v - 902*v - 3 + 306*v + 295*v.\nAnswer: -4*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -70.5. Which is the nearest to 1\/5? (a) -1\/5 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2*i - 4*i - 4*i**3.\nAnswer: -5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 55\/2 of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6032, 20177, 43752, 76763, 119216?\nAnswer: 171117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -821, -2157, -4119, -7019, -11169, -16881, -24467?\nAnswer: -34239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 0.43 (c) -512\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/18 + q**5\/24 + 7*q**4\/24 + 7*q**3\/3 + 11*q. Let r(p) be the second derivative of v(p). Is r(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = 4*r - 192. Suppose -5*a + 107 = -2*b - 992, 0 = -5*a + r. Round b to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.051 and 5.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 594 = 4*c, -5*j + 742 + 2148 = -4*c. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -591*i - 411 + 186 + 225 as a*i + u and give a.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - d - 20979 + 20979.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 321531554 (base 6) to base 9\nAnswer: 11630227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/30 - 41*p**4\/24 + 14*p**3\/3 - 153*p**2. Let f be b(-21). Let s(h) = -h**3 + 7*h**2 - 3*h + 6. Calculate s(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21370*x + 21397*x - 891. Solve x*u - 7 = 40*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8104)\/(-7) - (-22)\/77?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 4*c = -3*v + 47, 28 = -202*v + 204*v + c for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -31. Let n = p + 19. Suppose 7*d - 176 = n*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582623875 divided by -116524775?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3336*s. Let x(h) = -2*h + 2878. Calculate t(x(w)).\nAnswer: 6672*w - 9601008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -28, -8, 32, 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-22)*v)**(6\/37)*(v\/v**(-11)*v)**9 assuming v is positive.\nAnswer: v**(4479\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 210220012 (base 4) in base 11?\nAnswer: a2794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 54202424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252455301 (base 6) in base 14?\nAnswer: 91460d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15404 - 13487. Calculate the highest common factor of 497 and h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2284*j - 1539402. Calculate q(-674).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 772*n - 769. Let v be y(1). Solve v*d = -2 - 16 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*z - 2*n + 2, 0 = -2*z + n. Let t be -5 + 1 - (-27)\/3. Let h(a) = a + 3. Let x(g) = 2*g + 7. Give t*h(d) + z*x(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (1364\/(-55) - 3) - (76 + -93).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -19. Suppose l + 3*f = 1, 5*f + z = 5*l - 3. Let v be (l\/2)\/(6\/60). Solve -v*b = 10, -b - 5 = -4*k + 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4122400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39602?\nAnswer: 2, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 + 375 + 51*h - 758 - 28*h + 106*h.\nAnswer: 129*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/21)\/(3*(-3)\/(-54)). Let o(r) = -3 - a*r**3 - 5*r - 5*r**3 + 12*r**3 - 2*r**3 - 4*r**2. Give o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, 74, 1490, 3826, 7076, 11234, 16294?\nAnswer: 22250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*r**2 + 208*r**2 + 141*r**2 + 60 - 3*r.\nAnswer: -69*r**2 - 3*r + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + -16)*(-4)\/20. Solve k*y - 3*y = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3, -2*o + w + 11 = -0*w. Suppose 2*u = -o*l + 36, u = 3 - 1. Let k = -5 - -7. Calculate the lowest common multiple of l and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 + 33*i**2 - 21*i + 23*i in the form j*i + w*i**2 + c and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -21475?\nAnswer: -21463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -14014*k**3 - 8400*k**2 - 1368*k - 32 = 0. What is k?\nAnswer: -2\/7, -4\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2210?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Let j be 11 + 1 + f\/(-2). Suppose -2*r + 3 = -0*u + u, -3*u = r + 6. Solve -j = p - r*k, -p - 3*k + 6 = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70328187 divided by -10?\nAnswer: 70328187\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - n**2 - 2 + 4 + (0*n**2 - n**2 + 2*n**2)*(-2 + 2 - 1).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-28))\/(((-36)\/64)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpnfnffnfoof. Give prob of sequence fnnl.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53834444 and 16031?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -8. Let k be 1\/(1\/(-12)) + o. Are -18 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -1. Let i(m) = -7*m + 9. Does 30 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13343*b*h*o + 2*b*h + 4505920*b*o**2 + b + 9*h*o**4 - 24*h*o - 2*h - 23*o - 2 wrt o.\nAnswer: 9011840*b + 108*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 3*z + 104. Let l = z - -130. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6963085*q**2 - 1026777 wrt q?\nAnswer: -13926170*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(108)*3)**2 - sqrt(3)).\nAnswer: -sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2066814.61314 + 2066779. Let a = 35.6 + h. Let f = 0.012 + a. Round f to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 7*s + 2. Let d be u(10). Let b = d + 14. What is the common denominator of 6\/3 + 132\/b and 37\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/1 - (-2 - -44 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - o - 128, -11 = -a - 5*o. Let z = -29 + a. Suppose -9 = 4*l + 7, 43 = -3*u + z*l. Is -18 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4059*h**2 - 8*h - 61. Let w(u) = -5*u**2 + u. Let y(k) = a(k) + 5*w(k). Find the second derivative of y(f) wrt f.\nAnswer: 8068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27*(-20)\/432)\/((2\/2)\/(-16))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 + b. Let g be y(-5). Let u = 175 - g. Solve 0 = -5*r - h + 1, -2*r = -r + u*h - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -18, 1, 3.086, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 11710.6\nAnswer: 9368.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2 + -1)\/(3 + -2). Suppose -a = -2*a + l + v, 0 = 2*a - 3*l. Suppose -a*j + 127 = -17. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65495 = 3452*l - 3359 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 1. Let g(c) = 24*c - 3. Calculate g(s) - 3*i(s).\nAnswer: 3*s**2 + 24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.17 and 4?\nAnswer: 9.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*h + 6, -h - 5*j + 8 = -5*h. Let d be ((2 - 1)*1)\/(h\/(-6)). Solve -8*w - 5 - 10*w + d*w + 20*w**3 = 0 for w.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -16.6068316 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p - 513 = -65*p. Solve -p*m = 53*m + 432 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 divided by 2822?\nAnswer: -299\/2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 20. Suppose 0 = -h - f*m + 3, 2*m + 15 = 6*h - h. Suppose r + 5*j = -4*r + 170, -4*r + h*j = -108. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455339304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 66*q - 61*q - 1220, -4*q + 5*u = -967. Let k = -34 - -96. Let v = k + -35. What is the greatest common divisor of v and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 15, k: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3c?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-832)\/((-364)\/7) - 10\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**2 - 336*a + 4 - 502*a**5 + 497*a**5 - 4 + 8*a**2 wrt a.\nAnswer: -100*a**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36615.51 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 0, -5*j - 3*s = -0*s - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 6910 = -16*c. Suppose -c + 284 = -7*k. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5642+0.01\nAnswer: 5642.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.811 - -0.111. Let h = o - -2.7. Let n(c) = -c**3 - c**2 - c - 1. Let l be n(0). Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8485 - 0.1515. What is the closest to -3\/2 in -12, 0.6, r, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305012952 to the nearest integer?\nAnswer: 17465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004047408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*h - 16 = 2*l, -2*h + 1 = l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-14) - 12\/14. Sort 3, q, -6 in descending order.\nAnswer: 3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439193899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1377) + -5 + sqrt(1377) - (3 + sqrt(1377) + -1) - (-2 + sqrt(1377) + -1 + -5)) + -1 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -21) + -88 - (2 + (5 - 0))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445 - -465. Let b(l) be the second derivative of -l**5\/20 + 19*l**4\/12 + 13*l**3\/3 - 11*l**2 - l. Does 14 divide b(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:27 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038273106?\nAnswer: 2, 17, 59949209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Let s(z) = 3*z**3 - z**2 - 3*z + 1. Let h(b) = -16*b**3 + 5*b**2 + 16*b - 5. Let m(u) = w*h(u) + 22*s(u). Factor m(g).\nAnswer: 2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67039800 to the nearest 10000.\nAnswer: -67040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39527 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 19 - (26 + -9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3552)\/136 - (-312)\/12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/15 + 2*j**4 - 24*j + 24. Let t(m) be the first derivative of b(m). What is the third derivative of t(d) wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/112542 and -53\/283643354.\nAnswer: 850930062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (28 + -3 - -16).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5715, -5720, -5725, -5730, -5735?\n\"Answer: -5*n - 5710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z + 1\/84*z**8 + 0*z**6 - 6*z**2 + 0*z**4 - 2\/15*z**5 + 0*z**7 + 0*z**3 + 0. Find the third derivative of b(r) wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 - 2 = -3*x, 0 = 2*x + 4*r - 20. Suppose 20 + 0 = x*b. Sort b, -5, 0 in descending order.\nAnswer: b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -11 - (10 + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, v: 4, g: 1, h: 3, k: 2}. What is prob of sequence hgrr?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 14 + 46. What is the tens digit of (-532)\/(-16) - (-3 - -4)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2*v - 93246067*r**2 + 52*r*v + 370533*v with respect to v.\nAnswer: r**2 + 52*r + 370533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*v + 191*v - 380*v = -1695 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -17. Let l = u - -4.7. Let x = 5 - 5. Put x, 5, l in increasing order.\nAnswer: l, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/273 and 103\/468.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1795 or -2\/3?\nAnswer: 4\/1795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22\/88 - 33\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7522775.73 - -7563238. Let q = x - 41048.2411. Let h = q - -586. What is h rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1343 + -1340.17. What is v rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5299 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o - 2. Let a be u(2). Let f be 3\/(-12) + 868\/a. Suppose -f = -p - p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2. Let q(v) be the first derivative of -371*v**2\/2 - 1229. Determine q(d(t)).\nAnswer: 1113*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - -4. Let m = -8 - -7.5. Let a = -952\/9 + 106. What is the third biggest value in k, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(1*(sqrt(21)\/sqrt(7) + sqrt(3))*-2 + (4*-3*sqrt(243))**2).\nAnswer: -314928 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r**4 + 1\/60*r**6 + 0*r + 4 + 0*r**5 + 91\/6*r**3 - 11\/70*r**7 + r**2. Differentiate w(o) wrt o.\nAnswer: -132*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -4 - 6 - (17 + -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (5 - 2))\/(1\/16). Suppose u + 2*p - 4 = x, 0 = -u + p + 35. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7872 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 776261 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3121203*l - 3121201*l + 63*l**3 - 27*l**3.\nAnswer: 36*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.4 and -9?\nAnswer: -183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14124, 14115, 14084, 14025, 13932, 13799, 13620?\nAnswer: 13389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 15, 27, 43?\n\"Answer: 2*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 997103975 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 3)*(-1172*c**2 - 1032*c**2 + 2606*c**2) + 4*c**2 - 6*c**2 + c**2)*(-2*c**3 + c**3 + 2*c**3).\nAnswer: -805*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * -1.3.\nAnswer: 209.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3082 and 2948?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-695)\/25 - -14 - -14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 12*u - 12 = 0, -2*a + 2 = -15014*u + 15017*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiee when four letters picked without replacement from iiseiie.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s + 212*s - 115*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31757 - -0.1.\nAnswer: 31757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.4785 - -1.\nAnswer: -21.4785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 4*n, -17 = -r - 5*n. Solve 18 = -m + 3*m + 4*b, 2*b = r*m - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441673 and 2727.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -959, -1903, -2833, -3743, -4627, -5479, -6293, -7063?\n\"Answer: y**3 + y**2 - 954*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31.54. Let s = 4.54 + k. What is the smallest value in -1, 0.3, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/460)\/((-36)\/(-10)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (189\/105)\/((-6)\/(-20)). Let h be (-23968)\/(-15) + v\/(-45)*-1. Calculate the highest common factor of h and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 - s + 21. Let u = -29 + 28. Let n be (-4)\/4 - (u - 0). List the prime factors of x(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 12415*u - 35.\nAnswer: -12415*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 17*w**3 + 8 - 9*w**2 - 7 - 25*w**3 + 14*w**3.\nAnswer: -37*w**3 - 9*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (26 - 30)*10851\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -30100*a - 581. