diff --git "a/data/dm_maths/full_data_2/11089_11255.jsonl" "b/data/dm_maths/full_data_2/11089_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11089_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 0 = -103*f + 104*f - 4*q - 12, 0 = -2*f + q - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -6*r**5 + r**4\/2 + 13*r**3\/2 - r**2\/2 - r\/2 = 0.\nAnswer: -1, -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:59 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 + 2 = 0. Suppose 0 = t*z - 0*z. Solve z = 4*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63934, -1\/8, -3\/4, -1\/3 in decreasing order.\nAnswer: -1\/8, -1\/3, -3\/4, -63934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + sqrt(1300))*-2.\nAnswer: -22*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/7 + 9746*t**2\/7 + 107486*t - 108878 = 0. Calculate t.\nAnswer: -77, 1, 4949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 4, a: 1}. What is prob of sequence xxx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*x + 13, 3*x = -3*v + 3 + 12. Suppose -z + v = -1. Suppose 5*l - 2*j = 14, 0*j = z*j - 6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83436*r - 9*r**2 + 83301*r - 3*r**3 + 45*r**2 + 150.\nAnswer: -3*(r - 5)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05652 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.707 millennia to months.\nAnswer: 1712484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-24)\/(-9))\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -19. Let v(i) = -i + 1. Let z(g) be the second derivative of 5*g**3\/6 - 3*g**2 - 2*g. What is r*v(u) - z(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0373914251 rounded to 5 dps?\nAnswer: 0.03739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729619101 to the nearest integer?\nAnswer: 41589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 148097.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.03. Let y = 49.77 - 50. Let u = v - y. What is the second biggest value in 2\/7, u, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + r + 2 = 0, 2*x = 4*r + 4 - 2. What is the tens digit of (x - -15)\/(((-16)\/(-22))\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3*(-315)\/(-21). Let r = -0.3 - -1.3. What is the nearest to r in 2\/15, 0.1, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1037 + -1091. Which is the second biggest value? (a) 2\/5 (b) -1\/2 (c) 1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((1 + (sqrt(1088) - (sqrt(1088)*3 - sqrt(1088))*1))*-5)**2*-5.\nAnswer: -12000*sqrt(17) + 816750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - s - 2)*(-s + s - 2*s) - 2*s**2 + 5*s**2 - 2*s**2)*(-25 + 25 - 70*s).\nAnswer: -210*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (5 - 0))\/(0 - 2). Let w = 1 - -13. What is the remainder when v\/(-6)*-2*(55 - 1) is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/6 - h**4 + 2*h**3\/3 + 9*h**2 + 15*h\/2 = 0. Calculate h.\nAnswer: -5, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 0*v - 7*v + 1 - 4 + 4 + 2*v + v + 0 + 0 + (-1 + 6 - 4)*(6*v - 2*v - 2*v) - 1 + v + 1.\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*x + 20, q + 522 - 510 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 156. Suppose -2*r = 4*t - 4, 4*t + p - 41 = -3*r. Solve -6*b - 2 + 2 = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18384 by 6.\nAnswer: 3064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 2258*s - 2258*s + 0 + 2735*s**2 + 1406*s**5 wrt s?\nAnswer: 84360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g*g\/(g**(-1)*g*g)*g*g)\/g)*g)\/g**(-1\/6)*(g*g\/(g\/(g\/((g*g**(-3\/11)\/g)\/g)))*g*g)\/(g**(-2)\/g) assuming g is positive.\nAnswer: g**(623\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 8*i**2 + 16*i**2 + 2*i**3 - 19*i**2 to the form g*i**3 + z*i**2 + h*i + m and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (11 + 4)) + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 + 89 = 8*c + 4*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 8010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6342 and 5788132?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u**2 + 149*u - 11. What is m(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a37 - -27120?\nAnswer: 26194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, b: 1, f: 5, p: 1}. Give prob of sequence bx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 - 3*r**2)*(2*r - 4*r + r)*(26*r - 4*r + 22*r)*(-4*r + 3*r + 3*r).\nAnswer: 176*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*x**2 - 532*x**2 + 283*x**2 - 3*x**3 + 9*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (sqrt(2057) + -5 + 2*sqrt(2057) + sqrt(2057)).\nAnswer: -33*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639.929 milligrams in grams?\nAnswer: 1.639929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let u(q) = -17*q - 1087 + 1087. Give u(y(v)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4300)\/(-344))\/(4*2\/(-16)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/(-16) - (402\/(-138) - (-2)\/(-23)). Suppose -1\/8*f**2 + 0 + n*f = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*l + 54 + 29 - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/(400\/80)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m + 70. Let f be q(0). Suppose y + 2*x - f = 4*x, 5*x = 0. Suppose 0*c - 4*n = -3*c + y, 65 = 3*c + n. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 46. Suppose 9*a = 18*a - 144. Let q be c(a). Let s = -92 - -152. Calculate the highest common factor of s and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 116*q**2 - 1.\nAnswer: -116*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -213 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 3*t**2 - 3*t**2 - t - 1 + (t**3 + t**3 - 4*t**3)*(10 - 31 - 33) to n + w*t**2 + j*t + z*t**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14190 and 458474170.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304003 = -4*d + t - 0*t, 0 = 2*t + 6. Round d to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10151 - 246?\nAnswer: -10430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -31310.9461 to the nearest one hundred.\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10 = -3*i - 35, 2*i = -2*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 + -39)*1\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5847*r**3 + 7*r - 14. Let l(x) = -40930*x**3 - 50*x + 100. What is -50*f(n) - 7*l(n)?\nAnswer: -5840*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 1. Let w be u(1). Suppose 2*b = -4*y + b + 8, 3*y - b - w = 0. Let z(t) = -t + 8. Let k be z(10). Put 6, k, y in decreasing order.\nAnswer: 6, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137901 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81\/4 of a decade?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from pepepeeeeeeeee.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) 2\/43 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -r - 40, 4*q = -3*r + 2 + 30. Suppose -3*g - 62 + 4 = w, 4*w - q = 0. Round g to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11293*j**3 - 6527 wrt j?\nAnswer: 33879*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*v**3 + b*v - 6*b + 13*v**3 + 69 wrt v?\nAnswer: 6*b*v**2 + b + 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002091382803 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 - 3344 - 424 - 96*s - 2037 + 446*s = 0. Calculate s.\nAnswer: 27, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*z + h, 4*h = 2*z + 2*z. Suppose z = 3*i - i. Suppose i*w + w = 0. Solve -k + g - 5 = w, -k + 2*g = 3*g + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77253 and -5.\nAnswer: -77258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1433 + -20?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9315\/1890 + 156\/(-28).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = x - 2488 + 70, 0 = 4*a - 5*x - 3224. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110542298, 221084596, 331626894, 442169192?\n\"Answer: 110542298*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -319, -494, -645, -772, -875, -954?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.07 - 1.3.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12069?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516206 is divided by 474.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17295 - 10266. Does 99 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3\/4*h**3 - 3\/4*h - 3\/2*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 16 = 3*p + 2*n, -5*p + 24 = -4*n. Let c = 7 - p. Let o = 1 + c. Solve -3*m + o = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4233 take away -0.135444164?\nAnswer: -4232.864555836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9374613*m**5*w**3 + 4*m**3*w**3 - 108*m**2 + 483*m*w**3 - 92*w**3 wrt m.\nAnswer: -562476780*m**2*w**3 + 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3781062199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/36 and 9\/22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, o: 16}. What is prob of sequence wo?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -7, 2 in descending order.\nAnswer: 5, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-8))\/((-12)\/(-240)). Let q = -13 - u. Let f be 4 + (-1 + 1 - 2). Solve f + 0 = q*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 256349300 to the nearest one hundred thousand.\nAnswer: 256300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m. Let o(w) = 5*w**2 + 2*w + 2. Determine -4*g(b) - o(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.075 + -5.075. Let z = 37 - 37. Sort z, 0.4, j, 0.2 in descending order.\nAnswer: 0.4, 0.2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (5 + 3*sqrt(117) - (sqrt(117) + sqrt(117) + -1 + sqrt(117) - sqrt(117))*-2)**2 + 4 + 4)*-1.\nAnswer: 756*sqrt(13) + 34512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-9)*j))**(-1\/22))**(1\/41) assuming j is positive.\nAnswer: j**(-9\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a + 140. Let o be r(-10). Solve -2*n + n - 2 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766710139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 34*y - 35. Let f be u(18). Is f greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2. Suppose 137*s = 147*s. Let n(d) be the second derivative of 0*d**2 - 12*d + 1\/4*d**4 + s*d**3 + 0. Calculate x(n(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2613735068 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 3*k = 9, 9 = -5*p - 3*k. Suppose 2*x - x - 51 = p. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7237?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/37 + -68\/111. Let l = 10 + -6.85. Let y = l + -3.05. Which is the second smallest value? (a) y (b) j (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8))\/((125\/40)\/25). Suppose -g*y + y + 898 = 2*c, 0 = -2*y - c + 1784. What are the prime factors of y?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3741754\/763 + -4904. Let h = 26713\/3052 - r. Find the common denominator of h and 91\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5615, -11196, -16777, -22358, -27939?\n\"Answer: -5581*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 2 - 2*t**3 - t**2 - 2*t**2 + 3*t**2 - 2*t**4 to c*t + z*t**4 + i*t**2 + h*t**3 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*j - 4 = 0, 24 = -2*o + 4*o - 5*j. Solve -l = o*z + 12, 0 = 5*z - 3*l + 2 + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-3*l**4 + l**4 + 5*l**4) + 2 - 2 + l**4 + (-4 + 1 + 4)*(-5*l**4 + 4*l**4 + 2*l**4))*(1080 - 1005 + 259 + 1328).\nAnswer: -6648*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 76.09. What is the second biggest value in 3, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*i + 5*i - 6, -5*i - 5*y = -10. Solve -14 = -4*a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u + 5*s, -55*s = 3*u - 60*s + 3. Solve 0 = u*p - 476 + 484 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 > -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*b - 24539 = 220*b + 236 + 35231 for b.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 + (-100)\/6. Let g = a + 40. Let x = 138 + g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 15*w + 21. Let v be x(-14). Let b = v + -2. Solve 1 = 4*n - n - m, n = b*m - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. What is the second derivative of 8*a**2 + 0*a - 2*a**2 - b*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 3. Let s be m(5). Let a be s\/(-1 + -1)*1. Is 6\/5 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egpxxdpregggxed. Give prob of sequence xgd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Suppose x = -2*m + 16 + 16. What is the least common multiple of m and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by 3.\nAnswer: -245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5532212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 14*k - 789 + 857, -b - 4*k = 22 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1862, 3767, 5674, 7583?\n\"Answer: k**2 + 1902*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111010 - -1?\nAnswer: 22111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.05, 3\/2, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1 (b) -1.5 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 + -181. Suppose 34*x + t = 38*x. Solve x = -m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:34 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46781, 93613, 140455, 187313, 234193, 281101, 328043?\nAnswer: 375025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:43 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12*d + 420 = 0. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((0\/(-6))\/1)\/1)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -5 (b) -1 (c) 8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -27. Factor 30*m + 34*m + 0*m**2 - 44*m + 4*m**p.\nAnswer: 4*m*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/4, 8\/9, -402?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5 - 49. Find the common denominator of (0 - (-194)\/15)*11\/h and -47\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75950 + 76076. Let o(q) = -14*q**3 - q**2. What is the remainder when d is divided by o(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*n**3 + 17936*n**2 - 8974*n + 1122.\nAnswer: 2*(n + 561)*(4*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/h**(-1\/4)*h*h*h))*h\/h**(-7)*(h**(2\/7)*h)**19)\/(h**(-1\/4)\/h*h**(6\/7)*h**(-3)*h*h*h\/(h\/h**(-2\/19))*h*h) assuming h is positive.\nAnswer: h**(9889\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48686 and 15491.\nAnswer: 340802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1 = -57. Is 2\/8 + (-7670)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-16) + 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3, -4\/347, -1\/5?\nAnswer: -4\/347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99768849*q**2 - 13612767 wrt q.\nAnswer: 199537698*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (407\/(-74))\/((-45)\/90).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -27*n + 10. Let a be o(2). Let k = 46 + a. Solve 0 + 4\/5*i - 18\/5*i**3 + 14\/5*i**k = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3 - 591*o**2 + 11514*o - 20640 = 0.\nAnswer: -215, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -5\/2, 0.93?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113400210 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 + (-4)\/(-8). Solve z*p - 6*p = 5*j + 10, -3*p = -4*j + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.9865241 rounded to 2 dps?\nAnswer: 50.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*r + 9, 0*b = -4*b + 4*r + 36. Let j be 12\/b*(-3)\/(-2). What is the units digit of j\/(-4) + 875\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348627241.\nAnswer: 29, 12021629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 3*j)*(-3*j - 3 + 3) + (5 - 4 + 15)*(1 - 1 + j)*(j - 3*j + j).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 0.2 (c) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 12)*(-32026 + 32026 + 213*x)*(-x**3 - 2*x + 2*x) to the form p*x + u*x**2 + l*x**3 + b*x**4 + z and give b.\nAnswer: -2769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -96b805 (base 13) to base 7\nAnswer: -42035256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*27)\/((-253)\/(-253))*4\/(8\/6)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 291*w - 1253*w + 280*w.\nAnswer: -668*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 + 2*i**2 + 3*i + 15. Let t be m(0). Put t, -0.1, 39, 0 in ascending order.\nAnswer: -0.1, 0, t, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 4*q**2 - 23*q**3 + 9*q**2 - 1 + 24*q**3. What is the smallest common multiple of 4 and j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 62, 41, 2, -61, -154, -283?\n\"Answer: -s**3 - 2*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkdkumdddkukkkmkmke. What is prob of picking 1 u and 1 d?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 4. Calculate the smallest common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 7*t - 3*t - 3*t. Let g be x(-8). Let o be 5\/(-20) - (-38)\/(-8). What is the nearest to 0 in o, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.5 - -0.0894657441683.\nAnswer: 31.5894657441683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12750 - -12775. Calculate the remainder when 1676 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012291 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3 + (-4)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864838 take away -4?\nAnswer: -864834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -13 - ((2 - -3 - 0) + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 16.\nAnswer: -3, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 16) to base 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138354718 greater than 138354716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 9*v. Let d(k) be the third derivative of 1\/12*k**3 + 1\/48*k**4 - 3*k**2 + v*k + 1\/210*k**7 + 0 - 1\/40*k**5 - 1\/240*k**6. Factor d(a).\nAnswer: (a - 1)**2*(a + 1)*(2*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759520 divided by 879760?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.06 (c) -3 (d) -3\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 70 = 86. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t - 2. Let i be s(4). Let c(p) = -2*p**3 - 3*p**2 - p - 2. Let w be c(i). Solve 3*u = w*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 149539 = 23901. List the prime factors of d.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1032*m + 20*m - 634*m - 158*m to the form h + b*m and give b.\nAnswer: -1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + 388\/14. Let d = 68 + -59. Let n = o + d. Find the common denominator of n and 10\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22890 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 935?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j + 51*j + 45*j - 190*j + 50*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 - m**2 - m**2)*(-5*m + 10 + m - 8)*(11 - 2 + 5) to the form p*m**3 + g + v*m**2 + b*m and give p.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -8. Is -25 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 44\/(-462) - (-2482)\/42?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 12 + 244*h**2 + h - 8 - 16 as o + s*h + b*h**2 and give b.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:11 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1.5, -1, -0.9197 in decreasing order.\nAnswer: 1.5, 0, -0.9197, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - -3.7. Suppose 0*t + 5*t = 10. Let k = 86 - 944\/11. What is the smallest value in b, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34\/115 or -0.1?\nAnswer: 34\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51610 + 30006?\nAnswer: 111616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)\/q)\/q**0*q*(q\/q**12)\/q*(q\/q**8*q)\/q)**(-1\/59) assuming q is positive.\nAnswer: q**(131\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:41 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -890 or -905?\nAnswer: -890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -103\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/13, 39.1, -5, -4, 44, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9553009 decades?\nAnswer: 0.09553009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01705 + 0.309217.\nAnswer: 0.292167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/446607 and 73\/51?\nAnswer: 446607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -19. Let d be (-8)\/(-36) + 43\/9. Sort d, 1, z in descending order.\nAnswer: d, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698188595 to the power of 1\/2, to the nearest integer?\nAnswer: 41209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1387, 5609, 12635, 22459, 35075, 50477, 68659, 89615?\n\"Answer: -r**3 + 1408*r**2 + 5*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -872 * -2\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 256\/(-1326) - 28\/(-182). Let d = 139\/357 - y. Let q = 2.5 - 2. What is the second smallest value in q, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = -4866*u + 4884*u - 4*a, -15 = -3*u - 3*a for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y. Let g(v) = -3*v + 10. What is g(k(q))?\nAnswer: 9*q + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062476 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from aoaaqnnaaqoqaagma.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2916) + sqrt(2916) + sqrt(2916)*-1*6 + sqrt(2916) - (sqrt(2916)*1*2 + sqrt(2916)))\/((sqrt(96) + 2*sqrt(96))\/(1*sqrt(32))))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = z - 474, -4*z + 91 = -0*n + n. Calculate the greatest common divisor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5040 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 + 5*k - 3. Let r be s(-3). Let h be 4\/6 + (-27018)\/r. Let m = -301 + h. Which is the second biggest value? (a) m (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - -0.08. Let y = -0.99 - 0.01. Which is the closest to -1? (a) 4 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236580 + 133080. What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2274632 micrometers?\nAnswer: 0.0002274632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8 + (-66)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 434, -255, -138 in ascending order.\nAnswer: -255, -138, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 15 = -24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 33 = -4*j. Suppose 76*i - 77*i - p = 10, 0 = 3*i + 4*p + 38. Put j, 5, i in decreasing order.\nAnswer: 5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d + 326. Let c be s(46). Let v(g) be the second derivative of 0*g**2 - 2\/15*g**5 - g + 0 - 2\/9*g**3 - 5\/18*g**c - 1\/45*g**6. Factor v(p).\nAnswer: -2*p*(p + 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.594 - 3.17. Round v to two decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 353416190, 353416189, 353416188, 353416187, 353416186, 353416185?\n\"Answer: -j + 353416191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 217.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 divided by 33?\nAnswer: 188\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 12*k + 8. Let t(o) = o**2 - o. Let m(i) = f(i) + 3*t(i). Suppose -5*b = -2*b + 12. Let c = -3 + b. Determine m(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iks when three letters picked without replacement from lillkilliilsk.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-42) + 136\/14. Suppose 4*a - 7 - 43 = -3*h, -50 = -4*h - 2*a. Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 + t**3\/6 + t**2. Let a be (1 - 10\/12)*30 + -1. Let b(o) = 2*o - 1. What is a*f(z) + 3*b(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 + 210\/450\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 28. Let d(k) = 10*k - 58. Let l(t) = -4*d(t) - 9*m(t). Determine l(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 16*n**2 - 2757*n + 2744. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.276519 to 2 decimal places.\nAnswer: 170.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1945, -4, 12\/109 in increasing order.\nAnswer: -4, 12\/109, 1, 1945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -0.04. Let v = l - 0.31. What is the third biggest value in 0.1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59a (base 12) in base 4?\nAnswer: -31012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/(-6))\/(6\/117). Let c = -90 - u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymyy. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (13 + -39 - -19) + 18\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - (4 - 5)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*q = -h - 126, 2*q = -3*h + 114. What is the smallest common multiple of h and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-90) + (-50200006)\/10. Round h to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 741.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, h: 2, e: 1, i: 1, a: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10005 = -0*g + 3*g. Suppose 4*n = 2849 + g. Is n\/14 + (-8)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 37 + 14 = 3*v, 2*v = 5*z + 70. Suppose 0 = -w - 1 - 0. Sort w, z, -5 in decreasing order.\nAnswer: w, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*i + l, -3*i = 15*l - 17*l - 40. Solve 3*x - i = -j, 4 = 2*x + j - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.7. Let p = -1.167 + 1.27. Let h = -0.003 + p. Which is the second biggest value? (a) h (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 + 600*n**2 - 2540*n - 7440 = 0 for n.\nAnswer: -124, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let t = -258.4 + 258. Sort -3, x, 0, t in descending order.\nAnswer: 0, x, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 56*w + 30. Let o be c(-21). Suppose -3*y + 3*d = -582, 3*d + 118 = -y + o. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 - 6*u + 10. Suppose 0 = -18*w - 394 + 466. Calculate the smallest common multiple of w and v(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v + 2. Let u be l(-3). Let s(x) = -5*x + 6. List the prime factors of s(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkww when four letters picked without replacement from jwjjkjkxjjwxzkjjwwjk?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:16 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1089) + (sqrt(1089) + 1*sqrt(1089))*5))\/((sqrt(18) - ((sqrt(2592)*-2 - sqrt(2592)) + sqrt(2592) - sqrt(2592)))\/(-1*sqrt(216))).\nAnswer: -3630*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 116*h**3 - h**2 + 8*h + 6. Calculate d(-1).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + o**2)*(4 + 2 - 3)*(-1 + 1 + 2)*(67 + 62 - 34)*(-2*o + 3*o + 0*o + (0 + 3 - 1)*(-2*o + 3*o + o)).\nAnswer: -5700*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/251 or -1?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 26 = -8*z. Calculate the highest common factor of z and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c\/c**(-1)*c))\/((c\/c**5)\/(c**(4\/5)\/c))*(c**(-4\/3)\/c*c**(-1\/4))**(2\/31) assuming c is positive.\nAnswer: c**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*b + 78, -5*h = -3*b - 61 + 161. Let w = h - -17. Suppose w = -2*p + 16 - 6. Solve 4 + 6 = p*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 19*q - 10*q - 2*t = -56*q + 6, 2*t = -3*t - 65 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t - 177 = -1023 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2746104 is divided by 2114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h, 3*u - 4*h + 8 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 15 - (2 - (3 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/25))**(-8)*((g\/(g*g**(1\/3)))\/g)\/g**(-4\/33) assuming g is positive.\nAnswer: g**(-8392\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(160\/103972) - 1. Let v = m - -3286\/5. What is the common denominator of 67\/14 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4\/(t*t*t*t**(14\/3))*t\/t**(3\/10)*(t**(-13)*t)\/t*t assuming t is positive.\nAnswer: t**(-449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3330 - 401?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 929.3455m?\nAnswer: 929345500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 9) in base 5?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.539 rounded to one dp?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjjlljllilldtldlljt. Give prob of sequence tdj.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41166 and 34.\nAnswer: 699822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272621737 + -2?\nAnswer: -272621741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p + 19. What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -678406 or -678403?\nAnswer: -678406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000614265234 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 3*h + 4*h)*(-228 - 201 + 25 + (-2 + 0 + 0)*(-1 - 3 + 3) + 2 - 4 + 0) in the form o + q*h and give q.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Suppose -5*n - 43 = -z*i, -14 - 8 = -4*i - 2*n. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = 3*c. Let f = c - -18. Solve 4*v + 5*o = 27, -f = -5*v - 0*v - 4*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 3*t**2 + 5*t - 5. Give n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1753826 + -24439174. Round r to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/3*((-6)\/8)\/3. Is b equal to 2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000188845 to six decimal places.\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/6*594\/54 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -57, -1, -208, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11957 - 6056. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = 4*o, -5*m + 22 = 4*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -517524 to the nearest one thousand.\nAnswer: -518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -28 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/21468 and 23\/40.\nAnswer: 214680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d + 4. Let y be a(5). Let j(t) = -t + 2. Let s(z) = 3*z + z + 1 - 2*z + 3*z - 13. Let b(n) = -6*j(n) - s(n). Determine b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*k - 992*k - 6587 = -452*k + 4434 for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014445 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 8*c + 1. Let o(d) = -21*d - 20. Let m be o(-4). Suppose -67*h + 27 = -m*h. Determine g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.05, 42\/11, -51, -9, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i + 99. Let x be z(-4). What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -3389076\nAnswer: 138952116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**6*n))\/n*n*n\/n**(-7\/5) assuming n is positive.\nAnswer: n**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-1288)\/(-2858)) + -2. Let y = -8631 - -198391\/23. Let s = y - a. Find the common denominator of s and 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.014 + -23.986. Let h = o + 27. Let s = h - 7. Which is the nearest to 0.2? (a) 2\/5 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 119*w**3 - 115*w**3 - 2*w**2)*(9 - 9 + 2*w**2 + (-3 + w + 3)*(5*w + 0*w - 4*w) + 4*w**2 + w**2 - 4*w**2).\nAnswer: 16*w**5 - 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1547? (a) 0 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3417 - -71732\/21. Calculate the common denominator of 88\/21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ssssnnnssssssn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -1, -1\/2, -8, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2214 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r + 164. Suppose -5*z = 5*h + 100, h = -z - 4*z - 92. Let w be q(z). Solve 2*i = p - 1, -w*p + 5*i - 4*i - 7 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 323, 485, 647?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 2252*t - 2236*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -1559, -2338, -3117?\nAnswer: -3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 - q - 6. Calculate x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h - 150. Let f be l(-12). Let x be 5627\/255 + 2\/f. Which is bigger: x or 15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -75, -110, -161, -228, -311?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 at least as big as 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3\/1)\/(21\/63). Solve x + d = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -2*i**7\/245 + i**6\/40 - i**5\/70 - i**4\/56 - 35*i**2. Determine w, given that h(w) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/9 + 2216702*b**3\/9 + 246300*b**2 = 0.\nAnswer: -1108350, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(y - 2 + 2) + 69*y - 9*y + 197 - 218.\nAnswer: 58*y - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1493 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*u + 150*u - 182954 = -282*u - 150163 for u.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -96. What is the highest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*c**4 - 4 + 0*c**4)*(-6 + 0 + 2 + (1 + 1 - 1)*(0 - 1 - 1)).\nAnswer: 30*c**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9377*761.\nAnswer: -713.5897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -30*n + 3864. Is 6 a factor of (-396)\/22*n\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 24*k**2 + 5*k - 21. Let i(l) = 3*l**3 - 36*l**2 + 8*l - 32. Let c(p) = 5*i(p) - 8*s(p). Determine c(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.027 - -38.973. Let k = -42.8 + y. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*f**4 - 81*f**2 wrt f?\nAnswer: 3312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/2 + 2091*g\/2 - 697718 = 0.\nAnswer: -2623, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-50)\/(-5))\/((-4)\/(-14)). Suppose 36*m = 31*m - 35*z - 40, 24 = 5*m + 3*z. Let s = 18 + -3. Solve m*y + p = 5*l + y, 3*y + s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.0113, -5, -39, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1083 or -36422\/3?\nAnswer: -36422\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 5) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/462 and -113\/462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-2 + -1 + 169 + -154 + -1 + 25)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -1780070482804.\nAnswer: -1780070482804.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/11, -1\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/25)\/((-204)\/(-3060))*10\/1. Let o(k) = 41*k**2 + k. Let s be o(1). What is the highest common divisor of s and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -138, -214, -290, -366, -442?\n\"Answer: -76*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3060 and 65280.\nAnswer: 195840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*y + 5453. Let a = 1110 + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by -6\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from fffiyfffffyi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)\/(r*r\/(r\/((r*r**0)\/r)))*((r*r\/(r**1\/r))\/r*r)**(19\/4))\/(((r\/(r\/r**4))\/(r\/(r\/((r\/(r*r**(-6)))\/r))))\/(r\/r**0*r**(2\/9)\/r)) assuming r is positive.\nAnswer: r**(193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2\/111 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 35*y**2 - 17*y + 46. What is the hundreds digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i)**(-38)*(i*(i\/(i*i**4))\/i)\/(i**(1\/8)*i)*((i\/i**(1\/3))\/i*i*i**6\/i)**(3\/20) assuming i is positive.\nAnswer: i**(-2451\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, u: 4}. What is prob of picking 4 v?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -g + 2*h - 5, -3*g - 3*h - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 2. Let h(i) be the second derivative of -i**5\/60 - 10*i**3\/3 - 10*i + 1. Let y(l) be the second derivative of h(l). Determine y(s(k)).\nAnswer: 4*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-3)*(-6 + 0). Suppose -t = -n*t + 40. Solve 4*q + 0*q = -4*m + 20, -3*q = -4*m - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123588.\nAnswer: 2, 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 3*k**2 + 6*k + 8. Let m = 5 - -3. What is the remainder when g(-2) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240217 divided by -90?\nAnswer: -240217\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/((-30)\/50). Let r(x) = 9*x + 59608*x**m - 2 + 354166*x**2 + 330669*x**2. Let v be r(6). What is v rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 25b?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ladoddloglzlllo. Give prob of picking 2 l and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, x: 4, m: 3, r: 1, k: 2, c: 2}. Give prob of picking 2 x and 1 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spgs when four letters picked without replacement from sssppssssspsssg.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -66724, 127, -3 in decreasing order.\nAnswer: 127, -3, -66724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -2423\/22. Suppose 4*t + 1825 = 2*i - 797, -t + i - 658 = 0. Let q = 652 + t. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - d + 0*d - d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 97783.324977\nAnswer: -97801.324977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 8*z**2 - 12*z - 1. Let x be m(6). Sort -2, x, -4, 1.\nAnswer: -4, -2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.198319 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + 2550?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**30*p**(-34) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65665\/30392 - -1062536773\/148161000. Let k = w + 2\/1625. Calculate the common denominator of k and 21\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(1 + sqrt(7) + -3 + 1) + 4)**2.\nAnswer: -64*sqrt(7) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4*t - 2*r**4 - 1014*r**3*t + r**3 + r**2*t - 2245*r**2 - 5*r wrt r?\nAnswer: -72*r*t - 48*r - 6084*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkk when three letters picked without replacement from {v: 2, k: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -52. Factor -16\/3*i**2 + d + 2*i**3 - 8\/3*i + 6*i**4.\nAnswer: 2*i*(i - 1)*(3*i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - 6*z - 3. Let j be p(-6). Let g(h) = 37*h + 2221. Let t be g(-60). What is the nearest to j in t, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 3*d - 61, -87*y - 1 = 2*d - 88*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 2120\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 15 - (-16 + 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 + 275 + 255 + 39*g - 53*g + 30*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350032, -700256, -1050480, -1400704, -1750928?\nAnswer: -2101152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - 56 - (9 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516 - -840. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 8*l**2 + 7*l. Let s(c) = 2*c**2 + 5*c**3 - c + 5*c**2 + 0*c**3 - 5*c. Let h(r) = -7*s(r) - 6*v(r). Factor h(p).\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -92 - (94 + -28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2497, -4992, -7485, -9976, -12465, -14952?\nAnswer: -17437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-6)\/9 + -2. Suppose a + 3*a - 64 = n. Suppose -g - 2 = -5*j, -3*g = 2*g + j - a. Solve 2*v + 3*i + 1 - 4 = 0, 5*v - g*i + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h + 28. Let b be v(-1). Solve b = -12*k + 63 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106343 and 928.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006408 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171*h - 51*h**2 + 101*h**2 - 54*h**2 - 592*h - 579*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:26 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 5 - 3*d**2 + 7*d + d. Let o = -102 - -107. Let z be s(o). Solve 5*f + 25 = -w + 3*w, 4*f - 5*w + z = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/2 - 3\/2. Let j = s - -4. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.1671?\nAnswer: -0.03342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59662*i + 19893*i + 19872*i + 19899*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 - 280*j**4 + 28395*j**3 + 1360170*j**2 - 19114380*j + 59988600 = 0. What is j?\nAnswer: -69, 6, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 21618171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162476 is divided by 4521.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(sqrt(2) + sqrt(8)\/sqrt(4) - sqrt(2)).\nAnswer: -5*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.6435 rounded to one decimal place?\nAnswer: 273.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (567\/(-6))\/9*(-43)\/(6622\/88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 6*sqrt(132)*2) + (sqrt(132) - -6*sqrt(132)*-5))\/((sqrt(96)*-4)\/sqrt(8) - sqrt(144)\/(sqrt(24)\/sqrt(2))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let m(d) = -835239*d. Determine m(j(f)).\nAnswer: 1670478*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a*a**(2\/5))))\/a)**(-1\/19))**(-19))**36 assuming a is positive.\nAnswer: a**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b. Let x be b - 2 - (-16 + 15). Let i(n) = 6*n**3 - 2*n**2 - 3*n - 1. Let s be i(x). Let l(a) = a**2 + 8*a + 7. Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 7) in base 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let o be q(-3). Let u = 1229 + -1231. Let a be -7*(-3 - u) - 6. Put o, 0, 3, a in decreasing order.\nAnswer: o, 3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143258, 138535, 133812?\nAnswer: 129089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (4 - (11 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3741959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 0, -c - 15006 = -5*d + 17024. List the prime factors of d.\nAnswer: 2, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 11. Suppose y - 6 = l. 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(t) = t. Let a(c) = -101855*c**2. What is a(v(g))?\nAnswer: -101855*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167136152 + -6?\nAnswer: 167136144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:51 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:42 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 5, j: 1, s: 1, f: 1}. What is prob of picking 3 e and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {t: 1, c: 2, q: 2, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b92 + 37?\nAnswer: -18b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4013441440 (base 5) to base 9\nAnswer: 15861103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6698.\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7266 - -1.71. Let z = m - 144.1834. Let i = 157 + z. What is i rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(3 - 1)\/1. Suppose -4*y = -4*w + w + 5, 4*y + 11 = 5*w. Sort 5, w, x in descending order.\nAnswer: 5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 - -250. Suppose 1 = 93*x - g*x. Solve x + 6 = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*m = -12 - 6, -5*m = 15. What is the lowest common multiple of 6 and (5\/(-3))\/((-1)\/u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 11}. Give prob of picking 3 p and 1 w.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i + 3. Let y be f(-2). Let b(n) = n + 9. Let w be b(y). Suppose -4*r - 10400000 = -w*r. What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:55 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -66. What are the prime factors of 32\/(-6)*(q + 3 + -10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 143 - 144 + 287.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose 1 = -s - 2*z, s + 4*s - 3*z - 21 = 0. Sort -1, s, 8, k in decreasing order.\nAnswer: 8, s, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -7\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44245850 rounded to the nearest 10000?\nAnswer: -44250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2798286.9 minus -266?\nAnswer: -2798020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -628\/9 + 70. Let w = -47\/2 - -25. Which is the third biggest value? (a) -0.4 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*f - 16 = -3*g, 12 = 2*g - 2*f. Suppose 4*d + 0*d = 4*r + 16, -5*d = -3*r - 18. Suppose m = -d + g. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53\/33 - 14\/11. Let b = -0.05 + 0.75. Let g = -0.3 - b. What is the closest to 0 in w, g, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + f = 6*f + 47, l - 21 = 5*f. What are the prime factors of l*2*(-25)\/(-20)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05087 - -227.04913. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:33 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j + 2. Let c be w(0). Suppose -c*x + 6 + 0 = 0. Suppose -x = -t + 6. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjhhjjjjdj. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 45. Suppose 3 = -3*t + 9. Solve -s + 11 = 5*j, t*s - i = s - 4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 167?\nAnswer: -30\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = -2*f. List the prime factors of f - (-3 - 1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v**(1\/12)*v**(2\/3)\/((((v\/v**3*v)\/v*v)\/v)\/v*v))\/((v\/(v\/(v\/v**(2\/7))))**(-1\/8)\/(v\/(v**(2\/9)*v)*v**(-6)\/v)) assuming v is positive.\nAnswer: v**(1739\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {o: 2, l: 1, j: 1, f: 2, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyl when three letters picked without replacement from {l: 2, n: 4, y: 2, r: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283 * 2.4.\nAnswer: 679.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/2, -118, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 22, -4 in descending order.\nAnswer: 22, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -24579 bigger than -24534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/10*20\/(-8). Let w(o) = j*o**2 + 2*o - 6*o + 4*o. Let i(h) = -2*h**2. What is w(i(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**(1\/8)\/y)*(y\/y**(1\/5))\/y*y\/(y*y**(7\/2)*y)*y*y**(-4) assuming y is positive.\nAnswer: y**(-193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16844437*y**2 + 2*y - 482120654 wrt y?\nAnswer: -33688874*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -4*a + 5*m, 60 = -2*a + a - 3*m. Let n = 133 + a. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1. Let n(s) = 22 - 91*s - 40 + 90*s + 25. Let f(d) = d**2 + 5*d - 7. Let g be f(-6). Determine g*n(v) - 6*a(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 11*u + 22. Let r be s(-6). Suppose 0 = -3*v + l - 9, 4*v + 4*l + 80 - r = 0. Which is the biggest value? (a) -1\/11 (b) -23 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 17 = -4*q - 0*q, 3*v - 29 = -q. Suppose 1 = -i + 2*i, -3*h + v = -4*i. Sort -4, 7, h.\nAnswer: -4, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 16) in base 3?\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -13, 1, -46, 1467.\nAnswer: -46, -31, -13, 1, 1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.1 + 9. Put v, 4, -1 in ascending order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3540 - -3542. Solve -2*g - 90*a + 94*a = 14, 2*a = 4*g - m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1312 - 1309. Which is the closest to -0.1? (a) 29 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12*i = 3*k + 31, 33*i = -k + 2*k + 28*i - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 13*z**2 + 1165*z + 14139. Calculate q(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 27 = -5*z, -t + 21 = 2*t - 4*z. Let p be 150\/(9\/t) + -1. Suppose -457 + p = -4*i. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 137, 134, 129, 122, 113, 102?\n\"Answer: -g**2 + 2*g + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 70 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 289\/(-102)*16\/(-204)*-99\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 4*w + 11*w + 8)*(0*w**4 - w**4 - w**4) - 42*w**4 + 3*w**5 + 42*w**4 + 2*w**3.\nAnswer: -w**5 - 16*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, 15\/4, 1\/415146?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 119 = 99 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -47. Find the first derivative of 27*h - o + 30*h + 3 wrt h.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*k**2 - 6 + 11.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001299104 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 213870.45?\nAnswer: 171096.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -4 + 11 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -2369, -3545, -4721?\nAnswer: -5897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3204 divide 438358464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/3 - (-4811)\/1020 and (-1)\/(-5) - (-30)\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:29 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 17. Let u be y(7). Let h(x) = -x - 7. Let n be h(u). Solve 0 = -5*d + 12 + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118787231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 123*q - 3309. Let v(k) = -35*k + 1103. Calculate -7*v(h) - 2*x(h).\nAnswer: -h - 1103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*4)*-6*2)\/(sqrt(11) + (sqrt(121) - 2*sqrt(121))\/sqrt(11) + sqrt(11) + (sqrt(11)*-1*-6 - sqrt(11)) + sqrt(11)).\nAnswer: -60*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9952 and 5248?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -160573?\nAnswer: 16057.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Let m be p(-2). Let g(u) = u - 3. Let b(i) = -1. Let v(h) = -5*b(h) + g(h). Let w be v(3). Sort m, w, -3 in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7779207, 7779184, 7779151, 7779102, 7779031?\n\"Answer: -y**3 + y**2 - 19*y + 7779226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -381596 (base 10) to base 3\nAnswer: -201101110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 18. Calculate the lowest common multiple of 802 and m(-10).\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25806, -51644, -77482, -103326, -129182, -155056?\nAnswer: -180954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/1707, 1, -9, -131?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - (-18 - (-53839)\/(-51)). Calculate the highest common divisor of 290 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 1. Let j(g) = g**3 + 1. Suppose -s + 2*b - 7 = 0, s - b + 11 = -2*s. What is s*c(i) - 4*j(i)?\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 - 0 - ((-10)\/5 + 2). Suppose 0 = 7*y + d + 265. Let u = y - -82. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 4*d + d**2 - 3 + 2*d. Let z be m(-5). Suppose 38 = z*v - 5*j, -4*j = -2*j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*(-5 - -3). Is 5\/(-15) + 70\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2546, -5.\nAnswer: -5, -2, 2546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189414697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 2140*f**2 - 144054*f - 1468368 = 0.\nAnswer: -1133, -9, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/13))**(-15)*p**(-3\/16)\/p*p**(-1\/6))**(16\/3) assuming p is positive.\nAnswer: p**(-4445\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 34 = -t, -2*t = 5*v - 80 + 47. Put -0.4, 0.09, t, 6\/11, 2 in descending order.\nAnswer: 2, 6\/11, 0.09, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 67\/5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/((w*w**(-1\/5))\/w))\/w)**(-1\/6)\/(w\/(w\/(w*w*w**(1\/3)*w)))**(-2\/7))**15 assuming w is positive.\nAnswer: w**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 + 0.11. Let m = -85 + 83. Which is the third biggest value? (a) h (b) -2\/11 (c) m (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14863 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(3\/3) - 3. Let u(d) = -d + 4 + 0*d**3 - d - 3*d**2 - d**3. Calculate the remainder when 29 is divided by u(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.411 - -0.089. What is the third biggest value in 2\/7, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 10*n**2 + 9*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.02 (b) 0.1 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/1447 or 1\/3?\nAnswer: 25\/1447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.994834 nanograms in grams?\nAnswer: 0.000000004994834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**3 - 13*t**2 + 11*t - 7. Let p(f) = -5*f**3 + 7*f**2 - 6*f + 4. Determine 4*i(y) + 7*p(y).\nAnswer: y**3 - 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -5 (b) 0.02 (c) 207 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*j, -r + 0*j + 5*j = 0. Solve 2*d = -r*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:53 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 9 = -3*v, 0 = 25*s - 26*s + v - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299984?