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 10*t + 25. Let c be g(-4). Suppose 4 = 5*b + 29. Let u be (-8)\/2 - b - c. Solve 0 = -2*n - u + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308868155 to the power of 1\/2, to the nearest integer?\nAnswer: 17575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139 * -0.051.\nAnswer: 7.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -354 - 4?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddrddddddddddddd. Give prob of picking 4 d.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k + k - 2*k + 5 - 9*k. Calculate p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -52161 and -52163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**8\/84 - 11*p**5\/60 - 27*p**2\/2 + 20*p. Let g(s) be the first derivative of q(s). Find the third derivative of g(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 44 = -f + 198, 770 = 5*f + 5*y. Suppose 0 = 2*r - r - f. Calculate the greatest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3947*h + 73641. Calculate w(19).\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let c = -1 - 4. Let b(j) be the third derivative of j**5\/60 + j**4\/4 + j**3\/2 + 10*j**2. Let d be b(c). Determine m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -1\/2, 2218, -0.05?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2505305 and 820?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -0.007344?\nAnswer: -0.00014688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -9, m + 4*m = -u + 23. Let l be (-2 - (1 - m))\/(-1). Sort -3, -14, 5, l in decreasing order.\nAnswer: 5, l, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*n + 21, -3*n = 4*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 18*u**2 - 81*u - 77. Let p be m(22). What is the highest common divisor of 3157 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 30*x**2 + 2*x + 8. What are the prime factors of p(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -5, 0, -143, 3, -3.\nAnswer: -143, -5, -3, 0, 3, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144871\/1040 + -3587\/26. Calculate the common denominator of 41\/2032 and r.\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 8 = 3*d, 3*w = -23*d + 25*d + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2165 = -0*j + 3*b, 3*b + 5360 = -5*j. Let o = -1073 - j. Factor 88\/13*c - 8\/13 - 322\/13*c**o + 392\/13*c**3.\nAnswer: 2*(4*c - 1)*(7*c - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 2. Suppose 0*a + q = -4*a + 37, 4*a = q + 27. What is the greatest common factor of h and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/5)*g*g**(3\/7)*g*g**10*g\/(g*(g*g\/(g**(2\/13)*g)*g*g)\/g*g) assuming g is positive.\nAnswer: g**(4087\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 39179424.\nAnswer: 274255968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1908382 divided by -3521?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 282, 847, 1414, 1983, 2554?\n\"Answer: j**2 + 562*j - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) -1499654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17070*16\nAnswer: 273120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u. Let l(w) be the first derivative of -19*w**3\/3 + 165. What is l(n(o))?\nAnswer: -3724*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*v**2 - 140*v - 16*v**2 + 31*v**2 + v**2 - 3*v**2 + 0*v**2 + (-4*v**2 - v**2 + 3*v**2)*(-1 + 2 + 0).\nAnswer: -6*v**2 - 140*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/6))\/(s*s\/s**8*s*s))\/(s**(-9)\/(s\/s**(-11))))**(-2\/89) assuming s is positive.\nAnswer: s**(-155\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9693*b - 9745*b + 19474*b. Let f(j) = 2*j**2 + 5. Determine m(f(u)).\nAnswer: 72*u**2 + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 8*l**2 + 3*l - 8. Let p be k(-7). Let d = p - 8. List the prime factors of ((-51)\/d)\/((-1)\/4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -15, -4 in descending order.\nAnswer: -1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -0.2.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -68693*p - 3557. Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from ieniieynjlei.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11))**(-47)*((w**1\/w)\/w)**8 assuming w is positive.\nAnswer: w**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001101011 (base 2) in base 11?\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5*370*(-3)\/6. Suppose 23 = -c*n + 134. Solve 5*g - n*b = 15, -2*b = -b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 + 7*m + 8. What is h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -23*l. Let j(s) = -8*s. Determine j(q(v)).\nAnswer: 184*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:13 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/17 - 188688*c**2\/17 + 377368*c\/17.\nAnswer: 2*c*(c - 94342)*(c - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21034 by 2.\nAnswer: 10517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 + 12270 - 12270. Let s(r) = 9*r**2. Calculate s(m(k)).\nAnswer: 729*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-8)\/(-32)*-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2063875 and 27808?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 6, g: 3, x: 3, e: 2, m: 6}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56290697 to the power of 1\/2, to the nearest integer?\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1211897361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 - f + 3. Let c be n(0). Suppose 2*p - c*o = -19 - 2, 0 = -2*p + o - 11. Let j = 0 - p. Solve 5*w - 6*z = -4*z, j*z = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 + 192735*t**4 - 1156295*t**3 + 2505225*t**2 - 2312480*t + 770820 = 0. What is t?\nAnswer: 1, 2, 38541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 23*x**2 - 21*x - 94. Give p(22).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-1)\/23*2. Let q(u) = -u**2 + 5*u - 3. Let i be q(5). Let k = -181\/26 + 58\/13. Which is the nearest to 0? (a) k (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let p(l) = 3*l**2 + 0*l**2 - 44 + 44. What is p(o(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.041 + 0.241. Which is greater: 32 or t?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -24 - 25 - -21) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3529 divided by 687\nAnswer: 3529\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 2\/23, 4, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049121 rounded to seven decimal places?\nAnswer: 0.0000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 25*d**2 - 21*d**2 - 3 + 0.\nAnswer: 4*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603045 is divided by 100190?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let t be k(3). Suppose 3*o + 4*b - 4 = 0, 5*o - o - t*b + 2 = 0. Suppose o = -5*z + 522 - 42. What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 - 8*d + 5. Let a be (21\/9)\/(2\/(-6)). Let y be q(a). What is the highest common divisor of y and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-125) - (1 - (-56)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f - 46. Let c = -10 + f. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (425\/(-2))\/(-25) - 3\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15182463*m**3 - 1462877*m**2 - 62*m + 1 wrt m.\nAnswer: 91094778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174\/203)\/(12\/(-63))*119\/(-51).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 20 + 16 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386379*h + 2 + 7542*h**5 + 387020*h + 4060*h**5 wrt h?\nAnswer: 232040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*h + 423*h = -a + 24, a = -4*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791567 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) 0.3 (c) 1 (d) 101\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 130 - 295 = -3*p, 145 = 4*k + 5*p. Solve 6*i = i + 4*y + k, 4*i + 17 = -5*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y*y**(2\/5))\/((y\/(y*y**2\/y))\/(y**(-3)\/y)) assuming y is positive.\nAnswer: y**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t + 10*t**2 - 6*t**2 - 2*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41843944 rounded to 3 dps?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1*1*1. Let m = -36367 - -36366.6. Which is the closest to p? (a) 0.2 (b) m (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171))**2 + (sqrt(19) + -1)*6)*1.\nAnswer: 12*sqrt(19) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1007*h - 241627. Determine y(-240).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.1 - 2.1. Let n = -8 + g. Which is the smallest value? (a) 0.3 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = s + 4, -4*s - 2*y + 4 = -46. Calculate the smallest common multiple of s and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + 2. Let h = -1 - -1. Let f = n - h. Which is the nearest to f? (a) 4 (b) -6\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (2*sqrt(77) + sqrt(77))*6)*-1)\/(sqrt(700)*-1 - (sqrt(7) + -1*sqrt(567))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 0.09302989\nAnswer: -2.23271736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2, -9 in decreasing order.\nAnswer: 2, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/3864 and -25\/6.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose -10 = -3*n - 0*a + 2*a, h*a = -2*n - 15. Suppose -3*p + 99 = -n*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -113. Let q(u) = -u - 2. Let l be q(-3). Let a = 1 - l. Solve a - 4 = r - c*o, -4*r - 3*o = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 95*t + 160. Let n(l) = -l**2 + 32*l - 53. Let z(o) = 4*b(o) + 11*n(o). Is z(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*z - 3*n, -2*z - n + 2*n = -2. Which is the closest to z? (a) -0.3 (b) 0.3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342697501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t - 48*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgjgmmmvgmgmmgglv. What is prob of picking 1 g, 2 m, and 1 l?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + 9*o + 6. Let j be c(-3). Let w be 3\/j - -2 - 315\/(-35). Solve w*v + 40 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/333 and 14\/37.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 140485 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297517.\nAnswer: 3, 41, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -4*i**5\/25 + 8*i**3\/15 - 4*i\/5 + 3. Determine o, given that h(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3 + (-3 - (-1 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {t: 1, z: 1, v: 3, c: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 (base 13) in base 14?\nAnswer: 111c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 23*u - 39. Let l be d(-21). Let t(r) be the first derivative of 0*r**2 - l*r - 3 - 2\/3*r**3. Find the first derivative of t(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*p - 13142 + 13142)*(2*p**2 - 2 + 3 + 4*p + 0).\nAnswer: 146*p**3 + 292*p**2 + 73*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28312662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -5, 2, -4, 0, 26, -1 in ascending order.\nAnswer: -57, -5, -4, -1, 0, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 1, k: 2, b: 1, g: 2}. What is prob of picking 2 k, 1 b, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*q - 5076*q - 6694*q = 1143*q - 709935 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9977, -20148, -30319, -40490?\nAnswer: -50661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765\/19415 + (-639)\/11?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 11*r**5\/4 + 5457*r**4\/4 + 177258*r**3 + 2002546*r**2 + 6732924*r + 6851988 = 0.\nAnswer: -242, -78\/11, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 5*g - 1196378*g**3 + 599907*g**3 + 596474*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -53, -97, -165, -263?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-510)\/(-55))\/(15342\/140635).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + -3 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 less than or equal to -1758231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - t**2 - 2*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and -29\/4461.\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04218 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d**2 + 4*d - 1. Let r(y) = -26*y**2 - 9*y + 2. Give 7*b(s) + 3*r(s).\nAnswer: 13*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.07 (b) -4028 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 3. Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmnwnmwzwm. Give prob of sequence znwm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-27.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10104)\/18 - 2\/6. Suppose -5*r + r = 5*w + 2738, 5*w + 2735 = -5*r. Let j = z - w. What is the common denominator of j and 52\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -289\/2. Which is the second biggest value? (a) -20 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 1192, 1196, 1202, 1210, 1220, 1232?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -3.06. Let u = 1 + t. What is the nearest to -0.1 in u, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 232.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjuuujsuuujujujj. Give prob of sequence us.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/(k*k**(-2\/7)))))**(-39)\/(k**8\/k**(5\/6)) assuming k is positive.\nAnswer: k**(-2407\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -27*u + 2. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14378 + 6)\/4 + -3. Suppose i - 374 - t = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 7*l**2 - 10*l + 2. Let f be w(-5). Suppose 0*k = -5*b + 2*k + 486, f*k - 396 = -4*b. Calculate the highest common divisor of 28 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 967?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -3. Solve 0 = o*h + 9 - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-18) - (-4)\/(-3). Suppose f = 5*x + 89 - 24. Let y(m) = m**2 + 11*m - 21. Let h be y(x). What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 take away 0.5?\nAnswer: 1138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-392)\/(-6))\/((-6)\/(-9)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(5)*1 + (-1 + sqrt(125) - sqrt(125) - sqrt(125) - sqrt(5))**2.\nAnswer: 7*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 - 32 + 2*t**4 + 61 - 28*t**3 - 30 + 0*t**4 - t in the form i*t**4 + n*t + s*t**2 + p + q*t**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.2434ng to grams.\nAnswer: 0.0000002612434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 853*i - 12. Let s be z(12). Suppose 12*y = s - 1284. List the prime factors of y.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127310 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**20*f\/(f\/f**(-9)))\/(f\/(f*f\/f**(-6\/13)*f)*f\/f**(12\/7)))**(-9\/5) assuming f is positive.\nAnswer: f**(-2322\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 20 + 2. Suppose y*d + 30 = 8*d. Let o(x) = x**3 - 6*x**2 + 4*x + 13. Is o(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031531 to 4 decimal places.