\nAnswer: 2, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 - i - 17. What is p(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + -16. Let m = 32.941 + o. Let s = 0.0631 + m. What is s rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5199 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w**2 + w - 1. Let j be q(1). What is the first derivative of 15 + j*r - 12*r + 4*r wrt r?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8440288.400021 - 8440292. Let j = -18.4 + 22. Let n = j + l. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 22, 2*v = -5*n - 0*v + 3*v - 57 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 135. Suppose 0 = 3*i + 4*q - 1459, u*i = -5*i + 3*q + 2480. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -51 - 354. Calculate the remainder when 72\/(-30)*10*-3 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1029 and 7397187?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19596)\/(-5964))\/(15\/(-7) + 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 2*f - 2. Let m be x(-2). Let s(d) = -m*d**3 - 5*d**3 + 7*d - 9 - 2*d + 5*d**2 + 6*d**3. Does 13 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86094579579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*f**3 - 18 + 6 + 212*f**3 + 4 + 6 - 114*f**4 + 2*f**2 - 2*f as t*f + k + a*f**3 + x*f**2 + z*f**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*f + 6 = 0, -3*g - 5*f + 10 = 2*g. Solve 21 - 9 = 2*u - g*r, u = 5*r + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and 1\/62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8929 greater than or equal to -8490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(34\/24)\/(-17)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:07 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*m + 230*b + 112*b + 43, -4*b = b for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 198*b - 40216. Calculate w(186).\nAnswer: -3388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 79 in descending order.\nAnswer: 79, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0 - 2 - 3 + 3*w to s*w + y and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/(-12))\/(402\/1809).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 11*f - 5)*(4 + 2*f - 4) + (-f + 2*f - 3*f)*(3*f - 2*f - 3*f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30233 (base 5) in base 14?\nAnswer: -9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*b. Suppose b = 3*h - h. Solve v - 3*p - 21 = 2*p, h = -5*v + 4*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0146 and 54074859754.\nAnswer: 54074859754.0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16062 - 0.10659. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 10*r = -9*r - 644 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 2*u**2 + 11*u - 3. Let f be w(-4). Let b be 0 + (-1 - f\/5). Let z(i) = 10*i**b - 9*i**2 + 3*i - 7*i. Determine z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**3 + 159*q**2 - 5*q + 109. Does 17 divide o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 k when three letters picked without replacement from {e: 1, k: 2, t: 1, x: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i. Let j(p) = -p**2 - 176. Give j(c(l)).\nAnswer: -9*l**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 58 - 4*s**2)*((-2 + 4 + 0)*(2 + 2 + 0) + 3 - 1 - 4) + (-69 - 35*s + 69)*(0*s + s + 0*s).\nAnswer: -59*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 970 and 2425?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -10, -9, -8, -7, -6?\n\"Answer: p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 2 in ascending order.\nAnswer: -22, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 48*q**2 - 64*q.\nAnswer: -4*q*(q - 2)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375215800 rounded to the nearest 1000000?\nAnswer: 4375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04026 + -0.05974. Let t = 6 - 2. What is the nearest to 0.1 in t, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-5)\/10)\/((-1)\/6))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = 0. Let k be (2 - 1)*j\/7. Let z be 4*(k - (-615)\/(-2)). What is z rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -482, -1136, -2124, -3488?\nAnswer: -5270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g - 308. Calculate the smallest common multiple of y(30) and ((-16)\/(-6))\/((-4)\/(-12)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1 - sqrt(104))*5)\/sqrt(8) - ((sqrt(39)\/sqrt(3)*-2)**2 + (sqrt(13) - sqrt(13)*1 - sqrt(13))**2 + -1).\nAnswer: -64 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/9 - 3723\/1971. Which is smaller: -116\/67 or z?\nAnswer: -116\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -304*g + 42*g**2 - 2\/3*g**3 + 1760\/3 = 0?\nAnswer: 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 - 189 + 96 - 915*j**2 to r*j**2 + n*j + t and give r.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*402\/(-5427)*48\/3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, v: 2, u: 2, k: 9}. Give prob of sequence uukk.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2832 + -1273. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -152, -484, -1132, -2204, -3808, -6052?\nAnswer: -9044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 19*i - 13*i. Suppose 0 = -p - 5*z + 7, -i*p + 5*z = z - 6. Solve 5*t = p*x + 30, 3*t - x + 0*x - 17 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + -5*-2*sqrt(133) - 2*(sqrt(133) + -2*sqrt(133)))*6)\/((sqrt(847) - (sqrt(847) - 2*sqrt(847)))*6*-4).\nAnswer: -7*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364113923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16230 and 0?\nAnswer: 16230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8. Let n = -2 - f. Which is smaller: n or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383687 is divided by 864?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -130. Suppose a + o*a - s - 13 = 0, s - 12 = -2*a. Let b be 1 - 2\/2 - 0. Solve -g = -b - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*q - 4*q. Let b(j) = 4*j. Does 12 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.7 - -12. Let y = t + 1.7. Let u = -0.99998 + y. What is u rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 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: Suppose -3*p - 8225 = -c, -c + 3*p - 6*p = -8225. Let d = -2056369\/250 + c. What is the common denominator of d and -35\/18?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111000 + -1101?\nAnswer: -110100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2123311?\nAnswer: 2123302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12924.5 and -34.89.\nAnswer: -12959.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/117)\/((2\/1)\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2424*-0.3.\nAnswer: -0.07272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1138 - -1143. What is the closest to -0.4 in 0.4, r, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/(-3 - -6). Let z = 0.37 + -0.07. What is the closest to 1 in c, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10\/9)*z)\/z*z**4*z*z**(-6\/5)\/z**(1\/2))**(-4\/13) assuming z is positive.\nAnswer: z**(-394\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -796511\/56 - -14224. Find the common denominator of (-1268)\/1902*((-262)\/40 - -1) and o.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 1432. What is the highest common factor of i and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6321 and 40?\nAnswer: -252840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 479431525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.3323 - 25.5. Round t to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14167 (base 8) to base 3\nAnswer: -22120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-980) - (-1)\/10\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n + 26. Let h be w(-4). Suppose 0 = h*s + 3*o - 67, -4*s + o + 88 = -53. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/(-24)*((-153)\/12 - -12). Let v(u) = u**3 + 9*u**2 + 13*u + 14. Determine v(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.109 + 0.109. Let f be (-323)\/(-1071) + 10\/315. Is f at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -153*c**2 - 2. Let l(s) = -2*s**2 + 17. Determine j(l(q)).\nAnswer: -612*q**4 + 10404*q**2 - 44219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)*b*b**22 assuming b is positive.\nAnswer: b**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:10 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*t + 111*t - 450. Let p be 0\/(4\/(8\/6)). Let m be 5\/1 - p\/1. Solve -4*w - 10 = -m*v, t*v - 4 = 2*w + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**2\/2 + 1591. Let d(v) = -v**3 + 8*v**2 - 7*v + 2. Let t be d(7). Let u(h) = 9*h**t - 2 + 2. Give u(c(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -18*r - 15. Let p(w) = w**3 - 15*w**2 + 14*w - 4. Let x be p(14). Is n(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 49 - 23*b**2 + 6*b**2)*(2717 - 1289 - 1061) in the form x*b**2 + v + w*b and give v.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c = 49*c - 36*c + 168 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/27 and (1\/(-63))\/(55\/(-2915))?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101989772, 101989770, 101989768, 101989766, 101989764, 101989762?\nAnswer: 101989760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977 divided by -6.\nAnswer: -977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -32. Let j be 322\/(-588) - c\/(-12). Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c7 + 13a8?\nAnswer: 15a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 38*d + 186936. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12202 (base 4) to base 11\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l**5\/4 - 15*l**4\/2 - 10*l**3 + 20*l**2 + 19*l. Find h, given that f(h) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*q - 12, -4*q + f + 165 = 176 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**2 + 5095*n + 1700 = 0. What is n?\nAnswer: -1\/3, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -904*q + 11. Let v(y) = -1808*y + 20. Give 11*d(s) - 6*v(s).\nAnswer: 904*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009848484781 to 5 dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 10:36 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a millennium?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let v(b) = -b**2 + 9*b**2 + 5125 + 5*b + 0*b - 5106. Let t(i) = -3*i**2 - 2*i - 9. Let s(z) = 5*t(z) + 2*v(z). Determine m(s(k)).\nAnswer: k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 23*t**3 + 9*t + 17. Let m(d) = -10*d + 114. Let g = 261 + -249. Let k be m(g). Let r(f) = 8*f**3 + 3*f + 6. What is k*s(n) + 17*r(n)?\nAnswer: -2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from iinwhwhwwwhwicnchh.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7596*l**2 + 2112*l**2 + 750*l**2 - 7296*l**2.\nAnswer: -12030*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 212*m + 426. What is the least common multiple of r(-2) and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, 2\/7, -5 in increasing order.\nAnswer: -191, -5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.66 and 7626?\nAnswer: 35537.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335*r**3 + 12497 - 116*r**3 - 12496)*(0*r**2 - 2*r**2 + r**2).\nAnswer: -219*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29154*y**2 + 29154*y**2 - 58299*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*j**3*r + 1762*j**2*r - 2*j*r + 284428*r wrt j?\nAnswer: -834*j*r + 3524*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 + 5.9728.\nAnswer: 7.2728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 16*m + 0*m**3 - 18*m + 27*m.\nAnswer: 2*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -88.82. Let i = x - -12.8. What is the closest to 0 in i, 3, -0.06?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let q(r) = -3*r + 2493. Determine g(q(h)).\nAnswer: -3*h + 2493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4649 - 13665. Suppose 5*f = -4*a + d, 2*a - 16*f + 11*f - 614 = 0. What are the prime factors of a?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-37)\/(-2) - (0 - 1) and -31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3\/((-6)\/10) + (0 - (-5 + -9180))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + n**3\/2 - n**2 + 2*n. Suppose -5*m + 28 + 14 = -3*i, -3*i - 5*m - 12 = 0. Let s be 6\/(-5)*3\/i*10. Give l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) 10\/9 (c) 369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 t when three letters picked without replacement from llootatotulluuou.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2237796 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 2805 = 1411. Let f(w) = 271*w + 291*w - a*w. Let u(k) = 7*k. Give f(u(n)).\nAnswer: 245*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*t + 136 = 0, 49 + 79 = -4*w - 3*t. Let p(m) = m**2 + 5*m + 2. Let g be p(7). Let b = g + w. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - 6\/(-9). Let h be -2*i\/4*-2. Let w = -6.099 + 0.099. Do h and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*k = -37*k + 1804332600. Round k to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 39 = u + 3*s, 5*s - 5 = -2*u. Let l(m) = -452*m**2 + m**3 + 463*m**2 + 3*m**3 - 10*m - 5*m**3. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (315*a**2 - 315*a**2 + 17*a**4)*(212 - 212 - 49*a) + (4 - 4 - 4*a)*(0*a**3 + 0*a**3 - 2*a**4).\nAnswer: -825*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/360 - g**5\/30 - g**4\/24 - 35*g**3\/6 - 5*g - 1. Let r(y) be the second derivative of x(y). Give r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928334\/198 + 8 - 4\/(-9) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s + 134 - 134 to b + m*s and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 1047, 2360, 4199, 6564, 9455?\nAnswer: 12872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/1901801 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 1 z when three letters picked without replacement from {t: 1, z: 1, p: 1, u: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.1 + 19.54. Let n = 1.22 - 2.96. Let c = q + n. Round c to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -53\/3. Let p = 938 + -710. Let y = p - 227.6. Which is the nearest to x? (a) y (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 2199. Let y(v) = 49308*v - 1. What is y(g(r))?\nAnswer: -147924*r + 108428291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -17 + 13 + (0 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6327427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*i = 45, -5*z - 5*i = 72 + 13. Let k be (4 - z\/(-4))*2. Put -0.4, k, 0 in decreasing order.\nAnswer: 0, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 0, a = 3*a + 2*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43336 + -43193. What is the highest common divisor of 242 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*l**3 + 251 + 36 + 150*l**3 + 218*l**3 - 95*l**3 wrt l.\nAnswer: 1047*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 - 2*d - 1. Let b be (-26)\/(-8) + (-1)\/4. Let r be v(b). Let s = -9 - r. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4)*3 + sqrt(50) + -1 - (sqrt(1458) + sqrt(2) + -3 + 1)**2.\nAnswer: -1573 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215163 or 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21474*g**3*t**3 - 587*g**3*t - 152*g**3 + 6*g**2*t**5 wrt t?\nAnswer: 128844*g**3*t + 120*g**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -2732775?\nAnswer: -2732775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 + 162897*i\/2 - 8845144203\/4.\nAnswer: -3*(i - 54299)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7 = a - 1, 2*x = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-18))\/(4\/(-24)). What is the tens digit of q - (-264 - (0 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 14*j + 0*j**2 - 83 + 9*j + 135. Let c be k(-21). Calculate the greatest common factor of c and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/282744 and 95\/296.\nAnswer: 10461528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1439359.2 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/7, 7, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(847) + 3 + sqrt(847)*1 + sqrt(847) + 2*sqrt(847)*4 + 4)*-3*6 + -1))**2.\nAnswer: 19915632*sqrt(7) + 1195989012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 2*w - 3*w + w**3 + (w + 2*w + 0*w)*(-97*w**2 + 11*w**2 - 42*w**2))*(1 + 4 - 4).\nAnswer: -382*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*d - 3*j, 0*d - 35 = 2*d - 5*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 168557.3 - -4.710772\nAnswer: 168562.010772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 4*j, 4*b + 44 = 8*b + 5*j. Suppose 0 = b*w - 131 - 109. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 683*h - 30772. What is q(45)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/8))**(1\/12)\/(m\/(m\/m**(-35))*m**(-26)*m) assuming m is positive.\nAnswer: m**(5767\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x + 5. Let b(d) = -13*d - 1. Let m be b(-1). Let l be 32\/m*3*-1. Let y(r) = 9*r - 3. Give l*y(h) - 5*s(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 - -10?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133321 is divided by 178.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258*y**5 + 12 + y + 17 + 124*y**5 wrt y.\nAnswer: -2680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*f**6 + 86*f**6 + 8*f**5 - 176*f**6 - 18*f**2 wrt f.\nAnswer: 120*f**3 + 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10342, 21032, 31722?\n\"Answer: 10690*m - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3190752 and -61\/4387284.\nAnswer: 35098272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 50\/(-15))*-15. Suppose -186 = u*r - 691. List the prime factors of r.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -9*z - 9270. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/5 + -4\/5. Let f = -235 - -237. What is the nearest to -1 in 0, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144480 divided by 120.\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46057746*p**3 + 2*p**2 - 150511899 wrt p.\nAnswer: 138173238*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373*j**2 + 660*j**2 + 712*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 3529835 and 3529900 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 966, 1453, 1962, 2505, 3094, 3741?\nAnswer: 4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19895 (base 14) to base 3.\nAnswer: 10021220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/6269 + -144097\/94035. Find the common denominator of 4\/((-66)\/4 - 1) and b.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrriiir. What is prob of picking 2 i and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s - 245 - 736 = 295 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2544110 divided by -508822\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + x - 10 - 4, 4*r + 2*x + 14 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/2 + -2 + 1. Suppose 23*n = 2*n. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by -7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/5 - 982*k\/5 - 1984 = 0 for k.\nAnswer: -10, 992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 732.49 times 5\nAnswer: 3662.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233546818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))**27\/(w\/((w\/(((w\/(w**(-1\/5)\/w))\/w)\/w)*w)\/w*w*w)*w**(-6)) assuming w is positive.\nAnswer: w**(309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-7 - -3 - 2) - -5) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 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: What is 53 minutes before 11:18 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*s + 20, -116*m + s = -122*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76515 is divided by 38251?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202681, 202670, 202661, 202654, 202649, 202646?\nAnswer: 202645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 901343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 48, 87, 144, 225, 336, 483?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 228762 to the nearest one thousand.\nAnswer: 229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 532, 0, -22 in descending order.\nAnswer: 532, 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/220 and 163\/2809020.\nAnswer: 30899220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3. Let g(b) = -5*b**3 + 4*b**2 + b + 1. Let a(q) = -g(q) + 6*t(q). Let z be a(-4). What is the second derivative of m + z*m - 5*m**3 - 7*m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -410, -820, -1230, -1640, -2050?\n\"Answer: -410*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*t - 2*z, 6*t - 2*t - 7 = z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-63) + (-1)\/(-3). Let k = 33\/10 - 37\/15. What is the third biggest value in c, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 130 - 203. Let r = -120 + x. Let d(f) = f**2 + 7*f. Determine d(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261493 and 9744.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1, -3\/44, 7133 in ascending order.\nAnswer: -1\/8, -3\/44, 1, 7133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(6*q - 3*q - 5*q) + 2*q + q - 2*q - 4*q + 0*q + 5*q + 2*q - 4*q + 4*q - 1138 + 4301*q + 1136 - 705*q as x + s*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019676 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d**5 + 458690*d**4 + 2104790521*d**3 + 7570587148*d**2 - 3280824400*d + 336502336 = 0. What is d?\nAnswer: -9172, -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 2. What is y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416305.\nAnswer: 5, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 46. Suppose 0 = p - g*v + 80, v = -v + 8. Let i = p + 193. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (-2 + sqrt(180)))**2 - sqrt(5) - sqrt(5)) + -5*sqrt(500).\nAnswer: -72*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + x. Let v be o(1). Let y be (-3 + (v - -2))*-1. Let d = -1 - y. Solve 0 = g - z, 0 = -5*g - d*g + 2*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(5*j - 5*j + 6 - 3*j).\nAnswer: -6*j + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 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: What is the closest to -1 in 34, 4\/3, -1366, 1, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7625 - 99123\/13. Find s such that 6\/13*s + 8\/13 - h*s**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 123.6821ng?\nAnswer: 0.1236821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 5:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + -15.74199561.\nAnswer: -58.74199561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -31982.361 to the nearest 100.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4))\/c**18*(c\/(c**(-5)*c*c))**(4\/11) assuming c is positive.\nAnswer: c**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -27. Let z = j - 8. Let b = -2305 + 2305.9. Sort z, b, 3\/7.\nAnswer: z, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3904*i + 16659. What is q(5)?\nAnswer: -2861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d - 6. Let u be j(-1). Suppose 4*s - 1 = 3. Is (s\/u)\/(28\/35196) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704446919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -166. Let k = y - 75.61. Let o = -0.61 - k. What is the third smallest value in 1\/8, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3\/9 + 334*l**2\/9 - 568*l\/9 - 280\/9.\nAnswer: 2*(l - 2)*(l + 35)*(5*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2361 + -41185\/1574. Let a = 26 + c. Sort a, -2.3, -0.5.\nAnswer: -2.3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) -0.403 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (64\/(-184))\/((7 - 3)\/4). Which is the nearest to -1\/3? (a) -1\/4 (b) 1.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*y - 4*h, -3*y + 35 = -4*h - 14. Calculate the remainder when 251 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1\/3, 1\/7, -5, -12 in descending order.\nAnswer: 1\/3, 1\/7, -5, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -532, -2117, -4752, -8431, -13148, -18897?\n\"Answer: v**3 - 531*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m = 70. Suppose 0 = c - 8*c + m. What is the first derivative of c*q**3 - 3*q - 4 + 3*q + 5 wrt q?\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5110*o - 758. List the prime factors of w(-3).\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 1. Let n be 2\/(-14) + (-15)\/(-7). Let t be n + -3 + 4\/1 + -1. Let a be (-3 + 11\/3)\/(t\/3). Calculate d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {q: 7, l: 3, b: 2, e: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -405*o**3 - 27*o**2 wrt o?\nAnswer: -2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, 1 s, and 1 f when four letters picked without replacement from {s: 2, f: 3, z: 4, b: 2, y: 1}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**4 + y**2 + 1. Let l(c) = 26*c**4 - 13*c**2. Let d(r) = 52*b(r) + 4*l(r). What is the derivative of d(h) wrt h?\nAnswer: 208*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*k**2 - 135*k + 110342 wrt k.\nAnswer: -116*k - 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.1. Let k = 10 - 21. Let y = -15 - k. Put y, 0.1, q in descending order.\nAnswer: 0.1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 2. Suppose 4*d + k*o = 2*d + 16, -3*d + 2*o = -9. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4138*5.9948.\nAnswer: -24806.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2525732 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -1, -1322427 in decreasing order.\nAnswer: 5, 4, -1, -1322427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 1. Let l be t(-1). Suppose -2*n - 5*a - 7 = -31, -10 = -3*n - a. Let h(b) = -3*b - b**3 + 0 - 2 - b**n - 4*b**2. Calculate h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890 and 20494030.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158066491 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578, -2491, -5668, -10103, -15790, -22723, -30896?\nAnswer: -40303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -43*u**6\/3 + 25*u**2 - 84. What is the second derivative of t(x) wrt x?\nAnswer: -1720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.096 from 0.19.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31399864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**12*l*l**(-17)\/l*l assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 278933 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) 4 (c) -1\/4 (d) -0.2 (e) -2\/779\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 16) to base 12.\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + h = 75*x - 121*x + 39, -4*x - 13 = -h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -611\/3, -4\/5 in descending order.\nAnswer: -5\/7, -4\/5, -611\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and 23\/131524.\nAnswer: 263048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*-3)**2 + 4 + -3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 38. Let k be ((-16)\/2)\/(9 + o). Suppose 84 + 60 = k*g. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -366?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:19 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Suppose 665 = z + o*z. Does 28 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.04 - 1. Let c = o - 0.01. Let l = -0.37 - c. What is the smallest value in l, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 482791 + 148145 = 0. What is the tens digit of q\/230 - 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -209, -212, -213, -212, -209?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 9*m - 36 + 14)*(m**3 - 4 + 4) to o*m**3 + s*m + w + p*m**2 + z*m**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 5. Let o be d(0). Suppose 2*s + 24 = -0*s - 3*c, -o*s + 3*c = 18. Let u be 4 + (s\/(-2) - -13). Solve -f - u = -6*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327816127.\nAnswer: 327816127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64405975 and 1605?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/16792366 and 101\/2882?\nAnswer: 184716026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9961*p + 44 = -9965*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72667 divided by -5.\nAnswer: -72667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.7004629 + -0.235\nAnswer: 4.4654629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -396.6691 to 1 dp.\nAnswer: -396.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 25*g. Let s(n) = -n + 7*n - 2*n - 3*n. Give -r(a) + 20*s(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1313238 and 6234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 9*d**2 + 7*d**2 + 4*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11212 - -125?\nAnswer: -11043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396 + 400 - 41*u**3 + 40*u**3 - 796.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*f + 1 = -39, -3*x - 5*f + 14 = 0. Suppose -x*q - 216 = -5*q. Let t = 40 + q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 21*n + 25. Give r(-9).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32212928 divided by -22?\nAnswer: 1464224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.7989299 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.139 (b) 0.5 (c) -1.8 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 9088?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.33 - 10.87. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 645, 969, 1295, 1623, 1953?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 6, q: 3, v: 1, d: 4, e: 1}. What is prob of sequence vq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2adb (base 15) to base 2\nAnswer: -10001111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011346284214 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*g - 0*g + 14, -3*i - 5*g + 22 = 0. Let z be (i + -1)*(-8)\/(-12). Solve -z*d = -4 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmvmvovvmvvmvom. What is prob of sequence mo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7648 or 7650?\nAnswer: 7648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 25*q**2 + 10*q**2 + 16*q**2 in the form z*q + x*q**2 + j and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 30a?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 59*y - 484. Let k be r(8). Which is bigger: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/16 - 8\/(-64). What is the hundreds digit of 1\/3 + c - (-83226)\/99?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11600474.\nAnswer: 2, 5800237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -600291, -600288, -600285, -600282, -600279?\nAnswer: -600276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 3 in decreasing order.\nAnswer: 10, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 501, 926, 1377, 1866, 2405, 3006?\n\"Answer: 2*c**3 + c**2 + 408*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m**2 - 5*m + 3. Let v(x) = x**3 - 2*x**2 - 2*x - 1. Let k be v(3). Suppose -k*p - 2*j + 3 = 1, -14 = -2*p + 2*j. Give i(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 161*m**2 + 7*m. Let t(r) = -2*r**3 + 161*r**2 - 8*r. What is -6*o(a) - 5*t(a)?\nAnswer: -2*a**3 + 161*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 107310 = 6*k. Let w be (-50)\/(-75) - k\/(-6). Is w\/(-15) - (-2)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 6 - 3*u - 5*u + u. Let f be l(-4). Let j = 0.9 - 0.8. Which is the nearest to f? (a) -3\/4 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494604 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-2 + 6*sqrt(84)\/sqrt(4))\/(-2*sqrt(448) - (sqrt(7) - sqrt(196)\/sqrt(7))).\nAnswer: 8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 78*p**3 + 9072*p**2 + 148960*p.\nAnswer: -2*p*(p - 95)*(p + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + d - 32, p = 4*d - 2 - 7. Let u = 22 + p. Solve 0 = -j - w + 1, -u*j + 2*w - w = -11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from qqybibqbyivbvqiv?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 415163 + -3?\nAnswer: 415160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 3*s**2 + 2*s + 3. Let w be v(7). Suppose w = 10*j - 224. Suppose 0 = -t + j + 19. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + f - 3. Let t be l(3). Suppose -10*z + t = -9*z. Suppose 4*q - x - z = 0, -5*x + 5 = -q + 19. Solve 0 = -0*n + 2*n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 0*j + 3*j)*((-22 + 16*j**2 + 22)*(-2*j - j + 2*j) - 2*j**3 + 0*j**3 - 6*j**3) to d + k*j**2 + i*j**3 + q*j + y*j**4 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 1. Let k be 0\/(-4 - (2 - 5)). Suppose 7*c - 10*c + 3 = k. Let b(s) = -3*s - 6. Suppose -4*n + 5 = 21. Give c*b(t) + n*f(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 12 - 67 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2088150141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -29. Which is smaller: g or 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 + 31 + -6 + (0 - 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**(-6))\/(s**2*(s*s**(-3\/5))\/s) assuming s is positive.\nAnswer: s**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.0007, -0.05, 0, -2\/15.\nAnswer: -5, -2\/15, -0.05, 0, 0.0007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 4, c: 4}. What is prob of picking 1 c, 1 u, and 1 m?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-979.34\nAnswer: -489.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6*r + 3. Suppose 3*q - 2*q - r = 0. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 3, y: 1, t: 3, n: 3, o: 3}. What is prob of sequence ty?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 48. Let u = -1 + -37. Let g = u - -23. Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**2 - 85*s + 36. Give i(-7).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(7\/5))\/(k**2\/k))\/(k**(1\/4)\/k)**35 assuming k is positive.\nAnswer: k**(553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 506 - 672 - 262)*(-2*v + 2*v - 2*v)*(3*v + v - 6*v) to j + m*v**2 + c*v and give m.\nAnswer: -5888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + 10432?\nAnswer: 10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 17*o = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1500 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 20. Let y be j(4). Suppose y*h = -5*p - 3 - 9, -4*p - 3 = h. Solve -20 = -p*o - 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 28\/(-8))*126. Let g be s*(-2 - (-5 - -2)). Suppose x + 2*b - 32 = -0*x, -b = x - 37. Calculate the highest common factor of g and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045548 to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1584*z + 12380 wrt z.\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 2*q - 1. Let y be v(-1). Let j be (y\/(-45))\/(8\/(-20)). Which is the smallest value? (a) -2\/7 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23669*k - 1966*k + 26020*k - 991*k.\nAnswer: 46732*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.38 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5820, -5851, -5906, -5997, -6136, -6335, -6606, -6961?\n\"Answer: -2*f**3 - 17*f - 5801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42593 + 42591. Let h = 0.9 + -4.5. Let c = 0.6 + h. Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54915467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 9*g**2 - g**2 - 2*g**3 + 3*g**2 to h*g + f*g**3 + w + o*g**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8802010 to the nearest one hundred thousand.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256889 is divided by 367.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i - 6. Suppose -5*q = 2*m - 29, q + 9 = -3*m + 4*q. Let c be (-2 + 1)\/(m\/(-10)). What is the units digit of b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*g - 3*g - 9 = 0, -2*g + 15 = 3*f. Suppose p + 12 = -2*n + 5*p, -4*n + 4*p - 8 = 0. Solve -1 = z + n*y - f*y, 3*z = 4*y - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -175*s**4\/2 + 1003*s**2 - 3089. Find the second derivative of a(t) wrt t.\nAnswer: -2100*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {z: 1, s: 3, o: 6, b: 1, q: 2}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18361424 and 288.\nAnswer: 330505632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 18*s - 7*s**3 - 18*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 take away 29.9889?\nAnswer: 504.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*v - 13*v + 2*v**3 + (0*v + 2*v - 4*v)*(-v + 2*v + v - v**2).\nAnswer: 4*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 17. Give q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*k**4 + 5 + 201*k**4 + 18*k**4 + 12 - 27 wrt k.\nAnswer: 876*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3716996 centimeters?\nAnswer: 0.000003716996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*l + 7 + 0 = 0, 2*l = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24676*0.01.\nAnswer: -246.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - o**2 - 3*o - 2. Let s be i(3). Suppose -s*m = -1213 + 72. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 10*j**2 + 4*j + 11. What are the prime factors of p(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 42*r - 3*r to the form i*r + m and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u + 2160 = 126*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107389 is divided by 3831?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/6)\/(294\/196))\/(1\/(-87)).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*j - 4, 2*u + 0*j = j + 6. Suppose 0 = -3*k + u + 16. What is the least common multiple of 7 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/3 - 16991*g**3\/3 + 33977*g**2\/3 + 16991*g\/3 - 11326 = 0.\nAnswer: -1, 1, 2, 16989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.8. Let z = -214 - -215. Which is the nearest to z? (a) p (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*o**4 - 1180*o**3 + 819551*o**2 wrt o.\nAnswer: -600*o - 7080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (312\/10)\/(1366\/3415)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69012 by -6.\nAnswer: 11502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 + 178*q - 141. Is 3 a factor of r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1435840 and -79\/1794800.\nAnswer: 7179200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -24. Let u = 70 - r. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p. Let i be (-5)\/((-15)\/12) - 5. Let g be q(i). Let a(l) = -4*l**3 - l**2 + l. Is 4 a factor of a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 + 4.98. Let h = g + -4. Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:05 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*y + 5, -4*y - 23 = 5*q - 6*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/3, -9, 10697, 3.4 in increasing order.\nAnswer: -9, -5, 4\/3, 3.4, 10697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 8446329.\nAnswer: 4\/8446329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 23*j**2 - 22*j - 5. Let q be f(24). Suppose q*c - 5007 = 30554. List the prime factors of c.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - w, -3*x + 0*w + 8 = w. Let z = -6\/229 - -6207\/916. Find n, given that -9\/4*n**x - 1\/4*n**3 - 27\/4*n - z = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1799 and 29789641.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*l**2 - 475*l**2 - 193*l**2 + (2 - 5*l - 2)*(4*l - 7*l + 4*l).\nAnswer: -591*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 306 = 2*o - 318, -5*o + 4 = 4*h. Solve -12 = g + o*p, 36*g - 33*g - 8 = -p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*m + 168 - 442 = 0, -p = -3*m - 65. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910127 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42382 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 s be 5\/3 - (2 + 1). Which is the third biggest value? (a) 0 (b) -8 (c) s (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 77 = -10*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 26. Let k be w(4). Solve 7*o - k*o + f + 13 = 0, -2*o - f - 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11272 - 5890. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -32, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72)\/sqrt(4))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 5, 9, 15, 23, 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -32ac (base 13) to base 4\nAnswer: -1232133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132309\/52 - 2544. Find the common denominator of y and -51\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.454048us?\nAnswer: 7454.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 80*-1705\nAnswer: -136400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399954 is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 1. Let g = -7 - -11. Suppose 12 = 4*r + g. What is the remainder when b is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/10)\/(1536\/64)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 13. Let c = -32989 - -231625\/7. Let v = c + -100. Sort v, s, 4 in descending order.\nAnswer: 4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 + 4*s**2 - 8*s - 7. Calculate the remainder when z(3) is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049593 + 77983.049593. Let b = l - 77982.9739772. Let u = -0.026 + b. What is u rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 + 356*r**2 + 31325*r - 64082 = 0. Calculate r.\nAnswer: -179, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4 - 0, 0 = -5*f - 4*a + 9. Suppose -2*v = v + 9. Let j = 7 - v. What is the least common multiple of f and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49106269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:54 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5\/7)\/(18\/1008*12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r).\nAnswer: (r - 4)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, d: 13}. What is prob of sequence ddjj?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4848, 9696, 14544, 19392?\nAnswer: 24240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -9.14873 and 111 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.022, 22210 in descending order.\nAnswer: 22210, 3, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -3030100?\nAnswer: -3030233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h + 45. Let m be t(6). Let k(d) be the second derivative of 0 - 17\/6*d**m - 22*d - 7*d**2. Differentiate k(w) wrt w.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38069?\nAnswer: 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -27.00082. What is s rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 40001\nAnswer: 4\/40001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-2 - 25)) + (1 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdisu. Give prob of sequence dsgi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b2c0 - -9?\nAnswer: -2b2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 + 6081.3.\nAnswer: 6084.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(17) - (sqrt(17) + 0)) + 0)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -2. Let b = s - -2. Let w = -5084.1 + 5084.2. What is the fourth biggest value in 2\/9, 3\/7, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22421 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 324\/2501729?\nAnswer: 324\/2501729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -24. Let n(x) be the first derivative of -3*x**2 + 3 + x**2 - i*x**2 - x - 1. Differentiate n(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 plus -0.07?\nAnswer: -200.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3587*u**2. Let m(a) = -8*a**2. What is m(j(q))?\nAnswer: -102932552*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 1\/24*q**4 + 1\/60*q**5 + 0*q + 1\/360*q**6 + 0 + 23\/6*q**3 - 9*q**2. Let d(n) be the first derivative of s(n). Factor d(x).\nAnswer: (x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 72. Suppose 2*w = d*o + 37 - 8, 0 = -w + o + 13. Round w to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 0*r**3 + 0*r**5 + 3*r**5 - 3*r**3 - 3*r**4.\nAnswer: 3*r**3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20150 - -20153. Let v = 447 - 41. What is n in -153 - 34*n**2 - 37*n + v*n - 9 + 5*n**l + 122*n**2 = 0?\nAnswer: -9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 213*p - 4455. Does 11 divide o(54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 20 = 2*j, 2*l + 144 = -4*j. Let y = l - -112. Suppose 42 + y = 3*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.2311\nAnswer: -0.11555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(-f + 0*f + 3*f) + (0 - 1 + 4)*(2*f - 4*f + 6*f) - f - f + 0*f to the form l + i*f and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*r + 646*r - 135*r - 326*r + 494*r to b*r + v and give b.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f + 4*f)*(-3 + 3 + 2)*(-26 - 10 - 5) to l*f + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 18*g + 18. Determine v(-14).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15071*k**2 + 1188*k - 1188*k.\nAnswer: -15071*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/5 (c) 0.5 (d) -0.04 (e) -3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*c. Let y be -3*(c - (-2480)\/(-3)). Suppose -3*q = 11026 + y. What is q rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2363 - -1573. Is f at least 3938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q - 1 + 3*q**2 + 1 - 3 - 2. Let b(f) = f**2 + 2*f - 2. Let h(j) = -7*b(j) + 2*l(j). What is the derivative of h(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1584) + 0 + 0 - (1 + -3*sqrt(1584) + -1)) + 5)**2 + 0.\nAnswer: 768*sqrt(11) + 25408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581a (base 15) in base 9?\nAnswer: 27577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*u - 8, 4*v + 5*u + 3 - 17 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(50))\/(sqrt(70)\/sqrt(7)*-6).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhf when four letters picked without replacement from {z: 6, f: 7, l: 2, k: 3, h: 1}?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - 1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 369\/4963 or -3?\nAnswer: 369\/4963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.17353kg to milligrams.\nAnswer: 35173530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2*t - 90*r**2 + r*t - 46*r - 313819*t wrt r?\nAnswer: -2*r*t - 180*r + t - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6834 divided by 2\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t - 1149. Let p(l) = -18*l + 1158. Determine -7*k(r) - 6*p(r).\nAnswer: 3*r + 1095","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 71*m**5\/5 + m**4\/2 - 90*m**3 + m**2\/2 + 86. Find the third derivative of p(g) wrt g.\nAnswer: 1704*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 - l + 111)*(2*l - l - 12*l)*(71*l + 87*l - 135*l) as d*l**2 + g + t*l**3 + q*l and give t.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75 + (-24 - -13))*-12. Calculate the greatest common factor of p and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:43 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 45 = 3*o. Let t be ((-3)\/(o\/12))\/2. Suppose 2*g - 10 = 2*p, -g - 3*p - 3 = t*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -72, -208, -460, -864, -1456?\n\"Answer: -6*o**3 - 4*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.5237 kilometers to meters.\nAnswer: 94523.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 16 = 2*b, 4*u = -3*b + 22. Suppose 3*v - 519 = -453. Suppose 5*a - m = -19 + v, a + 15 = -5*m. Solve a*q + b*q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - (-11)\/30. Let x(y) be the second derivative of 0*y**5 - z*y**6 + 1\/3*y**3 + 0*y**2 + y + 1\/4*y**4 + 0. Solve x(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11222 - -11305. Which is the fourth biggest value? (a) -0.7 (b) 4 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*p**2 - 180*p + 180*p)*(-3*p - 1 + 1) to the form m*p**3 + l*p**2 + d*p + q and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 18*d**2 - 6*d - 24. Let w be 1 + (-1)\/((-4)\/(-52)). Let r be z(w). What is the common denominator of 61\/14 and -2*(-1180)\/r - -4?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2660503ml?\nAnswer: 0.0002660503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-106))\/((-33)\/17589) + (-20 - (18 - 28))?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/18)\/((-2)\/4). Suppose x = 4*s + 33, 8*x - 21 = 4*s + 3*x. Let j = l - s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401.2 rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*s = -6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - q**5 + q**5 - 3*q**4 + (0*q**3 - 2*q**3 + 3*q**3)*(q**2 - 2*q**2 + 2*q**2).\nAnswer: -q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2360 (base 16) to base 14.\nAnswer: -342c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 2*w, 3*m - 6 = 2*w - 4*w. Suppose w = 6*q - 55 - 11. Solve -24 = -7*g + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - -2266.\nAnswer: 2265.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 152315*k**2 - 456990*k = 0 for k.\nAnswer: -30466, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1422305250 and -4.0236.\nAnswer: 1422305245.9764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (10067 - 1) + -11 + 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 45 = -2*l, -l = q + 3*l - 49. Let m(t) = -58*t - 271. What is the remainder when m(-7) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Express 2 + 3*y**4 - 3 - y**4 + (-9*y**2 + 12*y**2 + 10*y**2)*(2*y - 2*y - 2*y**2) as p*y**4 + x*y + h*y**2 + k*y**3 + m and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3281552?\nAnswer: 2, 205097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccee. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 3, o: 1, f: 2, x: 3}. Give prob of picking 2 a and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 74?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - v - 2*v + 0*v - 6 + 4*v**2.\nAnswer: 3*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1413 - -3?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b**(-3\/7)*b)\/b)\/(b**4\/b))**(-9))**(-32) assuming b is positive.\nAnswer: b**(-2880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/(-4) - -24) + (-2 - 1). Suppose 33*u + 20 = l*u. Does 10 divide (-128)\/(-2) - u*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5790, -5791, -5792, -5793, -5794?\nAnswer: -5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 2, f: 1, q: 1, m: 1}. Give prob of sequence qf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c = -28*c - 27*c - 2079. What is the greatest common divisor of 108 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.154 - 0.146. Which is the closest to 2? (a) -2\/9 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203.4 + 210. Let v = 10.6 - k. Which is the second smallest value? (a) v (b) -140 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6, 0.4, 19452, 2\/15.\nAnswer: -6, 2\/15, 0.3, 0.4, 19452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 871*w - 101911. Give p(117).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 700, 1538, -62 in decreasing order.\nAnswer: 1538, 700, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -6, 3 in ascending order.\nAnswer: -6, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 54*x**2 - 5*x**2)*(12*x**2 + 1 + 0 - 10*x**2).\nAnswer: 108*x**4 + 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-140)\/75 - (5 - 7). Which is the nearest to -3? (a) m (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 1, 27, 63, 109, 165?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -1 (c) 0.6 (d) -61\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 74*h**3 - 916*h**2 - 25242*h - 24255 = 0. Calculate h.\nAnswer: -21, -1, 55\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 89. Let z(t) = 2*t. Determine z(m(x)).\nAnswer: 4*x + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49523\/506175 - -2\/9925. Calculate the common denominator of n and 8850\/(-1575)*(-28)\/(-96).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 536405167 + 155.3\nAnswer: 536405322.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21919?\nAnswer: 23, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 895 = 915. Suppose 3 = 2*o - 7. What is the second derivative of n**o - 3*n**5 - x + 4 - n wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1020650 smaller than -1020652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(3\/4)\/v)\/(v\/v**9))\/(v**(-11))**33)**12 assuming v is positive.\nAnswer: v**4449","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(2\/20). Let o be 0\/(v\/((-10)\/(-4))). Let a be (-3 - 247)*(o + -28800). Round a to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*d + 150*d + 10*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1402 - -1402.3. Sort 1\/6, 0.4, 15, j in decreasing order.\nAnswer: 15, 0.4, j, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142890 and 15741?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2197 and -0.011?\nAnswer: 24.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*f**2 - 7*f**3 - 40*f - 12 + 8*f**3 - 37*f + 111*f - 35*f to q*f**2 + w*f + j*f**3 + a and give q.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162416826 and 2005146?\nAnswer: 162416826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/72*(-1)\/((-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/28695 and 69\/50.\nAnswer: 286950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose 3373194 + 3251329 = -f - b*p, 12 = -3*p. Let r = -2724503 - f. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1*sqrt(539) + -1 - (sqrt(891) + (sqrt(891)*1)**2 + -4).\nAnswer: -888 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002838441702 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 4, 7, 12, 19, 28?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3429*j + 1558*j = 24935 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7*h - 108. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 603, 600, 597, 594, 591?\n\"Answer: -3*m + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 182*s**5\/5 - 1580*s**2. Let j(y) = y**2. Give j(g(x)).\nAnswer: 4769856*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9570465 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2957213, 5914417, 8871625, 11828837, 14786053, 17743273, 20700497?\nAnswer: 23657725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39744675 divided by -13248225.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -299*q**3 - q**2 - 2*q - 1. Let d be i(-1). Let r = -103 + d. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52269, 52268, 52267?\nAnswer: 52266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 3, y: 8, l: 6, r: 1}. What is prob of picking 3 l?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 77, 91, 105, 119?\n\"Answer: 14*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142007174?\nAnswer: 2, 71003587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 at most as big as 2\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 5:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let y = 64.577 + -64.527. Which is the nearest to y? (a) 4 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2930706 or -2930632?\nAnswer: -2930632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775331716.\nAnswer: 2, 17, 61, 186917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + -0.3. Let t = 76.585 + -47.585. What is the third smallest value in j, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + 6\/5*y**2 + 33\/20*y**4 - 24\/5*y**3 - 11. Factor l(z).\nAnswer: 3*z*(z - 2)*(11*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.88 + 0.72. Let o = y + 1.4. Let i = o - 6. What is the smallest value in i, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -117. Let r = c + -263\/4. Let g = 0.52 - 0.12. Sort -1\/6, r, g.\nAnswer: r, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-14) - (-36)\/14. Solve -2*z = -a, -2*x + 4*z = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(-41 + (-60 - -398))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*x - 20, 3*u + u = 3*x - 25. Let t be ((-140)\/112)\/(1\/u). Solve -21 = t*d - 3*z, 2*z + 5 = -d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -520.38\nAnswer: -208.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/16 and -47\/2744.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.04, 54316?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.01 (c) -0.3 (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let l = -3 + 6. Let f be l\/(2 + (-2)\/4). Let i = 3 - f. What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/11, 0.6, 1\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 57*t**2 + 132*t + 2894. Give d(-29).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 + o**5\/5 + 11*o**4\/24 + 17*o**3\/6 + o**2 - 2. Let j be f(-11). Solve -5*z + 2*c = 29, -3*z - 2*c = -3*c + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90678275, -90678274, -90678273, -90678272, -90678271, -90678270?\nAnswer: -90678269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-37 + 31)*(1 + 5). Sort c, 2, 5, 4, -1.\nAnswer: -1, 2, 4, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.2, 1, 446027?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -257.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*c*j*o**3 + 47*c*j*o**2 - 3756*c*o**3 - 224*c*o**2*q + 5*c*o - c*q - 3*j*q + 291*o**3*q - o**3 + 44*o*q wrt o.\nAnswer: 252*c*j - 22536*c + 1746*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**4 - 103*p**2 + 103*p**2 + (21*p - 21*p + 4*p**2)*(p**2 + 3*p**2 - 6*p**2).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2263 and 22979524.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1132 divide 53532280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*c + 5, -6*g + 7*g + 2 = 3*c. Suppose -4*w - g = -5. Let k(s) = w + 0 - 39*s + 46*s + s**2. What is k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 - 2 + 1 + 2*h - h**4 + 2*h**3 to m*h**4 + s + x*h**2 + c*h + g*h**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 77 = 560 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 7*i**2\/2 + 55*i\/4 + 21\/2.\nAnswer: (i + 1)*(i + 6)*(i + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13578797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -6*v - 90. Calculate the remainder when 5\/3 + (-3)\/(-9) is divided by (-8 + 1)*v\/(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-17547\nAnswer: -8773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 11 - 47. Let z be 0 - (0 + 1) - m. Suppose z = 6*v - v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.7 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12272 and -827499638?\nAnswer: 827511910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 11 = -4*u, -h - 12 = -3*h - 2*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 13*r - 4. Let k be 1\/(0 - 3\/(-27)). Let t be l(k). Let v = -17 + t. Solve -g + 14 = 5*i, -2 = -5*g - 3*i + v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from acacaca.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24510 + 16912 = 119*t - 44258. Calculate the lowest common multiple of t and 180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let x(z) = -593*z**2 - 6*z - 4. Let j(k) = -594*k**2 - 9*k - 6. Let t(p) = -2*j(p) + 3*x(p). What is n(t(u))?\nAnswer: -698562*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/612 and 35\/12554676.\nAnswer: 213429492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 2*s**2 - 4*s**2 + 5*s**2 + (20*s - 2*s + 9*s)*(0*s**2 + 4*s**2 - 5*s**2) as x + d*s**3 + w*s + f*s**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38828?\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 30 + -37 + 15 + 2 + 0\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1 + 468 + (-49)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2672 = 9*f - 5*f, -4*f + 3*j + 2672 = 0. What are the prime factors of f?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 4) in base 3?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7275 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 + (1 - -20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 4, l: 7, g: 1, t: 1, a: 5}. What is prob of sequence gpa?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 473, 1024, 1583, 2156, 2749, 3368, 4019, 4708?\n\"Answer: t**3 - 2*t**2 + 550*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 15 + 6 = 0. Let k = x - -12. Solve -p + k = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660600, -1321218, -1981852, -2642502?\nAnswer: -3303168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (6\/(-1) - (-15 - -5))*7364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 2*4*(sqrt(3) + 0 + sqrt(3) + -1))**2 + -2.\nAnswer: -352*sqrt(3) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -368*l**4 + 362*l?\nAnswer: -4416*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*w + 6221726 - 6221191 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from aausvvwwww.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -3.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8793552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**3 - 31*t**2 + 6568*t - 13911908.\nAnswer: 15*t**2 - 62*t + 6568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66, -263, -566, -975, -1490, -2111, -2838?\n\"Answer: -53*g**2 - 38*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 308 = -18*x. Calculate the lowest common multiple of x and 352.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.42 and -2.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -s, 5*s + 0*r = -2*r - 4. Suppose 332 = 2*z + 3*p, s = -z + 4*z - 4*p - 498. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t + 7. Let j(c) = -5*c - 3. Let f(m) = -7*j(m) - 4*x(m). Let z be (-6)\/(-33) + 237\/(-33). Let o be f(z). Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 59, 86?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 4*l - 6. Let o = 10 + -55. Let m be 2\/(-8) - o\/(-12). Determine x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, u: 7}. Give prob of sequence uk.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 285?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-77 - (33 + -37) - -45)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*s**4 - 6\/5*s**2 + 3\/5*s**5 - 6\/5*s**3 + 3\/5*s + 3\/5.\nAnswer: 3*(s - 1)**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3086.88 to the nearest ten.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 = -3*t. Let d = -4463\/5 + 892. What is the nearest to t in d, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 p when three letters picked without replacement from aasocaashapocp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 - 6*m + 9. Let d be x(-7). Let f(o) = -1 + 1 - d - o + 0. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75125*c**3*f*u + 6*c**3*f + 18*c**2*f*u + 104*c**2*f + 60*f wrt c.\nAnswer: -450750*f*u + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddb. What is prob of sequence db?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539648741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*o**2 - 844*o**2 + 286*o**2 + 273*o**2.\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(-42)\/4*(-3)\/(-18).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/13)\/d)\/(d**(2\/21)\/d))\/(d*d**(-2\/3)*d\/(d*d**7*d)))**(2\/11) assuming d is positive.\nAnswer: d**(1350\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 24, -1\/7, -4, -8.84?\nAnswer: -8.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by -48\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268941 by -89647.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1544193 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 13 - 61 = -7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3343*z - 53374. Give i(-16).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 187*f**5\/60 - f**4\/24 + 25*f**3\/6 + 3*f**2. Find the second derivative of w(p) wrt p.\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2*t - t)*(-5 + 5 + 2 - 3 + 7 - 2 + (-3 - 2 + 3)*(-1 - 3 + 3) + 0 - 1 + 0 - 13995 - 13054 + 23018) as l + m*t and give m.\nAnswer: -12078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 263*i = -264*i - 19, -2 = -2*i. Solve -20*a - 72 = n*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*l - 18 = 0, -2*l - 3*l - 15 = -5*q. Let f be (-5)\/(4 - q) - -198. Let d = 342 - f. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 - 13 = 0. Let s = -11751 - -11753. Solve -s = 5*z + v, -3*z = -2*z + h*v - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407913?\nAnswer: 13, 108301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5483322 and 3852.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r**2\/5 - 16*r\/5 = 0. Calculate r.\nAnswer: -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 905*c - 4137. Determine h(5).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/85047 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -h - 307, -5*g + 56 = -4*g - 2*h. Let y = 96 - g. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*n + 27*n + 20*n + 85*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 k when three letters picked without replacement from zffgyzkfmkffmzkfzk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62186638 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 180\/421?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 402.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155296402*u**4 - 1379434*u**2 - 107?\nAnswer: 3727113648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 680 + -2241. Let q = k + 6147\/4. What is the common denominator of q and -39\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37034592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1066, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372699827?\nAnswer: 3833, 619019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3815 - -4027. Which is bigger: 206 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(200) + sqrt(200))**2.\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 - -263 - (27 - -1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + o)*(-14 - 26 + 21)*(-3*o**2 - 2 + 2 - 1).\nAnswer: -114*o**3 - 38*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/30 + 19*k**4\/24 + 18*k**2. What is the second derivative of c(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 3*h + 3 - 8.\nAnswer: -3*h + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1834028952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783 divided by -261.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -4.4, -546.6?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-15) + -6)*(-10)\/4. Sort p, -4, -5, -2 in increasing order.\nAnswer: -5, -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000981681 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1894881*p - 1894884*p - 2.\nAnswer: -3*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (60\/80)\/((-51)\/8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, -494, -3, -6, -1 in ascending order.\nAnswer: -494, -113, -6, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -19*b - 169. Let d be x(-9). Solve 32 = -2*f + 2*o + 28, -f + 13 = d*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 258, 12 in decreasing order.\nAnswer: 258, 35, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10511235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0. Let b = -8 - -15. Let n(j) = -j**2 + 6*j + 6. Let g be n(b). Sort g, h, -0.3 in descending order.\nAnswer: h, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18355655 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 60 + 0 = 0. Solve -5*k - k + l = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158373 - 2?\nAnswer: 158371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 48*d**2 - 10965*d + 37103. What is u(225)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6721*c. Let f(z) = 36*z**2. Calculate f(r(n)).\nAnswer: 1626186276*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1 (c) -4\/5 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10026 is divided by 2977?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 113 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112*(46\/989 - 1500\/4515)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.22, -3, -5\/79, -2, -28?\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (14 - -5) - -8 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(11)) + 2.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 143*g**3. Let t(m) = 18*m**3. Suppose 5*d - 83 = -4*v, -5*v + 5*d - 68 = -228. Let s be (11 + v\/(-2))*(-78)\/5. Determine s*t(b) - 5*c(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2 and 145\/1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10001233310 + 3?\nAnswer: -10001233301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1753383 divided by -20\nAnswer: 1753383\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*d + 56034, -2*d = -31*z + 35*z - 28038. Does 228 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.9. Let k = 10\/19 - -151\/38. Let y = k + -5. What is the closest to y in -5, -5\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 (base 13) in base 6?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96674?\nAnswer: 2, 48337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1\/12)\/((-64)\/144)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4224630 and 954?\nAnswer: 12673890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 249 = 245 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 7:19 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6581, -42049, -135299, -315221, -610705, -1050641, -1663919?\n\"Answer: -4815*m**3 - m**2 - 1760*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o - 3. Let s be b(8). Suppose -s*y + 19 = -j, -3*j + 4 = 1. Suppose -5*t = -3*t + y*g + 8, 32 = 2*t - 4*g. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**3*z**2 - 4*u**3*z - 1105537*u**3 + 4*u**2*z**2 + 799913*u*z**2 + 15*z**2 wrt u?\nAnswer: 18*z**2 - 24*z - 6633222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. What is the remainder when r + (0 - 19)\/(-1) is divided by 112\/10 - (-32)\/40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(300)*-4 - sqrt(300).\nAnswer: -130*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - t = -108, 5*p = 3*t + 16 + 100. Calculate the least common multiple of p and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -20.1, 5\/6, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 25. Calculate the remainder when 50 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -381980, -763667, -1145372, -1527095?\n\"Answer: -9*i**2 - 381660*i - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + p - 69 = 0, 2*g + 1982114*p = 1982117*p - 168 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 1 - 5. Let l be (-2)\/(-8) - (-2)\/(-24). Which is the closest to n? (a) -0.5 (b) -1\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3057277, -3057273, -3057267, -3057259, -3057249, -3057237?\nAnswer: -3057223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = 0, 3*h + 4*t - 23 - 8 = 0. Let b = h + -3. Let k(j) be the second derivative of j**4\/6 - j**3\/3 - 87*j + 3. Give k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.44 - 27. Let n = 0.04 - t. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p - 1. What is q(6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419085.\nAnswer: 5, 283817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332858 is divided by 14462.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 16*o + 44. What is the second derivative of 9*a**4 - 17*a**4 - o*a + 17*a**4 wrt a?\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 24. Let m be j(24). Suppose m = -7*o + 9*o + o. Solve 3*t = -y - 7, y = 5*t - o*y + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9*k + 6*k = -2788, 13959 = 5*m - 4*k. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from mmmazuammgkammma.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) + sqrt(196)\/sqrt(7)) + 5)**2*1.\nAnswer: 10*sqrt(5)\/3 + 230\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.325 - 1.30274. Round r to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 0.2. Let i = -531 - -531. Let o(y) = y**3 - 6*y**2 + 6*y - 2. Let g be o(5). Which is the nearest to n? (a) i (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 - 2*k + k**3 - 7*k + 12 - 6 + 4*k. Calculate the remainder when 40 is divided by g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -256585 by -7331.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 7*x - 6. Let s be c(-4). Let r be (2\/5)\/((-8)\/s). Let z = 82 - 84. Which is bigger: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 449*p - 215050. Give d(479).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -489270?\nAnswer: -141888.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1678*4.\nAnswer: 6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 457210479 and 5127.\nAnswer: 5127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*sqrt(272) + -4) + 1.\nAnswer: 25 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251212 is divided by 2634.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387323, -776631, -1165929, -1555211, -1944471, -2333703, -2722901?\nAnswer: -3112059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 13*m**2 - 34. Let i be z(6). Suppose -4*r + 5*v - 23 = 0, -i*r = 78*v - 82*v + 16. Put -3, -5, 29, r in decreasing order.\nAnswer: 29, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 460, 2 in increasing order.\nAnswer: -15, 1, 2, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1206 and 13802.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*r**4 - 3\/2 - 3\/4*r**3 + 7\/4*r + 3\/4*r**2.\nAnswer: -(r - 1)**2*(r + 2)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15*p - 24. Calculate o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 98. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3742882 and 1020786.\nAnswer: 11228646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/24 + 7*w**3\/6 - 2*w**2 + 15. Let b be q(-5). Solve 3 = v + 2*g, -v = -2*g - b*g + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**2\/2 - 25*q + 5. Let w(r) = 2*r. Calculate w(g(p)).\nAnswer: -6*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/42 + -3\/7. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513207639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110 divided by 2.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:13 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.3112ml in litres?\nAnswer: 0.5123112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 140 = -80. Suppose 44 = 2*b + 2*c, -147 = -4*b - 5*c - o. Let q = b + -26. Is -6 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18 - (3450\/(-27))\/(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f - 5. Suppose -5*b - 6*h - 29 = -0*h, -3*b - 18 = 3*h. Let t(r) be the second derivative of -2*r**3\/3 - r**2 - 33*r. What is b*t(q) + 3*d(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 = 0, -29*v + 25*v - 2*n + 6 = 0. Solve -8*g + 4*g = 2*w - 8, v*w = 5*g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -164. Let p = 197\/4 + o. Determine t so that -p*t**2 + 3\/4*t + 1\/2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 465771, 1862959, 4191605, 7451709, 11643271, 16766291?\n\"Answer: 465729*y**2 + y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from {p: 5, l: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g = -55*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 11. Let u(t) = -5*t + 52. Give 6*h(q) - 2*u(q).\nAnswer: 4*q - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 35, 53, 71, 89?\n\"Answer: 18*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 0*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + r - 1 = 0, -r + 212 = -2*p + 217 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0607442 times -0.2\nAnswer: -0.01214884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(11) + sqrt(11)*1)*-3)**2 + 1.\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g**3 - 493*g + 150*g + 62*g**3 - 24*g**3.\nAnswer: 2*g**3 - 343*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39431 - 42*n - 78893 + 15*n + 39417.\nAnswer: -27*n - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 10*z**2 + 7*z - 13. Let r be w(-12). Suppose 6*o - r = 223. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m + 4*l - 296, -604 = -4*m - 2*l. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 18*o**2 - 21*o - 31. Let d be q(-8). What are the prime factors of 1714\/2 + 5\/(d\/(-9))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20a6 - -4?\nAnswer: -20a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54597, 109196, 163795, 218394, 272993?\nAnswer: 327592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + c = -c - 49501 + 49532, 2*c - 35 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 - 7*k + 8. Let s be c(-6). Let z = -12 + 13. Let i = s - z. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 7*y**6\/3 - 12*y**5 + y**4\/2 + 20*y**3 - 8*y**2 + 30. Find b such that l(b) = 0.\nAnswer: -1, 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*28331496\nAnswer: -5666299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 4 - 2 + 0 - 3*f**2 + f**4 - f**3 as i*f**4 + h*f + r*f**2 + l + c*f**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18343261571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - 7*g**2 + 7*g**2 + 8*g**2 - 2)*(-18*g + 71 - 71).\nAnswer: -36*g**5 - 144*g**3 + 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {j: 11, x: 4, g: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17535 is divided by 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 127*o - 20. Let i be k(-63). Do 36 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5002669, 5002665, 5002659, 5002651?\nAnswer: 5002641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -2061 (c) 2.592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-3)\/(-1)*8\/24). Suppose -47 = -3*d - 4*p, s*d - d - p - 4 = 0. Solve -2*k + d = 5*r - 1, -2*k = r + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in -0.4, 13723, -2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1816 - -73?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/27246 and -25\/40869.\nAnswer: 81738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(2156) + 1 + sqrt(2156) + 0 - ((3 + sqrt(2156)*-2 - sqrt(2156)) + sqrt(2156) + sqrt(2156))*-2)*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/217 - (-60)\/(-210). Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*q**2*x + 19*q**2 - 5011*x**4 + 7505 wrt x.\nAnswer: -6*q**2 - 20044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 + -2.13. Sort 4, -5, r in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6677267 is divided by 4605?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/11 - 973740*a\/11 + 2921202\/11 = 0?\nAnswer: 3, 486867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 200\/3, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, 0.3, -0.3, 2\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*v - v + 41 = 0, 0 = -3*v. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/4 (c) -49 (d) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3582613 (base 9) in base 15?\nAnswer: -28600c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000051281 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73109 or -73111?\nAnswer: -73111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -44*f + 8341*f**2 - f**3 + 44 - 63*f**3 - 57*f**3 - 4209*f**2 - 4176*f**2. Let j(c) = 8*c**3 + 3*c**2 + 3*c - 3. What is -44*j(l) - 3*u(l)?\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b*c + 255*b + 573399*c + 7362 wrt c?\nAnswer: -8*b + 573399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w - 5*m = -3, -2*w - m + 7 = 0. Suppose -3*s = -s - w. Solve 0 = -5*v + s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72b (base 13) to base 15\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgg when three letters picked without replacement from {i: 6, v: 4, g: 7}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 24. Let j be k(10). Let a be 0 - (-9)\/(-3 + j). Solve -10*o + 21 = -a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 10, 46, 106, 196?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1608 is divided by 177.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 - r**3\/6 - r**2\/2 - 4*r + 19. Let o(w) = -4*w**2 - 4*w - 3. Determine -7*a(z) + 2*o(z).\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 2133?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (5 - (-8 - (14 - 22))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19751 = -526*h - 184*h + 16459 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179299819.\nAnswer: 179299819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 65. What is d(-14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -240155522 (base 6) to base 12\nAnswer: -1608ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 101669, 101800, 101931, 102062, 102193, 102324?\n\"Answer: 131*n + 101538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32102 is divided by 352.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, m: 1, p: 1, w: 1, z: 2}. Give prob of sequence wmj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:33 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-108)*9)\/(2 + (-4 - 1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 32) + (0 - 4). Let w be (-12)\/j + 33\/7. Suppose -13*s = -14*s + w. Solve s = -t + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -64*x + 554. Calculate k(6).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 18*q + 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, -3, -239, 36 in decreasing order.\nAnswer: 36, -3, -4, -13, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t + 3. Let c(s) = -s - 1. Let g(h) = -h**3 + 11*h**2 - 2*h - 22. Let y(d) = 5*c(d) + g(d). Let n be y(9). Let w be n\/(-16)*12\/(-9). What is v(w)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - 2*f. Suppose n - 7 = -f. Let p = 5 + -2. What is the remainder when n is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - -5) - (7 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 618524075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((10\/(-3))\/(4\/(-3))). Factor 676*p**4 - 807*p**3 - 532*p**3 + 224*p**w - 16*p + 455*p**3.\nAnswer: 4*p*(p - 1)*(13*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 19665125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -62*h - 2. Let x(c) = 19*c + 140. Let q(j) = 75*j + 525. Let d(k) = 4*q(k) - 15*x(k). Give d(w(f)).\nAnswer: -930*f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/5 - (-4 + 0). Suppose -5*v + 5*l + 190 = 0, s = 2*l - l. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5595\/1680)\/((-12)\/14)*4\/10.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6807 and 53750341?\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4518 or -4520?\nAnswer: -4520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 7. Let z be 46*2\/24*6. Let k = 27 - z. Suppose 0 = 3*w + 3*m + 9, 5*w = -k*m + 3*m - 31. Let x(f) = 6*f + 5. Give w*x(d) + 5*q(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + w**2 + w. Let v(x) = -20*x**3 + 48*x**2 + 108*x + 64. Let j(u) = 12*n(u) - v(u). Factor j(o).\nAnswer: -4*(o + 1)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 28 = 5*o - 3*t, 0 = -4*o + 5*t - 98. Suppose -5*x = 5*y - 70 + 200, 4*x = -5*y - 109. Are o and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j**2 - 279 - 156 - 144 + 733 - 154.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -556, 0.2905, 1\/4, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.2905, 1\/4, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*r - 59 + 51 = 0, -2*f + 4*r - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -229\/365820 and -121\/372?\nAnswer: 11340420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2))\/(49\/(-98)). Which is the biggest value? (a) -3\/4 (b) 2\/5 (c) -2\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from xhxooookovhaooa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -212\/9 less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 6)*(-2*y + 9 - 9)*(6*y**2 + y**3 - 6*y**2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -150*u**2 + 156*u - 156. Let n(b) = -2*b**2 + 2*b - 2. Let g(c) = 468*n(c) - 6*w(c). Let h(a) = 38*a**2. What is h(g(t))?\nAnswer: 49248*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.161 + -11.33. Round w to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/216 and -20\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*b - 6 = 0, 0 = -2*h + 5*b + 12 - 6. Factor 80*m - 936*m**2 - 718*m**3 + 1328*m**h - 2 + 1982*m**3.\nAnswer: 2*(4*m - 1)*(18*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17779 - 2515 = -8*s. Let w be (-14 + (-26760)\/s)*(-18)\/(-20). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -21, -4 in descending order.\nAnswer: -4, -5, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 53. What is the closest to 3 in 2\/7, g, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 28*q**3 + 130*q**2 - 248*q + 168.\nAnswer: 2*(q - 7)*(q - 3)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21\/16 (b) 28 (c) 0.5 (d) -28 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20292217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 10 = z, 8 = g - 3*z + 26 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0912 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3855 - 0.4.\nAnswer: -3855.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {f: 1, a: 1, t: 1, b: 1, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/81 and 149\/108?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by 33?\nAnswer: 298\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1\/4, 6.5093, 4?\nAnswer: 6.5093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = -4*u, 40 = 4*a - 7*u + 11*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 294970956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2072234 - 4*l + 2*l + l - 454330.\nAnswer: -l - 2526564","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*k - 6678 = 65*k - 24*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5812 = -105*x + 744*x + 11441 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o, y + 5*o + 6 + 4 = 0. Suppose -20*a + 5 + 15 = y. Solve 4*k = -a - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let w(d) be the first derivative of 0*d**2 + 3 + 0*d + 7\/3*d**3. Give o(w(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672728773 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -3 - (11 + -8 - (6 - -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 16*y**2 + 32*y.\nAnswer: 2*y*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15 = u, -2*t + 9*u = 5*u - 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 168, 379, 600, 831?\n\"Answer: 5*b**2 + 196*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/24)\/(70\/112*(-17)\/((-4165)\/(-42)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57366 - 109713\/2. Let y = -2570 + x. Let s = y - -1577\/26. Which is the smallest value? (a) -4\/5 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91416 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/1348052 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a. Let u(v) = 2*v**3 - v**2 + 11*v. Let q = 141 - 127. Let l(z) = q*w(z) + 6*u(z). Suppose l(h) = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*s = 3396 + 2635 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 4*k + 115. Determine p(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93124?\nAnswer: 2, 31, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21640*w + 2285*w + 36463*w in the form f + v*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 24. Is -2 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0022 * 1806169.\nAnswer: -3973.5718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {u: 2, l: 4, m: 2, x: 5}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) -0.2 (b) 2 (c) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 16*n**2 - 3*n - 39. Let k(y) = y**2 + 7*y - 6. Let r be k(-5). What is the least common multiple of 12 and d(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 21. Suppose 2*o + 5*b + 35 = 0, -3*b - 4 + 1 = 0. Let k be a(o). Suppose -k*r - 401 = 67. Round r to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v + 3. Let i(m) = -m**3 - 5*m + 4. Determine 4*i(z) - 5*x(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -312 - -315. Which is the third smallest value? (a) 0.3 (b) d (c) -4\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17198 - -29569. List the prime factors of g.\nAnswer: 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88)*1*-2 - sqrt(88) - sqrt(88)))*-2)\/(sqrt(32)\/sqrt(36) + (sqrt(16)*-2)\/sqrt(2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21 - 46*w - 48*w + 30*w + 14 wrt w.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9 + 10.9. Let r = t - -11. Let f = 16.096 - r. Round f to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -171829\/28116 - -1\/3124. Let r(p) = -11*p. Calculate the common denominator of r(3) and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156893729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/9)\/16*(-364)\/13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76.7 - -77. Put -20, f, 3 in decreasing order.\nAnswer: 3, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 1. Let w be (-1 + 4)\/(3\/6). Suppose 0*i - w = -3*i. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13*l. Let i(z) = -16758 - 9*z**2 + 10*z**2 + 10*z + 16758. Determine q(i(b)).\nAnswer: 13*b**2 + 130*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 r when three letters picked without replacement from {m: 2, r: 1, a: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -867350 less than -867172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 19 = -1. Let z be q\/(-8) - (-14)\/4. Let b be 2 - (0\/3 - 1). Solve 3*g + b = -3*i, -4*g - z*i + 6 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -23 - 2. Let o(m) = -m**2 + 10*m - 3. What is the least common multiple of 38\/9 - (14 + (-992)\/72) and o(p)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 112175*k**2 + 2*k. Let g(x) = 2*x. What is g(n(f))?\nAnswer: 224350*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 426 = 79. Suppose -p + 21 = -5*k. Suppose 815 - 63 = k*w. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114225709*u**3*y**2 - u**3*y + 203*u**2*y + 38*u - y**2 - 2*y - 124 wrt y?\nAnswer: 228451418*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {h: 3, y: 13, w: 2, l: 2}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -792 (b) 39 (c) -0.3 (d) 4\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 1 - 18\/(-1). Suppose -f - 5 = -a, -4*f + 5*a - b - 3 = 0. Let n be 2*-1*(-5)\/f. Let y(c) = c**3 + 5*c**2 + 6. What is y(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -125775766.\nAnswer: -125775770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1\/2, -203, 102, 2\/5 in ascending order.\nAnswer: -203, -1\/2, -0.07, 2\/5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 7*t - 5*a + 25, -14 = -4*t - 2*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 56 + 124. Let v be 56\/10 - z\/(-60). Suppose -11*g = -4*y - 9*g + 338, -g + v = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9749 divided by -73.\nAnswer: -9749\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324676\/159 + 2042. Let x be (11\/(-12) - (-6)\/8)\/1. Is x greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:59 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -39.6397 (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1667365 (base 8) to base 7\nAnswer: -4066166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/24 + v**3\/6 + 163*v**2. Let w(d) = -2*d + 3. Let a be w(7). Let f(y) = 2 + 3 + 5*y + 1. Determine a*t(g) + 2*f(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.917123kg to milligrams.\nAnswer: 2917123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z**3 + 9*z**2 + 141*z + 577. Give f(-5).\nAnswer: 3722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 15*l + 4*l**2 - 5*l**2 + 35*l. Let f be q(8). Solve -i = -f*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3 = 83 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - c**3 + 18 - 16.\nAnswer: -7*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.19338 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpvv when four letters picked without replacement from nnnvpnqvnnpv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1137193 or -1137180?\nAnswer: -1137180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -2\/5 (c) 4 (d) -23.2 (e) 0.1 (f) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:14 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)*(l\/(l*l*l\/l**8))\/l)\/(l**(-1))**(-50))\/((l**2)**(11\/3)*l\/l**(-8)*l**2*l) assuming l is positive.\nAnswer: l**(-769\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2430413244 (base 5) to base 10\nAnswer: 5716699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 242 + (5 - (-6 + -4)). Solve 257 - o = -8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.419068us in nanoseconds?\nAnswer: 5419.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9) + -1)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 24*k - 117. Let s be w(-17). Find the third derivative of -235*m**6 - 20*m**6 + 179*m**2 + 125*m**2 - 70*m**s wrt m.\nAnswer: -30600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282980 is divided by 110?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 3. Let s be f(-3). Let w be (28\/(-16))\/(-7) - 17\/4. Let a be 24 + w\/((-12)\/s). Calculate the greatest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/12 + 2*q**2. Let m(s) be the first derivative of 0*s - 8 + 9\/2*s**2. Determine l(m(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/5 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**7\/70 + k**4\/4 + 5*k**3\/3 - 5. Let v(w) be the third derivative of p(w). Differentiate v(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w**2 + 12*w - 29. List the prime factors of j(4).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 51*b**3 - 3*b + 1. Let c be v(1). Let p = c - 44. Sort 20, -2, p.\nAnswer: -2, p, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/184 and -55\/276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 4*c + 0*c**2 + 1 - 3*c. Let l(p) be the first derivative of 4*p**3\/3 + 3*p**2\/2 + 3*p + 152. Calculate 2*l(i) - 6*z(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2044 = 12*y - 19*y. Suppose 25*m - 8 = y. What is the third biggest value in 1, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 27. Solve -5*q + 26 = p*x - q, -4*x = q - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 2\/5607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/60 - 3*q**4\/8 + 8*q**3\/3 + 3*q**2. Let j be n(7). Which is the nearest to j? (a) 0.2 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 + 10 + 1\/2*x.\nAnswer: -(x - 5)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(7\/5)*o*o)\/o*o\/(o**(1\/9)\/o) assuming o is positive.\nAnswer: o**(238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:13 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.6. Let j = 66 + -62. Suppose 3*y + 2*h + 13 = 2, j*y = -4*h - 12. Which is the nearest to 0.1? (a) 0.1 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 48 = -3*y - 4*f, 42*y - 3*f + 5*f = 2568 - 2592 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 45*v**2 + 17*v**3 - 49*v**3 + 15*v**3.\nAnswer: -27*v**3 + 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -723 from 4214.79.\nAnswer: 4937.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 1381*p**2\/4 - 1383*p\/2.\nAnswer: p*(p - 2)*(p + 1383)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + (sqrt(1539) - (4 + sqrt(1539)*-2 - sqrt(1539)) - -3*2*sqrt(1539))))**2.\nAnswer: 1620*sqrt(19) + 1385109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**3 + 27*r - 27*r.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714472 + -60046.\nAnswer: 1654426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 422.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2820.459 decades to centuries.\nAnswer: 282.0459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 8, u: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(95)*1 - ((sqrt(95) + sqrt(95) + sqrt(95)*-1)*5 - sqrt(95)))*-1)\/((sqrt(220)*-2)\/((-2*sqrt(132))\/sqrt(12)))*4.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40857, 40947, 41037, 41127, 41217?\n\"Answer: 90*v + 40767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 5*f**2 + f**3)*((14*f - 30*f - 104*f)*(1 - 1 - 3*f) + 20 - 20 - 5*f**2).\nAnswer: 355*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 2*t + 18 = 0, -17 = 5*l + 3*t. Let w = 8 - l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946464.9 millennia in months?\nAnswer: 11357578800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53524 rounded to 2 dps?\nAnswer: -3.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 94*h**3 + 1071*h**2 - 3886*h + 2720 = 0. What is h?\nAnswer: -80, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f - f)*(3*f**4 - 4*f**4 - f**4) + (-f**2 - 2*f**2 + 5*f**2)*(3*f**2 - 3*f**2 - 9*f**3).\nAnswer: -22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*y - 30. Suppose -12 = -4*l + 4*f, -3*l + y = -f + 5. Suppose 3*d + d = l*t - 7527, -1501 = -t + 3*d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -0.133, 14\/9?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (46\/(-20))\/23 - (-3789768)\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3766, -12.\nAnswer: -50, -12, 3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l - 321. What is v(-21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*z - 20 + 61, -5*z + 39 = o. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/300*-5 + 1736\/9440?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2129 = -7*g + 265. Suppose 6*n + 1368 = 4*l + 3*n, -l + g = 3*n. What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/7 (b) -24 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**2 - 139*x - 87. Give n(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -88. Sort s, 6, 2, 4 in descending order.\nAnswer: 6, 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 28\/13, -24\/17, 5?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101110 - -10?\nAnswer: -110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861*y**2 + 435*y**2 + 425*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5792c + -3?\nAnswer: -57931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o + 1. Let s(n) = -24*n + 1. Give -4*s(d) + 3*v(d).\nAnswer: 33*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034056582 to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + 23 + -106 + -82.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -24*l**2. Let o(w) be the second derivative of 0 + 0*w**2 + 0*w**3 + 46*w - 5\/12*w**4. What is p(o(g))?\nAnswer: -600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5152*c**2*h**2 + 122*c**2 + 3*c*h**2 - 103*c + 2756 wrt c?\nAnswer: -10304*h**2 + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + p**2. Let h(m) = -4*m**3 + 4*m**2. What is h(w) - 4*z(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 15*j**2 + 24*j + 21. Let h be k(-9). Let q = h - 75. Does 37 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148.8 + -37.2. Let q = o + 185.88. Is q bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 24*k**4 + 39*k**3 + 18*k**2.\nAnswer: 3*k**2*(k + 1)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/125*(-11 + 10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73755860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 j when three letters picked without replacement from hbrwrxhhjrx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59387.15nm in meters?\nAnswer: 0.00005938715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + v = 3*n - 17, -5*n + 23 = -2*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 54*z**3 - z**2 + 2*z - 1. Let j be n(1). Suppose -2*v + 31 = 2*h - h, 5*v - 80 = -2*h. Let o = j + v. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/4 of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -18. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1900)*-5 + -3*(-5 + (-1 + sqrt(19))**2).\nAnswer: -45 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/17, -4, 0.4, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**2 + 462*c - 728*c + 11*c**3 - 10*c**2 - 510*c wrt c.\nAnswer: 66*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83248 divided by 5?\nAnswer: -83248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2789*r + 3 - 29*r**2 - 2789*r)*(14*r - 3 + 3).\nAnswer: -406*r**3 + 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -d0?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 639887104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3433423629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 minus -3024.12126?\nAnswer: 3023.74126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 231 in ascending order.\nAnswer: 3, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssrartas. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135672 to the power of 1\/2, to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from ebeeeehheeaeabeha.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3.7. Let v = i + -5.3. Suppose -16*s - 180 = -s. Are s and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -1. Let s = 4.69003 + 0.30997. What is the closest to -2\/9 in -0.5, s, -11, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-6\/5))**(-1\/8)*((c*c*c\/((c**(1\/4)*c)\/c)*c)**(-3\/13))**36 assuming c is positive.\nAnswer: c**(-4063\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pwpww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + (12 - 56 - (-53 - -30))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 15. Let t be c(-3). Suppose -5*p = -t - 93. Let n = -2 - -13. What is the remainder when p is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1657 divide 94324066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*c = -304*c - 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 10:15 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2547, -5107, -7677, -10257?\nAnswer: -12847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/(f\/(f**(-1\/18)\/f))*f**(2\/7)\/f**(3\/5) assuming f is positive.\nAnswer: f**(4177\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose 4*h = -r - 6, -5*r + j*h + 80 = h. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -6 + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-17) + (-14035)\/(-85).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:10 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 1. Let n = -3.03 - -0.03. Let m = -0.2 - -2.2. Which is the nearest to x? (a) -0.1 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 + 8121*u + 464184 = 0. What is u?\nAnswer: -56, 2763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*t - n, 14*t + 4*n + 5 = 19*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 683 - 663.41. Let t = 0.29 - y. Let r = -19 - t. Which is the third biggest value? (a) 2 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1890\/7349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47)\/(-22) + 39\/(-286). Solve 5*z - z - 14 = -q*t, 2*z - t - 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - 7 - -19)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.077 + -0.033. Let i = f + 25.11. Let q = i - 22. What is the smallest value in -0.1, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2106235 = -5*l + 6*i, -5*i - 3233950 = -7*l - 285238. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 1\/4, 2\/13, -23, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39577405?\nAnswer: 5, 7, 1130783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 1177 (b) -0.2 (c) -16.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1239)\/252 + (-10)\/(-2). Let b(q) be the second derivative of z*q**4 + 0*q**2 + 0*q**3 + 0 - 7*q. Let u(p) = -8*p**2. Calculate b(u(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + u - 357, 3*u = w + u - 67. Let z = 106 - w. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -3. Let m = -9 + h. Solve -d - d - m*s = -20, -5*s + 30 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*21\/(-4)*(-40)\/30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53018070 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151*t**2 - 369*t + 2.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 6*y - 8. Let d be z(5). Suppose -3 = 11*t - d*t. Suppose 12*v**2 + 131 - 131 + t*v**5 + 18*v**4 + 27*v**3 = 0. What is v?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zkkzzzkzzkzzzzkzzkz?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2. Let c(m) = -47*m. Determine g(c(r)).\nAnswer: -8836*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/4 + 7*f**3\/4 + 11*f**2\/4 - 7*f\/4 - 3 = 0 for f.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 1, l: 1, k: 1, a: 1, j: 2}. What is prob of sequence wwal?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18925 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50281 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 y be (-1 - -1) + -5 + 2. What are the prime factors of (0 + y)*14\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3483*j + 129175 = -34526 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**20\/d)\/d)\/d**(-20) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2)**2 + sqrt(396)*1.\nAnswer: 26*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40620 and 9960.\nAnswer: 6742920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwslollollsco. What is prob of sequence wcso?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91313 and 2057654?