\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - -31. What is the lowest common multiple of 144 and 28\/6 - 4 - f\/(-3)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3735 - -3835. Solve 4*j + 112 = n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120*(1 + (-3)\/5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10) + 280\/(-120)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 4*z + 2. Let h be u(4). Let a be (6\/8)\/(9\/36). Suppose -4*y + 4*r - 5 = -21, 5*y + a*r = 12. Solve y*g - h*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1073209417 divided by 21902233.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = y + y. What is the third derivative of 2*o**6 + 2*o**2 + 11*o**4 - y*o**4 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 0, -5*i + 0*q + 3*q + 8 = 0. Suppose -2*j - o = 39, 3*j - 2*o + 60 = -3*o. Let z be 4\/(-14) + (-111)\/j. Solve -24 = -z*k + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-10 - (13 + -9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*q + 2120. Suppose 11*d = q + 2494. What are the prime factors of d?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11687 and 309517?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/164005 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/6 + -2\/3. Factor 0 + 0*d**3 + 1\/3*d**2 + 1\/6*d - k*d**5 - 1\/3*d**4.\nAnswer: -d*(d - 1)*(d + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(4 - 7))\/(9\/78). Suppose -h*w + 31*w - 3455 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/6)*59\/(-177).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49269 + 21979. What are the prime factors of l?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:32 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 1:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahmmahmamamaa. Give prob of sequence am.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -173. Calculate the remainder when q is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40655 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - sqrt(152)*-1) - -2*sqrt(152)*1)\/(sqrt(648) + sqrt(648) + (sqrt(648) + -2*sqrt(648)*-3 - sqrt(648))) + 5.\nAnswer: -sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (9 - 2) - (-26 + 16 + -13)) + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17685746 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*w**3 + 169*w**3 + 646*w**3.\nAnswer: 958*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 10)*-1*(1 - 2). Put 4, 37, n in descending order.\nAnswer: 37, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -34. Suppose r*q + 3*o = 24, 2*q - o - 22 = -0*q. Solve q + 10 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3 - 4) + 3)\/((-2)\/40). Suppose 4*f = 3*f - b. Let o = f - -139. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 7*x - 8. Let r be ((-60)\/21)\/(((-120)\/105)\/8). What is the highest common divisor of r and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*y = -38, -y + 0*y = m - 6. Let c = m - 6. What is the second derivative of 9*u - 4*u**c - 3*u + 0*u**4 + u**4 wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 2)*(-6*r + 0*r - r).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y + 2. Let b be m(-2). Suppose b = f + 2*f. Solve -28 = -5*i - f*i + a, 4*i - 35 = 5*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let t(f) = -2*f**2 + 3 + 3154*f + 2 - 3165*f. Let c(v) = -5*i(v) - t(v). Give c(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + ((-12)\/10)\/(30\/((-116850)\/361))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 184, 274, 364?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3916879.57926 + 2\nAnswer: 3916881.57926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 2\/11, -68\/5, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-252)\/(-232))\/(-7))\/(-6). Is h at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52 - ((33 - (1 - -36)) + 0 + (2 - -2))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*y**4 + 0*y - 20*y - 8*y + 14*y**4 wrt y?\nAnswer: 456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/9, 1\/9, -347, 2\/11 in decreasing order.\nAnswer: 3, 2\/9, 2\/11, 1\/9, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 16 = 31*b. Solve 2*m + 5 = 3*s, 4*m = 5*s - 5 - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38330156.86519 - -38329841. Let n = v + 228.865239. Let u = n - -87. What is u rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*5\/90*-1*(-4)\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239021*-2422.\nAnswer: 578908862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.244 + 174.756. Let o = s + -175.000163. Round o to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804 = -124*i + 57*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**6 + 114*y**2 + 5*y**6 - y + 19*y**6 + y wrt y?\nAnswer: 3840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 186*x**2 - 2329*x + 333014. Determine b(189).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = -775*c + 1028*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12589, -25183, -37777, -50371, -62965?\nAnswer: -75559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/36 - 22\/11.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110872 is divided by 27542?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26918219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.1. What is the nearest to 1\/6 in 1\/7, 0.1, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134622804 to the power of 1\/3, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222301\/11 + -20209. Sort 4, -532, 5, b in descending order.\nAnswer: 5, 4, b, -532","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*o - 49 = -31, -21 + 322 = -86*g - 4*o - 305 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*3\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -94 = -2*x + 4*u, -3*u - 20 = -i*x + 112. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018801713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783458*q - 1783551*q - 1488 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258 + 1743. Let q = h + -1284. Suppose -2*a + 5*i + q + 52 = 0, 3*a - 1186 = i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1628, 1.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401652833.\nAnswer: 3, 7, 37, 197, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6066.287149 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -175, -499, -993, -1669, -2539, -3615?\nAnswer: -4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 306.47021 to the nearest integer.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-9))\/((-2)\/(-3)). Let h be (3 - q)\/((-4)\/(-892)). Let w = -96 + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281060*g - 334914 wrt g.\nAnswer: -281060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f + 8. Let p(q) = -2*q - 4. Let n be p(-5). Let t be c(n). What is the units digit of (-48)\/(-28) - (-4)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/42*-2*2\/(-8). What is the biggest value in 2\/21, 0.2, k, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(2\/17)*c)\/((c*c\/(c*c**(-3\/7)))\/c) assuming c is positive.\nAnswer: c**(292\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*o - o + 8*o + o.\nAnswer: 11*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44072628.\nAnswer: 2, 3, 19, 193301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -680.96 less than -1682.4?\nAnswer: -1001.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5)*k)\/((k\/(k**(-1\/6)\/k))\/k))**41*((k\/k**(-3))\/k**(2\/11))\/((k\/k**(-2\/3))\/k*k**(-2\/7)) assuming k is positive.\nAnswer: k**(-25779\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(64\/(-72)) + 3*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7782255 to 4 dps.\nAnswer: 0.7782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-10)*10\/(-3). Suppose -h*z = -7*z. Suppose 1 = -2*f + 5. Solve -f*q + 6 = -z*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23040 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.98 + -0.52. What is h rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q**(-1\/4))**(-11) assuming q is positive.\nAnswer: q**(187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 11*g + 1. Does 4 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2316 and 1.\nAnswer: 0.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 910 and -10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6937271869.\nAnswer: 11, 4591, 137369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1365*h**2*i**3 + 36*h - 10*i**3 wrt h?\nAnswer: 2730*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*a + 5, -3*c + 12 = c - 4*a. Suppose -24 = -5*d - 5*v + c, 0 = 5*d - 4*v + 2. Suppose -d*s + 172 = 3*w, 2 = -5*s - 3. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375345 - -23548359?\nAnswer: 23173014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w**3 - 3 + 2611*w + 2609*w + w**3 - 5220*w. Let n(r) = -6*r**3 + 14. What is 14*m(o) + 3*n(o)?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11855.95699 and 2.\nAnswer: 11857.95699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*a + 2*a. Suppose 4*q - 5*q = a. Is (2\/q)\/((-2)\/596) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -856? (a) -4 (b) 3 (c) 4 (d) 1\/4 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = 2*l. Solve -b = l*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 37. Suppose -5*s + 3*r = -3*s - 32, 0 = -4*r. Let i be u(s). What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 8 = -59*d. Solve -4*w + 3 = k, 4*w = 2*w + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -562 + -2?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -2*q + 4*y, 3*y - 130 - 14 = q. Let r = q + 139. Solve -3*j - a = r*a - 4, 5*a + 8 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1641 - -2929. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 8*o**2 - 4*o + 2. Calculate a(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -h + 261, -h - 2*i = 4*h - 1320. Suppose 0 = 3*z - 6, -z = 4*y - 0*y - h. What is the lowest common multiple of 9 and 3\/5 + y\/30*2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from fyyufffyyuumy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -185. Is g < -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9888, -10499, -11110, -11721, -12332?\n\"Answer: -611*v - 9277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*d + 1 + (-41 - 8*d + 41)*(0 - 1 - 1) - 5*d + 20*d + 0*d + 0*d + 3*d + 0*d + (-1 + 4 - 5)*(-4 + 4 + d) as l*d + f and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p. Let o(n) = -1. Let k(m) = -7*m - 5. Let i(d) = -k(d) + 5*o(d). Let z be 2 - -2*(-7 + (-15)\/(-5)). Calculate z*r(c) + 11*i(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91286.61 millimeters to meters.\nAnswer: 91.28661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52301645 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-10)*((-112220)\/(-93))\/(-181).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 25, 53, 91, 139, 197?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148 less than 0.43?\nAnswer: -4147.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*w - 31*w - 109*w)*(-w + 0*w + 3*w) + (2*w - 3*w + 3*w)*(-2*w + 0 + 0) + w**2 - 2 + 2 + 5 - 5 - 2*w**2 - 2*w**2 - 3*w**2 + 6*w**2.\nAnswer: -154*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:51 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6369000 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35750125379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1805b - -2?\nAnswer: -18059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 98, -4, 1 in ascending order.\nAnswer: -4, 1, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 11 - 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 + 2*j**4\/3 - 3*j**3\/2 - 6*j**2 - 7*j. Determine v(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-24*56\/882 - -2)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2714 + 2722)*((-3)\/6)\/((-4)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + 68 - 85) + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2513 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**(36\/7) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46056\/5700 + -8)\/(4\/430).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -95*o - 378. Let l be z(-4). Let q(s) = s**3 - 11*s**2 - 10*s - 16. Let v be q(12). Solve l = -6*r + v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35944, 35947, 35968, 36019, 36112, 36259?\n\"Answer: 2*l**3 - 3*l**2 - 2*l + 35947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (80 - (20 - 14) - 25)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -26*l - 64. Let h be p(-3). Suppose -h*g = -8*g + 11*g. Are g and 3\/47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*a + 13, 3*p - 5*a = -0*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 2*h**2 + h - 4. Let p be x(-3). Let a(r) = -3*r + r**2 - 3 + 4 + 2. What is the units digit of a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19110 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6315 and -76\/15.\nAnswer: 6315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -14. Let f(q) = 21*q - 5. Let z(y) = 31*y - 8. Let s(u) = 8*f(u) - 5*z(u). Let i be s(b). Solve -5*t - i + 17 = 5*w, 3*t = -2*w - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1015373909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 4\/16. Suppose 2*d - d - 17 = f. Calculate the remainder when 10 is divided by d\/3 + 4\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 36*j - 2201. Let r(s) = 21*s - 1100. What is 3*o(q) - 5*r(q)?\nAnswer: 3*q - 1103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.02 (b) -3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 - 660*d - 8343. Determine m(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*c**2 + 35*c - 35*c - 4*c**2 - 6*c**2 + 3*c**2 - c**2 + 3*c**2 - c**2 + (-7 + 3 + 2)*(c**2 + 2*c - 2*c) to the form i + y*c + k*c**2 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-20) - 5)*5*10\/135?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a - 3*a - a)*(1 + 2*a - 1) - 2*a**2 + 2 - 2 - 4*a**2 + 3*a - a**2 + 1 + 4*a**2)*(-524 + 104 - 1087).\nAnswer: 10549*a**2 - 4521*a - 1507","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m\/(m\/(m*m\/(m*(m*m**(-1)\/m)\/m)))*m*m**2*m\/(((m\/(((m*m*m**(-2\/17))\/m)\/m))\/m)\/m))\/((m**(-4)*m)\/m**4)**(-25) assuming m is positive.\nAnswer: m**(-2841\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dwbgeqbge.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2956401 and 8064?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 40*c - 57562. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/(-28) - 5)\/(1\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 - 26*w - 1. Calculate j(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 2. Let t(x) = x - 2*x - 3*x + 5*x + 5. Give -2*t(o) - 5*w(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*t**2 + 178*f**3 - 20*f**2*t - 1046*f*t**2 - 16*f*t wrt f.\nAnswer: 6*f*t**2 + 1068*f - 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 5*t**2 + 8*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 78. Suppose 6*g = -m*g + 15. What is the second smallest value in -0.2, -1\/2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffiffffffq. Give prob of picking 1 f, 1 i, and 1 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2123.3688 to the nearest integer.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 39*k - 54. Calculate x(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-22)\/(-11))\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 103950080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59953761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12191 - -146435\/12. Find the common denominator of -137\/480 and s.