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54583288 + -3065111\nAnswer: 51518177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (366 + 180 + 167)*(6*m - 2*m - 3*m).\nAnswer: 713*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 26*z**3 - 123 + 27 + 31*z**2 - 14*z**3 + 6*z - 13*z**3. List the prime factors of h(30).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - r + 13 = 2*j, -5*j + 5*r = -45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/8 + 2 - 169\/52. Which is the nearest to -0.044? (a) -0.3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:01 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4606 and 75\/5264.\nAnswer: 36848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*t**4*x**2 + 2*t**4 - 3*t**3*x**2 + 36*t**2*x**2 wrt t.\nAnswer: -288*t*x**2 + 48*t - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010011100101 + -1110?\nAnswer: -111010011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 14) + 10 + 48?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 10*v + 11. Calculate n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = p + 2*p + 38, 17 = -2*p + 3*w. Let u(h) = h**3 + 15*h**2 - 19*h - 10. Calculate the remainder when 72 is divided by u(p).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Let y(m) = m - 1. Let z(k) = -6*k + 8. Let g(w) = -5*y(w) - z(w). Let u be g(5). Sort 0, c, u in decreasing order.\nAnswer: c, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875856952 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110001101111 (base 2) to base 5\nAnswer: 100213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 104154 = -104154. Let d be (6\/(-5))\/((-2)\/(-5)). Put d, 3, m, 10 in descending order.\nAnswer: 10, 3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-92)\/230)\/(4\/25*30\/(-36)). Solve -9 = 4*b + f, -z*b - f - 4*f = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -22120?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhixhhzhhhzhchhhhc. Give prob of sequence czi.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -11. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 43 = -q - 3*p, -19 = 3*q + 5*p. Calculate the remainder when 5\/(-20) - 106\/q is divided by 102\/14 + (-2)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -0.7, 3 in decreasing order.\nAnswer: 4, 3, 1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let i(t) = 5*t**2 + 1. Let h be i(1). Suppose -q + h + 17 = u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3248)\/(-1218))\/((8\/(-8))\/(3\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4448*r + 4447*r - r**2 + 4 - 8893*r + 1548*r**3 - 3 in the form b + m*r**3 + g*r**2 + t*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033053 (base 6) in base 5?\nAnswer: -3114400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/217 and 173\/168.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -3*t**4 + 3*t. Let o be a(1). What is the remainder when ((-20)\/6)\/(4\/o) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 20*p - 30. Find the common denominator of -38*p\/174*(-115)\/(-920) and -103\/20.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1001*p + 36. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -8\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 772111 = 3*x, 0*s - 154413 = -s - 4*x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let l = 2.2 - 2.5. Let v = 29 - 201\/7. Sort v, o, l in ascending order.\nAnswer: o, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -33015?\nAnswer: -33016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:54 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r. Let b(c) be the third derivative of 0*c + 0 - 7*c**2 + 0*c**3 + 1\/24*c**4. What is -36*b(s) - 3*x(s)?\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882436121 to the power of 1\/3, to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184870925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470*x + 1475*x - 6*v - 25 = 0, 0 = -2*x - 14*v + 92 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21453 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, u: 3}. What is prob of picking 3 u and 1 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 844076\/3436025 - 3\/20575. Calculate the common denominator of w and 1\/12.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:01 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 - 12*l + 40 - 6 - 6 + 3*l**2.\nAnswer: 3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -25.1.\nAnswer: -10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -1601486\nAnswer: -32029.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 4. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000636403408 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81772814 to the nearest integer?\nAnswer: 9043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, v: 3, o: 2, k: 3, r: 2, z: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:25 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1216 and 192?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**9 assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1110010?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1581*s**2\/7 + 89976282*s\/7 - 512199\/7.\nAnswer: 3*(s + 56911)*(527*s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*p - 404*p = -337 - 1907 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 651 - 653. Let x(m) = 9*m - 10. Let s(n) = 11 - 2*n + n - 8*n. Let z(b) = u*x(b) - 3*s(b). Differentiate z(r) wrt r.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66639?\nAnswer: 3, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1604 greater than -1611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(0 + -3 - -2). Let r = -285\/7 + 41. Suppose -k - 2*g = 2 - 4, -2*g + 8 = -2*k. Which is the second biggest value? (a) k (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, q: 2, w: 2, h: 3, a: 6}. What is prob of sequence lhq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 2, m: 3, z: 9}. Give prob of picking 3 z.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(7\/(-42)). Suppose n*m - 6 = -5*d, 0*d = -2*d + 4*m - 20. Which is greater: d or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5208338?\nAnswer: -5208337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984525150?\nAnswer: 2, 3, 5, 7, 133949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 14. Let m be v(-4). Suppose 0 = -m*i + 4*i - 0*i. Which is bigger: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*n**3 + 3923004*j**2*n**2 + 2*j**2 + 40*j*n**4 + 6810*j*n**3 wrt n?\nAnswer: -6*j**2 + 960*j*n + 40860*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119\/150 - 24\/25. What is the common denominator of 73\/8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 5*p - 132, 4*p + 90 = 2*r. Let t = -58 + r. Let z = t + 31. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 + 107*m - 53. Calculate j(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12612157229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*s**4 + 1607*s**2.\nAnswer: 1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16804\/3 + 5603. Let s(n) be the second derivative of -22*n + 0*n**2 + 0*n**3 + 0 + m*n**4 - 1\/4*n**5. Factor s(o).\nAnswer: -5*o**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {f: 1, r: 5, j: 4, b: 1, c: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-6) + (-16)\/(-12). Let x(i) = -i**2 + 14*i - 16. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 - 204*q + 392 = 0?\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 32*l + 932. Let a be g(-29). Solve 4*f + 7 = 3*o, 4*f + 0 + a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 128. Let r be x\/8*(0 - -4). What is the greatest common divisor of r and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*n = -4*t, 2*n = 81*t - 78*t + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. Let w = 1637.7 - 1638. Sort a, 0.006, w in decreasing order.\nAnswer: 0.006, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 143 - 1599 = 0. What is the remainder when 114 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 43*g + 103. Calculate o(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 25. What is n(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 734132 and 8183.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 32 = 0. Which is bigger: 17 or h?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.3 - 15.9. Round v to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose -4*s + 2*s - 36 = 0. Let m = 16 + s. What is the closest to m in b, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 - 1645?\nAnswer: -16c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 35. Suppose 2*r + 5*q = 9, -4*q - j = -3*r - 8*q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from hdpkhkktcddkddt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -90. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385518 and 317982.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 3, k: 3, t: 3, f: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 13*k**2 - 2*k + 32. Let h(s) = 7*s**3 + 28*s**2 + 5*s - 69. Let b(t) = 6*h(t) + 13*i(t). Let p(x) = -x**2 - x - 1. Determine b(l) + 2*p(l).\nAnswer: 3*l**3 - 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -147, -325, -573?\n\"Answer: -35*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(5\/25). Suppose -2*m = -i*m. Suppose -2*d + 4*d - 4 = m. Is 0 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 241, 6, -6.\nAnswer: -6, 0, 5, 6, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019519297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.729 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/21 + 2*k**2\/7 - 5*k\/7 + 15. Solve y(b) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d)\/d*d*d**24*(d\/d**(-1\/10))\/(d**(-1\/4)\/d) assuming d is positive.\nAnswer: d**(1661\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 285*j - 7459. Determine b(26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-34)\/6)\/(170\/(-24) - -7). Suppose -y + 48 = n. What is y rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133524381.078 - -0.263\nAnswer: -133524380.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 2*u - 34)*(2 + 0 + 12)*(4*u**2 - 2*u**2 + 0*u**2).\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113936*i - 81 = -113945*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 5 - 1 - (-199 - -188) - 31.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 314 = -7*u + y, -u + 139 = 4*y. Let w be 3 - 1 - 434\/u. Which is the biggest value? (a) w (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, e: 3}. What is prob of picking 3 q?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2439)\/36*(-200)\/50. Solve -29 = x*y - 266*y - s, 2*s = 2*y + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 34*i**2 + 37*i - 108. What is the remainder when 88 is divided by y(33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 21. Let r = -6 + k. Let n = 2.9 - r. Which is the third smallest value? (a) n (b) 0.4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -775?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5160642319 to the nearest integer?\nAnswer: 71838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5898060 divided by -755.\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 14) to base 8\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(30\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*t + 85*t + 3600. Let l be -10*1\/(-3)*120\/t. Put -5, -3, l, -1 in descending order.\nAnswer: l, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627939341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 828 and 28.\nAnswer: 23184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 119992*f + 359994.\nAnswer: -2*(f - 3)*(f + 59999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 9*a - 15. Let c be u(6). Suppose -k = 2*g + 12, 0 = 5*k + 4*g + 15 + 15. What is the units digit of 12 + k + 2 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 29420 = -16*p. Suppose -50*j - p = -55*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 4*b + b)*(-2*b**3 - 1 + 4 + 3*b**3) in the form d*b**2 + o*b + v*b**3 + x + m*b**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let k be w\/((-5)\/(20\/36)). Which is the third biggest value? (a) k (b) 3 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111021123 (base 4) to base 16.\nAnswer: -1525b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -4) + (-1 - 1 - (10 - 20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258 + 29*t**4 + t - 520 + 263 + 2*t**2 + 0*t - 2*t**3 to q*t**2 + f*t**3 + x + a*t + n*t**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(180)*-1 - sqrt(180) - sqrt(180)) + -3 - ((sqrt(40) - sqrt(360))\/sqrt(8) - sqrt(2940)\/sqrt(12))) + -3)**2.\nAnswer: 180*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 83. Let p be 2*-1 + (2 - -1). Let w(o) = 20*o - 1. What is the remainder when h is divided by w(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:40 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 15 - 2)*(-c**2 + 0*c**2 - c**2)*(c + 2*c - 4*c) + (2*c**2 - 4*c**2 + c**2)*(-2 + 2 + c).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 4*d - 3*y, -2*d + 3*y = -6. Let n(k) = k**3 + d*k + 4 + 1 - 12*k**2 + 4*k. Let q be n(11). Are -4 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 19 = -3*p, -4*p = -25912*g + 25908*g + 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -1 - (-4 - -2). Let w(i) = 42*i**3 + i. Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/54 - 1\/9. Let i be -4*(350\/28)\/25. Suppose -2*y + 16 = 2*y. Sort v, y, i, 3.\nAnswer: i, v, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -21 - 2*u**2 + 3*u**3 - 4*u**3 + 17 - 2*u. What is the units digit of x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/18 + -4\/9. Which is the third biggest value? (a) 0.3 (b) -5 (c) 0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*r - 126 = 182*r. Solve r*n = 21*n - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -38*m + 1862. What is j(49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2925957.4 + -10.05.\nAnswer: 2925947.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8807090531 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 10*p**2 - 29*p + 4. Give q(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 39*g - 148. Give l(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 98*y + 194*y - 96*y + 9*y**2 as l + z*y + i*y**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-73)\/(-4) - 2\/8. Let t(d) = d**2 + 70*d + 1031. Let m be t(-49). Calculate the greatest common factor of m and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -99629?\nAnswer: -2\/99629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = -x. Suppose -7*k - 72 = k. Is x at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -44*u + 40*u + 5, 5*t = -15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3 + 12*h - 250. Suppose q(y) = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buubuub. Give prob of picking 2 u and 1 b.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262 - 452. Let k = i - -187. Sort 4\/5, 2\/17, 1, k.\nAnswer: k, 2\/17, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 2. Let g(d) = -11*d - 9. Let c(j) = g(j) + 2*p(j). Calculate c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 550 in 1\/6, -0.5, 6, 1\/69, 0.1, 0.8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/5)*z*z**(-2\/11)*z*z**3*z\/(z**(-4)*z) assuming z is positive.\nAnswer: z**(529\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 297\/7 - 42. Suppose 4*q + 5*u = 45, 5*q - 2*u = 13 + 2. Which is the closest to -2? (a) q (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 + 13*v**2 - 13*v - 16. Let i(l) = 2*l**3 + 6*l**2 - 6*l - 8. Let g(f) = 6*b(f) - 13*i(f). What is the first derivative of g(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 6, f: 3, h: 7}. What is prob of picking 1 s and 1 h?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 9*n - 156. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*i**3 - 3*i**2 + 1 + 4 - 3 as y + k*i**3 + h*i + c*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 313.12.\nAnswer: 317.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 3 + (sqrt(19) + sqrt(19) + -1 - sqrt(19))**2*-1.\nAnswer: -17 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2 + 16*t + 22. Let h(x) = 4*x**2 - 8*x - 11. Let g(v) = -5*h(v) - 3*m(v). Let y(d) = 31*d + 87. Let a be y(-3). What is the tens digit of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.096 (b) -0.4 (c) 0.02 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42034*g - 8*g**3 + 81412*g - 39378*g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 10, k: 2}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -33 - b - 14 - 26 - 361*b**2 - b + 362*b**2. Determine l(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 8*r + 3. Let m be h(7). Suppose -3*u = m + 41. Let l = 44 + u. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 - 313*z - 310*z + 623*z.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26796 * 0.3.\nAnswer: 8038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -1829*q + 1848*q. Let h be (1*-1)\/(14\/4). Which is the closest to q? (a) -0.4 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 2*f + 66, -4*x - 193*f + 188*f - 31 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let f be ((-24)\/20)\/((-86)\/215). Let s(v) be the third derivative of -23*v**2 + 0 + 0*v + 0*v**f + 0*v**4 - 17\/30*v**5. Calculate l(s(d)).\nAnswer: -1156*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167711, -167958, -168205, -168452, -168699?\nAnswer: -168946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5104611 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*q**2 - 373*q**2 + 4 - 5.\nAnswer: -98*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.015 + -1.415. What is the second smallest value in 12, t, 0.6, -0.5, -2\/23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 - 2*h + 5. Let d(i) be the first derivative of 17 - 1\/3*i**3 + 0*i**2 - i. What is 3*d(x) + p(x)?\nAnswer: 3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2 - 50*s - 2624 = 0.\nAnswer: -32, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:15 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7739375 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2822*q**3\/3 - 53*q**2\/2 - 27*q - 77. Differentiate n(s) wrt s.\nAnswer: -5644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 493 - 483. Let i(n) = 4*n**2 - 4*n**2 + 10 + n**2 - g. Let l(k) = -24*k**2 + 14*k**2 - 41*k**2. Calculate l(i(h)).\nAnswer: -51*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7639 rounded to 2 dps?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28 + (1 - -2))*(-196)\/35. What is the greatest common factor of x and 1190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/7128 and -169\/11088.\nAnswer: 99792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 3*h + 29. Let q be a(-10). Calculate the highest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165284?\nAnswer: 2, 7, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, c: 1, t: 1, k: 2}. Give prob of picking 1 t, 1 x, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -244, 184, 1032, 2444?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -159*a + 0*a**4 + 116\/5*a**5 + 0*a**3 + 61 + 0*a**2. What is the first derivative of q(z) wrt z?\nAnswer: 464*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5821931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14669 and 0.9.\nAnswer: 13202.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -24. Let z be ((-12)\/(-20))\/((-12)\/60). What is the biggest value in r, -1\/4, z, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 1 h when three letters picked without replacement from {r: 3, c: 2, x: 2, h: 2, a: 1, j: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 171.2824 litres?\nAnswer: 171282.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -14*m + 12*m. Suppose -70*o = -207 + 67. Solve -m*l - 15 = 2*a, l + 15 = -4*a - o*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7414.8 from -139.\nAnswer: 7275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.073, 2\/3, 0.3, 4?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 307.4 - 298. Let z = -7.3 + -2.2. Let x = p + z. Round x to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/849 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004001812 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058972 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose 4*m - 2*f = u*f - 29, -3*m = 5*f + 13. Let h(o) = o**3 + 8*o**2 + 10*o + 8. Let a be h(m). Solve 2*b + 0 = -2*s + a, -5*b = -5*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 31. Let d be t(-5). Let h = -131 + 132. Calculate the greatest common factor of h and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2 + 13*n + 594. What is f(0)?\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962513515*d**2 - 3*d**3 + 962513515*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*16496\/(-5376) + 43?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -594.5 - -813. Let y = -177 + z. Let d = 29 - y. Round d to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-24))\/(((-4)\/(-2))\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 2\/6)*6. Let v = -6 - k. Suppose -2*b + 47 + 2 = -3*u, -v*b - 4*u = -14. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0827 + -104.6827. Let b = -4 + m. Let d = b - -97. What is d rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 3. Let g be (-40)\/15*42\/8. Let q = 8 + g. Let p = -2 - q. Determine c(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((3*sqrt(6))\/sqrt(2) - sqrt(3)) - sqrt(136)\/(6*(sqrt(8) + -4*sqrt(8))).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -855743 and -4?\nAnswer: 3422972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1)*(-4)\/(-1). Suppose 0 = m + 2, h = -4*s + 2*s - 3*m. Suppose -134*v + 133*v = -l - 5, -l + 5*v = 13. Sort 1, l, s.\nAnswer: l, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 198*a + 195.\nAnswer: 3*(a - 65)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/6 + 7*v**2\/2 + 6*v. Let z be i(5). Solve 0 = -3*u + z*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 302. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.44689905 + 18.55308795. Let w = -19 + v. What is w rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -5302?\nAnswer: -5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/770 and 21\/368150?\nAnswer: 28347550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47119 - -87832. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**3 - 4*p**2 + 5*p + 3. Let k(a) = -a**3 - a - 1. Determine -5*k(f) - z(f).\nAnswer: -8*f**3 + 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/84 and -97\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1879, 1, 3 in decreasing order.\nAnswer: 1879, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347598 is divided by 414?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21459\/3770 - -3\/377. Calculate the common denominator of -11\/35 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b + 17. Suppose -3*q - 2*t + 88 = 0, -q - 15 = b*t - 39. Let n be (10\/9)\/(q\/48). Put -1, -1.4, n in ascending order.\nAnswer: -1.4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/47, 1\/4, 3, -0.19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 12*g - 10. Let j(o) = -o - 1. Let t(y) = -y**3 - 2*y**2 + y + 6. Let l be t(-3). What is l*j(p) - i(p)?\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Which is the closest to q? (a) -2\/3 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4712555, -9425095, -14137637, -18850181, -23562727?\n\"Answer: -i**2 - 4712537*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 6, v: 4, w: 1, g: 6}. Give prob of picking 2 z.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**5*u)\/u*u*u\/(u*u*u\/(((u*u**(1\/6)\/u)\/u*u)\/u)*u)*u**(3\/8)\/u**(-2)*(u*u*u*u**(2\/15)*u**(7\/2))**(2\/29) assuming u is positive.\nAnswer: u**(6959\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1150 (base 6) to base 9\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -4*21\/(-14)*(-134)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -1145*o**2\/2 - 1443835*o\/2 + 6305 = 0.\nAnswer: -1261, 2\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + f = 97 + 949, -4*w + 3*f + 2102 = 0. Find the third derivative of -142*m**5 - 517*m**2 + 11*m + 27*m**5 + w*m**2 wrt m.\nAnswer: -6900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 25. Let t be c(6). Let m = -65 + 98. Let g = t + m. Solve g*v - v = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002671 to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -1, -779\/2, 3 in increasing order.\nAnswer: -779\/2, -1, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -3\/4 (c) 0.1 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 105892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102.1 - -104.1. Let i = 0.13 - 0.13. Let m = 0 + 1. What is the nearest to 0.2 in b, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:06 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2257.998923 + 2258. Round i to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1145704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/5*v**4 - 336\/5*v**2 - 1\/5*v**5 + 0*v + 0 + 152\/5*v**3.\nAnswer: -v**2*(v - 4)**2*(v + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 - 10*p**3\/3 + 4*p**2 + 11*p - 4. Let w be c(9). Solve 4*j + w = 3*g, 3*j + 4*g - 5 = 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 64*u = -61*u - 57624, b - 5*u = 19250. List the prime factors of b.\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -29. Solve 3*a = -i + 8, -22 = -8*i + 3*i + o*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.6. Let j = 0.5 + w. Which is the biggest value? (a) 2\/13 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18802873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192047.2 micrograms to nanograms.\nAnswer: 192047200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/111616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 184. What is the remainder when j is divided by (0 + (-1 - -2))*24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -2\/15, -1.7, -0.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 2, q: 1}. Give prob of sequence qqmq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 8. Suppose r*u + 5 = 1. Let q be (-2)\/(-12 + 7*(9 + -7)). Is u less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -15, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 21*c - 6. Let v be f(6). Let l = v - 48. What is the units digit of (-18)\/l - 81\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 - 2314\/26 - 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 3. Let s be j(5). Suppose 0 = -2*o + o, y - 4*o - s = 0. Solve -y*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-42) - 660\/(-154). Let s(v) be the second derivative of -6*v + 1\/6*v**f + 0*v**2 - 4\/3*v**3 + 0. Factor s(q).\nAnswer: 2*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**2 + 11*a**2 - 21*a**3 - 27*a**2 + 51*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(2\/45)))\/(u*u**8*u)*u**(4\/9)*u\/u**(-3\/2))**(1\/51) assuming u is positive.\nAnswer: u**(-631\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/108 and 181\/3363696.\nAnswer: 10091088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 40 + 55 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1 - 5*w**2 + 4 - w**3 + 8*w**3. Let b(a) = 3*a**3 - 2*a**2 + 2. Let t(j) = -22*j + 863. Let m be t(39). Calculate m*b(r) - 2*p(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1095784 + 4463*v + 1095784 in the form c*v + r and give c.\nAnswer: 4463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179318 or -179319?\nAnswer: -179319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 + -303. Let o(y) be the third derivative of y**3 + 0 + 0*y - 1\/8*y**t + 8*y**2. Differentiate o(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 22*b**2 + 21*b + 19. What is the remainder when n(-23) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17049*l + 85406. Give g(5).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 97727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9376211.\nAnswer: 13, 487, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w**3 - 5*w**2 - w - 7. Let p(t) = -4*t**2 + 855*t - 281*t + 16*t**3 - 6 - 289*t - 286*t. Calculate -4*g(z) + 5*p(z).\nAnswer: 12*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + v + 34, 2*p + 0*v = 4*v + 10 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 12 - 8 + 12. What is the units digit of o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*z**3 - 7*g**2*z + g*z**3 - 2*g*z**2 - g*z + 680*z**3 + 11*z wrt z?\nAnswer: 12*g**2 + 6*g + 4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 2*a + 2*a - 2*a)*(-1006 - 129 + 473).\nAnswer: 2648*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*a = -2*u + 704, -2*u - 3*a + 352 = 0. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03576283 rounded to five decimal places?\nAnswer: 0.03576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let c be 238\/35 - (-14)\/(1190\/(-153)). What is the nearest to -0.1 in -0.13, c, 2\/11, l?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 29. Let a = 625 - 428. Suppose -5*x = -a - 98. What is the remainder when x is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away -5.5?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 38*p\/3 - 12.\nAnswer: -2*(p + 1)*(p + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3648*u**5 - 3928*u**4 - 6026*u**3 - 1396*u**2 - 48*u = 0. Calculate u.\nAnswer: -12\/19, -1\/4, -1\/24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4853 = 2*j + 5*d - 4696, 5*d = j - 154 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1 + (3 - 5 + 0)*(2 + 2 - 2) + 1 + 3 + 1)*((3 + 0 - 4)*(3*f - 4*f + 3*f) - 29*f - 12693 + 12693).\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 17 + 18 - 10*b. Let t(x) = 24*x - 3. Let m(l) = -7*h(l) - 2*t(l). Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 12:39 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*o + 3*o - 3*o)*(3*o + o**3 - 3*o).\nAnswer: 2*o**4 - 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zswsrrurrrzsz. What is prob of picking 1 r and 1 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 11 = -3*g, 3*g + s - 26 = -7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/7 (c) 0.1 (d) -11 (e) 1\/6 (f) -99 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from allllllaaala.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530167.7m to kilometers.\nAnswer: 530.1677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 1 (b) 3 (c) 55 (d) -1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789089.\nAnswer: 2789089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -78. Suppose 4*y - 41 - 851 = z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*t - 1210 = 659 + 3147 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 136, 533, 1196, 2125, 3320, 4781?\n\"Answer: 133*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l**2 + 6*l**2 + 0)*((-5*l + 2*l + 2*l)*(l + 0*l + l) - l**2 - 2*l + 2*l).\nAnswer: -15*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -22?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izzziz. What is prob of sequence iiz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3816, -3624, -3432, -3240?\n\"Answer: 192*r - 4008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 2*h - 4. Let o be p(4). Which is bigger: 53\/17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose -s*q = 3*q. Solve h + 0*h = q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 7. What is the units digit of 4*(-3)\/o*15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34422 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 w = 5801\/20088 + 1\/648. Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 12:18 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1326 - -1331.91. Let s = x + -5.96. Which is the smallest value? (a) 2\/11 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*q = -19, 5*n - 2*q - 20 = -3*q. Suppose 2*o = -0*o, 2*s - 196 = n*o. Let c = 170 - s. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, k: 4, j: 3}. Give prob of sequence kkkj.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -20\/3, 2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 42. Let v be w(-9). Let d(q) = -19*q + 10*q + 3 + 7*q + v*q. Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 37 = -4*f. Let r = 83.05 - -0.95. Let j = r - 89. What is the third biggest value in j, -0.5, 5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -9.2. Let w = t + 3.2. Let n = 1.6 - w. Which is the closest to 1? (a) n (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1073065200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/5 - (-6)\/(-30). Find the third derivative of -3*u**2 + u**2 - 4*u**2 + q*u**5 wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102438.\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 40. Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 1. Let i(v) = 0*v**2 - 56*v - 2*v**2 + 30*v + 6 + 9*v**3 + 8*v**3 + 24*v. Calculate -i(q) + 6*y(q).\nAnswer: -11*q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107302 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 100.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1516*-0.012\nAnswer: 18.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4*l + 6, -5*l + 1 = -4*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 9708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 - 2*a**5 + 3*a**5 + (-2*a**2 + a**3 + 2*a**2)*(3*a**2 - 3*a**2 - 2*a**2) - a**5 + 4*a**5 - 4*a**5 + (a + 4*a - 3*a)*(-a**4 - a**2 + a**2).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235*b**4*x + 2*b**3*x**3 - 697*x**3 wrt b?\nAnswer: 940*b**3*x + 6*b**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - 8)\/(26\/13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102993737 and 14713391?\nAnswer: 102993737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-1)\/(-4)*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43476601230*a - 3*a**2 - 43476601230*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87859.\nAnswer: 103, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 84, 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(110)*-2 + sqrt(110))*-1 - sqrt(110) - sqrt(110)))\/(sqrt(40)\/(sqrt(4)*-1) - 2*sqrt(1440)).\nAnswer: sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:46 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 10*l + 2*l**2 - 38 + 25 + l in the form o*l + x*l**2 + v and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 3. Let h be a(8). What is the third derivative of -y**5 - h*y**2 + 2*y**2 + 0*y**2 + y**2 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 515. What is the units digit of x(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**4 + 2*p**4 - p**4)*(8 + 19 + 4) to the form y*p**2 + w*p + i*p**4 + v + x*p**3 and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 112 and -1545655421.\nAnswer: -1545655309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = -3*x + 3, 0 = -4*x - 5*d + 4. Which is the second smallest value? (a) 0.2 (b) -19 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + 3. Differentiate -2*b**u - 1 + 3*b**3 - 6*b**3 + 2*b**3 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*(0 + -1). Let a be ((-8)\/y)\/(2\/1). Suppose -45 - 11 = -a*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-17 + 19 - (1 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1228, 2475, 3722, 4969?\nAnswer: 6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttpvpvppttt. What is prob of sequence tvv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -20. Let g(u) = 2*u + 29. Let l(s) = -s - 15. Let y(x) = 4*g(x) + 7*l(x). What is the units digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/11220 and -199\/55444140.\nAnswer: 609885540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 474, 1092, 1964, 3090, 4470?\nAnswer: 6104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 1:15 AM?\nAnswer: 426","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r**2. Let b(t) = -16*t. What is z(b(x))?\nAnswer: -5376*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 504924623 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - o - 23 = -4*f, o = -2*f + 7. Suppose 2*g - f*g = -57. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3695 or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17029487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 468 = 37*i - 41*i, i - 3*h = 117. Solve -72 = -126*l + i*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - (-1)\/(-4). Let u = v - -16. Suppose 0*s + 2*s - 8 = a, 4*a + 3*s - 23 = 0. Solve u = a*x - 2*z, 2*z + z = -2*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/43))\/y**(1\/4) assuming y is positive.\nAnswer: y**(137\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1327950.\nAnswer: 1\/265590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13712)\/(-18) - 8\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**2 + 25*b - 823 wrt b.\nAnswer: -16*b + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 256578878 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose -7*s + 3*s + 12 = c. Suppose -a + 4 - s = 0, -v - 3*a + 20 = 0. 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 hundreds digit of 93731732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2) + -7 + 4. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t - 18*t - 14*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.078 + -0.322. What is f rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 - a + 7. Let h(x) = 10*x**2 + x - 1. Let p be h(1). Let k be (-4)\/4*p\/2. Is 6 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktnv when four letters picked without replacement from pvtknevp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5878196076.\nAnswer: 2, 3, 41, 173, 69061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 11. Let t(g) = 279*g - 271*g + 4 - 5. Let n(o) = -o**3 - 5*o**2 + 1. Let f be n(-5). Let j(m) = m. Calculate f*t(d) + r*j(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34852 + -6120?\nAnswer: -42072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 1. Let h be v(5). Let p = h - -12. Is p less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8448435 millennia in centuries?\nAnswer: 8.448435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.082 + 0.001. Let a = t + 0.181. Is a > 3\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 697.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34501*c**4 - 2*c**2 - 159*c + 269.\nAnswer: -414012*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(50*x - 50*x + 91*x**4).\nAnswer: -273*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-19126)\/6)\/(22\/66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 66600 = 0. Suppose 0*w - 3*w + y = 0. What is w rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11976 and 25410078.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 220?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**6\/180 + q**5\/120 + q**4\/24 - q**3\/36 - q**2\/6 - q. Suppose l(b) = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 0)*(63*r**2 + 144*r**2 + 77*r**2)*(4*r - 2*r + 0*r) to f*r + u + z*r**2 + g*r**3 and give g.\nAnswer: -6816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -466 - 21?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -358*g**3*v - 1030*g**3*y**4 + 2*g*v*y**3 - 5*g*v wrt y?\nAnswer: -4120*g**3*y**3 + 6*g*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**4\/24 - s**3\/6 + s**2. Let a = -50 + 57. Let q(w) = -21*w - 6 + 8*w + a*w. What is q(g) - 5*v(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 170*l**2 - 3819*l + 11426. Give n(103).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -1 + -2 - 99\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363.4 + 363. What is the closest to 1 in 0.12, 1, 2\/11, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-1 + 1 - d)*(-1 + 1 - 2) - 7*d + 0*d + 2*d - d - 2*d + 2*d + (1 + 0 - 3)*(0*d + 0*d - 2*d) + 0*d + d - 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 39 + 58. Is g greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, q: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 575, 584, 595, 608?\n\"Answer: u**2 + 6*u + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40601918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18568 + 18573. Let w = 0.9 + 0.1. Let o = -1.5 + w. What is the closest to 0 in c, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10335952.175 + 34.5.\nAnswer: -10335917.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7762 - 7698. What is the highest common divisor of 4416 and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0317823*0.0994\nAnswer: -0.00315916062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -o, 2*n - 2 = -o - 0*n. Suppose 0 = -o*d - d. What is the tens digit of (-10)\/((1 + d)*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.58 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = i, -8*g = -7*g - i. Which is the second biggest value? (a) -1\/2 (b) 10 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -456 - 197*s**2 + 376*s**2 + 593*s**2 - 68*s**2 - 1132*s - 12*s**3.\nAnswer: -4*(s - 57)*(s - 2)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140896451 a multiple of 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 3*r + 1. Suppose -17 = -3*t + 7. Suppose t = 20*y - 24*y. Calculate v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 4 = 0. Let x be (9\/(-3))\/((-6)\/4). Suppose m = -c*z + 12, -4 + 16 = x*z - m. Solve -q + 10 = -5*l, -q + z = -2*l - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (15 - 7) - (-2 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 280*i + 218. Let u be d(4). Is 1338 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1145+0.247\nAnswer: 0.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -3. Let d(h) = -t*h + 25 - 11 - h**2 - 2. What are the prime factors of d(-15)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1304 - 1304 - 2*i**2. Let v = -5 + 7. Let f(s) = s**v + s**2 - 5*s**2. Determine f(t(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34041330040 + 2?\nAnswer: -34041330033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -332, -1167, -2818, -5561, -9672, -15427?\nAnswer: -23102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21999448*s**2 + 38765042*s wrt s.\nAnswer: 43998896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 4. Suppose -4*q + q + o = -4*t, -2*t = q - 17. Let m(i) = 2*i**2 - 4*i + 1. Calculate the smallest common multiple of m(3) and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.1 from -2041.5.\nAnswer: -2038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:15 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 1782 = 101*o - 66*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 + 5*g - 5. Let r be o(4). List the prime factors of -5*(-1 + r\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from zeemhwezeewz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*o**3 - 38\/5*o + 21\/5*o**2.\nAnswer: -o*(o - 19)*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.88 - -0.68. Which is smaller: s or 2\/71?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -3. What is the nearest to -2 in 2, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4765728 = -1390*v + 1294*v. What is the thousands digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 30, 65, 112, 171, 242, 325?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**7\/10 + k**3\/6 + k**2 + 15*k + 40. Let u(i) be the second derivative of o(i). What is the derivative of u(b) wrt b?\nAnswer: -84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734291405.\nAnswer: 5, 257, 571433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2754)\/540*4\/3)\/((40\/50)\/4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 - 412*d + 416 = 0.\nAnswer: -104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 20*t - 69.\nAnswer: (t - 3)*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001 - 0.079. Let i = -3.002 + l. Let r = i + 0.08. What is the closest to 0.2 in r, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 38. What is the remainder when 27 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 5*v**2 - 471*v + 3677. Calculate u(8).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*g - 3*g + 24, -4932 + 4927 = -3*g + 5*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5232 and 3754941.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.74 - -44. Let w = -117183787 + 117183787.74000041. Let n = k + w. What is n rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21*d - 3. Let c be z(-1). Let o = 24 - c. What is the third derivative of -1 - 102*l**o + 104*l**6 + 1 - 5*l**2 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + k + 1 - k**2 - k. Suppose -21 = 159*s - 156*s. What is p(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + i**2 - 43*i - 9. Let v be x(7). Suppose v*n - 763*n = 6735. What are the prime factors of n?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= -307141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.79 * 0.2504\nAnswer: -1.449816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.89884ug to kilograms.\nAnswer: 0.00000008889884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*b - 3*b + 3*d, -5 = 3*b + 5*d. Suppose 6*z = b*z + 3*z. Solve z = o + 2*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 26 = -212. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - 11. Suppose 2*w - 2 = 3*w. Let p be 5\/w*a\/1. What is the highest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p**2 + 4*p + 1)*(-4*p + 4*p + p + (2*p + 1 - 1)*(1 + 0 + 1)).\nAnswer: 15*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -596*h**3 + 37*h**2 + 3*h + 23706 wrt h?\nAnswer: -1788*h**2 + 74*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2 - 9*l - 9. Let z = 6 + -4. Let r(n) = n**2 + n + 1. Let g(s) = z*m(s) + 18*r(s). Let w(u) = 2*u**2 + 299 - 299. Determine w(g(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -67. Which is the nearest to g? (a) -1\/3 (b) 7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 534*n**2 - 545*n**2 - 553*n**2 + 2184*n**2 - 28*n**3 - 539*n**2.\nAnswer: -27*n**3 + 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2171 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7324.237ns to milliseconds.\nAnswer: 0.007324237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(475) + -2)**2*-5.\nAnswer: -14370 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -205057.\nAnswer: 61517.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788091230 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(567) + sqrt(567) + 1) + -1*(2*sqrt(567) + -2).\nAnswer: 12 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657436 - 337221 = -16*q - 228081. What are the prime factors of q?\nAnswer: 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-1)*2\/8. Let b be (6\/4)\/3*-6. Sort b, u, 4 in ascending order.\nAnswer: b, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i**2 + i - 101. Let p(w) = 7*w**2 - 3*w + 67. Let d(f) = -5*k(f) - 7*p(f). What is d(-16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.879511 microseconds to milliseconds.\nAnswer: 0.007879511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 1, o: 5, g: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-48))\/3*-2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(57)\/sqrt(3) + -2)*6.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 46 - 18. Let c = -3451 - -3478. Calculate the remainder when h is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102212 (base 3) in base 14?\nAnswer: -19d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4 + 978*f**3 - 58384*f**2 + 793632*f + 852992 = 0.\nAnswer: -544, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**(-9\/7)*c**(-8)\/(c*c**(9\/2)) assuming c is positive.\nAnswer: c**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k - 12*k + 588*k**2 + 74*k**4 - 72*k**4 in the form x*k**3 + d*k + h*k**2 + g*k**4 + j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - y + 2. Let i(r) = 13*r**2 + 5*r - 9. Give -18*c(w) - 4*i(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -42a9?\nAnswer: 42ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15383, -30762, -46139, -61514, -76887?\n\"Answer: o**2 - 15382*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6719 - -6715. Which is the closest to -7\/6? (a) 1\/2 (b) -4\/7 (c) t (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(17)*-4 + (sqrt(85)\/sqrt(5) + -3)**2.\nAnswer: 26 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/528238?\nAnswer: 9\/528238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 875008571 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = o - 3, 0 = 2*v - 4*o + 2*o + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 10) in base 12?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*n = 1480*n - 10*n - 281232 for n.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 2*p - 5*s, 0 = -3*p + 4*s. Factor -2\/5*x**3 - 4\/5*x + 6\/5*x**2 + p.\nAnswer: -2*x*(x - 2)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 + (-8 - -1) + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -242747269?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 2*n**2 - 68 + 4 + n)*(0*n**3 + n**3 - 4*n**3).\nAnswer: -6*n**5 - 3*n**4 + 105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 != -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1497 - 2 - 1)*-480. Round m to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/14, 0.3, 5, 1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+12325156062\nAnswer: 12325156062.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -48 - 37. Suppose 5*a + 2 = z. What is the lowest common multiple of (a - 2)\/((-1)\/(-8)) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1.5, 0, -5\/4, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - n + 13 = 3*n, -n = -3*l - 7. Let h be 5\/15*9*2\/(-3). Let b be (0 + -7)*(20\/7 + h). Sort 5, b, l in increasing order.\nAnswer: b, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90430003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8295 + -8291. Let s(g) be the first derivative of 7\/5*g**5 + 0*g**t - 26 + 5*g**2 + 0*g**3 + 0*g. Find the second derivative of s(p) wrt p.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -210 in increasing order.\nAnswer: -210, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846315 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 3360.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100615?\nAnswer: 5, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7143623\/7910 + -31608\/35. What is the common denominator of k and -29\/20?\nAnswer: 15820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*d**2 - 29661*d - 17 + 29661*d wrt d?\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q. Suppose 0 = -2*n - q*n - 14. Let b = n - -8. Are b and -2\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79747511.\nAnswer: 79747511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-989 + 1861 - 2241)*(-2*t + t + 2*t) in the form o*t + a and give o.\nAnswer: -2738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ae (base 15) to base 10.\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060, -867, -544, -91, 492, 1205, 2048?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5*t**3\/2 + 5*t**2\/2 + 2*t. Let y = -383 - -380. Does 10 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -31*f - 7. Let x be v(-3). Let d = x - 83. Suppose 0 = 5*l - d*l - 14. Calculate the smallest common multiple of 6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)*o)**(-3\/37)*(((o\/(o*(o**(1\/12)\/o)\/o)*o)\/o)\/o)\/(o**(-23)\/o))**(-11\/7) assuming o is positive.\nAnswer: o**(-124465\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Solve -1 - h = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/128 and 3\/8300608.\nAnswer: 16601216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(304) + (-3*(sqrt(19) + 2) - sqrt(19)) + sqrt(19) - (sqrt(2299)*-2 - (sqrt(19)*-1 + -4)))*3.\nAnswer: -30 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -10*b + 160, 0 = 10*v + 2*b - 6*b - 5*b + 122 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 20 = -4*o, -5*m + 4 = 2*o. Suppose -4*i + 0*u + 12 = 4*u, 3 = -i + u. Solve 2 = 3*q - 0*q - m*s, i = -3*s + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 309 = -3*k, k - a = 65 + 38. Let h = 125 - k. Calculate the highest common divisor of h and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180333192.9 to the nearest one million.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 102?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 3162 - 1326 = 0. Suppose -4*h = -3*h - 117. Calculate the remainder when h is divided by 1*1\/2 + 5214\/m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5115, 0.4, 0.3, 2\/9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.131*206.\nAnswer: -26.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/5 + 8*y**4\/5 + 16*y**3\/5 - 28*y**2\/5 - 14*y\/5 + 4 = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - -2. Let z = 0.3 - y. Let k be (-6)\/(-15)*((-2556)\/279 + 9). Is z at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:54 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 21 - -15 - 34 - -91?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.459 - -0.441. Let n = 69.8999407 - o. What is n rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose -z + 4 = -c*z, -4*z - 14 = 2*y. Does 13 divide (-3 - 0)\/(y\/39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 1\/30*v**4 + 2\/15*v**3 + 54*v - 4\/5*v**2 + 0 - 1\/100*v**5. Determine u so that q(u) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is 1173554446 to the power of 1\/2, to the nearest integer?\nAnswer: 34257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24971 in 2, 1\/4, 138?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547843 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 596?\nAnswer: 56620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 5.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1652? (a) -2\/15 (b) -1 (c) -0.1 (d) 3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -337, -1370, -3083, -5464, -8501, -12182, -16495?\n\"Answer: 2*b**3 - 352*b**2 + 9*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 47. Suppose 0 = -3*i + 5*n + 50, -3*i + 3*n - r = -4*i. Calculate the smallest common multiple of i and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3136859 - 159.\nAnswer: -3137018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 359472674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 92510 = -2*g, -988*o - 3*g = -992*o + 123344. What are the prime factors of o?\nAnswer: 2, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:03 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 12. Let h be f(-8). Let r(t) = 2*t**2 + 5*t + 6. Let i = -11 + 18. Calculate the remainder when r(h) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d + 2 = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**2 - f + 7. What are the prime factors of p(-3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 15*l + 12. Calculate i(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10896\/(-2270))\/((-1)\/((-10)\/(-6))). Solve -8 + h = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22102021110222?\nAnswer: -22102021111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/4133 - 78467\/24798. Let z(s) = s - 12. Let k be z(9). Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose t*z + 4*a - a - 207 = 0, 3*z - a - 139 = 0. Solve 5*i = 3*v + z - 8, v - 4*i = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/3 + 92*u**3\/3 + 88*u**2 + 272*u\/3 + 32 = 0 for u.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 1.8, 3, -83, -5, -241?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006225088785 to 6 dps.\nAnswer: 0.006225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 6*z + 1596 = 1116 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -0.16. Let x = d - 0.3. Put -2\/13, -0.3, x in ascending order.\nAnswer: -0.3, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1629880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00415117693 rounded to 7 dps?\nAnswer: -0.0041512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54768509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 13) to base 3.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9372 (b) 3.9 (c) -25\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.1. Let m = -1.8 - k. Let r be -1 + (-1)\/(-5) + 1. What is the smallest value in r, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46368 and 0.4?\nAnswer: -18547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = 5*a, a = 5*z + 2*a + 2. Suppose z = -5*d + 4*n + 1802, 5*n - 324 = -4*d + 1093. Is d a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunn. Give prob of picking 3 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a**3*o**2 + 3*a**3 - 163*a*o**2 - 57743*a*o - 56208057*a - 1 wrt o?\nAnswer: -8*a**3*o - 326*a*o - 57743*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -61. Suppose 4*l - 12 - 8 = 0, 0 = 5*k - g*l - 160. Suppose 0*z - 4*z = 4*d - 36, 5*d = -3*z + k. Solve -d*b - 12 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/18*(-284)\/(-994)*-1*56.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:08 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlnnpnnam. What is prob of sequence ln?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008665276407 rounded to six dps?\nAnswer: -0.000867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 2*x**5 - 3*x**4)*((1 + 2 - 1)*(2 + 0 - 3) + 3 + 1 - 6 - 2 - 2 + 3 + (3 + 2 - 3)*(-4 + 3 + 4) + 205 - 97 - 149).\nAnswer: -80*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*a + 4*p + 293, -2*p = -3*a + 450. Calculate the lowest common multiple of 4 and a.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*u + 3, 0 = 2*u - 5*u + 12. Suppose -2*i = -0*i + a + 174, -438 = l*i + 4*a. What is the tens digit of i\/(-6)*(-11 + 20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 215, 339, 463, 587, 711, 835?\n\"Answer: 124*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnttttnttttttttttttt. What is prob of picking 1 n and 2 t?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:53 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -24974\nAnswer: -124870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a13 (base 11) to base 2.\nAnswer: -1101111100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 114206\/5 and 22842 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.92 - -8.8827. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:36 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*n - 251*n = -825. Calculate the greatest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1705 and -73\/279.\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 615868?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than -1887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4279, -4850, -5421, -5992, -6563, -7134?\n\"Answer: -571*y - 3708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.491 - 24.36. What is t rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 52. Let f be (2\/(-4))\/(4\/184). Let y = i - f. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l + 4. Let q be d(1). Let t = q - 73\/6. Which is the closest to 3\/4? (a) t (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-425)\/705 - 6\/(-9). Let y = 29 + -30. Is n >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 18 (c) 4\/21 (d) -2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-36)\/(-16) + (-207)\/(-1748)*57\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 484*b**2 - 26*b - 41. Let u(l) = 161*l**2 - 9*l - 15. What is -4*c(d) + 11*u(d)?\nAnswer: -165*d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986400 is divided by 557.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -36 - 132. What is the remainder when 39 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (1 - 2) - (15 + -18)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 4. Let v = -2 + 1.9. Let r = -8 + 9. Which is the closest to r? (a) w (b) -1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -880\/9 - -98. Let r = 0.03 + 0.57. Sort p, 0, r in ascending order.\nAnswer: 0, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -641\/5 + 638\/5. What is the closest to -3 in y, 1\/7, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {r: 3, q: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 - -101 - (-2 + 4 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 1. Let p(g) = -5*g - 3. Let m(z) = -2*i(z) + p(z). Suppose 5*o - 22 = -3*r, 3*r - 2 = -0*o + 5*o. What is m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*(-5)\/6. Let v = 191 + -228. Let y = 55 + -53. Which is the nearest to 2\/5? (a) y (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from ynynynsysddynynyy.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -4, 1.8, 64 in descending order.\nAnswer: 64, 1.8, -1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-33)\/(m\/(m*m*m\/m**(-2\/9))*m))**24 assuming m is positive.\nAnswer: m**(-2288\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -10*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9325, -18476, -27629, -36784, -45941?\n\"Answer: -l**2 - 9148*l - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -120333 (base 4) to base 8\nAnswer: -3077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 768229.4 to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (0 - -5) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37948, -37950, -37952?\n\"Answer: -2*w - 37946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -311 - 294 + 604*y + 606 as d + r*y and give r.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 7) to base 8\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265399, 531113, 796825, 1062535, 1328243?\nAnswer: 1593949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.197154 to three decimal places.\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 24. Let c(h) = -h + 11. Let x be c(o). Suppose 8 + 47 = x*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/9))**(-1\/14))**14 assuming h is positive.\nAnswer: h**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 - 4*f**4 + f**5)*(-2 + 1 + 4).\nAnswer: 3*f**5 - 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**3 - 3*m**2 + 2*m + 2. Let z be d(-3). Calculate the common denominator of 1468\/z - (-4)\/(-10) and 29\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-7\/11)\/k)*k**(6\/11))\/(k**26\/(k*k**(-4\/43))))**1 assuming k is positive.\nAnswer: k**(-10364\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - h. Let x(t) = -21548*t. Determine d(x(u)).\nAnswer: 464316304*u**2 + 21548*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 3*u**2 - 6 + 54*u - 54*u to j*u**3 + p*u**2 + y + i*u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001000010001 + -1001100?\nAnswer: -1001001001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2. Let c = 2019 - -1544. Let a(h) = 1807*h - c*h + 1799*h. Give a(l(i)).\nAnswer: -258*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/64)\/(-1 + 7\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(3600) - 6*-2*sqrt(3600)) + sqrt(3600))\/(-1*sqrt(605) + (sqrt(720) - 2*sqrt(720))).\nAnswer: 168*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 22*z = 36. Calculate the greatest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -13*r**4\/12 + 4*r - 4. Let k(c) be the first derivative of i(c). Let u(l) = -l**2. Calculate k(u(p)).\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 2*d - 6*d, -3*d - 35 = -4*t. Let r = -338 + 338. Solve r = 4*w - 15 + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:21 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 3:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 44. Let h be m(0). Let l be 5*(4 + h\/10). Let w(q) = -15*q + 176. Let j be w(12). Which is the closest to -2? (a) j (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417749 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50843 + -32515. List the prime factors of x.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*44\/16)\/(3\/10). Let k(q) = 15*q**3 + 55*q**2 + 55*q - 55. Let r(p) = -p**3 - 4*p**2 - 4*p + 4. Calculate u*r(w) + 4*k(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 12. Let h be q(-26). Find the third derivative of 34*p**4 - 18*p**2 + h*p**2 + 41*p**2 + 13*p**2 wrt p.\nAnswer: 816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/2, -110138926 in descending order.\nAnswer: 1\/2, 0.4, -110138926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7425*m - 40. Let n be j(2). Round n to the nearest 100.\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + 2 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 113?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 18 + 5*s - 23. Suppose -3*x - 31 + 8 = -2*y, 0 = -4*y - x + 25. What is the remainder when j(y) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.22906 rounded to one decimal place?\nAnswer: 109.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 2*b**2 + b + 3. Let w be c(0). Suppose -w*k - y + 5*y + 191 = 0, k - 4*y - 61 = 0. Suppose 69*l = k*l + 12. Solve -l*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 193, 150, 107, 64?\n\"Answer: -43*u + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 327812475 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 304, -2 in decreasing order.\nAnswer: 304, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, g: 3, r: 3, h: 3, v: 2}. What is prob of sequence rlh?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*h*n**2 - 422*a*h*n + 62*h*n - 2*h + 2*n**2 wrt a?\nAnswer: 4*h*n**2 - 422*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 39*u**2\/5 - 156*u\/5 + 288\/5.\nAnswer: 3*(u - 4)*(u + 3)*(5*u - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 180 - 177. What is the third derivative of -5*l**4 - 36*l**2 - 6*l**4 + t*l**4 + 6*l**4 - 11*l**3 wrt l?\nAnswer: -48*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 8*s**3 + 5. Let v(y) = -y**2. Give v(n(b)).\nAnswer: -576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - ((81 - 27) + 25).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 819*c**2\/2 - 6556*c + 64 = 0.\nAnswer: 8\/819, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:38 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 + 31)\/(2 + 0). Sort q, 5, -69 in increasing order.\nAnswer: -69, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/13 + 68142*j**2\/13 + 477108*j\/13 - 545248\/13 = 0.\nAnswer: -8, 1, 34078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 46. Let v(d) = -d + 9. Let s(m) = -11*v(m) + 2*x(m). Let t(g) = -3*g - 3. Let z be t(-3). Calculate the remainder when 32 is divided by s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + (-114940)\/(-40))*1*4 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013555 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 64132*k - 320644. Determine q(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -655 (base 15) to base 13\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -39\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 4*i**2 + i**3)*(-21 + 21 - 20*i)*(2 - 1 + 1).\nAnswer: -40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4976304*c**4 - 3*c - 4788?\nAnswer: -59715648*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337837, -337979, -338121, -338263, -338405, -338547?\nAnswer: -338689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 1018, 1530, 2046?\nAnswer: 2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from httttttthhttthth?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -46.\nAnswer: 15\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36071.7 times -0.03\nAnswer: 1082.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 449 - 461. Let t(z) = -z**3 - 11*z**2 + 12*z + 1. Let s be t(h). Let m be 0\/(1 - 0\/(-1)). Solve -b + 1 = -m*n + n, 5*b + n - s = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2. Suppose 23*p + 145 = 352. Let j(o) = o**3 - 13*o**2 - 1. Calculate p*c(w) - 2*j(w).\nAnswer: -2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17*k**3 + 29*k**2 - 13*k - 4. Let r(p) = -8*p**3 + 15*p**2 - 7*p - 2. Let h(y) = -10*r(y) + 4*w(y). Factor h(i).\nAnswer: 2*(i - 2)*(i - 1)*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {c: 2, r: 1, x: 2, v: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 times 0.11754?\nAnswer: 0.423144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -172, -3 in ascending order.\nAnswer: -172, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -272, -1093, -2462, -4379, -6844, -9857?\n\"Answer: -274*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18133.988 - 18134. Sort -1, -0.9, 3, d.\nAnswer: -1, -0.9, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086065 rounded to the nearest 1000?\nAnswer: 2086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2)*(18 - 24). Suppose 5*k - 23 = 7. What is the highest common divisor of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:43 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3971 - 3966. Suppose 3*v = -6, 3*m - 6*m + 3*v + 6 = 0. Suppose 4*r + 0*k + 6 = 3*k, m = k - 2. Solve r = -5*x - j - n, -j + 0*j + 11 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Suppose -2*f = f - 6. Suppose 4 = f*c - 0. Let p(y) = 0*y**2 + 0*y**c + 3*y**2. What is i(p(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -167?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -22, 4, 18, -3, -10, 1 in descending order.\nAnswer: 114, 18, 4, 1, -3, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4727722 (base 9) in base 16?\nAnswer: -2707df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:52 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7966567093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7061 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-5)\/o*o))\/(o**7\/o*o))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - d - 17, r = -2*d + 8. Suppose r*q - 5*q = 3. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + ((-7)\/9 - (-4)\/(-18)). Suppose 3*k - 75 = c*n, -7*k + 5*n = -5*k - 62. What is the greatest common divisor of k and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - p - 3*p + p**2 in the form o*p + m + r*p**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = -24 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*b + 43 = 8, 5*f - 3*b - 97 = 0. Solve 7*c - 13 + f = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -d, d + 0 = 5*r + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*y**4 + 132*y**4 - 14*y**5 + (18*y + 8*y - 7*y)*(2*y**4 + 0*y**4 - 3*y**4).\nAnswer: -33*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763611844 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212436011 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 8*f + 815. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 12*v - 8. Let z be (v\/6)\/((-11)\/(-99)). Find l such that -3 + z*l + 12 - 9 - 3*l**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let g be (-263)\/(-5) + 1\/(-5)*3. Suppose m*b - g = -k, -8*b - 82 = -k - 4*b. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - 2*c**3 - 8*c + (-c + 2*c + 0*c)*(-2*c**2 - c**2 + c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -233?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Let w(v) = 1815*v**2. Give o(w(x)).\nAnswer: 3294225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/8, -0.229, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.06725, 114?\nAnswer: -0.06725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 0.3 (c) -2\/35 (d) -4\/3 (e) 0.17 (f) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 531\/4. Let w = -0.367 - -0.267. Let h be (-9)\/(-30)*(-25)\/(-30). Sort 0.3, h, v, w.\nAnswer: v, w, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c**2 + 3*c - 9*c)*(0*c + 2*c + 0*c) in the form i*c**3 + p*c**2 + a + g*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/9 + 2978232*j + 53608320.\nAnswer: -4*(j - 6701040)*(j + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 33*l**2\/5 + 342*l\/5 + 648\/5.\nAnswer: -3*(l - 18)*(l + 3)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0595 (b) -1\/5 (c) -4.2 (d) -2\/9 (e) -1 (f) 4 (g) -101\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 248*h - 6950, 3*h - 4*q - 44 = 52 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:12 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h, -6*h = -3*o - 3*h - 9. Suppose -2*z + 5 + 19 = o. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = -36. Suppose n*j = 12*j + 10221. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.99674l?\nAnswer: 44996.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + k = 0, 6 = -2*w - w + 3*k. Let s(r) = 4*r**2 + r**w + 2*r - 6 + 4. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445 + 1005. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = f - 93, 0 = 5*f - 4*l - 163 - 272. Let u be (-29)\/(-1)*(-3 - -1). Let a = f + u. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 + 14 = 0. Solve -4*f + 6*f - 3*z = -6, 8 = 3*f + v*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2575c (base 14) to base 12.\nAnswer: 452b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - p + p)*(-705 + 705 - 15*p) - 11*p**2 + 8*p**2 + 15*p**2 to r*p**2 + x + g*p and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 3*v + 4*v**2 + 25 - 13. Let z be h(2). Let y be 44\/3 - (-2)\/(-3). Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 70231659?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 26*n + 92. Let f be s(-29). Suppose f*i - 1485 = -4*m, -3*i - 2*m = 2*m - 899. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/((-20)\/56))\/((-1)\/5). Let u = c + -49. Let q be (33\/12 - 2)*4. Solve -16 = g + q*y, -4*y = -4*g + y + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 94887305.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from oooooooovvoooooooovv?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2 (c) -3 (d) -219 (e) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/13, -2, 6884 in descending order.\nAnswer: 6884, -2, -58\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 1. Suppose 5*u - 8 = 27. Suppose -2*i - u = -3. Calculate m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230152 - 131110 - 111148 = -5430*u for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -6. Let v = m - 6. Suppose 2*w = -v*w. Is -2\/9 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 - 123. What is the closest to 2 in -2, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -42, 51, 688, -3, -7 in decreasing order.\nAnswer: 688, 51, 1, -3, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*g - 1. Suppose 30*v - 208 - 190 - 22 = 0. What is the remainder when g is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*260\/2145?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 12\/5 (b) -0.9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1 - s - 2 + 2 + 6. List the prime factors of w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.532813 or 0.1?\nAnswer: -2.532813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*s**4 + 183*s**4 - 96*s**4)*(7*s - 2*s - 3*s)*(24 + 14 - 15).\nAnswer: -552*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 247.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))\/(r*r**(1\/3)))**12 assuming r is positive.\nAnswer: r**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n - 108. Let q be z(-11). Calculate the greatest common factor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 40\/(-18) - (-470)\/(-282)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/2057 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037310854 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -274*u**3 - 13*u**2 + 477*u + 26. Let q(p) = -137*p**3 - 6*p**2 + 238*p + 12. Let f(z) = 6*m(z) - 13*q(z). Find the second derivative of f(l) wrt l.\nAnswer: 822*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 25*m - 20. Let y = -758 + 734. Determine l(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844626 a multiple of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-14) - (-9)\/(-21). Let a(w) = 2*w + 6. Let x be a(-4). Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l = 22*l + 129360. Does 140 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29809987783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.16, -0.4, -2\/3, -29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1609*z**3 - 10*z. Let v(b) = -518098*b**3 + 3218*b. What is -1609*a(s) - 5*v(s)?\nAnswer: 1609*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879.6 rounded to the nearest 10?\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4308 - -3010. Is t less than -1298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -30. Let n(q) = q**3 + q + 2. Let p be (-2)\/9 - (-4)\/18. Let w be n(p). Solve -w*z - 3*z + h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -236877.\nAnswer: -2605647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - -0.11.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 - (-136)\/70). Suppose 5*t - h = 20. Calculate the smallest common multiple of 7 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1. Let i = b + 0.1. What is the second smallest value in -5, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5641*y + 2*y**2 - 11285*y - 1 + 5645*y + 15*y**4 + y**3 as w*y**3 + q*y + k*y**4 + b + o*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let q = -508\/5 - -101. What is the smallest value in r, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/10 - 2*t**3\/3 + t**2\/5 + 2*t - 93. Find w such that h(w) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -217452.\nAnswer: 31\/217452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 - 5*i - 4. Let t be w(-5). Let u be (-4*2\/t)\/(-10 - -1). Sort -4, -1\/3, 4, u.\nAnswer: -4, -1\/3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2773.38 + -2774. Sort 4, 2\/17, l in decreasing order.\nAnswer: 4, 2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.158 + 58493515?\nAnswer: 58493505.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8468, 0.041, -4\/5, -0.3 in decreasing order.\nAnswer: 0.041, -0.3, -4\/5, -6, -8468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*-1)\/(sqrt(90) - (sqrt(90) + -4*sqrt(90))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24112 + 12?\nAnswer: 24124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166 + 166 - 3*u**2 + u to d*u**2 + f + t*u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*u - 14, 0*u + 5*u + 1 = q. Is 3 a factor of (u\/(-2))\/(3\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 4, n: 7}. Give prob of picking 4 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5660*-2.\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629*r = 616*r + 429351. What is r rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171)*-3*6 - sqrt(171)) + sqrt(171) - sqrt(171))*1)\/(-2*(sqrt(9) + (sqrt(9) - sqrt(9)*-3))*3)*6)**2 + 3.\nAnswer: 6934\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3106185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734288746 divided by -3.\nAnswer: 734288746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -12, -1, -11 in ascending order.\nAnswer: -12, -11, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3186 divided by 531?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 83819, 86971, 90123?\n\"Answer: 3152*n + 80667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 - 6*c - 6. Suppose 5*n - 11 + 80 = q, 0 = -n - 4. Let b(j) = 43*j - 4*j + 49 - 56*j**2 + 10*j. What is q*h(k) + 6*b(k)?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.5. Let j = 0.2 - b. Let o = 0.0025 - j. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 17978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1650, -3735, -5810, -7875, -9930, -11975, -14010?\n\"Answer: 5*c**2 - 2100*c + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3458221870 rounded to the nearest one hundred thousand?\nAnswer: -3458200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, i: 12}. Give prob of picking 2 i and 2 j.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9692153 to 3 dps.\nAnswer: 0.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 2, d: 1, k: 1, j: 2, c: 1}. Give prob of sequence skj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*a - 4. Let j(f) = -f - 3. Let q be j(a). Let -h**q + 6 - 5*h + 4*h - 4 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + (-1144)\/(-78))\/((-5)\/(-54))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1)))**(-2\/143))**5 assuming h is positive.\nAnswer: h**(-10\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/66)\/((-22)\/(-2244)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(3) - sqrt(3))*-4 - sqrt(9)\/((sqrt(21)*-3)\/sqrt(7)).\nAnswer: sqrt(3)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 126093 and 126087 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-7) - (-9)\/21. Let c = 62510 - 62505. Suppose -4*d + 8*d = -4*h - 76, 4*d = -4. Sort p, 0, h, c in descending order.\nAnswer: c, p, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-9)\/3 + 58\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.6442466 to two decimal places.\nAnswer: -270.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 2 in decreasing order.\nAnswer: 3, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(68) + -3) + -1*(sqrt(68) - -2*sqrt(68)*3))**2.\nAnswer: 120*sqrt(17) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3187.111*-1.3\nAnswer: -4143.2443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22*-1*(-1)\/2. Let t(f) = f + 8. Let q be t(-7). Let l = w - q. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 0.4 (c) 15 (d) 3 (e) 319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:10 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1027 + -564. Let t = y - -217. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.32005 to two decimal places.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 3*b - 14*b + 1 + 3*b.\nAnswer: -34*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 16*w + 15. Let i(o) = -o**2 - 4*o + 26. Let k be i(-6). Give n(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3198\/7 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -23. Let q = -26.948 + x. Let y = q + -0.05200021. Round y to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1276 - -14a92b?\nAnswer: 14bba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117)*-1)*-4))\/((sqrt(45)*1)\/sqrt(5)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23189773 and 7?\nAnswer: 162328411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69, -144, -221, -300, -381, -464?\n\"Answer: -f**2 - 72*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322025 (base 6) to base 15.\nAnswer: -7c2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-168)\/16)\/7)\/(6\/(-434)). Let d = 111 - n. Let q = 0.1 + -0.2. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 = -5*p, -221701*p + 28 - 119 = -221678*p - 4*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**3 + 84*j**3 - 164*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(-63 - 1722*f**2 - 2*f**3 + 1722*f**2).\nAnswer: 6*f**3 + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132222002103 - 12?\nAnswer: 2132222002031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30115*f*u**3 + 480*u**3 + 16*u wrt f.\nAnswer: 30115*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 + 0.7. Put 0.1, -4, 0.3, y in increasing order.\nAnswer: -4, 0.1, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.90523ml in litres?\nAnswer: 0.05490523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -108116507.\nAnswer: 4\/108116507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 10\/834917 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95270, -95270, -95266, -95258, -95246?\n\"Answer: 2*d**2 - 6*d - 95266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/391 + -22997\/4692. Find the common denominator of m and 31\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269926 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284005, 283994, 283983, 283972, 283961?\nAnswer: 283950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/24 - (162 - 168)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/614576 and -29\/2166352?\nAnswer: 1171996432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 96, 110, 128, 150, 176?\n\"Answer: 2*m**2 + 4*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -635, -556, -461, -344, -199, -20?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 5.436?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19226397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/(p*p*p**(2\/5)))\/p)))**(-7\/9))**(-3\/25)\/((p\/p**(-1))**(2\/13))**(-31) assuming p is positive.\nAnswer: p**(15136\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -112967, -2, 228.\nAnswer: -112967, -2, 1, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7692*w - 7686*w + 102 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00246181 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -25. Which is the third biggest value? (a) -5 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/94 and 17\/20?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -604 - -604.4. What is the closest to -0.22 in 2\/3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/15 + (-101)\/60.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 6 = 22*w. Sort 1, w, 10, -1 in ascending order.\nAnswer: w, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2\/7)))**(-14) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 12*j**2 + 12601*j + 100804. Give p(-8).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + (12 - 7 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6225551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960840.4 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 41971.1753 to the nearest 10.\nAnswer: 41970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) 2\/5 (b) -19 (c) -5 (d) 0.5 (e) -2\/1215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0. Let j = 124.0177 - 0.0177. Is j < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:01 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 94. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2267.52 and -0.2.\nAnswer: 2267.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03934637984 to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2995693, -0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -957e0 - 31c?\nAnswer: -95afc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*c - 144 = -c, -5*c + 273 = 2*f. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/12 + 11*r**3\/6 - 3*r**2\/2 - r. What is the tens digit of n(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {d: 2, u: 3, l: 1, a: 5, q: 1, k: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n\/(((n\/(n\/(n*n**20*n*n*n))*n)\/n)\/n))\/n))\/n*n\/n**(-2\/7)*(n\/n**(-1\/6))\/((n*n*n**(-1\/6))\/n))**30 assuming n is positive.\nAnswer: n**(5380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 3005 = -317*y. Calculate the remainder when 27 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 14824*m\/9 + 59264\/9.\nAnswer: 2*(m + 4)*(m + 7408)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 1. Let m be c(1). Suppose f = -2*k + 7*k + 14, -k = -5*f - 2. Let g(j) = j**3 - 39*j**2 - 128*j + 79. Let x be g(42). Sort m, k, x.\nAnswer: x, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 + 1208\/7. Let f(d) = -d**2 - 9*d + 3. Let z be f(-9). Suppose y - 21 = 5*q, -z*q + 2*y = -0*q + 14. What is the closest to -2\/9 in g, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-3 - -1)) + -1. Sort 4, y, 1 in decreasing order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 - 1.9. Let t = -51 + 46. What is the second smallest value in 2\/15, w, t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.006 (c) -2\/17 (d) 1\/5 (e) -0.165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2822 and -0.3?\nAnswer: -846.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*367981.\nAnswer: 1839905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -9) + -11 + 8. Suppose -42 = -t*y - 3*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/8 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 6 = 5*d. Suppose 2*j - d*j - 8 = 0. Sort 2, -5, j.\nAnswer: -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 83*o**8\/336 - 6*o**5\/5 + 4*o**2 - 8. Find the third derivative of c(u) wrt u.\nAnswer: 4980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 4 - 5*c**2 + 11.\nAnswer: -3*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72234 + -938922\/13. Factor 18\/13 - a*i + 200\/13*i**2.\nAnswer: 2*(10*i - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 41. Let k be b(13). Solve -3 = -c - k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209986 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2249685362 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -508 (c) 0.5 (d) 0.6 (e) 33 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + 160\/70. Let j be (-30)\/(-189) - v\/(-7). Find g, given that -2\/9*g + 2\/9*g**3 - j*g**2 + 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 285*v**3 + 1359*v**2 + 783*v - 2430.\nAnswer: 3*(v - 1)*(v + 3)**2*(v + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 59 + 2*n - 17*n + 0*n as o + v*n and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + 27 + (65 - 136)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -112. Let p be 4\/(12\/(-15)) - c. Calculate the greatest common factor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from meyvwgmwv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 36. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12124440104 (base 5) to base 7.\nAnswer: -232342054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -16, -55, -130, -253, -436, -691?\n\"Answer: -2*k**3 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1156 + 750*c**2 - 63*c**2 + 2*c**4 + 515*c**2 - 121*c**2 wrt c.\nAnswer: 8*c**3 + 2162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173 (base 8) to base 4\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 21*x**5\/4 + 681*x**4 + 29604*x**3 + 876039*x**2\/2 + 1159323*x\/4 - 238521\/2 = 0.\nAnswer: -43, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h**2 - 4444*h + 9302. Let i(o) = -7*o**2 - 2242*o + 4652. Let b(z) = -5*i(z) + 2*x(z). Factor b(f).\nAnswer: 3*(f - 2)*(f + 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -134*o + 28. Let r(d) = -335*d + 69. Determine -22*f(w) + 9*r(w).\nAnswer: -67*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16758*m*p**6 + 4118*m*p**3 - 1981*m*p - p**2 - 2078*p wrt p.\nAnswer: -2010960*m*p**3 + 24708*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18243 is divided by 18176?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.15 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.92 + 0.08. Let k = -0.09 + -0.11. Let q be ((-36)\/(-42))\/(60\/56). Put q, l, k in decreasing order.\nAnswer: l, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 24. Let u be l(-2). What is the hundreds digit of (-14490)\/(-75) + (-8)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209084 is divided by 69672.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 36 = 5*h + t, 2*t + 8 = 4*h. Let o be h\/12 - (-2)\/6. Solve o + 0*x - 2\/3*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2439 + -2438.6. What is the second smallest value in u, 1\/3, 0.12, -0.4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/60 + (-1 - 0). What is the nearest to 1 in c, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 47. Let u be a(-6). Suppose g + 1 - 6 = 0. Let i = -3 + g. Sort u, -3, i in descending order.\nAnswer: u, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (335\/(-25) + 3)*5. Let x = r + 57. Suppose -4*g = 2*q - 62, 5*g + 3*q - 17 = 61. Solve -x*z - g = 0, l + l - 13 = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2538608 and 486.\nAnswer: 616881744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*p**3 + 288*p**3 + 286*p**3 + (p - 3*p + p)*(2*p**2 - 3*p**2 + 2*p**2) + 3*p**3 - p**3 - 4*p**3 + 3*p**3 - 2*p**3 - 2*p**3.\nAnswer: 461*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (1 - 8\/(-36) - -1). What is the second biggest value in y, -1203, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187275*m**3*p + 4842*p - 6 wrt m.\nAnswer: 561825*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7176 and 2756.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1339 * -1587.\nAnswer: 212.4993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(13) - (sqrt(1573) + sqrt(13))) + sqrt(65)\/sqrt(5) + 4 - (3 + (sqrt(26)\/(-2*sqrt(2)) - (sqrt(1053) + 2)))))**2.\nAnswer: -267*sqrt(13) + 103009\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + -2*(-15)\/(-6). Suppose -f*d = -4*d - 4*v - 915, 3*v = -4*d + 1220. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 1645 = 3563. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -892c (base 16) to base 8\nAnswer: -104454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 15*y**2 + 42*y + 188. What is i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 + -3.10000075. Round z to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 + 14*m + 9 + m**2 + 3*m**3 + 10*m - 13*m - 2*m**3. Give r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 24912*z + 398856. Give l(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*h = -3543, -4*h = 4*d - 1345 - 3411. Let x = 3470 - d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343887605 to the power of 1\/2, to the nearest integer?\nAnswer: 36659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*q = 252 - 317, -85 = 5*f + q for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -20*t + 15. Let l = 117 - 171. Let y be 1\/3*(l - -3). Is r(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*n + 5*d, 3*n - 5*d - 6 = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372\/5 + 75. Let z = 652 - 654. Which is the fourth smallest value? (a) r (b) z (c) -4 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/10*(-96)\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1690*r. Let l(t) = 9*t**2. What is l(n(f))?\nAnswer: 25704900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-168)\/77)*6. Suppose b*f - 240339 = 27995. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -23*q - 17. Let c(k) = 4*k + 3. Let l(n) = 34*n - 108. Let z be l(3). Determine z*s(u) - 34*c(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*c**4 + 259301*c**3 - 73441287*c**2.\nAnswer: -2376*c + 1555806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152916886 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655760944.\nAnswer: 2, 53, 127, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1616, -5825, -12840, -22661?\n\"Answer: -1403*y**2 - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*m + 2 + (-1 + 2*m + 0*m - 6*m)*(2028 - 1077 - 1082) as w + t*m and give t.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 5*a = 10*h + 46, 5*h = 5*a + 70. Suppose h*z - 13244 = -16*z. Is z a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50097959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5995406, 23981611, 53958616, 95926421?\nAnswer: 149885026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:27 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 - -137. What is the hundreds digit of o + (-432)\/(-3) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iqqijsqqtiqqt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sffv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o + 10032 = 10326 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714442318 to the power of 1\/3, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000 + -100100?\nAnswer: -1101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18583, -13411, -8239, -3067?\nAnswer: 2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -171\/2*b**2 - 9747\/2*b - 185193\/2 - 1\/2*b**3.\nAnswer: -(b + 57)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 78*m + 27*m + 23*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2)*u**(-3\/5)*u**7\/u**3 assuming u is positive.\nAnswer: u**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -120\/1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**2 + 10*r + 3*r**2 + 6*r - 16*r.\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -915*v + 91261. Determine f(100).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*c**3 - 3*c - 10*c**3 + 3 - 6*c**3 - 3.\nAnswer: 34*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-360) - 1\/4. Let p = -3.4 + -0.6. Let r = p - 1. What is the second smallest value in r, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*k. Let v(c) = -4*c + 3*c + 0*c**k + 3 - c**3. Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1*-6)\/((sqrt(121) + -1*sqrt(121) + sqrt(121) + sqrt(121))\/sqrt(11)) + 3)**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. What is the nearest to 1\/3 in 0.2, 3, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62075259 a multiple of 3700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28194 is divided by 9386?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 1\/3*k**3 - 3\/2*k**2 + 12*k + 0 + 1\/6*k**4. Let o(a) = a**2 - 2 - 2 + 3 + a. Determine -3*o(l) + r(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 4. Let a(v) = 3*v - 3. Let s(o) = 4*o**3 - o**2 + o - 2. Let d be s(1). Determine d*m(h) - 3*a(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, l: 2, k: 2, m: 1, x: 2}. What is prob of sequence ek?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbku when four letters picked without replacement from uxuxkbeuuuuuueuuxbuu.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2b506?\nAnswer: -2b50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhzz when four letters picked without replacement from {h: 2, z: 2, g: 2, m: 1, n: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 2*k**2 - 5*k - 11*k + 541.\nAnswer: -2*k**2 + 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h - 5*h - 136 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - -1) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.639 rounded to zero decimal places?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90008743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*f - 3*f + 10 = 0, 0 = -2*q - 3*f + 6. Let m(z) = q*z**2 + 7 + 7*z + z**2 + 0*z**2. Let r = -21 - -16. Determine m(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 120*i - 124*i + 16, 3*i + 4*u + 13 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2747b999 + 3?\nAnswer: 2747b99c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-2*-1)\/sqrt(8).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16531.\nAnswer: 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10)\/c*c\/c**(-7)*c\/(c\/(c**5*c))*c*((c**4\/c)\/c)\/c assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 0. Suppose -4*d + o*a = -0*d - 226, -3*d = 2*a - 161. Let j = -53 + d. Solve -j*y - 10 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s - 324*s = -85*s + 842*s + 53244 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 2*b + 179. Suppose -13*w = w. Calculate the remainder when j(w) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33243*s - 2*s**2 + 46*s**2 + 2*s**4 + 33242*s + (-2 - 2 + 2)*(2*s**4 - 2 + 2) as d*s**2 + f*s + a + x*s**4 + k*s**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 - 192. Suppose -19*n + 40 = -i*n. What is the remainder when n is divided by 46\/8*(1 + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570163014.\nAnswer: 2, 3, 89, 151, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1693, -3, 44\/3, 4\/5, 0.26?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 7. Let w = 13\/42 + 5\/14. Suppose -6*x + x + p = 14, 26 = -3*x + 5*p. What is the third smallest value in z, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**4 + 10132318*a**3 - 43906820*a**2 + 6754912*a + 27019584 = 0.\nAnswer: -1688724, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - -625 - (-2 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7935 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 921 and 0.05.\nAnswer: 46.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 8*k**2 + 9*k + 19. Let v be o(8). Suppose 0 = -4*d - 107 + v. Let b(f) = -f**3 + f**2 - 8*f + 2. Does 10 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -2. Suppose -g + 1 = 2*a - 7, 4*a - 16 = -3*g. Calculate the remainder when a is divided by (-7)\/(-3) + j\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)\/(-1 + 0). Let l be 2 - (4 - w) - -6. Suppose 79 = l*o - 96. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 1. Let v(h) = 39*h + 6. Calculate v(q) + 6*w(q).\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 58, -0.042, 3, 1?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-64)*((-8)\/42)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037424908 to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 1:53 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-7130*y + 2417*y - 22309*y) - 2*y + 2 - 2 as s*y + p and give s.\nAnswer: 54042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1. Let l(w) = -9*w + 2. Let s(r) = 9*r - 12 + 10*r - 9*r + 9. Let g(j) = -7*l(j) - 6*s(j). Let q = -23 + 24. What is q*g(c) - 3*u(c)?\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.67 - -28.07. Put 4\/5, -1, k, -2 in descending order.\nAnswer: 4\/5, k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u*y**3 - 4177*u*y**2 + 2*u*y + u + 3424*y**3 - 23 wrt u?\nAnswer: -2*y**3 - 4177*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.941 and -0.31?\nAnswer: 0.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*f - 1349 + 1639 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 8 - -5 - (2 + (-9 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8 = -2*j, 650*i + 3*j = 652*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*(2146200\/250)\/(-147)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + 9. Let k(t) = -6*t - 1. Let s be k(-1). Suppose -s*w + 2*w + 39 = 0. Calculate the remainder when r is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -275, 73.31, 3 in descending order.\nAnswer: 73.31, 3, -3, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((1404\/130)\/(-18))\/(6\/8)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -2*y. Calculate the smallest common multiple of (11\/11)\/(4\/12) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 27*p**3 - 3*p**2 + 7*p + 15. Let o(c) = 18*c**3 - 2*c**2 + 5*c + 10. Give 5*f(j) - 7*o(j).\nAnswer: 9*j**3 - j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**38\/((u**(2\/7)*u)\/(u*u*u**(-1\/8))) assuming u is positive.\nAnswer: u**(33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/8 (b) -1 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q - 6*q - 7*q**3 + 16*q + 2*q - 93 - 4*q wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - x + 2. Let b(y) = -y**2. Calculate -3*b(d) + n(d).\nAnswer: d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Suppose 1 = -3*t - 2, p*t + 123 = 5*i. Is 7 a factor of (-448)\/i*6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1 - 4*h**2 + 14*h + 3*h**2 - 11. List the prime factors of g(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, p: 1, t: 3, m: 2, h: 4}. What is prob of sequence bta?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 128, 137, 158, 197, 260, 353, 482, 653?\n\"Answer: g**3 + 2*g + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:59 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/27680 and 119\/960.\nAnswer: 166080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:06 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 m when four letters picked without replacement from {h: 2, m: 6, q: 5}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 98*l. Let a(i) = -7*i**2 - 3*i + 1. Let j(q) = -48*q**2 - 18*q + 6. Let y(g) = 12*a(g) - 2*j(g). Calculate w(y(t)).\nAnswer: 1176*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 14810*p**3 - 27424416*p**2 - 27409608*p = 0. What is p?\nAnswer: -3702, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 826 divide 2904777392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 bigger than 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13511004 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4 - c**3 + 199*c**2 + 4*c + 429374 wrt c?\nAnswer: 8*c**3 - 3*c**2 + 398*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99628 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 - -281901\nAnswer: 281900.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.26 (b) 2\/7 (c) -0.09 (d) 0.11 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 387*y**8\/56 + 965*y**4\/12 + 98*y - 2. What is the third derivative of r(o) wrt o?\nAnswer: 46440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -105. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*b + 76, 3*b - 10 = -x + 1. Let n = -6 + x. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2703*c**3 - 1957*c**3 + 1007*c**3 - 7865*c**3.\nAnswer: -11518*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(396)*3)\/(sqrt(24)\/sqrt(2)*6 - sqrt(12)))\/((sqrt(3) - (sqrt(21)\/(sqrt(63) + sqrt(7)) - sqrt(3))) + sqrt(3)*-1*-6))**2.\nAnswer: 6336\/24025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -154, -132, -90, -22, 78, 216, 398?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6903 + 6904. Let j(z) = z. Let n(h) = -3*h. Let m(k) = -8*j(k) - 3*n(k). Let a(s) = -3*s**2 + 15*s. Calculate p*a(f) - 15*m(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = -1. Suppose 0 = -4*u + 39 + r. 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: Evaluate 0 + -4 - (-5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -21. Suppose -3*b = -5*b + m. Suppose 5*f + 31 = 2*j - j, -j = 2*f - b. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1536\/208)\/48)\/(1 - 0)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6583398388 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-28))\/(9\/(-4)). Let i be (-18)\/(5*(-6)\/(-20)). Let z be (-8)\/i*9\/(-6). Is q not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-294)\/(-441)*(-1 - 2) - 1676\/(-858) and -17\/11.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 15*o**2 - 14 - 4*o**2 - o**2 + 6*o**2 + (2 + 3 - 4)*(-o - 2*o**2 + o))*(-1 + 1 - 1) to the form d + m*o**2 + p*o and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 6*i + 3. Give w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 + 9*y - 5. Let p be t(8). Suppose -3*z - 246 = -2*c - z, -p*c = -z - 365. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)*t)\/t*t**(-10)*(t\/(t\/t**(6\/11)*t)*t)\/(t\/(t**(2\/9)*t)))**23 assuming t is positive.