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1801*w**3 - 22*w**2 + 2*w - 559. Let h(l) = -3599*l**3 + 55*l**2 - 5*l + 1119. Let q(y) = -2*h(y) - 5*x(y). Differentiate q(k) wrt k.\nAnswer: -5421*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 398 - 274. Is 62 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -117, -412, -993, -1956, -3397, -5412?\n\"Answer: -16*s**3 + s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 2. Suppose -17 = 4*w - 61. Let j(i) be the second derivative of -i**4\/3 - i**3\/6 - 5*i**2 + 23813*i. Calculate w*k(f) - 2*j(f).\nAnswer: -3*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - 984\/(-36). Let h = d + -16. Suppose 7 = w + 3*z, 3*w - 3*z - 13 = -w. Solve -j = -5*k + h, -4*k = k + w*j - 31 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.1. Let s = -86 + 89. What is the closest to j in -2\/7, s, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a + 1. Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s. Let z(x) = 66*x - 3. What is 12*q(y) - z(y)?\nAnswer: -114*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6087 - 3108. Does 110 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639, -13020, -43895, -104014, -203127, -350984, -557335, -831930?\nAnswer: -1184519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31bd - -1c1?\nAnswer: 33a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (-6 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17127*-74.\nAnswer: -1267398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(((-1)\/(-3))\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 6, 2*o + 4*d - 56 = 2*d - 44 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4558072 days in milliseconds?\nAnswer: 39381742.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, y: 3, p: 1, a: 3, m: 5}. What is prob of picking 2 s and 1 y?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -880 - -1243. Let m = g - 353. Solve 4*z - m = 3*w, -w + 6*z - 7 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - d**3 + 8*d**2 + 0*d**2 - 3*d. Let l be b(2). Sort l, 4, 1.\nAnswer: 1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 1482339?\nAnswer: 1482331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1168, -2334, -3500?\nAnswer: -4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30618 is divided by 2030?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 77*c**2 - 69*c - 665. Let m be j(78). Solve 0 = m*r - 54 - 131 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-20)\/(-4) - 48\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12829 - 12800. Solve -o - j = -25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7) + (-23 - (-5 + 8) - -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a + 19. Let j = a - -12. Solve -2*o = j*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c3 - -3?\nAnswer: 3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21245 - -21244.99995977. Round m to seven dps.\nAnswer: -0.0000402","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 28. Let h be l(-13). What is the greatest common factor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*i - 18, -4*i = 3*u - 3*i - 10. Suppose 4*h = -r + 16, 21 = u*r + r + 3*h. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*k + 3247, 5*k = 1 - 6. Let g = v + 25915\/8. Let z = -65\/2 + 145\/6. Calculate the common denominator of z and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6648797\/132 + 50376. Let k = 22318 - 736634\/33. Let u = k + y. What is the common denominator of u and -11\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2116\/210 + 2\/5. Let m = 64\/7 - r. Let d be (-2)\/(-56) - (-10)\/(-35). What is the biggest value in d, m, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 21?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmqqqqqqqmqqpqmpqqq. Give prob of picking 1 m and 1 q.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {s: 5, y: 1, k: 6, i: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-13)\/((-65)\/15). Suppose -p + 4*b = -3*p + 34, -p + 7 = w*b. Calculate the remainder when p is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2597)\/637)\/((-1)\/13))\/((-7 - -13) + -7).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*f**2 - 392*f**2 - 329*f**2 - 383*f**2 - 773*f**2.\nAnswer: -1629*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = -0*j. Find the third derivative of -13*x**4 - 9*x**2 - 11*x**j - 13*x**4 + 29*x**4 wrt x.\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*z + 7*z. Is 17 a factor of (3 + (z - 6))\/((-2)\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213531 divided by 64.\nAnswer: -213531\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -24. Suppose -p**y + 3*p**4 + 6*p**3 + p**2 - 5*p**3 - 4*p**3 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 - 4, -2*p + 35 = -x. Suppose -2 = -3*l + 5*r, -2*l - 3*r + p = 2. Let q(o) = -5*o + 3. Determine q(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0*o + o - 3*o. Let a(f) be the first derivative of -2*f**2 - 4. Give a(l(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108 a factor of 491473876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2819*m - 2828*m + 5644*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 - 31*a - 16. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0444 or -3\/8315?\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2214 - 2214. Solve -3*o - 3 = g, -5*y = 4*o - 15 + 39 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y - 565. What is s(0)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 4*i - 4. What is the units digit of k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -301. Let x = c - -130. Let d = x + 86.906. What is d rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 11. Let l = n - 7.4. Let v = 1.2 + 1.8. Which is the smallest value? (a) -2\/7 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 2 j when four letters picked without replacement from jwwkqjjjwwv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 3*p**2 - 1 - 2*p - 3*p)*(3*p**2 - p**2 - 4*p**2).\nAnswer: -6*p**4 - 4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(693\/15435))\/(15\/3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -675, -3, 4867?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001132 (base 4) in base 8?\nAnswer: 10136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 64745*m**3 + 279869850*m**2 + 405609143500*m + 7605984145000.\nAnswer: 5*(m + 19)*(m + 4310)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 636 = 4*r, -4*r + 636 = 21*p - 16*p. Calculate the greatest common factor of 795 and r.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from rwsuwsrfuswfwsppsw?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-12)\/9*207\/(-644)). What is the third biggest value in -0.3, -1\/98, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:13 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(51\/(-18))*9237\/(-1). Is (1\/(-2))\/(5 + r\/(-11084)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -127 and -0.32.\nAnswer: -127.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldwlllwudllldwdlp. Give prob of picking 3 l and 1 u.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1568 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/283 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1138*k + 955*k + 1370*k - 2.\nAnswer: 3463*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84dac + -2?\nAnswer: -84db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + x**3 + 4*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) + sqrt(6))*-1)\/(1*4*sqrt(2)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/1068*-4*6\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -6 (c) 32\/11 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/45 - 25*s**4\/27 - 52*s**3\/27 + 54*s + 3. Factor g(l).\nAnswer: 4*l*(l - 26)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -4. Let w(a) = 10*a. Let u be w(k). What is the highest common divisor of 80 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -5 + 0 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 - 2*k - 1. Let r be p(-1). Let c = 4501 + -4500.7. What is the third smallest value in c, 0.2, 1\/4, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 4095600.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78570a (base 16) in base 4?\nAnswer: 132011130022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 0.2 (b) 8\/57 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by (-3 + (-1524)\/(-16))*24\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.71169 to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (108\/(-180))\/(6\/(-20)). Let v be (-135097 + (-18)\/12*k)*10. What is v rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144.7673 * 0.8\nAnswer: 115.81384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*1.5776.\nAnswer: -23.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.17 (c) 3\/8 (d) 456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:54 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 63 = 17. Suppose s + 2*s = 9. Put s, c, -2, -1 in increasing order.\nAnswer: c, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 7, t: 2, p: 9}. What is prob of picking 1 t and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 53*c**3 + 68*c**3 - 48*c**3 + 41*c**3.\nAnswer: 116*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4010766 is divided by 668454.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 227572\nAnswer: -39\/113786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1389?\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/70023 and -44\/243021.\nAnswer: 4131357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8*j = -x + 32, -x = 3*j - 48. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1260588*z + 1556148?\nAnswer: 1260588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -20, 0.23, 2\/51, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-162)*15\/120 + (-46)\/252\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 - 4)*(-2*n + n + 2*n)*(-3 + 1 - 1) as u*n + k and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 24*f + 12864. What is the highest common factor of 67 and f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 6*y + 6*y**4 + 8*y - 3*y - 7*y**4 - 15*y**2 in the form d*y**3 + n*y**4 + g*y + r + x*y**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*k - 1, -128*k + 126*k + 20*n + 20 = 0. Find d, given that k - 12\/5*d + 2\/5*d**2 + 8\/5*d**3 + 2\/5*d**4 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*o*p - 35609*o + 81*p + 762 wrt o.\nAnswer: -14*p - 35609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**7\/1050 - 11*r**6\/900 - r**5\/60 + 31*r**3\/6 - 2*r - 18. Let v(t) be the second derivative of x(t). Factor v(m).\nAnswer: -2*m*(m + 5)*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 94. Calculate the remainder when o is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4aa4 (base 13) to base 12\nAnswer: -6184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(686)*1)\/sqrt(2))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1494*f**2 + 92*f**3 + 983 + 280 - 2*f + 1069 - 1494*f**2 wrt f?\nAnswer: 276*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 1594 = 75*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30395656 is divided by 4035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.15 + 66.15. Let v = 0.3 - -0.2. What is the second smallest value in -0.5, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 0*q**4 - 4*q + 3*q**3 + 2*q**4 - 1 to p*q**2 + y*q + l*q**4 + n*q**3 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 156305 = -5*t, -5*q = -0*q + t - 156329. Suppose 58735 = o - q. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410914 to the power of 1\/2, to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*(d\/(d*(d**10*d)\/d))\/d*d)\/(d*d\/(d**(-1\/20)*d*d)))\/(d**22\/(d\/(d\/(d\/(d\/(d**(-11)\/d)*d))*d))))**(-1\/11) assuming d is positive.\nAnswer: d**(881\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 205.6583, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303 times 0.014?\nAnswer: -0.0004242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64592796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 707 + -5e?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u = -4. Sort -11, u, 0, 1 in ascending order.\nAnswer: -11, 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-3)*(0 - 495). What are the prime factors of v\/14 - (-56)\/98?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -439 less than or equal to 8\/1061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8761 + 0.6761. What is the third smallest value in 0.7, 1\/5, -3, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(475) - sqrt(475)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1515, 1514, 1513, 1512?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from heehheeevveineinveh.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*x - 71 = x, -3*x = 4*b - 32. Calculate the remainder when 9\/(-4)*64\/(-6) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-1) + 0*5\/20. Factor 43 + 29 - 8*a**2 + r*a**3 - 187*a + 351*a - 200*a.\nAnswer: 4*(a - 3)*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h = 12. Suppose -5*n + 0*y + 3*y + 62 = 0, 2*n + 4*y - h = 0. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:02 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -923.718 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364 + 619. What are the prime factors of j?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419012693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5309 + 5306. Suppose -4*f - 20 + 4 = 0. Let n = -6 - f. Sort 0.3, n, t in descending order.\nAnswer: 0.3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-5\/8)*(z\/((z**(-4\/3)\/z)\/z))**(-43) assuming z is positive.\nAnswer: z**(-2221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3*h + 2*b**3*s**3 + 203*b**3*s + b*h*s**2 + 2*h*s**3 wrt h?\nAnswer: -3*b**3 + b*s**2 + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**2 - u - 6. Let o be l(-2). Let y = o + 73. Let s(t) = t**3 - 6*t**2 + 7*t - 4. Give s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**5\/5 + 155*s**4\/2 + 5076*s**3 + 96228*s**2 - 2204496*s - 1580. Suppose b(m) = 0. Calculate m.\nAnswer: -54, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbabaaammbmmmm. Give prob of sequence bma.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112756014?\nAnswer: 2, 1056378007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 516720165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-11\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yea when three letters picked without replacement from {p: 4, e: 7, y: 3, b: 1, a: 3}?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30314 by 30314.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.6 and 0.5.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -7dc0ba?\nAnswer: 7dc0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53147*p - 90 = 26575*p + 26588*p + 22 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312578 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 2424.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 - -3259. Let t = 2901.3 - p. Round t to the nearest integer.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -54, -77, -98?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-15))\/(-2) + (-46)\/115.