\nAnswer: t**(-100556\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3764 - -133106485.03\nAnswer: 133106485.4064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -21. Solve 0*j = 3*j + 4*b + 11, f = -4*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020802 to seven dps.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:26 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-324)*1\/3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7201009*x - 3720739 wrt x.\nAnswer: -7201009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181555696 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1200710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28180 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -230.\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from vovnammnmmmv?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 1. Let z(j) = j**2 + 3*j + 1. Let q(o) = o**2 - o - 1. Let d(x) = -3*q(x) - z(x). Suppose 1354 = -5*l + 1334. Give l*d(b) - 9*s(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7733335*y - 5. Let i be d(3). What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7336\/6419 - (-418)\/14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and -174884.9?\nAnswer: -11542403.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -19. Suppose -d - 5*v = 2, -2*d - 2*v = 2*v + x. Is d less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/11, 5, -3, 3\/788 in decreasing order.\nAnswer: 5, 3\/788, -4\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3 + 19*g - 3 + 19*g + 2 - 33*g. Calculate n(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994 + 993 - 4*d**3 - 369*d**2 + 372*d**2 + 21*d**4 to the form g*d**2 + b*d + o*d**3 + j*d**4 + p and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 548*c - 1653. Let h be w(3). Sort h, -1, 83.\nAnswer: -1, h, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 2478735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q + 86*q - 107484 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -382 < -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2*n - 2. Calculate the remainder when (15\/(-9))\/(-5)*195 is divided by j(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 35. Solve -9 = 5*z - 3*o, 2*z + 3*o = 5 + m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (89 + 35 - 69).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -218*o + 28. Let j be r(1). Let t = j + 1135. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104370 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229 - 134. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/80*a**5 + 3*a**2 - 1\/32*a**4 - 1\/480*a**6 + 0*a - 1\/24*a**3 + 0. Factor j(q).\nAnswer: -(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 165 = -115. What is the remainder when 95 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25\/3 - -8. Let f = -3.4 + 2.3. Let m = -0.8 - f. Which is the closest to z? (a) -3 (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 f, and 1 i when four letters picked without replacement from fidfdddddddddfdd?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534670430?\nAnswer: 2, 5, 7, 7638149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.12 + 0.12. Let v = -1433\/9 + 159. Let c = v - -7\/18. Put -1, c, h in decreasing order.\nAnswer: c, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -7*l**5\/40 - 2*l**3 - 7*l**2. Let i(w) be the first derivative of o(w). Let c(m) = -509*m - 513*m + 1023*m. Give c(i(a)).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7508 - 7508. Let z(q) be the second derivative of 5*q - 1\/6*q**3 + 0*q**2 + 1\/30*q**6 + n - 3\/20*q**5 + 1\/4*q**4. Let z(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(3*p**2 + 5*p**2 + 3*p**2) - 4*p**2 + 2*p**2 + p**2 + (-4*p + p + p)*(-1 + p + 1).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*6*7*12\/168\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*m - 4*m**3 - 237*m - 208*m + 554*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) - 0\/2. Let q = 8 - 6. Let h(b) = -q*b + b**3 + 3*b - 4 + 6. What is h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24860 divided by -2.\nAnswer: -12430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1715*a**3\/2 + 29645*a**2\/4 + 4445*a + 645 = 0?\nAnswer: -2\/7, 129\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*g + 480, -72*i + 67*i = -3*g - 792. What is the highest common factor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4086*o - 510638 = -142898 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - 171\/(-36). Suppose -w*s - 24 = t - 5*t, t - 9 = 2*s. Let o be t\/(-7 + (-20)\/(-5)). Which is the third biggest value? (a) 0.1 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57887760 a multiple of 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 12*y**2 + 29*y + 8. Calculate the lowest common multiple of a(14) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 64. Is i at least as big as 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.139132 millilitres to litres.\nAnswer: 0.009139132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/y)\/(y\/(y\/(y*y\/y**(2\/7))))*(y*y**(-1\/2))**(-48))\/((y**(-1\/4))**(-25))**(-33) assuming y is positive.\nAnswer: y**(4859\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 296636279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 283444520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -11*x**3\/6 - 5*x**2 - 67*x. What is the remainder when w(-7) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -333\/16 (b) 1\/9 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - l = -5 - 2, 3*f - 13 = l. Suppose 7*m - 2*m + g - 17 = 0, g + f = 2*m. Solve -4*c + m*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 17*l**7\/30 + l**6\/30 + l**5\/60 + 235*l**4\/24 - 142*l**2. Find the third derivative of b(g) wrt g.\nAnswer: 2856*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 1) - (-75 - -74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073123.\nAnswer: 691, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25436 is divided by 1949?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674969841 and 7371.\nAnswer: 7371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 7. Does 11 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v**4 + 0 + 0*v**3 - 1\/30*v**5 + 1\/168*v**8 + 9*v**2 - 1\/60*v**6 + 1\/105*v**7 + 0*v. Suppose c(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339934014 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**5)*p**(-2\/7)\/p*p)\/((p*p**(-2))\/(p*p*p*p*p\/p**(-3)*p*p)))\/((p*p**(-2)\/p)\/(p**(-6)*p)*(p\/(p*p\/p**(-2\/3)))**(-8\/19)) assuming p is positive.\nAnswer: p**(4793\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + 5*j**2 - 4*j - 9. Calculate the remainder when o(3) is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 58. Let v be g(-18). Let x(w) = -39*w**3 + 8 - 7*w + w**2 + 3*w**2 + v*w**3. Let j be x(-4). Calculate the highest common divisor of j and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 11. Suppose l - h = -5. Suppose x + p + 586 = -4*x, -5*p - l = 0. What is x rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*d - 2 = -19, -4*i - 2*d = -24. Let y be 3\/2*(-14)\/i. Put 3, y, 1 in descending order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + 5 + -1 + sqrt(17).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 672\/19 - 4013\/114. Let p(r) be the third derivative of 0*r - 3*r**2 + n*r**4 + 13\/6*r**3 + 0. What is the derivative of p(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-58648)\/(-10248). Let t = 14\/61 + d. What is the common denominator of t and -29\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01724 times -76?\nAnswer: -1.31024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 2)*(-6*h + h + 3*h).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - 1)*-23)\/2. Suppose z = 4*r - r - 2*v, -4*r + 24 = -v. Suppose 0*x + 15 = r*x. Are x and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -855.35145 to the nearest integer.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6*j + 16 = -2*j, -2*j = -5*g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/3*(-16 + 19). Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739590137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i. Let w(b) = -10*b**2. Give j(w(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35473, -70939, -106403, -141865, -177325, -212783?\n\"Answer: r**2 - 35469*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -24. Let b = j - -10. Solve 0 = b*q + 11 - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-15)\/(-8)). Let l = -0.29 - 3.71. Which is the smallest value? (a) v (b) l (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6364377?\nAnswer: 3, 707153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 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: Factor -4*c**4 - 204*c**3 + 684*c**2 + 1964*c + 1080.\nAnswer: -4*(c - 5)*(c + 1)**2*(c + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 12*l - 1. Let m be w(11). Let f = m - -15. What are the prime factors of 0 - -97 - 2\/2*f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510001 - 4582421\/9. Let s = q + -842. Let x = 9367 - 281113\/30. Calculate the common denominator of s and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (592\/4)\/4. What is the highest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 - (-106 - (-16 + 11 + 4))) - 9.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 - 12453*z**2\/5 - 12854337*z\/5 + 142908513\/5.\nAnswer: -3*(z - 11)*(z + 2081)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6530 and 78?\nAnswer: 254670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 1, u: 1, d: 3, k: 1, e: 1}. What is prob of sequence dxec?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 6 + -8 + 15 + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 104.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1528\/3 + 43069\/84. Calculate the common denominator of 146\/(-8) - (-393 + 383) and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/2 - 21*l**3 - 3*l**2\/2 + 21*l = 0 for l.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 3*a + 1. Let t be c(-4). Let d be (7 + t)\/(-1 + 3). Let v be (9 - 3)\/((-1)\/(-2)). Solve -d*q - q = -v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8785974 divided by 102?\nAnswer: -86137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/9 + 74*t**2\/9 + 154*t\/9 + 26\/3 = 0?\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 19*b. Is 2\/4 + (-153)\/(-6) + b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179010*t**4 + 2*t**3 - 14920*t**2 + t - 4?\nAnswer: -4296240*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 25409 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (1 + 3)) + 6. Suppose -18 + 0 = -p*z. Solve 0 = -s - 6 + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556507 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9*s = 0. Suppose 2*t - 5*w + 13 = s, -3*t = -8*t - w + 8. Sort -0.4, t, 2\/23 in increasing order.\nAnswer: -0.4, 2\/23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -g - 11. Suppose -5*u = 2*c - 9, 0*c = -2*c - 3*u + g. Suppose 5 = -c*o + 4*m - 3, 2*m + 14 = 4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:31 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqkm when four letters picked without replacement from gkkmqmqgqq?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -46531747?\nAnswer: 46531744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5275, -10507, -15695, -20845, -25963, -31055?\n\"Answer: -s**3 + 28*s**2 - 5309*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 0*q**3 + 4*q - 8*q.\nAnswer: -2*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115769281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/11)\/x*x*x*x**(1\/8))**34 assuming x is positive.\nAnswer: x**(1547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*n + 12. Suppose j = 2*j - 2*d + 9, 4*j + 28 = 4*d. Put n, j, -3 in ascending order.\nAnswer: j, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 8 - (167 + -163).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, -781, 5\/3, 2, -38\/11 in increasing order.\nAnswer: -781, -38\/11, 0, 3\/4, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5241*s - 2086*s - 1 - 2050*s as l*s + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + v + 2081, -5*v - 7 = 18. What is the tens digit of d\/12 - 2\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((2 - -20) + -33).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308224 by 32.\nAnswer: -9632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:50 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4072 divided by 4.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 13*y - 24. Let q be l(-8). Let k(o) = 3*o + 65. Let c be k(-20). Suppose 4*j = 6 + 14. Solve -4*t = j*i - 13 - q, c = -5*t + 2*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*((-63)\/6 - 2). Let z = r - -127. Suppose 0 = z*h + 5*s - 53, -3*h + 2*h + 7 = -4*s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3341 - 3425. Do -86 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-6*m - 2*m + 5*m) - 3*m + 3*m - 2*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/4 + 5 + -2. Suppose 2*y = -0*m - 2*m + 18, w = 3*m - 5*y + 5. Solve -m*z + 3 = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 431638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*n + 744 = 48. Let c(b) = -b**2 - 8. Determine c(n).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1\/9*o**3 + 3*o - 1\/36*o**4 + 0*o**2 - 2. Let t(m) be the first derivative of u(m). Factor t(c).\nAnswer: -c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1461942 divided by 27?\nAnswer: -54146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 537030 and 780.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + i - 4 + 3*i - 7. Let h be z(5). Let y be (-9)\/(-1) + (5 - h). What is the greatest common factor of y and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = 4*x. Let c = x - -11. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 629948799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (546\/(-910))\/((-6)\/(-14))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52597, 105191, 157785, 210379?\n\"Answer: 52594*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -46. Suppose x = 3*l + 5*l - 32. Suppose 0 = -l*n - 11 + 23. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -245. Differentiate -14 - 50 - t*y + 31 with respect to y.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from qkrrtrzrttrttb.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 960 - 929. What is the greatest common factor of 899 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 2*b + 2*b + (-1 + 1 - 4*b)*(-2 + 7 - 2) - 2 + 2 - 2*b + (5*b + 0*b - 3*b)*(-6 + 3 + 2) - 3*b + 7*b - 2*b in the form d + v*b and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/12 + 4*a**2. Let j(p) = -25*p. What is j(d(z))?\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*(2*sqrt(187) - sqrt(187)) + sqrt(187)))\/(sqrt(1584) + 2*sqrt(1584)*5 + sqrt(1584)).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.4 + 11.5. Let i = 20 + -9. Let g = i + t. What is g rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -18477773?\nAnswer: -55433319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + n**4 + 153*n - 153*n + (0*n + n - 3*n)*(0*n**3 + 3*n**3 - 5*n**3).\nAnswer: 5*n**4 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 40. Let s be m(-16). Let g(c) = c**3 - 8*c**2 + 7*c - 11. Let q be g(10). Let y = q - s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + w**3 + 0*w**3)*(-7 - 6*w + 7) + w**4 + 0*w**4 + 2*w**4.\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2453.89 (b) 3\/7 (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 8) to base 14\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*y - 10*y + 84*y + 11*y.\nAnswer: 249*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/13, 13, 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/4599 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-14) + -4*(-8)\/(-32). What is the second smallest value in 5, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717*d**3 - 302*d**3 - 37*d**3 + 32*d**3.\nAnswer: -1024*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -3)*2)**2*-3 - 6*(5 + sqrt(343) + 3 + sqrt(343)).\nAnswer: -6960 + 564*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201.4 - 201.9. Which is the smallest value? (a) n (b) -3 (c) -0.025 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -9\/31 (c) 6 (d) -3\/2 (e) 13 (f) -0.12 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3012 + 1?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:46 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171067005?\nAnswer: 3, 5, 17, 131, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (0 - -1) + 3952\/2.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*q + 874, 398 = 3*s - q - 2192. Suppose 0 = 5*n - 11*n + s. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481270 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1 + 0*h - 7*h - 1 - 1. Let p(s) = 3*s + 2. Calculate 2*i(t) + 5*p(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66\/41 in -2\/13, 0.4, -43\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 25. Let a be q\/(-8) + 312\/32. Solve -4*o = -3*r - 4 + 15, -a = -2*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000011111010000 - 101110?\nAnswer: 11111000011110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 15}. What is prob of picking 2 l?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2613*u**2 - 7835*u - 5. What is h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + 23\/7. Suppose -d*v = 2*v - 75. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -65 + 32 - (0 - -16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 326288*w**3 - 14*w**2 + 174738490*w wrt w?\nAnswer: 12*w**2 - 1957728*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15417 - 15363. Suppose -4*v = 3*p - 62, v - 5*v + 5*p + 46 = 0. What is the lowest common multiple of r and v?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5430.191 to the nearest 100.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19678 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 139, 164, 1\/6, 6, -22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from hvrmmwv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 3*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77586 + -38978. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212\/5 - 638\/15. Let j = 18.2 + -18. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374.684696s to weeks.\nAnswer: 0.0022729575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14431300221 + 1?\nAnswer: 14431300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to -8\/44791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-3)\/6). Let q = -9870.9 + 9290. Let p = q - -581. Put p, -1\/5, 4, h in descending order.\nAnswer: 4, h, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(18))**2 - sqrt(2)) + -4 + sqrt(8) - sqrt(6)\/(-1*sqrt(12)).\nAnswer: 3*sqrt(2)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 279683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 66?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*-12*2\/(-4). Let u(p) = p**2 + 6*p + 2. Let g be u(-6). What is the derivative of 0*z**2 + z - z + 11*z**g - x wrt z?\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at most 75922\/3797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 5*o = 1185, -5*x + 1158 = 4*o. Suppose -4*b - x = n - 6*n, 0 = -5*n - 3*b + 262. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -549 - -417. Let q = 131.997 + b. What is q rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22530.\nAnswer: 2, 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 3\/4, -3\/8 in increasing order.\nAnswer: -3\/8, -2\/17, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdfdddddddfdddddfd. Give prob of picking 1 d and 3 f.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 288, 139, -8, -153, -296, -437?\n\"Answer: s**2 - 152*s + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 + 20*h + 109. What is l(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-29)*i\/(i\/((i*i\/i**29)\/i)))\/((i*i*i**(2\/5))\/(((i\/(i**(-1\/6)*i))\/i)\/i*i)))**(-13) assuming i is positive.\nAnswer: i**(23491\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-2))\/(6\/(-24)). Let j = t + -19. Solve -c = s - j*c - 14, c = -s - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 16*a**4 + 72*a**3 + 80*a**2 + 28*a = 0. Calculate a.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(14 + 4*a - 14)*((-2*a + 3 - 3)*(4*a - a + 0*a) + 12*a**2 - 16*a**2 - 7*a**2) in the form z*a**3 + v + b*a + p*a**2 and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (9\/15 + -1)*5. Suppose -86 = -u - r*t, -2*u + u + 71 = -t. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:00 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4573 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41848950 divided by -1430?\nAnswer: 29265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -6. What is the third derivative of -3*x**2 - 7*x**5 + 7*x**5 - 3*x**i - 2*x**6 wrt x?\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235560 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34809, 38, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f + 15 - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 3*o + 15, 10*q = 6*q - 4*o - 40 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1161244 and -79\/1876.\nAnswer: 1161244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8968*b**5\/5 + 8958*b**4\/5 - 8978*b**3\/5 - 8958*b**2\/5 + 2*b = 0.\nAnswer: -1, 0, 5\/4484, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 8696567 + 8696567.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.491 (b) -3\/4 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - j + 26 = 0, -4 = -2*y + 2*j + 4. Calculate the greatest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121202231 + -100?\nAnswer: -121202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdkz when four letters picked without replacement from jzdzack.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/28 (b) 17 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0712 - 0.1115. Let k = 58.9403 + r. Let v = k + -34. Round v to 0 dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082415 to 7 dps.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2292 + 4113. Let q = j + -1076. Let s(c) = 4*c**2 + c - 746 + c**3 + 0*c**2 + q. Give s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**8\/336 + 29*d**7\/210 + 29*d**6\/20 + 43*d**5\/30 - 815*d**4\/24 + 175*d**3\/2 - 3700*d**2. Determine o, given that b(o) = 0.\nAnswer: -21, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.7224621 + 5.721. Round a to 5 decimal places.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -5, -3, 340?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:53 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = -2*s + 2*h, -h = -5. Let v(t) = -t**3 - 2*t**2 + 4*t - 5. Calculate the remainder when v(s) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 13. Let x be t(10). Suppose 2*r - x = -3. Solve 3*m = g - 15, 0*g + 10 = -2*g - r*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*i + 13079 = 728*i - 29638 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 8. Let j be q(-5). Suppose 0 = -2*n + j - 4. Which is the closest to n? (a) 2\/7 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 7*f**2 + 4*f + 7. Let m be r(9). Suppose -w - 42 + 8 = 0. Let u = w - m. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 122?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**5)\/p*p*p**(-13\/5)*p*p*p**(4\/7)*p*p**(-4\/11)*p assuming p is positive.\nAnswer: p**(-921\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*(-4)\/32*-10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let w(b) = 0*b - 1 + 2*b + 5*b + b. Is 5 a factor of w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, 1 r, and 1 a when four letters picked without replacement from {s: 2, g: 1, r: 4, w: 2, j: 1, a: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 56*t + 5. Let u be g(-8). Let p(f) = f**2 - 5*f + 2. Give p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2126\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/70366 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) + 2*sqrt(99)))\/(5*sqrt(27)\/sqrt(3)) - (5 + -2*sqrt(396) + 4))**2 + 2.\nAnswer: -864*sqrt(11)\/5 + 27419\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v**2 + 24*v + 7. Let q(j) = 11*j**2 - 23*j - 6. Let k(t) = -7*q(t) - 6*y(t). What is the second derivative of k(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 18. Suppose y - 7 = -t. Suppose -9 = -3*p + y. Solve 8 = -4*j - i + 3*i, -5*j - p*i - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 3, -0.03, 5, 2\/13, -1\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*x - 1)*(-2*x - 2*x + x) + 57*x**2 - 1 - 54*x**2 + 84*x - 99*x.\nAnswer: 9*x**2 - 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -3103, -6979, -12405, -19381?\nAnswer: -27907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o**2 - 7*o. Let x(v) = 4*v**2 + 2*v. Let s(k) = 2*f(k) + 7*x(k). Let a(r) = 1. Let j(d) = -d**2 + 6. Let y(w) = 6*a(w) - j(w). Calculate y(s(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7382403 and 27068811?\nAnswer: 81206433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 4*w**2 - w**3 - 2*w**3.\nAnswer: -5*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*n - 10714, -h + 0*h - 3*n + 10714 = 0. Suppose -3*w - 3349 = -h. Suppose 5*g + 5*d - w = 0, g - 1980 = -3*g + 4*d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9)\/(y*((y\/(y\/(y*((y\/y**(-1\/8))\/y)\/y)))\/y)\/y))**(21\/2))**(-12) assuming y is positive.\nAnswer: y**(4095\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7 = 3*b, 3*u + 8 = -2*b - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1790061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7358*m**3 + 101734*m**3 + 10748*m**3 + 54*m**2.\nAnswer: 105124*m**3 + 54*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13318478 divided by 3?\nAnswer: -13318478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdv when three letters picked without replacement from {a: 4, g: 4, d: 1, j: 2, v: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25749701407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*c**2 - 61*c**2 - 77*c**2 - 63*c**2 + 253*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 - 6\/2. Let r(l) = -l + 1. Suppose 2*f - 2 = f. What is the remainder when r(u) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 83. Let j(d) = -535*d**3 + d**2 + d. What is the tens digit of j(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -550 + 554. Solve -3*f - p = -4*f + 4, -p + 1 = n*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s**2 + 2193*s + 234. What is l(-95)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150727961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11.5552913 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11296 and 9838816.\nAnswer: 9838816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*v**3 + 5*v**2 + 131*v wrt v?\nAnswer: 150*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:02 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-35))\/(6\/56). Factor -8\/9 - 2*k**2 - o*k.\nAnswer: -2*(3*k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z. Let f(o) = 9*o. Let h(m) = 4*f(m) + 7*t(m). Let k(p) = -7*p. Calculate h(k(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y = -34*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose 3*v = -c*v + 25. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15 = 0, 0*h = -5*y - h + 45. Find the third derivative of y*a**5 - 13*a**5 - 10*a**2 + 5*a**5 + 6*a**5 wrt a.\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22594*k**2 - 17249*k.\nAnswer: 45188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4896 - -11333. Suppose 4*o + 1363 = -m. Round o to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -27. Calculate the remainder when 9 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 76*l**2 - 9*l - 3. Let u be a(-7). Is (u\/6 - 2) + (-2)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 5*z**3 + 1 + 17*z**2 + 0*z**3 - 16*z**2. Let g be k(1). Let t be (-6)\/9 + g\/30. Put -0.3, t, -1\/3 in decreasing order.\nAnswer: -0.3, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q - q**3 + 6*q - 5 + 8*q**2 - 5*q. Let z be (-46)\/(-6) - (-1)\/3. Let s be x(z). Calculate the highest common factor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -510117, -510122, -510127, -510132?\n\"Answer: -5*j - 510112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (84\/96)\/(2\/16). Let a(o) = 4*o**2 - 12*o + 68. Does 39 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4c?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2181, -2174, -2185, -2226, -2309, -2446, -2649?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 41*p - 80 = 0. Suppose -2*h = -0*h - p. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1724 - 27*x + 1738 - 3501 - 6*x**2 + 0*x + 18*x**2 = 0. What is x?\nAnswer: -1, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -2, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -70. Let l(w) = 7*w**2 + 9*w - 10. Let n(c) = -c**2 - c + 1. Let d(t) = l(t) + 6*n(t). List the prime factors of d(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 8. Let g be q(7). Let r = 8 - g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose -o*n = 8 + 16. Let m be (1 - n) + (-6 - -3). Put 1, 3, m in descending order.\nAnswer: m, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(7 - 576\/84). Solve x*j = 81 - 81 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8093, -32615, -73479, -130679, -204209, -294063, -400235?\nAnswer: -522719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 1. Let h(t) = -2*t - 2. Let c = -571 - -572. Give c*h(x) + 2*v(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**5)\/z*z)*z)\/z**(-6))**23*z**3*(z**(2\/13)*z)\/z*(z*z\/(z\/z**(3\/2)*z))\/(z*z*z*z*z*z*z**(-1)*z*z) assuming z is positive.\nAnswer: z**(1135\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 133717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 893781922 to the power of 1\/2, to the nearest integer?\nAnswer: 29896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.28 - -69.22. Let a = k - 72. Let z = -3 + 1. What is the smallest value in 2\/7, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 61 + 63 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*j - 912, 3*f + 4*j = 4*f - 320. Suppose -40 - f = -4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 3. Calculate the smallest common multiple of n and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:01 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 5*q**2 - 5*q**2)*(-16*q + 16*q - 7*q**2) - 2*q - q**4 + 2*q.\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*y + 164*y = 115. Let c(m) = 16*m + 278*m**2 - 277*m**2 - 4 - y*m. Calculate c(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**4 + 5*j - 2. Let q(h) = h**4 + 8*h - 3. Let b(o) = -5*q(o) + 8*v(o). What is the first derivative of b(t) wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*x)*(1 - 1 + 2*x**2 + (-4*x**2 + 6*x**2 - x**2)*(-1 + 0 - 1) - 5*x - x**2 + 5*x + 5 - 5 - x**2 + 4*x**2 - 3*x**2 + 5*x**2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*x**3 + 60*x**4 + 38*x**3 - 78*x**3 - 74*x**4 - 5*x**2 - 2 in the form q + t*x**4 + s*x**2 + g*x + c*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3638689 and 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2. Let o(h) be the first derivative of 98*h**3\/3 - 91. Determine u(o(d)).\nAnswer: 19208*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -7*b**6\/180 + 4*b**5\/15 - b**4\/3 - b**3\/6 - 4*b**2. Let j(q) be the first derivative of a(q). Determine s so that j(s) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + y. Suppose o - a - y = 0, -4*o + 9*o = 3*a + 44. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290503661 divided by -186101\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose 0*v = 2*v - m. Solve -5*y + 6 = v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5454063 and 71864.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300\/(-90)*(-5 - 1) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 84, 197, 354, 555, 800, 1089?\n\"Answer: 22*t**2 + 3*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501.91 - 502. Let a = 5 + -3. What is the nearest to -1 in a, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w. Let t(p) be the third derivative of -31*p**5\/60 - 33*p**2. Give n(t(m)).\nAnswer: -124*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r - 21. Let c be t(-4). Suppose -1 = -2*h - c. Let a be 6 + -6 - (h - -1). Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from sxsxpppsxu?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10657*q - 36174*q - 8553*q - 34243*q - 3878*q)*(-3 + 5 + 0).\nAnswer: -144382*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14687 or -2541040\/173?\nAnswer: -14687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q - 18 = -3*s, -3*s + 4*q - 3 = 0. Suppose h = s*j + 21, 0*h - j - 27 = -2*h. Solve 4*k + h = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4662460999 to the nearest integer?\nAnswer: 68282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-182) - 301\/13. Let f = 19 + n. Let q(l) = -l**3 - 6*l - 10. Does 39 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/16)\/(b*b**(-1\/16)\/b)*b**22*b**(-3\/19))**2 assuming b is positive.\nAnswer: b**(3339\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -1)\/((-3)\/4). Let l(c) = c**2 - 16*c + 22. Let z be l(15). Let o = z - p. Solve -5 = -b + o*s, b + 2*s = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -63*c**5 + 57*c**4 + 132*c**3 + 12*c**2 = 0.\nAnswer: -1, -2\/21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337 - 128. Let d = 219 - t. Is -5 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430949931 to the power of 1\/4, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.43 + 287.57. Let i = y + -284.98. Let u = -7.01999481 + i. What is u rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/67, -0.48, 0.3 in increasing order.\nAnswer: -0.48, -6\/67, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5623 or 5495?\nAnswer: 5495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t = 1269 - 1989. Let r(u) = -9*u + 54. Determine r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = -20*n - 245. What is the remainder when 103 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32574, -32439, -32184, -31797, -31266, -30579, -29724?\nAnswer: -28689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0053 and -0.3.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -87) + -63 - 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 10*o**3 - 15 + (4*o**2 - 4*o**2 + o**2)*(0*o - 4*o + 3*o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2664, 3969, 6144, 9189, 13104?\n\"Answer: 435*v**2 + 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123961078*o**3 - 229137870*o wrt o?\nAnswer: 743766468*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1\/2, 0.112, -0.1, -0.09, -0.16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {g: 1, k: 1, r: 1, w: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w + 3*w - 2 - 4*w. Let b(m) = -m**3 + 24*m**2 + 27*m - 49. Let i be b(25). Let s(x) = -x + 1. Calculate i*o(r) + 2*s(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729197396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 0, 5*l - 4*l = 2*f. Suppose l*t - 33 = t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 7382826*u - 4542176645523 = 0. Calculate u.\nAnswer: -1230471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 13 in increasing order.\nAnswer: -6, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 47*m**2 - 2*m - 11. Let k(x) = -23*x**2 + x + 6. Let w(n) = 6*c(n) + 11*k(n). Let y be w(-1). Let a = y + -15. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 - 79 + 79 + (-5*k - 2*k + 5*k)*(4*k - 5*k + 0*k) + 2*k**2 - k**2 - 2*k**2)*(-k + k + k**2) as m*k**2 + x*k + y + l*k**4 + w*k**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103202 - 11?\nAnswer: 103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*o - o. Suppose 2*x = u, -o - 1 = -2*x + 3*u. Suppose 2*g = -s - 0*g + 8, 4 = 2*s + g. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 4*w. Suppose 2*z - 54 = -w*m - m, 2*m - 21 = z. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5418426 take away 108?\nAnswer: 5418318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219147 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**11\/(n**(-10)\/n))\/(n**16*n**(-2\/3)))**(1\/52) assuming n is positive.\nAnswer: n**(5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiujajiujkajuauj. What is prob of picking 1 j, 2 a, and 1 u?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 233.366 and 32841.\nAnswer: 33074.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 + 24 = -10*v - 49 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11019 is divided by 579?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -63963 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4156*d*j*o**2 - 2*d + 55*j*o**2 - 5*j*o + 2*o**2 + 2*o + 241460 with respect to j.\nAnswer: 4156*d*o**2 + 55*o**2 - 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 949700729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 50*l. Let a(o) = 12871*o**2 + 1464*o - 1464. Let q(x) = -132*x**2 - 15*x + 15. Let g(k) = 5*a(k) + 488*q(k). Determine g(p(m)).\nAnswer: -152500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 10:28 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-140)\/((-4)\/((-8)\/(-1))) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 108. Solve 4*w - 4*y = -j, -w - 2*y + 7 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 56544?\nAnswer: 169632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121222 (base 3) in base 9?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 6 + 628\/48)\/(-1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69692246*k**5 - k**2 + 529220*k + 501 wrt k?\nAnswer: 4181534760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 19\/2. Sort -0.14, 3, p, 0.\nAnswer: -0.14, 0, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 15*z - 4024 = 3776. What is the smallest value in z, 1.5, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + 4 + -11. Let s = y - -12. Suppose -s*z = -8*z + 225. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 2*m**2 + 3*m - 1. Let j be p(2). Let b be 1\/((-3)\/j + 0). Let q(n) = n + 2. Let a be q(-9). Is a at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*6\/(-4). Let f be (12\/(-10))\/(v\/(-10)). Solve -u = -3*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36390 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 334 - 324. Calculate the smallest common multiple of 38 and 13\/(-65) + 52\/v + 3.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 1.9. Let o = x + 2.8. Let u = 150 + -1346\/9. What is the second biggest value in -2\/15, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -37. Suppose 2*n = d + 112, -3*n - 2*d + 104 = -71. Let p = 47 - n. Sort 2, v, p in descending order.\nAnswer: 2, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 236*w**4 - 52 + 238*w**4 - 337 + w**2 - 473*w**4 to u + n*w + h*w**3 + y*w**4 + j*w**2 and give u.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x**3 + 24*x**3 - x**2 - 6*x - 27*x**3 - 16*x**3.\nAnswer: -93*x**3 - x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 170*w - 236. What are the prime factors of n(-65)?\nAnswer: 83, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23265\/(-693))\/(-47))\/(17\/(-7))*1*2.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 divided by 2496?\nAnswer: 1613\/1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101001 - -101101010?\nAnswer: 10110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 + 1 = 0. Which is the nearest to 0.1? (a) u (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*j - 34, -16 = -81*j + 83*j. Solve 0 = -8*f + 12*f + k*s + 24, -3*f - 3*s = 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 8, p: 4}. What is prob of picking 1 j and 2 p?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68*k - 23*k - 18*k)*(k + 1 - 1 - 2) to j + v*k + l*k**2 and give l.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49042034*d**4 + 37378235*d**2?\nAnswer: -1177008816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 189952, 189955, 189960, 189967, 189976, 189987?\n\"Answer: f**2 + 189951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3444708 and 15\/4.\nAnswer: 3444708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16)\/((-20)\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 1, 9, 2, 0.\nAnswer: 0, 1, 2, 9, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 - -1) - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364 - 727\/2. Which is bigger: l or -3\/352?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195589*g**3 - 1 + 195599*g**3 + 1.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/((-1)\/6). Let k(n) = -h*n + 10 - n - 1 + 4*n. Let m(a) = a + 6. Let y(r) = -5*k(r) + 7*m(r). Differentiate y(u) with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83 and 189323.\nAnswer: 189323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*i**3\/5 + 53*i**2\/5 + 62*i\/5 - 8\/5.\nAnswer: -(i - 4)*(i + 1)*(17*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10325 (b) -47\/6 (c) -7\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2189180 and 49970?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7386)\/215425*14\/(-3)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 50, 52 in descending order.\nAnswer: 52, 50, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1470 = -3*r, -12*r = -16*r + 20. Calculate the remainder when t is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-5))\/((-2)\/(-5)). Let u be (-24)\/9*r\/(-4). What is l in u*l - 2 - 2*l**2 - l**2 + l**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -3.4.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -110*h + 26. Let c be i(0). What is the greatest common divisor of c and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.804*16\nAnswer: 12.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.23169 decades to months.\nAnswer: 3387.8028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 5*k - 1 + 7, -9 = 3*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 10*q**2 + 3*q - 97. Determine u(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18766 is divided by 16213?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 19\/(-7). Suppose h - 4*s = -55 + 80, 4*s = 3*h - 27. Sort r, -23, -2, h in increasing order.\nAnswer: -23, -2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2817, -5614, -8389, -11130, -13825, -16462, -19029, -21514?\nAnswer: -23905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787946 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y = -199, 5*v + 199 = 5*y - 146. List the prime factors of 12\/(-6) - (v - -3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h + 4*p - 1, 5*p - 45 = 5*h. What is the nearest to 7 in 4, h, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43400126?\nAnswer: 2, 7, 11, 23, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214996267?\nAnswer: 19, 839, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**2 - 25*q**2 + 70*q - 146*q + 74*q in the form i + p*q**2 + y*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 26. Let v(l) = -15*l**3 + 2*l**2 + 7*l + 2. Let s be v(u). What is the hundreds digit of (-20)\/14 + 1 - 73320\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82879 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87780.21ml?\nAnswer: 87.78021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6141*0.5.\nAnswer: -3070.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6*y*y**(3\/2))\/(y**(3\/8)*y*y**(3\/7)\/y*y) assuming y is positive.\nAnswer: y**(431\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 17. Calculate the remainder when 2 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320603971.\nAnswer: 617, 2140363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1528, 6132, 13800, 24526, 38304?\nAnswer: 55128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let a(n) = -3*n. Let w(v) = v**2 + 10*v + 10. Let y be w(-8). Let z(g) = -g - 3. Let t be z(-4). Calculate t*a(f) + y*u(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7565 = g - 6*g. Let i be 1\/3 + g\/(-51). Let z = i - -3. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 2263.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 396, 323, 234, 123, -16?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6\/(-15))\/(-1)*(128 + (-11 - -3)) and 216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62056936 divided by 171428\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -4, 4.\nAnswer: -8, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 1, k: 5, r: 2, h: 1}. What is prob of picking 2 r, 1 h, and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.01356 minutes to seconds.\nAnswer: 120.8136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.126 and 202.\nAnswer: -25.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 - -7.33. Let f = r - -2.57. Let q = -7\/36 + -1\/18. Put q, 2\/13, f in descending order.\nAnswer: f, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:26 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 0.1, 7\/4, 1, -1.025.\nAnswer: -5, -1.025, 0.1, 1, 7\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 6 - 4 = 4*y, -4*y + 15 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 459114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027, -1041, -1057, -1075, -1095, -1117, -1141?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:56 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 35. Suppose -3*o - 6 + 1 = -s, -2*s + 2*o = -10. Let a = s + r. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 320*o**2 + 3582*o + 5512049 wrt o?\nAnswer: 640*o + 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 422\/60 + ((-68)\/12 - -5). Which is smaller: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 111 + 5 = 2*b, 5*b = -4*p - 219. Let y be (914\/6)\/((-8)\/3). Let v = y - b. Calculate the common denominator of 15\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -0*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j - 19. Let b(s) = 15*s - 36. Determine -6*b(q) + 11*l(q).\nAnswer: -2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 9*w**2 + 6*w + 9. Let t be h(-10). Let n = -33 + t. Suppose -d = d - n. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 838452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7406 divided by 322?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1644\/28 - 4\/(-14). Let c = 17 - h. What are the prime factors of ((-6)\/9)\/(4\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 66220860?\nAnswer: 132441720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y + 5*y + 15*y - y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4030 and 60088.\nAnswer: 121077320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310110 - -2?\nAnswer: 310112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185470844*n - 156608276 wrt n?\nAnswer: -185470844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + x**3 + 157*x - 2*x**2 - 158*x.\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1367258065 to the nearest integer?\nAnswer: 36976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*m + 286*m + 173*m - 508*m as n*m + o and give n.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/6 - 5*s**3\/3 + 27*s**2 - 5*s. Let k(y) = 4*y**2. Determine r(k(u)).\nAnswer: -16*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748*y = -1793*y + 45. Which is greater: y or -3\/15934?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.6, 1, -0.5, -0.03, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6687 + 5?\nAnswer: 668c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-12) - -2)\/(2\/(-24)). Solve y + z + 21 = 5*y, -i*y + 5*z + 41 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.88 and -8.\nAnswer: -79.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*46.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-27)\/6*2. Suppose m = 5*m - 16. Suppose -y = -m + q. Which is the third biggest value? (a) 0 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f**3 - f**3 - 2*f**3)*(372*f - 149*f - 100*f) in the form u*f + j*f**2 + n*f**3 + t*f**4 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -20. Suppose -v = -3*v - i. Let r be v\/(-21)*(-5)\/(-15). Is 1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1040937134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 8624?\nAnswer: -8628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 26 (c) -0.5 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(3 + 1*sqrt(1573)) + 1*((sqrt(1573)*-2 - sqrt(1573)) + 3) + -5 + 2 + 1)**2.\nAnswer: 1078*sqrt(13) + 77126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 47 = -8*v, -31*x + 3*v - 58 = -26*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17826900251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/143301 and -2\/3873?\nAnswer: 143301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.157 and -3.24?\nAnswer: -0.50868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*b - 1126*b = -32739 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 891*a**4\/4 + 42*a - 429. Differentiate k(d) wrt d.\nAnswer: 2673*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12582 and 932.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52975 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -965.8.\nAnswer: -975.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*p. Suppose j = -p*j. Which is smaller: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 473235630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 7 - 3. Let r be (40\/12)\/(f\/(-18)). Let k be 7\/(-28) + 9\/4. Solve -k*n + r = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 11*i + 25, 206116*k = 206111*k - 3*i - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 55\/(-22). Suppose -4*n = -5*n + s. What is the lowest common multiple of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in 2\/15, -0.061, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.93 + 8.33. What is the nearest to -22 in a, -0.4, -2\/13, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/2)\/x)*x*x\/x**(2\/3)*(x\/((x*x*x**(3\/4)*x)\/x))\/(((x**5\/x)\/x)\/x))**(-16))**16 assuming x is positive.\nAnswer: x**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 6*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:57 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z - 1. Let p be w(1). Suppose b + 13 = -b + o, o = 3*b + p. Let a = 15 + b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -194, -434, -770?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 - 0.44. Let p = 7 + -7.08. Let y = m - p. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1077163 and 1475.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 15) to base 3.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 20 (b) -0.02 (c) 2 (d) 0.012 (e) 1\/2 (f) -1 (g) -2.98\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-25) + 595658\/120. Let l = u - 4960. Calculate the common denominator of l and (5\/14)\/(10\/(-110)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*s - 2*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 4279*n**3 - 316401*n**2 - 5637209*n + 5957888.\nAnswer: (n - 4352)*(n - 1)*(n + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243 - -53. Let c = 317 + d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -22*s + 1395. Suppose 9*f - s = -5*m + 14*f, -f = m - 99. What is the lowest common multiple of 9 and m?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 4) + -16 + 5 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151590103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31581 is divided by 6152.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 41*r = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/(-42))\/(-3))\/(11\/((-77)\/2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126571*l = 126933*l - 44888 for l.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + q**5 - q**5 + (8*q + 21 - 5*q - q)*(2*q**4 - 2*q**4 - 2*q**4 + (-1 - 1 + 3)*(q**3 - 2*q**4 - q**3)).\nAnswer: -9*q**5 - 84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 5*y - 12. Determine q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3352412003 - -4?\nAnswer: -3352411555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = h + 232, 2*h + 2*t + 131 = -313. Let z = -3585\/16 - h. Does -0.1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxdbf. What is prob of picking 1 d, 1 b, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93646648.2 rounded to the nearest one hundred thousand?\nAnswer: 93600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*x - 5*y, -4*x + 3*y + 0*y - 14 = 0. Sort 0, 4, x in increasing order.\nAnswer: x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -995 + 1748. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -27.3. Round l to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1180075 + s**4 - 26*s**2 + 1180075 - 29*s**3 to n*s**3 + a*s + g + q*s**4 + i*s**2 and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520059 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 14. Let z be r(-9). Let p = 65 + z. Suppose 2*a - 3*u + 0 - 1 = 0, -p = -5*a - 5*u. Calculate the least common multiple of 46 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694830518.\nAnswer: 2, 823, 2244733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 + 297. Sort -0.5, d, 0.35, -4\/9 in ascending order.\nAnswer: -0.5, -4\/9, 0.35, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2259.02 + 2259. Which is the third smallest value? (a) 19 (b) j (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -0.12. Is b smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vvlfvou?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m. Suppose 2*b + 7 = 3*h - 2*h, -h - 2*b + 15 = m. What is the highest common factor of 121 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)*i**(-1\/2) assuming i is positive.\nAnswer: i**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.8 - 35. Let x = -11.1 - o. What is the nearest to x in 5, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/39928196 and 67\/1050742.\nAnswer: 39928196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -303*q + 303*q + 12671*q**4 + 43871*q**4 + (0*q**2 + q**2 + 0*q**2)*(2*q**2 - 4*q**2 + q**2).\nAnswer: 56541*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.004?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 71 = 5*i, -p - 120 = -4*p - 3*i. Suppose -89 - 83 = -p*d. Solve 3*w = w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = -8. Suppose s*p + 2*l = 38, -5*l = p - 0*l + 4. Calculate the remainder when 65 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.56 and 338?\nAnswer: 527.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9242, -9238, -9240, -9254, -9286, -9342?\nAnswer: -9428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264782.\nAnswer: 2, 7, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*t + 10 - 1, -4*t - 15 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19682*-170.38.\nAnswer: 3353419.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 9*g - 5. Let z(q) = 11*q**2 + 26*q - 14. Let c(v) = 17*y(v) - 6*z(v). Let d be c(-6). Suppose 4*l - d = -5. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(1*6*(sqrt(208) + -4)*2*-6)**2.\nAnswer: -995328*sqrt(13) + 6967299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00870366733 to seven dps.\nAnswer: 0.0087037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1027245 * -2\nAnswer: 2054490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3784125063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335*i + 2339*i = -r + 8, 2*i + 5*r + 32 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 3*m + 3*m + 188034 - 188034.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1285*b - 1. Let f be y(-6). Suppose 162*k = 167*k + 55. Is (2 - 1)\/(k\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36\/5389?\nAnswer: -36\/5389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(440*l**3 + 455*l**3 - 836*l**3) + 1638*l - 6*l**4 - 1638*l.\nAnswer: 53*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17529, 35225, 52921, 70617?\nAnswer: 88313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*n - 8 = 7, 0 = n + 2. Solve -c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*q = 569 - 545, -3*q = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -10 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(81)*2)\/sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 123347.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:16 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.16 - -550563?\nAnswer: 550537.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {t: 6, b: 1, k: 2, e: 3, x: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 104, 2\/7 in descending order.\nAnswer: 104, 2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.32 and 32.\nAnswer: 32.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/2 - 30*j**4 - 156*j**3 + 359*j**2 + 3705*j\/2 - 2025 = 0.\nAnswer: -54, -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*(-18)\/(-2)*5\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -384*c - 4606. Let h be p(-12). Do 49 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.5 - -54. What is s rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1835*c - 7572 = -1847*c. What is the remainder when c is divided by 107?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/7*z**2 - 2*z - 6\/7*z**3 - 4\/7 = 0. Calculate z.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*g = 26 + 24, -3*p = g - 120. Suppose -96 = -43*n + p*n. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose 3 = -3*x - n. Let v be 0 + 1 + (-4)\/x. Solve j - v*z - 9 = 0, -2*z + 4*z = 2*j - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-126))\/(139\/6255)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 285, -1318, -5741, -14394, -28687, -50030?\n\"Answer: -235*z**3 + 42*z + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 25\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**2 - 3 + (3 - 4 - 1)*(0*q**2 + 0*q**2 - q**2) - 7*q**2 - q**2 + 2*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.1 - -71.3. Which is the nearest to k? (a) 1\/4 (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4\/7 - 6*v**3\/7 + 60*v**2\/7 + 198*v\/7 + 135\/7 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 - 126954.9?\nAnswer: -127219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5750, 11501, 17252, 23003, 28754, 34505?\nAnswer: 40256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 684519.5l?\nAnswer: 684519500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 93*u**3 + 39 - 12 - 27.\nAnswer: 93*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43087, 86181, 129263, 172327, 215367, 258377, 301351?\n\"Answer: -m**3 + 43101*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/9 - -35\/18. What is the third smallest value in -0.2, j, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)\/((-3)\/21). Let u(c) = 6*c - 5. Let q(o) = 17*o - 25*o + 3 - 9*o. Let h(k) = 32*k - 7. Let x(j) = -4*h(j) - 7*q(j). What is f*u(m) + 5*x(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, j: 4, q: 4}. Give prob of sequence xx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 - 7*u**2 + 4*u - 3. Let f(y) = y**3 - y**2 + y - 1. Let g(d) = 5*f(d) - p(d). What is o in g(o) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.087, 7, -17 in descending order.\nAnswer: 7, 0.087, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/79200 and 61\/4400.\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:34 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29685.\nAnswer: 3, 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3099.5 + 3100. Put t, -3\/7, 2, 91, -0.2 in decreasing order.\nAnswer: 91, 2, t, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*u**2 + 0*u + 3*u + 141*u**2 to d*u**2 + k*u + a and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 1 - (-2587 + 2623)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -425 - 50331?\nAnswer: -51056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2098 divided by -19720\nAnswer: -1049\/9860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 87494*i - 398. Let q be n(17). Round q to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-8) - 1)*-6. Suppose 57*k - 56*k = n. Let v be 1 - (-15)\/k - 1. Is v > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 463 = 37*w. Suppose i = 10*z - 15*z + w, -3*z + 3*i = -285. What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 133*x - 1991. Let r be o(15). Solve 0 = -3*s - 2*a - 22, -3*s - 5 = r*a + 27 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1726)*520\/8840\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 35*g + 94.\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4752 is divided by 143?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 6.\nAnswer: 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = -5*x + 75, 3*p - 243 = 3*x. Let u = p - 77. Solve 2*h - 5*g = -10, -u*h - 2*h - 3*g - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -92*q**6\/15 - q**4\/12 + 389*q**2\/2 + 97*q. What is the derivative of l(p) wrt p?\nAnswer: -736*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5)*a*a\/(a\/(a**(-5)\/a))*a)**28 assuming a is positive.\nAnswer: a**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 8*s. Let y = -120 - -126. Let p(k) = 5*k**2 + 9*k. What is y*h(w) + 5*p(w)?\nAnswer: w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/3)*q\/(((q\/(q*q**(-3\/5)))\/q)\/q)*(q**2*q*q)**(-19) assuming q is positive.\nAnswer: q**(-1069\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -25*t**2. Let m(q) = 3*q - 7*q + 4*q - 2*q. Give m(s(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 + 3*r - 3. Let x be b(5). Let s = x - 47\/4. Let a = 0.29 - 0.39. Which is greater: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13a95c - -7b?\nAnswer: -13a8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1827933 at most as big as -1827933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15951630?\nAnswer: 2, 3, 5, 619, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 20. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*j - l + 1, -2*l = 4*j + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 701327 and 33?\nAnswer: 2103981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 6 = 0. Let t(i) = -3*i + 2 - 2 + 2. Calculate the smallest common multiple of 3 and t(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = g - 5*n, -2*g - 286 = -n - 285 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*c - 821*c = -y - 3, -34*c - 29 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 16) to base 7\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*n - 8*n + 5, -4*z - 44 = -4*n. Suppose -4*m + n*m = 6. Suppose -7 - 47 = -m*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/2 (b) -0.28 (c) 2 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -205. Let k = -162.69 + l. What is k rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3891*z**2 + 2 + 2*z + 3882*z**2 + z**3 - 2*z**3 to i + n*z**2 + y*z + s*z**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 - 8 = 0. What is the tens digit of 1\/i + (-73)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 26. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003141245.\nAnswer: 3, 5, 31, 2157293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.294636246.\nAnswer: -0.589272492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-626)\/76*(-27764)\/(-55). Let h = 4162 + m. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 17. Suppose -d + 0*h + 13 = -t*h, -20 = 4*h. Find the third derivative of -12*x**4 + x**d - 7*x**4 + 32*x**2 - x**3 wrt x.\nAnswer: -456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 817 - 432. Let m = z - -846. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 + 2*q - 1. Let y be d(2). Let h be (10\/(-3))\/5*y. What is the units digit of 2\/h - 453\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 6895*q**2 + 23429056*q + 2362737664.\nAnswer: (q - 6944)**2*(q + 98)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from elrlrlrrrblrlr.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 3 + 6)*(-8*n - 9*n + 23*n) - 4*n + n + 4*n)*(-5*n + 0*n + 4*n) in the form t*n + q + l*n**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from tvnrzvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 3749359*x.\nAnswer: x*(x - 14997436)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 1552614.\nAnswer: 69\/517538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + 8*c**3\/3 - 3*c**2 + 5*c + 58. What is b(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(9\/(-14))*(65 - 68). Let k(v) = -11*v + 3. Is k(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4. Let m be j(-2). Suppose 8 = -4*a, -13 = -5*t - a + 10. Let y be (9\/5 - 1)*t. Sort m, y, 1 in ascending order.\nAnswer: m, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 11. Let s = 5 - 10. Let u be w(s). Is u\/2 + (-146)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -13\/2*n**2 - 7\/3*n**3 + 0*n - 6. What is the second derivative of f(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 10*p + 12. Let o(d) = -d - 4. Let l(k) = 3*k + 15. What is p*l(t) - 15*o(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -158040 and 8902.5737.\nAnswer: -149137.4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -134*b**3 - 77*b**2 + 7. Let g(u) = -67*u**3 - 39*u**2 + 4. Let t(c) = 5*g(c) - 3*k(c). Find the third derivative of t(m) wrt m.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68369*l = 68365*l + 4*v + 80, v + 17 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1185, -1177, -1169, -1161, -1153, -1145?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 13.05. Let f = r + -0.05. Let j = f - -0.5. Which is the third biggest value? (a) j (b) -0.2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/13, -16, 3, -16\/5 in ascending order.\nAnswer: -16, -16\/5, -2\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8941 divided by 634\nAnswer: 8941\/634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -0.4, -0.2, 24 in descending order.\nAnswer: 24, 5, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134563 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(102)\/sqrt(6) + (sqrt(204) + -2*sqrt(204))\/sqrt(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 39*r = -2*f - 6, -r = 4*f. Let z(y) = 1 + 0*y**3 - y**3 + 353*y - 352*y. Let d(b) = -2*b**3 - b**2 + 4*b + 5. What is f*d(v) + 4*z(v)?\nAnswer: -2*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 4*l + 21. Let r(i) = i**2 - i. Calculate -n(s) - 4*r(s).\nAnswer: -s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001574462 to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 25788780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 212*h + 40 = -207*h + 414*h, -h - 8 = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7387 or 1?\nAnswer: -2\/7387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)\/(l*l\/l**(-1\/4)))**6\/((l\/l**(-1\/4))**(-30\/13)\/((l\/(l\/(l*l\/(l\/l**(-5)))))\/(l*l\/(l\/((l*l**(2\/5)\/l)\/l))))) assuming l is positive.\nAnswer: l**(-11516\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 3*n**3 - 4*n**3 + (1 - 1 - 2)*(n**3 - 5*n**3 + n**3) + 1 - 2*n**3 - 10*n + 13*n - n to the form z*n + d*n**2 + a + q*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by 3?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 2*k + 266. Let w(c) = 3*c**2 - 5*c - 531. Give -10*j(i) - 4*w(i).\nAnswer: -2*i**2 - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.22987 rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4478*h*x**3 - 18*h*x**2 - 7*h*x + 2*h - 2*x + 283 wrt x.\nAnswer: -26868*h*x - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 - 10486*h**2 - 20252458?\nAnswer: -6*h**2 - 20972*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -21. Suppose -4*a + a + 81 = h. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 + 9*w - 5. Let i(o) = -3*o + 3. Let c be i(4). Let r be 3\/6*(c - 5). Does 16 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25431572302 - 30\nAnswer: 25431572272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(2 - c - 2) - 3*c - 86 + 86 + 5*c + c - 5*c + (0 + 1 + 0)*(-6*c + 4*c + 0*c) to the form n + w*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-5)\/140)\/(1\/(-1)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/22*3\/(-4)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.3 - -39. Let m = 4 - w. Sort 2\/5, m, 2\/15.\nAnswer: 2\/15, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/((-90)\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27598 and -3.723?\nAnswer: -102747.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -94, 21, 2 in decreasing order.\nAnswer: 21, 2, 1, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5*(-245)\/14. Let o(y) = -y**3 - 7*y**2 - 7*y - 6. Let v be ((-30)\/(-12))\/((-1)\/2). Let a be o(v). Is a at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -349?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -340?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 546 divided by 6\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-379)\/((3\/(-3))\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a - 3*a + 0*a - a. Let b(k) = k**2. Give i(b(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3616 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = 5*i - m, -2*m + 14 = 4*i. Is 22 a factor of (-3)\/(-9)*i*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 3}. What is prob of sequence ctc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -101134377?\nAnswer: 101134382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -300 - 291. Let u = k + -138. What is the remainder when u is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24786575.\nAnswer: 5, 11, 173, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 4*u**2 + u + 4. Suppose -12 = -0*a + 3*a. Let k be n(a). Suppose 5*g - 3 - 2 = 0. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, s: 2, q: 1, p: 1, z: 9}. What is prob of picking 1 q, 1 s, and 1 z?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11)*-2 + -1)**2*5 + (sqrt(11) - (sqrt(11) + 0)*6 - (sqrt(110)*1 + sqrt(110))\/sqrt(10)).\nAnswer: 13*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112112 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -2 + -3 + 5\/(-5). Let j be 4 - (44\/16 - h). Let x = 1.2 + 6.8. Is x greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8 = 0, -23*r = -5*b - 25*r + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2. Let p(w) be the third derivative of -w**5\/15 + 27*w**2. Calculate r(p(b)).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111 + -1000010000001111?\nAnswer: -1000001011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 296*b + 4375. Calculate r(-15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(-2)\/(-21)*(-4641)\/(-13). Let x = r - 172. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**5 + 7\/12*x**4 - x**2 + 0*x**6 - 2\/35*x**7 + 0*x**3 + 0 + 0*x. What is the second derivative of k(h) wrt h?\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/24 + 3*a**3\/2 + a**2. What is the units digit of g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1000419963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 7*c**6\/120 - c**5\/120 + c**4\/24 + c**3\/3 + 3*c. Let d(a) be the second derivative of o(a). Is d(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmnm when four letters picked without replacement from mjmnnvnn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164823 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 3*c**2)*(3 + 10 + 10)*(0 + 0 + 2).\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 + 54\/(-66). Let x be 6\/21 - (-12)\/7. Let v = 98 - 97.8. Put k, x, v in decreasing order.\nAnswer: x, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 7. Let v be b(4). Let c be (2\/8)\/(v\/(-10)). Let m = 64 - 190\/3. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2 - (498237\/(-19) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v - 109*v + 2*q - 5 = q, q = 4*v + 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 800, 932, 1128, 1376, 1664, 1980, 2312?\n\"Answer: -2*p**3 + 44*p**2 + 14*p + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + -5 + (6 - 13) + 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 + -3 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))\/sqrt(2))\/(sqrt(8) + sqrt(96)\/(sqrt(48)\/sqrt(4))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -8.\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 + 4*l - 1. Let t be b(-4). Let g be (t + 601\/1)*-6. What is g rounded 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 2*d**3*r**3 - 113*d**2*r**3 - 56*d**2 + 29*d*r + 4*r**3 - r wrt d.\nAnswer: 12*d*r**3 - 226*r**3 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24362200 divided by 4872440.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2434204 (base 5) to base 13\nAnswer: 18033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146405707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a + 60. Suppose 3*q = -x - 11, -2*x + 23 = -5*x - 4*q. Let h(u) = -11*u + 31. Let l(c) = x*h(c) + 3*w(c). Calculate l(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1032 and 3792?\nAnswer: 163056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f + 15 = w, 3*w - 3*f = -3. Suppose d + 144 = 2*q, -163 + 11 = -2*q + 5*d. Let n = 73 - q. What is the second biggest value in n, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdsg when four letters picked without replacement from {s: 4, d: 2, g: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -90, 1.1882?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17071 + -103?\nAnswer: 16766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l - l + (-2 + 5 - 2)*(-58*l + 58*l - 52*l) + 6*l - l + 2*l + (-1 + 1 + 2*l)*(-3 + 1 + 0) + 0*l + l + 0*l + 3 - 3 - l.\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993309991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 2\/7, 1\/4, -0.4, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/2 (c) -2 (d) 796 (e) -0.8 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6660334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 2. Let d be v(-2). Is (25 + 3)*(-22)\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-117)\/44)*255\/(-680).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 + 2*r + 13. Let u(x) = -8*x**2 + 4*x + 27. Calculate 11*k(p) - 6*u(p).\nAnswer: -7*p**2 - 2*p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stl when three letters picked without replacement from sttstslttlttttltlt.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 7*k - 10. Let c be b(2). Let w(s) be the first derivative of 3 + 1\/8*s**2 - 1\/16*s**4 + c*s**3 + 0*s. Factor w(m).\nAnswer: -m*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 37 = -12. Let x(r) = 6*r + 192. What is the tens digit of x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122097393.\nAnswer: 3, 11, 509, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10922 and -79\/20.\nAnswer: 109220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 364*g\/3 - 365\/3.\nAnswer: (g - 1)*(g + 365)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -652*m - 599*m**2 + 598*m**2 + 104*m - 2*m**2 - 2*m**2 + 3*m**2 + (0*m + 0*m - 2*m)*(-m - 4*m + 3*m) in the form l + x*m**2 + a*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/4))\/(d\/((d\/(d\/(d**11*d)))\/d))*(d*d**6)**(-1\/4))**(2\/57) assuming d is positive.\nAnswer: d**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1133.4 and 4?\nAnswer: -4533.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.24915194186 - -5\nAnswer: 3.75084805814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7762.\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20562 and 1518?\nAnswer: 226182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30728 and 5119886.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25365 - -25389. Solve -25*a = -17*a - o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 11*d**2 - d + 16. Let s be q(11). Let p be ((-1)\/(-2))\/(s\/300). What is the greatest common divisor of p and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 13. Suppose 5*k + 2*c + 183 = 258, 0 = -3*k + 2*c + 29. Calculate the remainder when k is divided by (i*-1 - 1)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -207. Which is the closest to 2\/5? (a) -0.5 (b) t (c) 6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257848*a + 94905 = -258847*a for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/8*11*24\/(-528)*16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11513 + -11175. What is the remainder when z is divided by 108?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -24*j - 35. Let l be b(-4). Let i = l - 58. Solve -2*y + 2*m = i*m - 8, 4*y - 2*m = 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = 4*j - 2*i, -15 = 5*i. Suppose -2*f = -3*y - 2*y - 59, -j*y + 94 = 2*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -114, -225, -362, -519, -690, -869, -1050?\n\"Answer: c**3 - 22*c**2 - 20*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2610 and 10875?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 + 11. Is 11 a factor of z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -0*o - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 - 9 = 0. Suppose 25 = 5*o, -2*h + o = 3*h - n. Let w be h - -2 - (-984)\/(-244). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 367 = 4429*v - 4412*v, -363 + 85 = 4*q - 2*v for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47352466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1592, 1411, 1220, 1013, 784, 527?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/30 + 8*h**3\/3 + 336*h**2\/5 - 571*h. Factor i(g).\nAnswer: 2*(g + 12)*(g + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/((sqrt(11) - ((sqrt(11) - (sqrt(66)*1)\/sqrt(6)) + sqrt(11))) + sqrt(11)) - ((0 + -1*sqrt(19))**2 + sqrt(19) + (sqrt(171)*2)\/sqrt(9)).\nAnswer: -19 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q. Let w(u) = -6*u**2 + u - 1. Let c(y) = -p(y) - w(y). Let r = 7 - 5. Let g(f) = 2*f - f**2 - 2*f + 0*f**r. Calculate -c(i) - 6*g(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12449, 12447, 12443, 12437, 12429, 12419?\nAnswer: 12407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -9*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 + 19*s**3 - 33*s**3 + 12*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 2065.\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13023223 - 2?\nAnswer: -13023231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 + 19*z**2\/3 + 215*z\/9 + 53\/3.\nAnswer: (z + 1)*(z + 3)*(z + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 92\/12 + -5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -15 - 10. Suppose 2*s = 7*s + x. Let r = s + 10. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b - 1. Let r(k) = 7*k + 1. Let v(t) = 6*g(t) + 5*r(t). Let f be v(-1). Let x be 3 + 4\/4 + 110\/(-10) + 8. What is the biggest value in 1\/13, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 8\/2*1. Find the third derivative of -14*b**2 + 18*b**2 + 2*b**3 - 3*b**3 - n*b**3 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 6. Let t = -48 - x. Let g(o) = 2*o - 2. Let w be g(2). Solve -m + h - w = t, 10 = 3*m - 5*m - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/52 and -151\/12018786.\nAnswer: 24037572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -176.425\nAnswer: 70.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k + 0*k + 0*k - k + 4 + 9*k. What is m(15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*j**2 + 290*j - 142*j - 143*j + 2*j**2 + j**2 - 4*j**2 + (-3 + 0 + 1)*(-2*j**2 + 0*j + 0*j).\nAnswer: 5*j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 29*x + 237. Let p be d(-8). Let y(r) = -7*r**2 + 34*r + 2. Give y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -53, -54, -55, -56?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + f**2 + 2*f**3 + (2*f - 2*f - f**2)*(-2 + f + 2) - 6616*f + 6616*f + 401*f**3 to the form l*f**3 + g + n*f**2 + q*f and give l.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2121.0059 + 0.0059. Let s = 2121.01211 + l. Round s to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 2*z**2 - 2*z + 1. Let k(g) = -2*g**3 - 2*g**2 - 2*g - 1. Let i be k(-1). Let x be a(i). What is the units digit of (-5)\/(2*x + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -2 - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12870, -10535, -8202, -5871, -3542, -1215, 1110?\nAnswer: 3433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 11) + 28 + -21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-10))\/(6\/(-280)). Let k = 40 - j. Is -28 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/8 of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = -74*d + 53*d. Let r(q) = -q**3 + 3*q**2 + 8*q - 5. Let y be r(4). Solve d*p = -2*p + u - y, 4*p - u + 19 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let t(u) = u**2 - 149*u. What is t(c(s))?\nAnswer: 4*s**2 + 298*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -65.5. Let i = -23 - -22.9. What is the fourth biggest value in n, i, -1\/8, 9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 18, 8 in ascending order.\nAnswer: -3, 2, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*s = 200*s - 12. Solve -221 + 101 + 114 - s*o**2 + 9*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -3 - (-4 - -8). Calculate the smallest common multiple of ((-6)\/d)\/(-3) - -8 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 23*p**3 + 6 + 0.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*b - 9 - 18 = 0, 0 = -3*q + 4*b + 70. Let k(t) = -t**3 - 6*t**2 + t + 7. Let p be k(-6). What are the prime factors of (q - 11)\/(p\/2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 375*z - 28013. Let q be y(272). Solve 1\/8*r**q + r**2 + 0 + 0*r = 0 for r.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = -3*x, 4*x + 12 = t + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -809 - -822. Suppose 3*l - v - 39 = 37, -4*l + 99 = v. Calculate the remainder when l is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 62?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -534\/5. Which is the third biggest value? (a) x (b) 1.9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 1. Let k(o) = -9*o**2 - 11*o - 3. Let i(g) = -k(g) - 3*v(g). Let x(t) = 4*t**2 + 2*t. Determine -2*i(f) + 5*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.119 + 0.119083. Round i to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 2. Let y be h(-2). Let r = y + -3. Factor 2 + l**3 + 8*l**r - 21*l**2 + 10.\nAnswer: 3*(l - 2)*(l - 1)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13223123 (base 4) to base 8\nAnswer: 75333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 3. Let p(u) = u + 1. What is -c(h) + 4*p(h)?\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 11. Calculate the least common multiple of w(-5) and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o\/o**(-4))\/o*o)\/o)\/(o**(-3\/4)\/o))**(2\/139))**(-21\/4))**(-22) assuming o is positive.\nAnswer: o**(5313\/556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 equal to -2\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78458867427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**6*d*d*d**(-4))\/(d**(-1\/3))**(-13)*(d\/(d**(-8)*d)*d**(-5\/4))**46 assuming d is positive.\nAnswer: d**(1795\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -23*c - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x + 3*x - x - 2*x + 4*x + (5*x + x - x)*(2 - 3 + 0).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(30)*1 - -2*sqrt(4320))\/(5*sqrt(486)*-2 - (sqrt(486) - (-1*sqrt(486)*2 - sqrt(486)))).\nAnswer: -19*sqrt(5)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**3 + 2*y**3 + 0*y**3)*(-2 - 38 - 48 - 5).\nAnswer: 372*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405823.\nAnswer: 11, 79, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 3556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + o + (3 - 3 + 2*o)*(2 - 1 - 3) + 3*o + 0*o - o - 4*o + o + 5*o - o + 0*o + 2*o + (10*o - 3*o + 8*o)*(2 - 4 + 0) - 2*o + 2*o + 6*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - 752\/5. Which is the closest to -1? (a) 2\/21 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4 + v - 3*v**3 + 4*v**3 - 5 + 3*v**2 + 6*v**3. Let o(m) = -2*m**3 - m**2 + 2. Let q(f) = -2*k(f) - 9*o(f). Find the third derivative of q(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**7*v*v\/(v*(v**(1\/3)\/v)\/v)*v*v**7*v*v**(1\/15) assuming v is positive.\nAnswer: v**(296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*m - 488*m + 243*m - 6 - 145 to h*m + u and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/u**0)*u)\/u)**39*(u*u**(-1\/5))\/((u*u**(-5))\/u) assuming u is positive.\nAnswer: u**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*p**4 + 82*p**2 + 0 - 63*p**2 + 0 wrt p.\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*q - 101*q**3 - 20*q + 45*q**3 + 13*q**2 + 52*q**3 in the form c*q**3 + r + j*q + g*q**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n, -4*h + 5*n + 2137 + 2712 = 0. Solve 0 = -1206*r + h*r + 35 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -77. Suppose 0 = 3*s - 4*s + 2*l + o, 0 = 5*s - l - 3. Solve 4 = -5*j - 3*w, 3*w = -4*j - 2 - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s. Let o(f) = -1790*f**2. Give x(o(h)).\nAnswer: -14320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 33. Let y = -8 + k. Let o be (y + 2)\/(6\/6). Solve 4*r = 3*r - 4*i - 10, -4*i = -o*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3)*(-33)\/(-22). Suppose -10*f = -y*f - 25. Which is the second smallest value? (a) -1 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -2\/3, 22, 4\/5, 1\/9, -5\/9, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.73 + 0.73. Let n = -29.00000057 - q. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1047276, -4189125, -9425544, -16756533?\n\"Answer: -1047285*p**2 + 6*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -19*z. Let g = 29 + -24. Suppose -g = f - t, 3*f + 5*t + 10 - 27 = 0. What is the units digit of m(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -8*i + 624. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4158\/(19 - 5))\/(-1). Let g = 469 + -960. Let d = a - g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4164029110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66046 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) + (38\/(-4))\/19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 - y**3 + 0*y**3 - 3*y**3 - 29*y + 29*y + (-y - 2*y**2 + y)*(y - 3 + 3) as w*y + j + k*y**3 + d*y**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -61*d - 2. Let j(s) = 122*s + 3. Suppose 3*a + 2 = 2*m + 12, 0 = -3*m - 3*a - 15. Let h(p) = m*z(p) - 3*j(p). What is the units digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 142*y + 4 - 143*y + 15. Let x be u(15). Let t be 0 + (-48)\/(-18) + x\/(-6). Solve -4*q + t*q - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2037505 + 2037502, 3*t + 25 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 14*s**2 + 1 - 12*s**2 in the form y + k*s + z*s**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.326699626915 and -1.\nAnswer: -4.326699626915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -86.039.\nAnswer: -84.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1652, -7, -1 in descending order.\nAnswer: -1, -7, -1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036267 to seven decimal places.\nAnswer: 0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1043011121 (base 5) to base 8\nAnswer: 10646106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 704.00000359 - 704. What is q rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -35, -85, -155, -245, -355, -485?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4600)\/5520*6*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/7 - 650*x\/7 + 276 = 0.\nAnswer: 3, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + a + 10. Determine z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18526581, 18526583, 18526585, 18526587?\n\"Answer: 2*j + 18526579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let k(q) = 88*q**2 + 3*q - 84. Calculate x(k(c)).\nAnswer: -176*c**2 - 6*c + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/21)*u**(-2\/123)\/u assuming u is positive.\nAnswer: u**(-916\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**2 + c + 7. Let a(v) = -5*v**2 - 2. Let x(d) = 7*a(d) + 2*n(d). Let f(u) = 7*u - u**2 - 7*u. Let l be 4 + 11*24\/132. Give l*f(k) - x(k).\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 2, x: 3, v: 1, j: 1, p: 1}. What is prob of sequence ypxy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**3 + 20*m**2 - 20*m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let g(d) = 4*d + 3. Suppose f = -3*f + 12, -5*x - 3*f = -24. Give x*l(v) - g(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 705, 17 in increasing order.\nAnswer: -3, 7, 17, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -96, -256, -488, -798?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41.39934t?\nAnswer: 41399340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(1 + 2*k + 0 + k) - 2*k - 2 + 2.\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4924 - 4919. Solve g + 9 = 2*k, i*k = -2*g - 0*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + r + 5. Calculate m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 5*l - 23. Let p(n) = 2*n**2 - 15*n + 10. Let o be p(7). Let t be h(o). Solve 5*g + t + 10 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4624 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000170257 rounded to six dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220 (base 4) to base 12.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - u - 6*u**4 + 3*u**4 - 2 in the form r*u**2 + f + g*u**3 + b*u**4 + c*u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36676 + 1?\nAnswer: 36677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*h + 12. Which is the second biggest value? (a) 1 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 151*f - 163*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 3. Let j be r(7). Let y(i) = i**2 - 8*i - 14. Let s be y(j). Let k(l) = 4*l + 6. Let g(o) = 2*o + 3. Calculate s*k(m) - 13*g(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**5 + 4*f**3 + 2*f - 10*f**5 - 4*f**3 wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -40220.104?\nAnswer: -40210.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 10*o**2 - o + 5273. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63389 is divided by 6327.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - (-51 + -25 + 73 - (-68 + 1))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -582349.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 267*r**5\/10 + r**4\/2 + 25*r**3\/6 + 233*r**2 - r. What is the second derivative of l(n) wrt n?\nAnswer: 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -5 + 4 + 0. Let i be (1*2)\/(-3 + 1). Let p be (i - -1)\/(2 - o). Solve c + 6 = -3*w, 2*c - w - 2 = -p*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 2405?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164064799?\nAnswer: 73, 2247463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let c(y) = 1609*y**2. Calculate c(g(r)).\nAnswer: 1609*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000023 + -30?\nAnswer: -1000113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*q - 128. Let m = 28 - q. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 135ad76 - -3?\nAnswer: 135ad79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 9*z + 3. Let d be (-2 - (2 + -3))*-8. Let m be a(d). Let w(g) = -g + 4. What is the units digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c**2 + 215*c**2 + 14*c**2 + 2*c**2.\nAnswer: 305*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyydyyydy. What is prob of sequence dyy?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/6)\/(5\/(-5)))\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 38209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/55*-20*4\/20*-5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r*r*r*r**(2\/31))))\/r**(-13))\/(r**(1\/4))**(1\/2))**(-5\/8) assuming r is positive.\nAnswer: r**(-21005\/1984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k + 55. What is the common denominator of ((-2)\/5)\/(4\/(-35)) and (-3)\/k*(-70)\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12833 + 1068 = 161*s - 750. What is the remainder when s is divided by 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51051 and 41769?\nAnswer: 459459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -77004.116 rounded to the nearest 100?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 d, and 1 u when four letters picked without replacement from dwwuuwdddjbuuwdodudw?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-1)\/(-5) - 2\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h + 148*h**4 - 147*h**4 - h**2 - 1 as j*h + v*h**3 + t + x*h**4 + r*h**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/239 or -478?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -7\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*p**3 + 2 + p**2 + p**3 - 2 as w + c*p**2 + y*p + x*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.451 * 0.2\nAnswer: 0.4902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/20)\/((-72)\/(-240)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:12 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**3 - 5*u**2 - 16623*u - 152951?\nAnswer: 6*u**2 - 10*u - 16623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*w - 4 = 0, -3*w - 2 = -3*m + 1. Suppose -452 + 402 = -m*u. Calculate the remainder when 65 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by (-69)\/(-3)*(-45)\/(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 52 = v, -c + 11 = 2*v - 15. Let b(m) = 2*m**2 - 4*m + 4. Let k be b(5). Suppose 2*q + k = 164. What is the highest common factor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 7242 = 33*a - 5988. Calculate the highest common factor of 1008 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7663*h + 11751*h + 1510*h - 1389*h - 1778*h + 1077*h.\nAnswer: 18834*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 9*y + 29. Let g be w(-10). Find the second derivative of 9*i + 178 - g*i**2 - 178 wrt i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201872 divided by 1147?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2 - 69*l**3 + 4*l - 4*l + 71*l**3 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*u + 16 = 0, -2*u - 4 = 4*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 8211, -5, 1 in descending order.\nAnswer: 8211, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -10*h + 895. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 4. Let q be o(3). Solve -3*s + 3*i = -3, -3 = 3*s + q*s - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 12368*i\/13 - 19120928\/13.\nAnswer: -2*(i - 3092)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/27 and 143\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81025.\nAnswer: 5, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191425 divided by 3?\nAnswer: 191425\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/12*n**4 + 0 + 7*n + 1\/3*n**3 + 1\/2*n**2. Let p(m) = -m. Calculate -2*c(h) - 5*p(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14543742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 1\/3*m**4 + 13\/3*m + 4\/3 + 7\/3*m**3.\nAnswer: (m + 1)**3*(m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4 + 4)*(94 - 39 - 35).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*x + 4 + 14, -z + 1 = -5*x. Suppose 0 = -5*l - 0*l - 5. Put z, l, 0 in ascending order.\nAnswer: z, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, -2*h - 4*x = x - 12. Let c be 4*(3 - 15\/h). Let o(b) = 2*b. Calculate the smallest common multiple of 10 and o(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*h, -3*n - 4 - 31 = 5*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(-2 + -3 + (sqrt(128) - (sqrt(128) + 1))**2 - ((sqrt(128)*-2 - sqrt(128))*-2 + -1)).\nAnswer: -720*sqrt(2) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -782, 1\/9, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -648*k. Let f(x) = 19*x. Let m(t) = 264*t. Let y(s) = 70*f(s) - 5*m(s). Calculate b(y(z)).\nAnswer: -6480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 259*a**3 + 45*a**3.\nAnswer: -205*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 60.31, 2\/13, 0.1, -3\/4, 149?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 53 = -5*p + 49*y, -129*p - 2*y + 22 = -133*p + 68 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 115 = 0. Suppose 2*z + 5*m = -s, -2*z - 2*z = 2*m + 6. Suppose 4*d - 3*d - z = 0. Solve -2*i - 5 = -5*k + 2*k, 0 = -k + d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 21513 = -107227. Does 157 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.6 and -3000.96.\nAnswer: -2993.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 2171.22?\nAnswer: -2177.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 5*r**2 + r - 2. Let j = 1 - 0. Let f be 6 + -2 + (j - 0). Is 2 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -13 - 2. Let v(s) = -s**3 - 4*s - 2. List the prime factors of v(q).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*p**2 + p + 4*p**2 + 910 + 12*p**2 - 20*p**2 - 17*p**2 with respect to p.\nAnswer: 54*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/(-2) - 7)*(2 - 0). Let b = -11 + g. Suppose 1465 = -b*k + 25*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*y - 19 = -0*y, 3*i + y = -13. Let g(d) = -d**2 - 3*d + 2. Give g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/15, 48\/43, 33?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*l**6 - 233*j**3*l**4*t + 2*j**3*l**2 + 26*j*l**2*t + 5*j*l**2 - j*t wrt l.\nAnswer: 120*j**3*l**3 - 5592*j**3*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 904, 888, 874, 862?\n\"Answer: l**2 - 19*l + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -187d5c - -2?\nAnswer: -187d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - (4 - (4 + -2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let g(i) = -i**2 + 5*i + 5. Let r be g(z). Let x = 59 + -48. Solve -2*f + 2*a - 18 = -a, -r*f - a = x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -4*t + 5*m - 135, -2*m - 6 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11676.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/29858610 and -179\/39750?\nAnswer: 746465250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*l + 81, -l - 2*j - 14 + 42 = 0. Let r = l + -21. Sort r, -3, -2, -4 in decreasing order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1961.3283 * 5.\nAnswer: 9806.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adohddaltotlat. What is prob of picking 2 t and 1 l?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -4*i - 145. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11871 and 148663171?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1866 = 5*t - 3*d, 0 = -5*t + 4*t - 3*d + 366. Which is smaller: t or 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 9 = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 145 - 65. Let s(f) = -f**2 - 2*f + 4. Let q be s(0). Let r = q - g. What is the remainder when r is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323012110310022 - 1?\nAnswer: -323012110310023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 612 and -0.0103.\nAnswer: 611.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1493*a - 1496*a + 5 = 3*q - 19, -4*a - 5*q + 31 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872930 is divided by 872928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2)\/(2 + 1). Put 3, -3, t in descending order.\nAnswer: 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = i - 3*d - 1, -5*i + 21 = d. Suppose -2*p + 0*p = -i*n - 28, -2*n = 2*p. Suppose p*c - 4 - 4 = 0. Solve -1 = -k + c*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*o + 19, 4*o = 4*m + 3*o - 14. Suppose -x - 4*r = -4*x - 24, 4*r = -3*x. What is the remainder when -2 - x - (-5 - 1) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 27*t**2 - 168*t + 17. What is z(-9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/80250 and -29\/856.\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**5 - 9*y**4 + 9*y**2 - 2*y - 5. Let r(u) = 3*u**5 - 4*u**4 + 4*u**2 - u - 2. Let q(p) = -10*r(p) + 4*w(p). Factor q(o).\nAnswer: -2*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/(-265))\/(9\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffrfojffjofffrrj. Give prob of picking 2 o and 1 r.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, j: 1, a: 1, l: 1}. Give prob of sequence aj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(44)\/sqrt(2) - sqrt(22)))\/(sqrt(110)\/sqrt(810)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2517 or -2\/19?\nAnswer: 2\/2517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (151 + -60 - 157) + 58.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5754 + 792573?\nAnswer: 798327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1629 - 1105. Suppose -r + j = -22. What is the tens digit of (-2)\/(-11) + r\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 - 20*t**4 + 275*t**3 + 890*t**2 - 3900*t - 9000 = 0. Calculate t.\nAnswer: -6, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208) + (2 + sqrt(208) + sqrt(208))**2)*-6 - (-5 + -1*sqrt(117) + 4).\nAnswer: -5016 - 213*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let n = -263 + 262.2. Which is the second biggest value? (a) n (b) 2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/27*6 - 11\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 9*x + 47. Let h be c(-5). Suppose -2*q - 2*l + 5*l = -1601, l + 1595 = h*q. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2558262 and 136154?\nAnswer: 48606978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/2)\/((-989)\/172))\/((-32)\/(-48))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-693)\/385?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/1027499 and 2\/840681.\nAnswer: 9247491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1708633140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7250 and 2900.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 860*h*s**2 - 1733*s**2 wrt h.\nAnswer: 860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwewwwwwwww. What is prob of picking 1 e and 2 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/14 and -113\/174.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - a + 8, -67 + 62 = -a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k. Suppose -2*d - 74970 = -3*h - 6145, k = -5*d - 5*h - 172000. Is 2*d\/(-42) + 2\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 4 - 4.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51\/2 of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*16.8574.\nAnswer: -2.360036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 16*p - 2. What is y(-17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*109.\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*r**4 + 180*r**3 + 240*r**2 - 320*r.\nAnswer: 5*r*(r + 4)**2*(5*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u - 286 = -194 + 318 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 225 - 159. Suppose -109 = -5*f + r + a, 0 = 3*f - 5*r - 101. What is the highest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -45*o - 316. Let k be z(-9). Calculate the highest common divisor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 - 19?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4 = 3*w - 0*x, -14*w + 9*x - 59 = -12*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/3168)\/((-2)\/11).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/29, 1, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {g: 3, v: 3, l: 3, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9104, 9090, 9066, 9032, 8988, 8934, 8870?\nAnswer: 8796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12121 - -12108. Sort 0, 55, k in increasing order.\nAnswer: k, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277.07 - -277. Which is the closest to 1? (a) y (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a*f + a*t**3 - 8*a + 102*f*t**3 - 2*f*t**2 wrt a?\nAnswer: 3*f + t**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2211211212 (base 3) to base 12\nAnswer: 28505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(78))\/(sqrt(6) + sqrt(486) + -2*sqrt(486)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3256 + 4591. Calculate the highest common divisor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2710.3 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5\/4 (b) 196 (c) 537193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-32)\/(-176))\/((-30)\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i + 282 = -70*i. Let w = i + -12. Is 45 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1141251 (base 6) to base 3\nAnswer: -10001012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/612)\/(5\/(-6)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89439.12 litres to millilitres.\nAnswer: 89439120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*w = 112 - 48, -31 = 4*s - 23*w for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/18 - 768\/(-288).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 265460 in -5, 72\/11, -0.4, 2?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71003*0.13.\nAnswer: -9230.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmkmmmmmm. What is prob of picking 1 m and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**3 - s + 3. Let t be a(-2). Let f = t + 99. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419126081 is divided by 481.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w. Suppose -d - 4 + 20 = w. What is the remainder when 62 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.074047154 rounded to 4 dps?\nAnswer: 2.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhcghzgzghgchhghhgh. Give prob of picking 1 h, 1 g, and 2 z.