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 36*d - 753. Let r be s(20). Which is bigger: 1\/4 or r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-3 - 1) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 - 150*y + 34870. Calculate r(-114).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 - 286. Let r(a) = -a**2 - 4*a. Give r(f(d)).\nAnswer: -d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 7*n**4\/12 + n**3 + 4*n**2 + n. Let h be o(6). Factor 4 + 2*r - r**2 + r**2 - h*r + 2*r**3.\nAnswer: 2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 587*b + 2*b**3 + 10*b**2 - 581*b - 2*b**2 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5338912330 to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/(-20) - (-14)\/(-35))*(-25265)\/93. Which is bigger: m or -409?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyp when three letters picked without replacement from iyvlyvipislyv.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 16648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k - 2. Let f(z) = 3*z**2 - 11*z + 5. Let h(q) = q + 8. Let n be h(-6). Give n*f(i) + 5*l(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -19.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58900324 - -12.\nAnswer: -58900312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 339 + 501. What is the highest common factor of p and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -22 + (-13 - -95 - 93).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195154, -195161, -195168, -195175, -195182?\nAnswer: -195189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96465, -192923, -289381, -385839?\n\"Answer: -96458*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5944 (base 10) in base 14?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:59 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = 4*m + 5*y, 2*m = 2*y + 10. Let u be (30\/4)\/((-27)\/(-36)). Solve -u = q - 2*b, b - 1 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 113 = -3*a. Let g = -63 + a. Let h be (-2 - g\/10)*2. Solve 0 = -3*i + r + 19, -4*i + 45 = -h*r + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w = -168, p + 224 = -3*p + 4*w. Suppose 3257 = -4*d + 3245. Let t be 7\/(p\/(-372))*2\/d. Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468854 is divided by 33466?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20010 + 1000121?\nAnswer: 210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5 - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -271\/6. Let m be -1 + 0 - 40\/(-28). Let r = 0.7 + -0.6. Which is the closest to r? (a) m (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 4. Let s = g - 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**2 + 16*x - 21. List the prime factors of y(7).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36)\/(-2) - (-8 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -182, -360, -538, -716, -894, -1072?\n\"Answer: -178*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h + 15. Let o(p) = 3*p + 7. Suppose 22*x - 70 = -114. Give x*y(t) + 5*o(t).\nAnswer: t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2986844, 5973687, 8960530, 11947373, 14934216, 17921059?\n\"Answer: 2986843*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(204) - (-2*sqrt(204)*-5 + sqrt(204)) - sqrt(204))\/(sqrt(24)\/sqrt(2)*3)*3*2*-5.\nAnswer: 4 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 4. Let a be r(9). Let m = -3 - a. Let i(t) = -1 - 3*t + m + t + 0*t. What is i(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/69 and -17\/98.\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 39 + (30 - 59)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5664 divided by 96.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 17\/6*l**3 - 3\/8*l**4 + 0 + 0*l + 4*l**2. Let s(h) = h - 3*h - 3*h + 6*h - 2. Calculate -6*b(y) - 51*s(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 1151 = -1289 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -4\/5 (c) -2\/17 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4463?\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*u + 4 = 2*u, 3*j - 2*u = 0. Let x(n) = n**3 + 4*n**2 + 4*n + 3. Let v be x(j). Solve -v*r + 3*t + 12 = 0, -3*r + 1 = -t - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/11)\/h**(-13))\/(((h\/(h\/(h*h**8))*h)\/h)\/(h\/(h*h**(1\/3)*h))))**(3\/37) assuming h is positive.\nAnswer: h**(70\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31168540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 133 - 5*v**3 - 62*v + 26*v - 133 + 115*v**2 - 74*v = 0?\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*v - 63 = -4*b, -107 = -4*b - v. Calculate the remainder when b is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {c: 2, n: 4, t: 2, h: 4, k: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-1 - 6\/(-5)). Which is the closest to -1? (a) w (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, c: 3, e: 1}. Give prob of sequence ec.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 9 = 0, 12 = -3*j - 99*k + 95*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 minutes after 7:15 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 111201025?\nAnswer: -111201024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:47 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 306 + 295 = -h, -3*h - 4*k - 7 = 0. Let d(t) = -t**3 + 2*t**2 + t + 1. Let g be d(3). Sort -2\/13, 2\/7, g, h.\nAnswer: g, -2\/13, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.95 - 0.05. Let x = c + 3.2. Let r(m) = -m - 13. Let o be r(-14). What is the smallest value in x, o, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by 4499.\nAnswer: -233\/4499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157598387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*r - 265 = 0, -4*j + 128 = -j + 5*r. Let b = j + -356\/7. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:42 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8607671 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let p(w) = w**2 + w - 2. Let z be p(o). Let t = z + -1. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 4380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in -0.5, -51, -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*o + 26 = m, -o = 3*m + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 36*l**2 - l. Calculate h(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -2 - (sqrt(5) + -2 + 4).\nAnswer: -4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/3 + 2\/(-3). What is the units digit of 5\/(i\/(-28)) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:25 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1226 + 1244. Let r(z) = z**3 + 4*z**2 + 2*z - 1. Let i(y) = y**3 + 5*y**2 + 2*y - 1. Let v(p) = 2*i(p) - 3*r(p). Let a be v(-3). Are a and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 2*j + 4. Give f(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 11*a + 2. Suppose -2*k = j + k + 2, -2*k - 8 = -j. Let z be (-1)\/j + (-47)\/4. Calculate the lowest common multiple of x(z) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3 - 1 = -24*a, 3991*t - 3995*t = -76 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2)*k)\/k)\/k**(-5)*k\/k**(-3\/7)*k*k**(-1)*(((k**(1\/5)\/k)\/k)\/k*k)\/(k*k**(2\/11))*k*k**(3\/8)*k*k**(-2)*k assuming k is positive.\nAnswer: k**(11771\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qflqlflfqqiiffffliq. What is prob of sequence lfqi?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 792 - 789. Let v(w) be the second derivative of -w - 1\/3*w**g + 0*w**2 + 1\/2*w**4 + 0. What is the second derivative of v(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 20112100210?\nAnswer: 20112100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 907049 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 10*k - 8*k - 2*k**3.\nAnswer: 2*k**3 - 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44661*g**6 - 525*g**2 + 84*g.\nAnswer: -5359320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.3 in 4, -2.6, -4.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 5, r: 1, k: 3, p: 1, f: 2}. Give prob of picking 2 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p = -38*p - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215059 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b - 9. Let f(c) = -8*c + 10. Let s(x) = 5*f(x) + 6*n(x). Let t(w) = 2 + 3 - 2 + 6 - 4*w. Let j(d) = 7*s(d) + 3*t(d). Differentiate j(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.1 * -79.\nAnswer: 8539.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 9535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/10*z**2 - 7\/200*z**5 - 25 + 1\/20*z**3 + 1\/40*z**4 - 4*z + 1\/100*z**6. Factor h(u).\nAnswer: (u - 1)**3*(3*u + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642039, -1284046, -1925969, -2567766, -3209395?\nAnswer: -3850814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 82 = 2*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oogggogoggoogo. What is prob of picking 2 g and 2 o?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 - 2. Let d(f) = 1. Suppose -133 + 69 = 16*m. Calculate m*d(h) - o(h).\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 86. Suppose -h*g + 137 = 107. Suppose 5*f + u - 535 = 0, -428 - 117 = -g*f + u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -7 + 2 + -15 + -7 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 206515713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 3\/(-3))\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 20*p + 85. Let q(u) = -19*u - 70. Let o(w) = -5*f(w) - 6*q(w). Let g(c) = -c + 1. Determine -15*g(a) - 3*o(a).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600776262.\nAnswer: 2, 20593, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*i - 7, 0 = 5*i + 2*d + 3*d - 10. Let x = 0.9 + -1.01. Let o = 0.11 + x. Which is the biggest value? (a) -0.4 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(77) - -3*(sqrt(77) + (sqrt(77)*2 - sqrt(77) - sqrt(77))))\/(sqrt(1331) - (6*(sqrt(1331)*-1 - sqrt(1331)) - sqrt(1331) - sqrt(1331))).\nAnswer: sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.03 (b) -3 (c) 0.2 (d) -3\/4 (e) -6003291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 - 0.11. What is the closest to -0.1 in q, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163089*x**3 - 41556*x**2 - 2*x + 1?\nAnswer: -978534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 478998 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 22, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**2*n))\/n*n*n**(-3\/7)\/n)\/(n**(-2\/7)\/n)**(-18\/13) assuming n is positive.\nAnswer: n**(-474\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-9)\/162)\/(2\/(-18))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100278907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-1710)\/(-324)))\/((8\/(-5))\/(-4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -6*(sqrt(153)*5 - sqrt(153) - sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153) + sqrt(153))\/sqrt(9))**2 - (0 + -1 + sqrt(425))**2.\nAnswer: 10*sqrt(17) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 400, 822, 1190, 1462, 1596, 1550, 1282, 750?\n\"Answer: -7*x**3 + 15*x**2 + 426*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2. Let u(p) = 78*p - 3. Let f(c) = -33*c + 1. Let a(t) = -3*f(t) - u(t). Calculate l(a(g)).\nAnswer: 4851*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**2 - 7 + 3*h**2 + 23.\nAnswer: -4*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20223225 (base 6) in base 5?\nAnswer: -122010003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 4*m**2 + 3*m**2)*(4 + 3 - 70) in the form s*m + r*m**2 + t and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*i - 46, 0 = -i + 4*g + 101896 - 101919 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*l + 6 = 3*g - 7*g, 6*g + 3*l = 10*g + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -7. Let b be (-1)\/(-4) - 1185\/(-12). Calculate the highest common factor of b and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 6. Let b be c(4). Let j(f) = -f**2 + 11*f - 10. Let s be j(5). Calculate the greatest common divisor of b and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, -3*q = -5*q + 5*i + 3. Suppose -11 = -q*d + 21. Suppose -y - y = -d. Solve -f = 2*g - y - 5, -g - f + 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t + 1. Let h(w) be the first derivative of -13*w**3\/3 - 3*w**2\/2 + 2*w + 12. Let q(f) = -2*c(f) + h(f). Give q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 113*k - 585. Calculate s(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/4 + 2\/(-8). Let u(n) = 5*n**2 - n - 1. Let h be u(y). Let k be (8\/6)\/(h\/(-15)). Which is the smallest value? (a) -0.1 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 - 241*d + 286. Give f(-48).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3061 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10010111110111111111 (base 2) to base 8\nAnswer: 2276777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19249 - -19252. Which is greater: q or 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 6, -2, 2615.\nAnswer: -55, -2, 6, 2615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1182\/5 + -10628\/45. What is the third biggest value in i, -9\/46, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 242946 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 195*k**2\/2 + 63*k\/4 - 243\/2 = 0.\nAnswer: -6\/5, 27\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13528.11954 - -13541.12. Let v = 16 - 29. Let o = v + b. What is o rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = u + 16*x - 12*x, 3*x = -4*u - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4561212 and 987?\nAnswer: 4562199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 1.99. Let n = -0.4 - -0.9. Put n, 2, d in descending order.\nAnswer: 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/30*5)\/(1\/44*-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.40571 to the nearest integer.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19945 + 19945 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 4*m + 5. Let k be a(-5). Is (k + 2)*(-286)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57c77 (base 15) in base 9?\nAnswer: 465434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -5*(sqrt(35)\/sqrt(5) - sqrt(7)) + sqrt(7))**2 + 1 + (2 + sqrt(7) - sqrt(7))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2197, 0, -3, -2, -1, -56, 1 in increasing order.\nAnswer: -56, -3, -2, -1, 0, 1, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6562462252 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(-1 + (-480)\/(-475)). Calculate the greatest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:36 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 144. Calculate the remainder when 127 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 618.063 litres?\nAnswer: 618063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3 - 138*c**2 + 4320*c - 8096 = 0.\nAnswer: 2, 44, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -244, -408, -572, -736, -900?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/60 and (9\/(-18) + 0)\/((-3)\/103)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -55\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from mgtmdmggdmggt.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 99\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/5*i**2 - 1492\/5*i - 278258\/5 = 0.\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -62, -0.1, 4, 0.2.\nAnswer: -62, -0.1, 0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 3 (c) 0.04 (d) -22\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 483\/2187349 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.009 and -34.\nAnswer: -33.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000094734 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 54*n - 14. Let f(u) = -11*u + 3. Give -3*b(a) - 14*f(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - 2\/90. Let z = -3.01 - -0.01. Let y = 0 - z. Is n >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 148\/5. Let x = -6 + 3. Let h = 3 + x. Which is the nearest to -0.2? (a) l (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-5))\/(24\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -81*m**3 - 23*m**2 + 6960. Let g(d) = 14*d**3 + 4*d**2 - 1160. What is 23*g(p) + 4*x(p)?\nAnswer: -2*p**3 + 1160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 309 + 6 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d + 251. Let c be z(9). Solve 2*y + c = -2*w, 3*w - 14 = -w + 2*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-10)\/(-8))*-1. Let f = 7 + d. Suppose 10 = -i - 5*g, 2 = g - f*g. Is i bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 2.71. Let u = o + -0.11. What is the closest to u in -1\/4, -2\/5, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 4. Let p be d(-3). Let k = p - 4. Let j = 3 - 1. Sort 5, k, j in increasing order.\nAnswer: k, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.10559 kilograms in micrograms?\nAnswer: 5105590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*sqrt(171)*-6)\/((sqrt(441) - 2*sqrt(441)) + sqrt(441) + sqrt(9)) + -5)*4)**2 + -2.\nAnswer: -1200*sqrt(19) + 11567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 - 41*g**2 - 22*g - 15. What is the remainder when 943 is divided by i(-10)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-53 - 1 - (701 - 721))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let h(i) = 178680272*i**2. Determine u(h(s)).\nAnswer: 357360544*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w. Let z be (3 + (-9)\/5)\/(18\/60). Let h(f) be the second derivative of -1\/6*f**4 + 0*f**3 + 0 + 0*f**2 + z*f. What is h(o(u))?\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/(-4) + (-142)\/12. Let u = 113\/10 + l. Which is the closest to 0.2? (a) u (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 243.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/(((h\/(h\/h**(5\/2)))\/h*h)\/h*h))**(-40) assuming h is positive.\nAnswer: h**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 20, 122495 = 3*s - r + 1615125. Let j = -269545 - s. Suppose 7*k - j = 4*k. Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.036 + -51.964. Let t = q - -159. Let k = t - 107.1038. Round k to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310999 = -3*w - 730025. Let c = w + -118992. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 divided by -183?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -107 (b) -1 (c) -10 (d) -1447 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -2)\/(1\/1). Suppose -3*r - r = -4*c - 72, s*c + 32 = 2*r. Calculate the smallest common multiple of r and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j - 12*j - 5*j as l + o*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 15*j**2 - 4*j - 3. Let b be m(-1). Suppose b*h = 19*h - 306. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 23*z - 782 = 4*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 take away -1?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1144)\/(-10)*5*1. Let m = -282 + 284. Suppose d = 3*s + m*d - w, 1 = -d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201001 (base 5) to base 12\nAnswer: -3834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 353*k - 3043 - 4370 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 352165 (base 7) in base 8?\nAnswer: 173350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -7) + 9 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101*u**3 - 370*u**3 + 592*u**3 + 419*u**3 - 152*u**3.\nAnswer: 1590*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 260023, 260021, 260019, 260017, 260015, 260013?\n\"Answer: -2*d + 260025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (95 + -11 + -65)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -550, -6, 5?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1 + (sqrt(121) + (sqrt(121) - sqrt(121)*1) - sqrt(121))\/sqrt(11))**2 - 5*(1*sqrt(1331))**2)*-5.\nAnswer: 32780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y = -12. What is the units digit of (-4)\/(-16)*18*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 2 + -1 + 2. Let h be (3 - 2)\/(y - -1). List the prime factors of (-3 - 1)*1\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12400 and 11304053.\nAnswer: 11291653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1978 - 1964. Solve -44 = -3*k + t*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/(2\/4) - 9. Let c = 14 + q. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 11. Let j(o) = o**2 + 5*o + 28. Let l be j(f). Differentiate -124 + 241 + 15*b**4 - l wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.7 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**5*o)\/o)\/o*o)\/((o*o\/(o\/(o*o*o**6*o)))\/o))**(5\/6)*((o**(2\/7))**49)**49 assuming o is positive.\nAnswer: o**(2048\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2472 and 16351.\nAnswer: 13879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40528521\/8 or 5066064?\nAnswer: 5066064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 861 - 2*q + 3*q**3 - 61 - 92 to l + j*q**2 + t*q + v*q**3 and give l.\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 854 and 3332.\nAnswer: 203252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -71*a - 12. Is t(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*x + 12*p = 1858*x + 4, -4*p - 132 = 3*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -6013652?\nAnswer: 6013655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 122, 135, 164, 215, 294, 407?\n\"Answer: c**3 - c**2 - c + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2595)\/(-12) + (-2)\/8 + 1 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fospoododooooupoodop. What is prob of picking 1 f and 1 o?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 + 0.44. Which is the nearest to u? (a) -1 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 14420 + 646 + 76298 = 0. List the prime factors of t.\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (-90)\/(-15) + 5 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:20 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 39130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = -48, 2*c + 1022 = -5*y + 1032 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 + n. Give u(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4421*p - 1514*p + 10*p**3 - 1408*p - 1499*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i - 7. Let h be m(8). Let f = h + 65. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 111*a - 2343. Give w(17).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.53, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381 and 0.59244?\nAnswer: -225.71964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2, -2\/17, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57 + -4?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 11*p - 24. Suppose 13*s + 12 = 10*s. Let i be j(s). Solve 0 = -4*k - 0*t - 3*t + 25, 4*t = 2*k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.6 + 61.65. Round j to 1 dp.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(1 + 0 + 1) - 3 + 1 + 0)*(8*w - w - w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + k = -13, 3*k - 11 = f - 2. Let x = 3\/881 + -887\/1762. Which is the smallest value? (a) f (b) 0 (c) x (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17113, -18218, -19323, -20428, -21533, -22638?\n\"Answer: -1105*v - 16008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 33030.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128709 - 23\/(184\/64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 4, z: 1, i: 1}. What is prob of picking 1 z and 2 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(150)*-2 + sqrt(150) - sqrt(150)))\/(4*sqrt(300)*4).\nAnswer: -sqrt(7)\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/3 + 1)*1. Let q be u + (-19)\/(-1) - -2. What is the greatest common factor of 76 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136.134*0.12\nAnswer: 16.33608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 156*u - 11. Give a(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26255519261\/8635904 - -4664\/16867. Let v = r - -3040. Let x = v - -2551\/4608. Is x at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 18*u**2 + 113*u - 41. Let b be m(-23). Solve -5*l - 3*s - 9 = -8, -b*l + 5 = 5*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from xjxjpxjx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -651644985 at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/5305 - -503953\/116710. What is the common denominator of l and -133\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 16. Calculate the common denominator of s and 4\/6*142\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.0309 - 2.3691. Which is the smallest value? (a) q (b) -1\/8 (c) -3 (d) -2\/9 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23494912, -46989823, -70484734, -93979645, -117474556?\nAnswer: -140969467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/7 + 308358*f\/7 + 41284060\/7 = 0.\nAnswer: -154045, -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 4 + 2*m**2 + 5*m + 0*m - 3. What is the units digit of j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574539 is divided by 762?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5186)\/143*5\/30. Let k = -77\/13 - c. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32675 and 66657?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaae when four letters picked without replacement from {e: 11, a: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/126 and 72\/2688*3432\/(-162).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 3*k**2 - k. Let c(w) = 8*w**3 - 32*w**2 - 220*w. Let o(z) = -c(z) + 12*h(z). Factor o(d).\nAnswer: 4*d*(d + 4)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -909, -1487, -2065, -2643?\n\"Answer: -578*d - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2523421.22.\nAnswer: 5046842.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034 (base 5) to base 8.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 0, 5, 8 in decreasing order.\nAnswer: 8, 5, 0, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 37*b - 3 = 0. Let i = 3 + b. Solve -4*k = -2*x - k + 6, -1 = 3*x - i*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3001353*w**4 - 3*w**3*x**2 + 8*w**2*x**2 + 276*w**2*x + 2*w**2 + 155*w*x**2 wrt w?\nAnswer: 72032472*w - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/2 - b**3 + 2. What is the remainder when 11 is divided by c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*y = 32, 0 = 8*v - 3*v + 5*y. Put -3, 7, v, -4, -2 in ascending order.\nAnswer: -4, -3, -2, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7215.\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9926 - -9881. Which is the nearest to -1? (a) -2 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149\/4 + 37. Let f = 4 + -38. Let t = 33.7 + f. Sort t, -0.2, x in decreasing order.\nAnswer: -0.2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgngdgggnnuruugn. Give prob of sequence dgg.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 2:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r**4 + 4\/3*r**3 + 0*r - 2*r**2 - 129. Let f(q) = -8*q**3 + 3*q**2 - 3*q. Give -3*a(j) + 4*f(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 30 - 32. Suppose 4*l - 2*l - 4*u - 612 = 0, 2*u + 616 = j*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d + 1\/4*d**4 - 1 + 0*d**2 - 2\/3*d**3. Find v, given that r(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 12*p. What is the tens digit of c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/60 - q**4\/3 - 7*q**3\/3 + 60*q**2. Calculate the remainder when 2 is divided by k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1*-3) + 45. Let v = 109 - a. Let c = -25 + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -53, -1\/4, 1\/10, 16, 0.24, -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2262.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 - 6*r**2 - 4*r**2 + 4 - 6*r + 0*r. Give t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45125*d**3 + 29353*d**2 + 4*d wrt d?\nAnswer: -270750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2353, -2356, -2359, -2362?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*b, 3*u - 5*b - 10 = -2. Let g(o) = 2*o + u + 1 - 3*o**3 - 4*o**2 + 4*o**3. Let v(p) = p + 1. Let n be v(1). Determine g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 497322496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 913*k**5\/60 - 29*k**4\/6 + 48*k**2. What is the second derivative of h(v) wrt v?\nAnswer: 1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = -100. What is the least common multiple of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*l - 92, 34 = -0*p + 2*p + 3*l. Let i be (-6)\/5*p\/(-8). Solve -1 = -b - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2337429 and 59\/144.\nAnswer: 112196592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9437.66198 to the nearest 100.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -463 - 0?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) - (-6)\/(-4). Put 1\/6, q, -0.1 in decreasing order.\nAnswer: q, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/4 + 57*i**2\/4 + 33*i\/2 - 30.\nAnswer: -3*(i - 20)*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -355692158.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*f + 3*p + 3, 2*p - 14 = -5*f. Suppose -5*c = x - 7 - 10, f*c + 5*x + 7 = 0. Solve -c*s = 1 + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2*l**5 + 2*l**4 - 8*l**3\/15 + 24. Factor f(m).\nAnswer: -2*m**2*(5*m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -c + 12, -c + 3*w - 4*w + 16 = 0. Which is smaller: 1\/2 or c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15072 by 471.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Suppose v = n - 6 - 5. Let i = -6 + n. Solve 5*a + i*l + 7 = -18, 5*a + l + 17 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-393)\/12*(4 + -6 + -2162) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 10. Let j(k) = -4*k - 9. Let s be j(n). Let q be s\/(-39) - (-14)\/42. What is the third smallest value in q, -2\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.1 + 8. Let x = 7.34 + -7.44. What is the closest to p in -5, -1\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-12)\/(-16)*2. Suppose -4*x + b = -3. Find p such that -1 - 14*p**x - 17\/2*p - 43\/2*p**2 = 0.\nAnswer: -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + 6 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576336220 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 14*u + 5*u + (-u - u + 4*u)*(0 + 3 - 2) + 0*u - 2*u - u + 4 - 4 + 3*u - 5*u + 5*u - u.\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14.7. Let c = y - 0.8. Let z = 0 - -0.1. What is the second biggest value in -3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and -5\/1034432.\nAnswer: 1034432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 6*v + 4. Let h be j(0). Does 6 divide 94 + 6 - 8\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-206)\/(-6) + (-7)\/21. Suppose -3*n + 39 = -3*w, 0 = 3*w + 3*n - 5*n + t. Let b = 11 + w. Solve -9 = 2*m - 3*s, 0*m + s = 2*m + b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1042*f**3 - 4*f + 4. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65689 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 34 + (27 - 59).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/((88\/(-8))\/(-11)))\/(-9)*6*-3.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = 0. Suppose t = s - a - 4, 7 = 2*s + 2*a - 13. Find the second derivative of -s*i**2 + 20*i**2 + 18*i + 3*i + 9*i**2 wrt i.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = 62*j - 86*j. Let w(l) = 4*l + 5. Let c(o) = -o - 1. Let k(y) = 6*c(y) + w(y). Determine k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let y be (-4)\/6 + (-40)\/(-6). Suppose 2*v = 3*v + y. Let w(i) = 6*i + 17. Let a(f) = -2*f - 6. Let r(l) = v*w(l) - 17*a(l). Determine r(z(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(117)\/(sqrt(1296) - (sqrt(1296) - (sqrt(1296) + -3*sqrt(1296)))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(40*v + 138*v - 67*v).\nAnswer: -111*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28454 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: Find w such that w**5\/2 - 2*w**4 - 35*w**3\/2 + 59*w**2 + 160*w - 400 = 0.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*s**2 + 18*s**2 - 12*s**2)*(147 + 326 - 200)*(3*s + s - 6*s) as h*s**3 + n + d*s**2 + r*s and give h.\nAnswer: -21294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*z**2 + 69*z**2 + 0 + 0 + 2*z**5 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/15 and -157\/330869616.\nAnswer: 1654348080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2576.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3866, -7592, -11328, -15080, -18854, -22656?\nAnswer: -26492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bccdcddbcbbbdbd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 3*m. Let l(t) = -3*t + 1 + 2 - 2*t**m + 4*t**2 - 2. Let j(a) = -3*a**2 + 5*a - 2. Calculate -5*j(s) - 8*l(s).\nAnswer: -s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8880735.083 + -2256.\nAnswer: 8878479.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-9)\/96) - 3. Let c = 55 + -54.9. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -16, 6, 48, 116?\n\"Answer: t**3 + t**2 - 2*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 28*h**2 - 19*h + 13. Suppose -28*g = -23*g + 50. Let v be f(g). Put v, -5, 0 in descending order.\nAnswer: v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 4*q**2 + 2. Let p be (16\/(-14))\/((-30)\/105). Let d be n(p). Suppose -d*f + 24 = -62. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -27d5?\nAnswer: 27d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427603.360003 + 427636.36. Let g = -32.5425 + -0.4575. Let c = j + g. Round c to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8 - -13.8. Suppose 0 = 3*v + 5 - 23. Let o = 1 + 2. What is the biggest value in v, l, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35356 - 35356.000063098. What is d rounded to seven decimal places?\nAnswer: -0.0000631","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 g when four letters picked without replacement from vvvogvzgkvvg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262 and -5.21326098.\nAnswer: 256.78673902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = -2*y + 207. Let j = y + -294. Solve -j*x + x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in 0.4, -3, 2, 0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4807671*m**2 - 4271324*m wrt m.\nAnswer: 9615342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -52844 (base 12) to base 9\nAnswer: -174547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30330 + -30314. Let t = -19 + 35. Calculate the highest common factor of w and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36572 and 36599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8231536 and 7\/2120.\nAnswer: 41157680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -5*k + 1155. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 8249?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159377.\nAnswer: 47, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 + -7 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 12:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffftftt. What is prob of picking 1 f and 2 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -1 + sqrt(847) + (sqrt(847) - (1 + sqrt(847) - sqrt(847))) + -5) + -6*(2*sqrt(847) + -2) + 4)**2.\nAnswer: -33792*sqrt(7) + 491968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/10 - f**4\/6 - 2*f**3\/3 - 7*f**2\/2 - 23*f - 1. Let b(s) be the first derivative of j(s). What is the tens digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2. Let z = -10 + 1. Let y(n) = -n**2 - 8*n + 13. Let w be y(z). Let o(h) = 0*h + w*h + 0*h + 0*h. Determine a(o(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 194, -4, -0.04, -6, 1.3.\nAnswer: -6, -4, -0.3, -0.04, 1.3, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((0 + -1)*(-5 - -6)). Let c = r - -44. What is the remainder when 18 is divided by 66\/(-4)*(-4 - c\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97656 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 6. Suppose 5*m - 3 = -3*u - 12, 3*m = c*u + 15. What is the closest to -2\/3 in 1\/11, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2. Let v(d) = -5*d. Let l(m) = -6*m. Let f(j) = -4*l(j) + 5*v(j). What is k(f(u))?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/17930052 and 83\/63.\nAnswer: 17930052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, 97, 240, 511, 952, 1605, 2512, 3715?\n\"Answer: 7*c**3 + c**2 + 5*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(-3*(sqrt(192)*-1 + 1 - (sqrt(192) + -1 + 3)))**2*3.\nAnswer: -83052 - 3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*d**2*j**4 - 43*d**2*j + 410*d**2 wrt j?\nAnswer: 52*d**2*j**3 - 43*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/22 - (-18)\/99. Find the second derivative of -8*a + 6*a**3 - 10*a**3 - 2*a**t wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**3 - 27*j**2 + 35*j - 16. Let r(i) = 5*i**3 - 13*i**2 + 17*i - 7. Let o(w) = -5*r(w) + 2*t(w). Calculate o(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Let l = 11 - 3.5. Let u = -7 + l. What is the second smallest value in 0.4, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdfd when four letters picked without replacement from {f: 1, v: 1, d: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqllytqtq. Give prob of picking 1 t and 1 q.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 5*j + j**3 + 3*j + 4*j to q*j**3 + p + y*j**2 + o*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 10007 = -1673. List the prime factors of w.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 314*d*h**2 + 351*d*h - d + 2*h**2 - 17497*h + 4 wrt d.\nAnswer: 314*h**2 + 351*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 737482 (base 9) to base 7\nAnswer: 3504335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (5\/10 + (-9)\/(-6)). Suppose -4\/3 - x*h + 2\/3*h**3 + 0*h**2 = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163292817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -2, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -481\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-3)*84\/(-98). Solve -n - 2 = -p*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 3*g - 96. Calculate v(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64770966*j**3 + 3*j**2 - 8*j + 1094403 wrt j?\nAnswer: 388625796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 244. What is the derivative of 5*h**2 - s + 56 + 51 wrt h?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104\/11 - 1\/22. Let x(m) = -12*m. Let c be x(-1). What is the common denominator of q and c\/(-20) + 373\/80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((955890\/215)\/78)\/(-4*1\/((-8)\/3))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770613498?\nAnswer: 2, 113, 7834573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -852*j + 4717 + 351*j**2 + 359*j**2 - 1172*j - 706*j**2 + 1319.\nAnswer: 4*(j - 503)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 k when three letters picked without replacement from {h: 1, b: 1, u: 1, q: 2, g: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a - 29*a - 27 = -3*n, 3*n - 5*a = 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 6:00 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1270*q**3 - 3716*q?\nAnswer: -7620*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 34 + 43)*(3*h - 5*h + 0*h) - 2*h + 5*h - h + (2*h - 2*h + 2*h)*(-2 + 3 + 1) as b + r*h and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1194, 4738, 10646, 18918?\n\"Answer: 1182*t**2 - 2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/((-3)\/(-9)). Suppose -84 = -4*p + q. What is the remainder when 64 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 569, 1527, 2485?\n\"Answer: 958*m - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**10*g)*g\/g**(-20) assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*q**2 + 33*q**2 + 14*q**2 to the form r*q**2 + a*q + w and give r.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -8)*-8 + 134\/(-16). What is the fourth biggest value in -0.75, -3, f, -1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 4 (c) -0.3 (d) 6.817 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.41 and -11478.\nAnswer: -11460.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*u = 41392, -216*u = -221*u + 10. List the prime factors of b.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1045381976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (833*z + 17 - 414*z - 417*z)*(0 + 5 - 4).\nAnswer: 2*z + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3603 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052730, -1052737, -1052758, -1052799, -1052866, -1052965, -1053102?\nAnswer: -1053283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101012122 (base 3) in base 7?\nAnswer: -30461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.9. Let v = 0.1 + -0.09. Let t = -3.01 + v. Which is the nearest to i? (a) 0 (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3765396, 3765355, 3765316, 3765279, 3765244?\n\"Answer: o**2 - 44*o + 3765439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.92 less than -4.1824?\nAnswer: 37.7376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3177*w**4 - 1402*w**2 + 523182*w + 24?\nAnswer: -38124*w**2 - 2804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, h: 1, d: 3, x: 2, j: 9}. What is prob of picking 1 j and 1 k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*t = -17, -o - 3*t = o - 7. Let x be 2\/8*-2*0. Solve 0*a - 5*a + o = x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-41)*t**(2\/9) assuming t is positive.\nAnswer: t**(-367\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7422, -14870, -22362, -29910, -37526, -45222?\nAnswer: -53010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1073?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-4)\/m))*m*m**(1\/6)*m)\/((m**(-6\/13)\/m)\/(m*m**(-9))) assuming m is positive.\nAnswer: m**(-731\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 3186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56707 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18 - 913\/5229.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 556\/3475*1\/2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -22. Let i(j) = -j**3 - 7*j**2 - 3*j - 5. Let b be i(-7). Suppose -4*d = -q + b. Solve 3*x + d = -0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -32*m**3 + 18*m**2 - 33*m + 1. Determine j(2).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*m - i + 6, -4*m = -2*i - 6. Suppose 3*w = 4*t - 13, m*t - 3*w + 1 = 10. Solve 0 = n + 3*n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.857 + -0.093. Let k = y + -0.05. Suppose -2*o - 2 = -4. What is the closest to 1 in k, 2\/13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 262\/(-14) + (-28)\/98. Let b = h - -35. Solve -3*a = a - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9057 + 14097. Let u = x + -2867. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 7, 0, -4, -5 in decreasing order.\nAnswer: 16, 7, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 1. Let r be n(2). Suppose 2*j - r*l - 15 = 0, 3*j - 2*l - 24 - 11 = 0. Calculate the remainder when 39 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000110101000100011 (base 2) to base 14.\nAnswer: -200071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m + 50. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 75 + 519 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11569709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t - 1. Let k be a(-4). Let u = -72 - k. Which is smaller: u or -4\/75?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769, 1560, 2361, 3166, 3969, 4764, 5545?\nAnswer: 6306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalalaalalalllla. Give prob of picking 2 a.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.1838?\nAnswer: 0.03676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 0*y**2 - 5*y**2 + 2*y**2 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14389878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -1\/3, 5 in descending order.\nAnswer: 5, -1\/3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487 - 375. Let b be 7 + (6 - 0) + t. Calculate the greatest common factor of 15 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768 and 1581?\nAnswer: 404736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-12))\/((-50)\/(-660)). What is the second derivative of 11*c**2 + 20*c - 2*c**2 - 4*c**3 - w*c + 28*c - c**2 wrt c?\nAnswer: -24*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295062*t**3 - 456343*t**2 wrt t?\nAnswer: 1770372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 3*l**2 - 4 + 8*l**2 + 4 to the form i + d*l + x*l**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 1\/60*v**5 - 1\/2*v**2 - 1\/12*v**3 + v + 0 + 1\/48*v**4. Let s(n) be the first derivative of q(n). Find w such that s(w) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from rzrrrrrrrzrrzrzzrrr.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2512.33 - 2511. Let u = -268 - -266.77. Let s = u + q. Which is the closest to s? (a) -0.4 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + -1*(sqrt(100) + sqrt(100) + -1*sqrt(100) + sqrt(100)))\/(sqrt(4) - sqrt(100)*1))\/((-2*sqrt(405) - sqrt(405))*-6 + 2*sqrt(405)*-1).\nAnswer: sqrt(5)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -26) + 117 + (-5 - 17) + 1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.7. Let a = 7 - 3. Let c = -1\/9 - -4\/9. What is the smallest value in d, c, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 - 3*o**2)*(5*o - 6*o + 3*o) + (o**2 + o**2 - 3*o**2)*(-2 + 3*o + 2).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258, 516, 770, 1020, 1266, 1508?\n\"Answer: -2*h**2 + 264*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1067 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -7*o**5\/20 + 2*o**2 - 46*o. Let t(c) = 15*c**3 - 9. What is 4*t(f) + 9*z(f)?\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 39 + 3*z - 46.\nAnswer: 3*z - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 78*j**2 - 861*j - 86. Give v(48).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/119)\/(0 - (-2 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 19930*r + 139631. What is a(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 7*h**2 - 6*h + 2. Determine b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgu when three letters picked without replacement from {m: 1, u: 2, g: 1, b: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28590536?\nAnswer: 2, 13, 274909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 92471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26323 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 8. Calculate the remainder when 34 is divided by a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 647 + -421. What is the lowest common multiple of g and 2?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*3\/336*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 3*l - 5. Let p be z(5). Suppose 273 = 5*v + 43. Let k = v + p. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/1 + -12)*(-4)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4 + 8, -q - 4*a + 16 = 0. Suppose 0*x + 5*x - 60 = q. What is the lowest common multiple of x and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408220 (base 9) to base 8.\nAnswer: 731040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h = 27*h + 290 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(239\/9560)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((1 - -23 - (-4 - -25 - 28)) + 6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -327*d**2 + 9*d + 15. Let k(b) = -164*b**2 + 4*b + 6. Determine 5*k(h) - 2*r(h).\nAnswer: -166*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 7. Let c be m(-6). Suppose c*f - 35 = -5*w, -3*f + 30 = 2*f + 4*w. Factor 12 - p**f - 2*p**2 + 6*p - 4*p + 7*p.\nAnswer: -3*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 108\/12)\/(-1 - 29). Let z(n) be the second derivative of -1\/6*n**2 + 1\/42*n**7 - 5\/18*n**3 + 0 + i*n**5 + 7\/90*n**6 - 1\/6*n**4 + n. Factor z(c).\nAnswer: (c - 1)*(c + 1)**3*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-4 - -1) + (-209)\/(-44). What is the second smallest value in 7.9, g, -6\/11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21014235 (base 6) to base 7\nAnswer: 5113610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) + sqrt(147) + (sqrt(147) - (sqrt(147) - sqrt(147)*-1)))**2 - ((1 + sqrt(147))*-2)**2.\nAnswer: -1474 - 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -4)**2*-5 + 2 + sqrt(19) + (sqrt(304)*1)**2 + sqrt(2299) + (sqrt(2299) + 2)**2.\nAnswer: 96*sqrt(19) + 2434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9908 and 3.\nAnswer: -29724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26089.\nAnswer: 7, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**2 + 2*g - 6. What is s(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 292572051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (-298)\/(-14) + (-5)\/(140\/8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + 7*g**3 + 0*g**3 + (1946 + 531*g - 1946)*(0 - g**2 + 0).\nAnswer: -527*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1770, 3564, 5358, 7152, 8946?\nAnswer: 10740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s + 1. Let l be q(4). Let y(x) = -2. Let r(n) = n - 3. Let f(a) = l*y(a) + 2*r(a). Let g(t) = 7*t. What is f(g(d))?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 4, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 + s + 1. Let j(a) = 3*a**4 + 18*a**3 + 15*a**2 + 3*a + 3. Let n(i) = -j(i) + 3*y(i). Find p such that n(p) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16*p - 6624 = -13*p, 2*u - 5*p - 2642 = 0. What is the nearest to 1 in 1, 2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001100000011000101 (base 2) in base 11?\nAnswer: -361a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -252bb (base 15) to base 2\nAnswer: -11100111111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = h - 150. Let n = h - 191. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + 8574. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 68*x - 1911 = -12651 - 1762 for x.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*z + 9029 = -23266 + 5131 - 6428 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517197 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3959404 is divided by 1979702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*sqrt(76))\/sqrt(4) - -2*-4*sqrt(19))*-2 + 4.\nAnswer: 8 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32326 and 14.\nAnswer: 32326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.1117?\nAnswer: -0.0883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c + 2*c. Let v = c + -10. Let r be v\/(1\/75*3\/54800). Round r to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 56.94, 0, -8, 1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 16. Let f be r(11). Suppose f*b - 43 = l, -2*b - 4*l + 13 + 13 = 0. What are the prime factors of (-69)\/(-2)*6\/b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/4, -2\/19, -0.03, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52521 is divided by 183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.43406 grams to nanograms.\nAnswer: 44434060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to -2504140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*f - 89*f + 8*f - 9 + 9.\nAnswer: -166*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3 = -8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 197, 262, 327, 392, 457?\n\"Answer: 65*w + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 11*a**2 + 35*a - 44. Let s be v(13). Let l(f) = -40*f + 1 - 1 + s*f. Let i(t) be the third derivative of t**4\/24 + 3*t**2. Determine l(i(c)).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291783 or 291781?\nAnswer: 291783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 199, 616, 1253, 2110, 3187, 4484, 6001?\n\"Answer: 110*c**2 + 87*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 116 in decreasing order.\nAnswer: 116, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 37 = 5*z. Let u(r) be the first derivative of -9\/7*r**z + 4\/7*r - 5\/14*r**4 - 5 + 8\/7*r**3. Solve u(m) = 0 for m.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*i = -26, 2*r = -3*i + 5*i + 24. Which is the second biggest value? (a) -4 (b) 2 (c) -1\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -4402\nAnswer: -8804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.13481 centuries to months.\nAnswer: 50561.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223103299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cezesdu. What is prob of sequence cudz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(304) - (sqrt(304) - (2 + sqrt(304)*1 - sqrt(304)))**2) + sqrt(304))*-3 - (sqrt(38)\/(-4*sqrt(6)\/sqrt(3)) + -5)) + 3.\nAnswer: -287*sqrt(19)\/4 + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35071 + 35313. Solve 249*d = x*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 7, -4, 9, -40 in descending order.\nAnswer: 9, 7, 3, 2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 49810970+5\nAnswer: 49810975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*s - 24005 + 20045 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 2*w - 338.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s + 28. Let o(h) = 6*h**2 + 4 - 7*h + 1 + h**3 + 3. What is the least common multiple of o(s) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -10. Let a = n - 12. What is the second smallest value in a, 2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69, 281, 635, 1131, 1769, 2549?\n\"Answer: 71*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c - 54. Calculate the smallest common multiple of 48 and r(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/87, -4\/3, -0.2, 1102, 0.03?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isnwsywd. What is prob of sequence sys?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-150 - -6). Suppose 0 = -5*g - r - 25, 3*g - r + 15 = 2*r. Let d = 13 + g. Calculate the highest common divisor of d and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 6. Suppose 0 = 5*y + 2*p - 481, 5*y - 3*p - 2*p - 460 = 0. Suppose y*z = 102*z - 21. Solve 0 = f*o - 3*o - 3*w + z, 0 = 2*w - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -1764. Does 53 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15062*d - 437075. What is s(29)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172294, 172293, 172292, 172291?\n\"Answer: -s + 172295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5927201, -11854412, -17781623?\n\"Answer: -5927211*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 825669, 1651341, 2477017, 3302697?\n\"Answer: 2*f**2 + 825666*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -323 (c) -0.4 (d) -5 (e) 3 (f) 4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-17)\/u)**(-38)\/(u**36)**(-1\/22) assuming u is positive.\nAnswer: u**(7542\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*g - 3*i - 321, 4*g + 3*i = 428. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-16 - -19)) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(2275\/130)*-5*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 568*f**2 + 20*f - 21. Let l be h(1). Suppose 263*n - 264*n = -l. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/108 - (-90)\/81)\/((9\/(-2))\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d. Let j(m) = 11*m**2. Give j(t(y)).\nAnswer: 1859*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5085 - -362663.\nAnswer: 357578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19389774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12.98 times -0.2069\nAnswer: -2.685562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866489, 1732981, 2599475, 3465971, 4332469, 5198969?\nAnswer: 6065471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-15)*100\/15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccwcwwci. What is prob of picking 1 w and 3 c?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 69*a. Let w(p) = 33*p. Give v(w(q)).\nAnswer: 1089*q**2 + 2277*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 442 = -5*f, 2*j = -f + 740 + 199. Which is smaller: 466 or j?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 - 1558352*v\/7 - 7791860\/7.\nAnswer: 4*(v - 389593)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqa when three letters picked without replacement from {i: 1, q: 1, f: 3, j: 2, a: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 49*q - 45*q. Solve -6*p + p = 4*u + 5, 30 = 2*u - q*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 - 333*f + 321. What is k(36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -38\/413?\nAnswer: -38\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1566 divided by -3.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnk when three letters picked without replacement from {k: 3, n: 7, l: 5, h: 4}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and -47\/8086?\nAnswer: 72774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 3*t - 2. Let g be v(-2). Let c = -15 + g. Suppose c*j - 4*j - 175 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -29, -32, -35, -38?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -3 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 113*v**2 + 33*v + 185. List the prime factors of i(-58).\nAnswer: 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) 10\/201 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - q**2 + 9*q + 8. Let l(u) = -u**3 + 2*u**2 - 8*u - 7. Let b(v) = -3*l(v) - 2*t(v). What is b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 17*s + 4. Let a be i(-17). Let q be 0 - (6 + -6)\/(3 - 2). Suppose q = 3*w - 4*d - 34, a*d + 13 = -3. Solve 5*z - 3*z = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t. Let i be t + (-2)\/((-2)\/(-3)). Is 9 a factor of i\/(-1) + -1 - -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 43 + 33 = 0. Let l = 332 + p. Is l a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*b = 9*g - 18, -7 = g + 5*b. Suppose g*y - 352 = -103. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21781 - -125?\nAnswer: 218a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -2.159787, 31\/4 in descending order.\nAnswer: 31\/4, -4\/7, -2.159787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 43.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = 4*z + 17378, -2*u = 5*z - 17369. What is the highest common divisor of 119 and u?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-65)\/(-2)). Let x = 277\/390 + i. Let m = -29\/70 + x. Which is the closest to m? (a) 1\/2 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 21*z**5 - 699*z**4 + 198*z**3 = 0.\nAnswer: 0, 2\/7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose 20 = 2*c + w*c. Determine f, given that f + 4*f - c*f + f - 2*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 599172431*z + 904098617?\nAnswer: 599172431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/6, -0.1, -10 in decreasing order.\nAnswer: 4, 1\/6, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, 0.09, 4118, -1\/3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - (-5)\/(-2 - 3). Suppose -5*v - 12 = -3*m, 5*v - 2*m = 3*v - h. Suppose v*r - 123 = -r + w, 0 = 4*r - 2*w - 498. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3811 and 15347.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-6)\/(-4))*-4. Suppose 4*k - 2*t + 22 = 5*k, -3*t = -k + 27. Let z = k + -17. Are z and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2664480 and 12880?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -f. Suppose -f*a - 116 = a. Is (-6)\/9 - a\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -6*u + i - 8, 0 = 5*u - 4*i + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619.9949kg to nanograms.\nAnswer: 619994900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381\/7 + 42\/(-98) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7672451\/66 - -116247. What is the common denominator of u and -8\/7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1813 + -9068\/5. Which is the second biggest value? (a) -130 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29525 divided by 26356.\nAnswer: -29525\/26356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 - 1221 = -5*b. Suppose -r - 143 = -b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 9. Let c = -13.9907 - j. Round c to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(2 + z - 2) + 0*z + 2*z - 4*z)*(-13*z - 2*z - 16*z).\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o - 15, 4*o + 1 - 10 = g. Let b be 4\/2 - -2 - o. Solve -13 = 3*q + b*u, q = -3*q - u - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1934484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*q + q - 2*n, -3*n - 5 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68010684 divided by 42?\nAnswer: -1619302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -227\/21780?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 3. Let m be v(3). Suppose 3*y = -5*h + m, -y - 3 = -h - 0*y. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/7 + 78*q**4\/7 - 622*q**3\/7 - 34*q**2 + 1680*q - 1568 = 0.\nAnswer: -4, 1, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -4, -39, -108, -223, -396, -639, -964?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}