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 582 and 42786.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*z + 109. Let v be (-3)\/45 + (-10)\/z. Factor -2\/3 + v*f**2 - 1\/3*f.\nAnswer: (f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a + 1577. Let w(b) = 19*b + 2. Determine z(w(l)).\nAnswer: 190*l + 1597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 - 66*u + 49*u + 37*u = 0. What is u?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 3*h**2 + 10*h + 1. Let g(c) = -5*c**3 - 14*c**2 + 49*c + 5. Let x(s) = -2*g(s) + 11*y(s). Give x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(117)*2)**2).\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, -1\/5, 1\/3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27441, 30087, 32731, 35373, 38013, 40651?\n\"Answer: -v**2 + 2649*v + 24793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4*(-2)\/3)\/(-7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5774202.75299 + -5774235. Let h = 0.34699 - o. Let a = h - 33. Round a to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 134*b**3 + 2194*b**2 + 3994*b + 1932.\nAnswer: 2*(b + 1)**2*(b + 23)*(b + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-62) + (33 - 4167\/279).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(2\/111)*v\/(v*v**(4\/7))*v*v**13 assuming v is positive.\nAnswer: v**(3492\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7457387 divided by -7.\nAnswer: -1065341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-6))\/((-1425)\/(-855))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -433\nAnswer: 5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 - 193. Calculate the remainder when 117 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18757945 divided by -121019\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ca2 (base 16) to base 4\nAnswer: 302202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 36 = 4. Suppose 0 = 4*l - 16, -2*v + 5*l - x = 2. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 133, 275, 485, 769, 1133, 1583, 2125?\n\"Answer: w**3 + 25*w**2 - 2*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**4 + 2*f**4 + 2*f**4)*(-f + 2*f + 3*f) + 107*f**4 + 6*f**5 - 107*f**4 - f**2 + f**2 - f**5 + (-4*f**4 + 2*f**4 + 4*f**4)*(3*f + f - 3*f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 + (-2)\/(-9). Suppose d = -27*m + 218 + 808. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -20*n**3 + n + 4. Let j(i) = -4*i - 58. Let c be j(-14). What is the tens digit of o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1161304 and 51\/736.\nAnswer: 106839968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5 = 0, 0 = -3*p - 9*q + 6*q - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49389 divided by 489.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 864*d**2 - 13*d + 18*d**3 + 864*d**2.\nAnswer: 18*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*w - 2, 2*w - 20 = -3*w. Suppose -5*x - 1496 = -i*x. Does 34 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 37481\nAnswer: 187405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, p: 1}. What is prob of sequence xpj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let n(a) = a**2 - 7*a - 8. Let v be n(i). Let d = v - -18. Solve 3*t + 8 = -j, 0 = 4*j + d*t - 3*t + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 - 6*z - 1. Let i be a(10). Let c be 2\/(-3 + 5) - -12. Calculate the greatest common divisor of i and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(121) - -2*(-1*sqrt(121) - sqrt(121)))\/(sqrt(891) + sqrt(891) + (5*sqrt(891)*2 - sqrt(891)) - 6*sqrt(891)*-1).\nAnswer: -8*sqrt(11)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1534.2?\nAnswer: -1534.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, j: 1, h: 6, p: 2, z: 3}. Give prob of sequence qzq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 131. Give w(11).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - 32*l - 1. Let a(u) be the second derivative of 0*u**2 + 0*u**3 - 1\/12*u**4 + 0 + 3*u. Calculate a(d(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 104, -5, 1757, 0.3?\nAnswer: 1757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*k**3 - 117061*k*q**2 - 13000581*q**2 with respect to k.\nAnswer: -27*k**2 - 117061*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 40, 3, -58?\n\"Answer: -12*j**2 + 23*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2258\/299 or 8?\nAnswer: 2258\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-18)*(1 - -253). Suppose -5*d = -268 - q. Suppose -d*g - 76 = -81*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -100\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 5. Let w be v(-18). Let x = -10 - w. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 435*c - 437*c = -14, -2*v = -5*c + 21. Solve -b - v*s - 2 + 3 = 0, -4*b - 10 = s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32026 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 54 - (-2 - (2 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f + 8. Calculate b(8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1457 - 780. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366059 divided by -48?\nAnswer: 366059\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/4))**27*(u\/(u**(-7)\/u))\/(u\/u**11) assuming u is positive.\nAnswer: u**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 14*l - 3*l**3 + 4 + 4*l + 5*l + 7*l**3. Is 14 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f. Let y = 0.42 + -0.02. Let j = 1 - -4. What is the closest to 0 in j, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 5601*u**2 - 300267*u + 4043763.\nAnswer: -(u - 5547)*(u - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 894*z - 887*z - 928123. Is z 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 98050 and 2?\nAnswer: 98050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -5968?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11487, 22991, 34491, 45987?\nAnswer: 57479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81322387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xnxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*t - 2. Let q be (0 + 1\/t)*0. Is -11 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -7 + (-2 - (0 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 113?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 10571. Let x be q(0). Suppose 6049 + x = -b - 5*m, 0 = b - 2*m + 16592. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 1.7405 in increasing order.\nAnswer: -0.3, 0.1, 1.7405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 2*d + 4*d - 2*d + 54. Let g be a(-26). Solve 3*u - g*l = 3, -5*u - 2 = -0*u - l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 34*n + 9. Let i(m) = -8*m - 2. Let d(z) = -26*i(z) - 6*l(z). Let p(k) = -7*k. Give p(d(h)).\nAnswer: -28*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n + 3*n**2 - 6*n + 5*n - 14*n**3 - 6 wrt n?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*11\/(-1)*1. Suppose 9*k = o*k - 136. Suppose c - 8 = 4*n, n + n - k = -4*c. Is c at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84373287 at most -928106166\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -49. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 26*q**2 - 89*q - 48. Let j be x(-29). Calculate the highest common divisor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 74, 167, 270, 365, 434?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(931)).\nAnswer: -35*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 35*t**2 + 284*t + 104. Give m(19).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d - 36. Let y be d\/4*(-8)\/6. What is the second derivative of s**y + s + 2*s - 5*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 3*u - u**3 - 3*u + 2*u**4 + 4*u - u**3 - 2 in the form q + i*u**4 + g*u + p*u**3 + c*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/82 and 31\/6478?\nAnswer: 6478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {w: 2, g: 8, z: 2, x: 3}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 3. What is the lowest common multiple of h(-6) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - w + 57 = 0, 5*d + 0*w = 5*w + 95. Let h be (-75)\/(-10)*(-6)\/3. Let o = -12 - h. Solve 0 = c + 4*x, d - 5 = o*c - 2*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 11 (c) 1\/114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - 5*f**3\/6 + f**2. Let x be p(-5). Solve -5*b = -0*h - 4*h + x, -5*h + 5*b = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/(-372)*-3*-5*4\/(-40))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*o**3 - 226626*o**4 - o**3 - 15*o + 226629*o**4 + 4*o**3 + 150*o to i*o**2 + w*o**4 + b + p*o + f*o**3 and give p.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m. Let h(u) = -2*u - 11471. Determine n(h(p)).\nAnswer: 10*p + 57355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*v = 45234 - 39834 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/72 - k**3\/6 - 2*k**2. Let r(h) be the first derivative of t(h). Let q(n) = -n. Calculate r(q(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2 + 1 + z**3 - 2*z**2 + 4*z**2. Let u be g(-4). Let i = u + 59. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -2*l - 12 = -q*b, -3*l - 4*b = b - 26. Let d = 400.68 - 400.98. What is the third biggest value in -2, 1, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796768980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from yzyytyotlcytc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 40. Suppose 0 = -2*s + f + g, -5*s + 0*f = -3*f - 52. Suppose -2 = 3*o - s. Solve 3*k = o*d + 12 + 6, 0 = -4*d + 5*k - 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -346*x**2. Let i(o) be the first derivative of 9*o**2\/2 + 5*o - 155. Let g(j) = -2*j - 1. Let q(l) = -10*g(l) - 2*i(l). What is q(d(z))?\nAnswer: -692*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 24 + 2*m**2 - 19 - 2 - 4 + 2*m**2. Let w(x) = -2*x + 3. Let b(o) = -5*o + 7. Let s(z) = 6*b(z) - 14*w(z). What is i(s(l))?\nAnswer: 16*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 2*w - 3. Let i be -5 + -2*(-2)\/2. Determine o(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218104023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwlwvuuwlugwalu. What is prob of sequence lva?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*a - 38*a**2 - 168*a + 29 + 342*a in the form p*a + r*a**2 + f and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -11, -2, -0.15, 1\/39, -6?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from pypyyypwnzppzepzee.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 289 = 5*b. Suppose 4*n = 2*n + 4*f + 48, f = 3*n - b. Suppose r + 3*r - n = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4444*r + 3277*r - 11332*r to c*r + q and give c.\nAnswer: -3611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -70*3\/(75\/(-10)). Let 6*d**2 + 20*d - 2*d**3 - i*d + d**3 = 0. Calculate d.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14705?\nAnswer: 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 72. Let z be (-6)\/(-15)*((-6)\/p + 8). Is 56*(3*z\/6 + 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2 + 0) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/5, 0.1, 3, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 2 - (14 - 6)) + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/739 or 1?\nAnswer: -28\/739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6930 and 370?\nAnswer: 256410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/5? (a) -0.056 (b) -0.1 (c) 1\/2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/15*1\/((-10)\/444). What is the units digit of 0 + -1 + j + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -14, 4, -54, -164?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 80447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -45, -73, -99, -123?\n\"Answer: z**2 - 33*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -530, -713, -866, -977, -1034, -1025?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 + 4672045?\nAnswer: 4672045.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284 (base 12) to base 8.\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, 78, 301, 538, 783, 1030, 1273, 1506?\nAnswer: 1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 2. Let b(a) be the first derivative of -5*a**2 - 11*a - 5. Let w(l) = 6*b(l) + 33*v(l). What are the prime factors of w(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 408? (a) -19 (b) -0.2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.9, 2\/7, -14, -0.004, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33260024 divided by 392\nAnswer: 84847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8404 = -4*j + 4*v, 10 = -4*v + 6*v. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33091582.3 and -3.3.\nAnswer: 33091579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjmj when four letters picked without replacement from {y: 4, j: 2, m: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/2 < 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 6*y - 173. Calculate the highest common divisor of 100 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717457819 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 1 + t + 10*t to w + a*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -2, -1, -0.079, 0?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2428375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2907, 5813, 8719, 11625?\n\"Answer: 2906*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136643 (base 8) in base 14?\nAnswer: -13999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2999.3 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*-3*-5)**2.\nAnswer: 450*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 10 + -60 + 47 + 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 33 = -6*z. Let i(g) = 2*g**3 + 6 - 6*g - z*g**3 + 5*g**2 + 13*g**3. What is the tens digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + p**5 + 7 + (2*p**3 - p + p)*(0 - p**2 + 0).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4, x: 3, g: 2, f: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -346, -515, -682, -847?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10*(-3 - -1 - 3). Solve -g*u + 20 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l - 115*l - 111*l + 328*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -257041472 divided by 5?\nAnswer: -257041472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*j + 37*j - 850*j - 47073 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 7 = -m, -105 + 100 = j - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-33))\/(2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 1, l: 3, m: 6, y: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50) - (-5*sqrt(12))\/sqrt(6).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 15359\nAnswer: -15359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 31 = -f. List the prime factors of (-56)\/14*(f - (-3)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0705406 and -360.\nAnswer: -359.9294594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.884 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 85143d?\nAnswer: -851432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1 + 2*q - 4*q**3 + 2*q**2 - 4 - 3 - 5*q. Let z be v(-3). Suppose -5*b + z = -126. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60637 by 40.\nAnswer: -60637\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g + 11. Let c = -2 - -5. Suppose -c*w = 15, -3*r - r = -2*w - 10. Is y(r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 289 = 3*x, -2*y + 394 = -3*x - x. Is -100 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 5 + 63 + 106 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61913294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(3\/19)*m)*m\/m**(-17\/2)*m assuming m is positive.\nAnswer: m**(393\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092*o**2 + 18 - 18 - 491*o**2.\nAnswer: -1583*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 226513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 165 + 88*d**2 - 338.\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*12\/(-18)*(-345)\/20 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4544 - 1194 - 2982 - 1147 - 5484 + 95)*(-4*c**2 + 4*c**2 - c**3).\nAnswer: 15256*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*-2)\/(8\/((-240)\/(-90)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*i - 6, i - 9 = 5*y - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 6703040*p + 5616343155200 = 0. Calculate p.\nAnswer: 1675760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/84)\/((-24)\/144)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*a*r - a - 96*r - 3 wrt a?\nAnswer: 50*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f + 39 = -51*f. Determine i, given that -3\/4*i**2 + 3\/4*i**f + 1\/4*i - 1\/4*i**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3247650 to the nearest 10000.\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = -64*b - 16*b - 835 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n - 11*n - 28. What is the second biggest value in 3\/4, n, 0.24, -6?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsmavvs. Give prob of picking 1 s, 2 v, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(1\/6*4). Let d(a) = a**3 - 35*a**2 + 3*a - 8. Let y(i) = -2*i**3 + 79*i**2 - 3*i + 16. Let h(u) = 7*d(u) + 3*y(u). Give h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/116 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 283, 440, 615, 814, 1043, 1308?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61.5 and -105964.886105.\nAnswer: -106026.386105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20919 - -20918. Let u(g) = 1. Let o(k) = 4*k**3 + k - 3. Determine n*o(q) - 3*u(q).\nAnswer: -4*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10430 (base 13) in base 3?\nAnswer: -1111011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-3)\/sqrt(10) - sqrt(495)\/sqrt(11))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1274 - 286694714?\nAnswer: -286694714.1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -16, 2*w + 0*a - 18 = 4*a. Suppose 0 = -4*d + 3 + w. Differentiate 4*b - d - 1 - 2 with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -136468081264 from -4.\nAnswer: 136468081260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:31 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14629 - -25766. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + 27*x**2 + 9*x + 18. Let i be s(9). Calculate the highest common factor of 275 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.6 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*m + 25, 99*m - 98*m - 317 = -80*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-4\/33)*d\/(d*d*d*d*((d\/((d*d**(-9\/10)*d)\/d))\/d)\/d*d)*d assuming d is positive.\nAnswer: d**(-257\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/3, -260943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*w + 15 = 324*w. Suppose -10*v + 6*v - 16 = 5*f, -20 = 3*f + w*v. What is the fourth biggest value in 5, f, 1\/6, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 25, 21 + 21 = f + 4*k. Suppose f = 2*n + 2*v, 5 = 3*v - 10. What is the smallest common multiple of n and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -296 (b) -5 (c) 0.3 (d) 333\/2 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 28124513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(1\/33)*((n**(-1\/24)*n)\/n*n*n)**(-47))**(-1\/11) assuming n is positive.\nAnswer: n**(8449\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2040)\/12880 + (-2)\/(-28).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 21*z**2 + 0*z - 25\/6*z**3 + 0 - 7\/4*z**4. What is the hundreds digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/3 (b) 0.2 (c) 1 (d) -10\/27 (e) -38 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20387 - -41514. List the prime factors of r.\nAnswer: 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -963 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 - (49 + (-71 - -25) + 43).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5656 - 5122. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3238, -6683, -10090, -13447, -16742?\n\"Answer: 2*b**3 + 7*b**2 - 3480*b + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 9*l + 1\/3*l**3 + 11 + 0*l**2. Calculate u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4687914.57638605286998 - -1.27361401713002. Let t = 4687916 - z. Let p = t + -0.15. Round p to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 2*n**2 - 6*n**2)*(15*n + 3*n**2 - 15*n) + (-n**3 + 4*n**3 - 4*n**3)*(15 - 15 - 28*n) to b*n + s*n**3 + m*n**4 + c + h*n**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - q + 3*q + (1 + 1 + 0)*(q + 0*q - 2*q) - 2*q - 4*q + 3*q - 3*q - 5 - 2 + 6 as s*q + z and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243\/4 or 62?\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 89*s**3 - 1. Let l(h) = h**3 + 22*h**2 + 79*h + 790. Calculate the remainder when r(1) is divided by l(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*h**5 - 4*h**2 wrt h.\nAnswer: 12180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2307*p + 624*p - 6049*p - 2348 + 2348 in the form o + v*p and give v.\nAnswer: -7732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -145*q + 282*q - 2*q**2 - 141*q = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*o + 68*o - 40*o)*(-o + 2*o**2 + o)*(o + 14 - 14) to the form q*o + u + a*o**4 + n*o**2 + w*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/1365 - i**6\/780 - i**5\/78 - i**4\/52 + 17*i**2. Suppose g(y) = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*m = -0*m + 11, -5*m + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16, -6*y + p + 88 = -2*y. Calculate the remainder when y is divided by 16\/(-9) - -2 - (-460)\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + -1)\/(3\/(-2)). Let d(c) = w + 0 - 3 - 2*c. Calculate d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0709 and -1404810?\nAnswer: 99601.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24))\/sqrt(2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -750\/37 + 13127\/518. What is the common denominator of -47\/12 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 616*f + 39155. Give a(-52).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2746*r - 2715*r - 12761677. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.092ml in litres?\nAnswer: 0.086092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22240 + -19603. Calculate the remainder when r is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1274 + 38 = 2*q + 4*j, -3*j = 4*q - 2649. List the prime factors of q.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - (0\/1)\/(-1). Solve -5*r = -3*z + 2, 0*z = -r + 3*z - y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09467079 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 2246?\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34658, 69394, 104120, 138830, 173518, 208178?\n\"Answer: -x**3 + x**2 + 34740*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68\/5? (a) 91 (b) -1\/3 (c) -7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + (0 - -1) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37466641*j**2\/9 - 391744*j\/9 - 1024\/9 = 0. What is j?\nAnswer: -32\/6121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 1580*j + 21720 wrt j.\nAnswer: 6*j**2 + 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*-2 - sqrt(189)) + sqrt(189))\/sqrt(9))\/(1*sqrt(3)*-4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6602089 by 59.\nAnswer: 6602089\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 182. Let c be b(-26). Suppose 260 = -5*o + 3*p + 2*p, o = 3*p - c. What is the smallest value in 3\/4, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2430973?\nAnswer: 73, 33301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/32*-15*28\/70.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4250, -33864, -114130, -270338, -527778, -911740, -1447514, -2160390?\n\"Answer: -4215*t**3 - 36*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 29, 67, 105, 143, 181?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + (0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.83797 nanometers to centimeters.\nAnswer: 0.000006083797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*j**3 - 132*j**3 + 56*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 364 - 372 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 252545783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 1061525325.\nAnswer: 1061525316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100123 (base 5) to base 11\nAnswer: -2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (-20)\/(-16)*8\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**3 - 37*x**3 - 51 + 18*x**3 - 7.\nAnswer: 2*x**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.953 + -2.8. Let f = -2.093 + a. Let u = -1.8 - f. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 483761 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 5*f - 1. Let t be ((-222)\/14)\/(-3) - 10\/35. Suppose 35*a - t = 34*a. Determine n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-76)\/(-8) + (-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/11 - 2078*l**2\/11 - 66460*l\/11 - 64384\/11 = 0. Calculate l.\nAnswer: -1006, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/5 + 6*(-6)\/(-90). Let q(z) = 5*z + 27. Let p be q(t). Solve -p*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200683207?\nAnswer: 181, 1108747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*v + 5*v, 3*v - 4*n - 14 = 0. Suppose b - 4 = 0, 4*k + 6 = v*b + 50. Calculate the remainder when k is divided by -2 - 0 - (-12)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/8)\/((-4)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*((4*(sqrt(405) + -1 + sqrt(405)) - sqrt(405)) + (-3*(sqrt(405) + -1) - sqrt(405)) - (-2*-1*sqrt(405) + (-1 + sqrt(405))*-1)))**2.\nAnswer: -648*sqrt(5) + 14616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9149, -36610, -82381, -146462, -228853, -329554?\nAnswer: -448565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/582279 and 40\/4383?\nAnswer: 850709619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1134 and 439376?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1523817014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46115 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 15*k**2 - 19*k**2 + 2*k**2. Let r(p) = 0 - 479*p**2 + 0 + 481*p**2. What is r(z(u))?\nAnswer: 2450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {z: 1, b: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/25 + 1881\/100. What is the common denominator of k and -37\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -589536 and 0.238.\nAnswer: -589535.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 26 = 5*o. Let a = -15 + o. Let g = 29 + a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**2 - 10*v**2 + 14*v - 32*v**5 + 12*v**2 wrt v?\nAnswer: -640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079403492.\nAnswer: 2, 31, 2381, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9528.9277 and 595527.\nAnswer: 605055.9277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**5\/20 - 5*q**4\/6 - 4*q**3\/3 - 5*q**2 + 3*q. Is 12 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891567.\nAnswer: 7, 413081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84617, -84631, -84669, -84743, -84865, -85047?\nAnswer: -85301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {p: 5, d: 4, c: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 50. Let h(m) be the first derivative of -m**3\/3 - 5*m**2 + 8*m - 37. List the prime factors of h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -623, -1202, -1781, -2360?\n\"Answer: -579*b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -43*d**2 + 91*d + 20. Let r(c) = -129*c**2 + 276*c + 65. Determine 13*n(l) - 4*r(l).\nAnswer: -43*l**2 + 79*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from qjqqqjqjjzjjjeq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.56 and 0.12.\nAnswer: -0.1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4805*x**3 - 8757*x**2 - 15514703*x?\nAnswer: 28830*x - 17514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 45*j - 34. Let b(x) = -2*x**2 - 42*x - 34. Let d(i) = -6*b(i) + 4*p(i). Let d(c) = 0. What is c?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132020558 by -1.\nAnswer: 132020558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91036402?\nAnswer: 2, 73, 623537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -53. Let h(x) = 2*x + 23. Let n be h(j). Let o = 6 + n. Put 5, 4, -1, o in descending order.\nAnswer: 5, 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = y - 4*s, s - 3 = -y - 4*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 1 + 0 + a**2 + (-3*a + 4*a + 3*a)*(3 - 3 + 4*a).\nAnswer: 15*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -304 divided by -4\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**5\/50 + 11*o**4\/40 + o**3\/2 + 64*o**2 + 60. Let f(r) be the second derivative of j(r). Find t, given that f(t) = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywhvhyvwwwwhshhygyy. Give prob of picking 2 h and 1 v.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -25. What is the smallest value in w, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176053 is divided by 88005?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Which is the nearest to -1.2? (a) j (b) 2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/11 in -3\/2, -5, 6, 337?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348 - 292. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 2 + 1 - 1 - 110*y**2.\nAnswer: -102*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58252354 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 20, -2, 5 in ascending order.\nAnswer: -5, -2, 5, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*l + 21 - 28, -2*c + 4*l - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/5 + 16*n + 66\/5*n**2 + 4*n**3 + 2\/5*n**4.\nAnswer: 2*(n + 1)**2*(n + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + 0. Let c = y - -0.08. Let a = c - 0.091. What is a rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 56919\nAnswer: -2\/56919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - v - 7. Let p(n) = -1. What is -l(g) + 5*p(g)?\nAnswer: -3*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 9 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -5*l - 33. Solve 4*u - 11 = -l*o + 2, -u - 1 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 58*z**2 - 171*z + 8. Let n be s(3). Solve -54 = 35*a - n*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1326\/65)\/(2220\/2664*(-12)\/(-25)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3 - 2\/3*s**3 - 2*s - 2*s**2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (6 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -86.9999999. Round j to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:45 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1 - 4 + 6835*k**2.\nAnswer: 6835*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:00 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5174775 divided by -344985.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + 17 - 1 - (-31 + -17)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 9) to base 8\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m + 0*m)*(-135 + 144*m + 272 - 138).\nAnswer: 576*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*(t**3 + 0*t**3 + 4*t**3) - 2*t**4 - t**4 - 2*t + t**4.\nAnswer: 3*t**4 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzzzjfjq. Give prob of sequence lf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*t + 43 - 82. Suppose v + 10 = -4*v. Let q be v\/6 + (-13)\/6. What is the nearest to t in 0.2, 6\/5, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 - 3*m - 2. Let o be a(5). Let s = -146 + 58. Let y be s\/(-3) + (-3)\/9. Calculate the highest common factor of y and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 63. Suppose -x = 7*x + 10*x. What is the remainder when b(x) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2879 + 2935.936. Let f = g + -57. Let m = f + 0.064051. Round m to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 3*v + 7. Suppose -w = 3*d, 7*w - 11*w - 11 = d. Let g be 3 - 9 - (1 - d). Is 17 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02744 to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygggyogygogo. What is prob of sequence yg?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 270\/131?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39 - 71 - 34*v**4 - 2*v**4 wrt v.\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2160 and 587952.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 7. Let j(l) = 14*l - 16. Let i(n) = -9*n + 11. Let p(g) = -8*i(g) - 5*j(g). Calculate the smallest common multiple of p(c) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (1*sqrt(154) + sqrt(154)))\/sqrt(7))\/(sqrt(64)\/sqrt(2)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by -23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + (-22)\/(-18). Let t(f) = 9*f**2 + f. What is the tens digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 16*c**2 + 7339*c - 576. Give t(78).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, 128, -0.08.\nAnswer: -35, -0.08, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414042.\nAnswer: 2, 3, 151, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-2 + 1 + 3)*(-2*d + 3*d - 5*d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 2. Let q(b) = b**3 - 3*b**2 - 4*b + 3. Let s be q(4). Determine m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 91.16908kg?\nAnswer: 91169080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(272) + sqrt(272) + sqrt(272) + -1 + 0)**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17758)\/2049)\/(130\/(-12))*5\/66?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2. Let u(r) = -2*r**2 - 5. Let v = -2 - -7. Let y(k) = 7 + 0*k + 6*k**2 + 0*k - 3*k**2. Let q(p) = v*y(p) + 7*u(p). Calculate h(q(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = -74*o + 179*o + 1428 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -161, -200, -249, -314, -401?\n\"Answer: -w**3 + w**2 - 35*w - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/15)\/(x*(x\/(x**(-2\/15)*x))\/x*x))\/(x**(-2\/5)\/x)**34)**(9\/10) assuming x is positive.\nAnswer: x**(417\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0, -2, 8, 6, 3, -15 in descending order.\nAnswer: 37, 8, 6, 3, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k + 1. Let w be (k*1)\/(2 + 8). Let j be 1\/5 - 4\/10. Which is the closest to -2\/7? (a) w (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 397.1 + -380. Let h = 20 + -3. Let y = h - p. Sort 3, 0, y.\nAnswer: y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13*(-3)\/(8 + -9). What is the highest common divisor of 338 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48711 and 146133?\nAnswer: 146133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -7*o**4\/6 - o**3\/2 - 6*o**2. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 5*c - 250. What is the hundreds digit of i(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 8*i + 2. Let g be t(8). Let w(d) = -66*d + 66*d - 4*d**g. Determine w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 10 = d + 5*i, -68 = -3*d - 4*i. Suppose 5*k - d = 4. Suppose -c = -k*q - 2*c + 80, -3 = -q + 4*c. Calculate the remainder when 54 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, -148, -1, 2894, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 26 = -2*d - 0*d, 3*i + 3*d = -21. Let k be (6\/i)\/(3\/(-6)). Let m(r) = r**k + 4*r**2 + 5 + 2*r - 5 + 1. Determine m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l - l + (-7*l - 7 + 7)*(2*l**2 - l**2 + l**2).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -50. Put 1\/2, t, -8, 0 in descending order.\nAnswer: t, 1\/2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let u(m) = 474*m**2. Calculate f(u(r)).\nAnswer: -948*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let g(p) be the first derivative of -p**2\/2 - p + 32. Give g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 8 + 4, 17*z - 15*z - 3*j - 37 = 7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 2*g)*(248 - 38 + 58) + g + 1 - 1 + (3 + 1 - 2)*(-g - 2*g + 2*g).\nAnswer: 267*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2. Let a(q) = 74*q**2 - 5*q + 3. Let p be a(3). Let d(w) = p - 654 + 4*w**2. What is k(d(h))?\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 26*n - 73. What is u(-31)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.88149 + 0.11851. Let h be (0 - -1) + (-42)\/28. What is the nearest to h in -44, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 70 = -0*u. Let k be u*(1 + 17\/7). Let b = k + 97. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2531201l in millilitres?\nAnswer: 253.1201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 14. Let i(n) = n + 2. Determine i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 3*t**3 + t**3 + (2*t - 3 + 3)*(-26*t**2 - t**2 - 3*t**2) - 153*t - 79 + 153*t + t**3 as n + i*t + y*t**2 + x*t**3 and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 79. What is the lowest common multiple of 12 and ((-2)\/((-4)\/27))\/(a\/22)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 335.6593938567.\nAnswer: 335.5593938567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**2*l))\/l)\/(l\/(l*l*l**(-1)*l)*l))**(-17\/3) assuming l is positive.\nAnswer: l**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 27. Let g(y) = 11*y - 1. Let n(s) = 175*s - 9. Let b(p) = -16*g(p) + n(p). What is 22*b(c) + 6*u(c)?\nAnswer: -4*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42319 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 91\/(-28) + 3 - (-17)\/4. Let g be (306\/(-816))\/((9\/u)\/1). Which is the third smallest value? (a) g (b) -19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 55*a**2 + 28*a + 12. Calculate u(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33522 (base 6) to base 14\nAnswer: -1a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 70676884.\nAnswer: 1060153260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(2*sqrt(3)*-1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4785 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*c - 10747 = 24715 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 2486?\nAnswer: 571.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 3*d - 23. List the prime factors of p(13).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424786541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**4 + 0*f**2 + 0 + 0*f**5 - f**3 + 7*f + 1\/72*f**6. Let n(o) be the second derivative of w(o). Factor n(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, 4755, 108, -5.\nAnswer: -5, 108, 149, 4755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2409 + 2583. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*y + 2723 = -207*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55435, 55430, 55421, 55408, 55391, 55370, 55345?\n\"Answer: -2*w**2 + w + 55436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 15*f**2 - 15*f**2 - 7 - 16*f. Let b be p(6). Let c(h) = -10*h + 3. Let v(n) = -19*n + 5. Calculate b*c(t) - 3*v(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 36*r**2 + 37*r - 47. Let d be n(17). Sort -2, -10, -5, 1, d.\nAnswer: -10, -5, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 + 46221096*z - 178032476286768 = 0.\nAnswer: 7703516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-138)*3105\/270?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 + z**2 - 2. What are the prime factors of a(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35810, 35812, 35816, 35822, 35830, 35840, 35852?\nAnswer: 35866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(637) + -1 + -1 - ((-2*sqrt(637) - sqrt(637)) + -3) - (sqrt(637) + -1 + 3 - sqrt(637))*-5))**2.\nAnswer: 5544*sqrt(13) + 92817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 8*s - 464. Calculate the remainder when 435 is divided by s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262.780577 - -823.6\nAnswer: 1086.380577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 - -162. Which is bigger: r or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1447 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59506.\nAnswer: 2, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = 0. Let h be (2 + (-4 - u))*-2. Suppose 29 = h*z - 19. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153627, -3, 3 in descending order.\nAnswer: 3, -3, -153627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.41 to one dp.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16604.79*53\nAnswer: 880053.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007842453 rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -45*l**2 - 100*l**2 - 97 + 2*l - 70*l**2 + 4*l - 110. Let n(x) = 861*x**2 - 27*x + 829. Let v(u) = -2*n(u) - 9*z(u). Differentiate v(h) wrt h.\nAnswer: 426*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s = 168. Suppose 5*a + s - 121 = 4*v, 29 = 2*a + v. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 1154?\nAnswer: 23\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 638527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 5*g = -34*g - 138 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 184 = 4*j. Let k = -24 + j. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -353*s - 282. Give v(-2).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115237406 a multiple of 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-2 + 2)\/(-3). Let h = x - -6. Suppose h*r + 2*r = 32. Calculate the smallest common multiple of 18 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 2, -4*d = 5*x - 53. What is the greatest common divisor of d and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - l**4 + 5*l**3 + (l**2 + 0*l**2 + 2 - 3)*(1340 - 1340 + 14*l**2) as o*l + m*l**2 + j + i*l**3 + q*l**4 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3305\/36 + -698\/9. Calculate the common denominator of 32\/5 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*m - 2*n, 2*m - 115*n = -228*n + 117*n + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(((-3)\/16)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Suppose 2*w - y = 12. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106.09 * 0.68.\nAnswer: -72.1412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7641 is divided by 1895?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-60)\/35*28\/3. What is the highest common factor of 15 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178390257?\nAnswer: 3, 59463419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 - 51*x**2\/5 - 108*x\/5 - 12.\nAnswer: 3*(x - 5)*(x + 1)*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 + 0*u - 86\/25*u**5 + 0 - 176\/25*u**4 - 8\/25*u**3.\nAnswer: -2*u**3*(u + 2)*(43*u + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -4) + 3 + 21. Solve b - k = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160909 is divided by 80446?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-9))\/(l**(2\/7)\/l)*(l**4)**(-1\/2) assuming l is positive.\nAnswer: l**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -2*x, d - 21 = 2*x - 4*d. Suppose 3895055 = -i + 3*v + 95052, 0 = i - x*v + 3800002. What is i rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**41\/(g\/g**(-15)*g))**(2\/15))**(-2\/5) assuming g is positive.\nAnswer: g**(-32\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 70*o - 143. What is n(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 6 + 0 - 3*c**2 + 4*c**2 + 0*c**2. Suppose -2*s = 84 - 72. Calculate f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3, -29, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 + 3*i + 2. Let d be r(0). Solve -2*z - c = -2, 0*z = 3*z + d*c - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4198 and 4288 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + o + 4 = 0, -5*i + 5 = -202*o + 206*o. What is the highest common factor of 293 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 21 = 33*d. Sort d, 4, 36.\nAnswer: d, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6035 and -51.\nAnswer: -52.6035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 - 176735*r**2\/4 - 2120793*r\/8 - 397647.\nAnswer: -(r + 3)**2*(r + 353464)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 1 - 11. Suppose 4*d - 40 = -0*d. Solve -5*o + 15 = b, c*b + d + 2 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391128135 a multiple of 4502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1570 - 1570.1. What is the second biggest value in -22\/9, s, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -21, -31, -43, -57?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 3. What is l(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137557473 to 6 dps.\nAnswer: -0.001376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 20*u**2 + 22*u + 48. Let h be b(-16). Let f be (-28)\/6*h\/(-42). Suppose -25 = -5*w + 55. What is the highest common factor of f and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d - 3*m - 24, 3*m - 6 = 5*d. Let h = -9724 - -9724.03. Which is the closest to -0.1? (a) -0.1 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1458\/1215*(-5)\/(-1). Solve -n*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 4, g: 4}. What is prob of sequence qq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -173.\nAnswer: -4\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 1)*(0*s - 3*s + s)*(2 - 1 + 0).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*m*z + 8576*h**3*m + 2*h**3*z - 5*h**3 - 2*h**2*m*z - 3391*h**2*z - 3*h*z - 11*m*z wrt h?\nAnswer: -12*m*z + 51456*m + 12*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 + 2*x - 2. Let s = 495 + -497. Let h(f) = -5*f**2 + 3*f - 3. What is s*h(w) + 3*c(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 59792\nAnswer: -59792.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 19. Let q be g(-7). Suppose 0 = 5*y - 62 + q. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2241, -2\/47, 0.05.\nAnswer: -2241, -2\/47, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147427 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 254064?\nAnswer: -254059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.2 and 1.12673.\nAnswer: -20.506486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7785 or 43?\nAnswer: -7785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 18*u**4 - 2*u**2 - 4 + u**3 - 19*u**4 in the form n*u**2 + s*u + w*u**3 + a + x*u**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -2, -402 in decreasing order.\nAnswer: 4, 3, -2, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 and -63\/53112652.\nAnswer: 53112652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + a + 5*a - 7*a**3 - 4*a + a**2 in the form i*a**3 + q + f*a + r*a**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i + 317 + 530 = -480 - 523 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48141.91493 rounded to the nearest integer?\nAnswer: -48142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/25)\/((-440)\/(-2200))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/300*-35*6\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 575073.\nAnswer: -10926387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1422*256284\/37968\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084416 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let b = t - -0.93. Is b greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**5\/30 - r**3\/6 + r**2 - 2. Let i(v) be the second derivative of t(v). What is the first derivative of i(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1754, 14075, 47538, 112715, 220178, 380499, 604250?\n\"Answer: 1762*g**3 - g**2 - 10*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 + 3*g**3 + 15*g**2 - 1 - 7*g**2 + g as u*g + c + o*g**3 + k*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 130. Let t be v(33). Suppose -t*h + 2*w = -336, 4*w - 173 = -15*h + 14*h. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 389 + -388.645. Let k = z - 3.355. What is the closest to -0.8 in 0.6, k, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyyz when four letters picked without replacement from {z: 8, o: 3, g: 4, y: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(14*(-8)\/(-1344)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -2.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 3*b**2 + 5*b - 1. Let x(l) = -l**2 - 7*l - 10. Let q be x(-6). Let z be f(q). Suppose -3*d - 17 = -z. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h. Let u(a) = 31556*a**2. What is u(f(o))?\nAnswer: 4544064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 47881 = 4*k, 5*g = -5*k + 35566 + 44224. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 650004.1 micrograms in grams?\nAnswer: 0.6500041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136927.\nAnswer: 7, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/3044963 and 109\/6.\nAnswer: 18269778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 251, 267, 287, 311, 339, 371?\n\"Answer: 2*x**2 + 10*x + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1530 and 62509.\nAnswer: 5625810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 24. What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 3*y - 6. What is a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10867.\nAnswer: 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 230335*b**2 - 230336*b**2 - 3*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.4, 1.3, 0.4, -4\/1675, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**6 - 1593717*c**5 - 20645947*c**2.\nAnswer: -960*c**3 - 95623020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(153) + (sqrt(153) - sqrt(153)*-2 - sqrt(153)) - sqrt(153))*4)\/((sqrt(9) + sqrt(45)\/sqrt(5))*-3)*-4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7724 = -48*x + 50*x, -3*u = 4*x - 15511. Is 3871 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**33*v))\/v)\/v)**(-47)*(v\/((v*v*(v\/(v*(v**(3\/5)\/v)\/v*v)*v)\/v)\/v*v))\/v**(-3\/16))**2 assuming v is positive.\nAnswer: v**(131503\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 84 + -e724?\nAnswer: -e6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 456 - 1237. Let a = 783 + l. Determine k so that 0 + 3\/4*k - 1\/4*k**a = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 5. Let q be u(-5). Let n(i) = -1 - 15*i + q*i + 2 - 3. Let d(y) = -4*y - 1. Let m(w) = w**2 - 7*w + 3. Let g be m(6). What is g*d(t) + 2*n(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10)\/((-6)\/710). Suppose -5 = -5*p - 20, 2*p = -2*b + s. What is the least common multiple of 11 and b?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xxgxxxxxxxxgxggxggx?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -761 divided by 12.\nAnswer: -761\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -11. Let h = -9 + p. Let d be (((-32)\/(-14))\/h)\/(-2). Which is the smallest value? (a) -3\/2 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*p - 4 = -2*h, 0 = -5*p + 20. What is h rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4681 + 599 = 22*v. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/21)\/((-2)\/3)*-635. Let r = 1389 + y. List the prime factors of r\/5 - 4\/(-20).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9, 0 = 4*y - 2*i - 0 - 34. What is the smallest common multiple of (-212)\/(-7) - 8\/28 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -389, -908, -1635, -2570, -3713?\nAnswer: -5064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/8 + -7\/40. What is the third biggest value in -0.1, 2\/3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*w - 701 = -66*w + 314 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 590 and 10995830.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/7)\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494987.\nAnswer: 494987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 2 - -14) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*m**2 - 200*m**2 + 79*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q - 399 = -1299. Let x = 1 - 0. Let j be ((-6)\/x)\/(q\/(-24)). Solve 0*c + j = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c**3 + c**2 - c. Calculate t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01746 and -13988.\nAnswer: -244.23048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 219*x**2 - 1204*x**3 + 1181*x**3 + 219*x**2 - 56.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 2, -1, -3 in decreasing order.\nAnswer: 2, -1, -3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 14\/(-4))*2. Let q(h) be the first derivative of 17*h**3\/3 + 5*h**2\/2 - 4*h + 53. What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -9*d**2\/8 + 9482307*d\/8 - 3160767\/4 = 0.\nAnswer: 2\/3, 1053589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255790001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104*u + 15 - 82*u + 202*u)*(3 + 0 - 4)*(-3 + 3 + 1) in the form f*u + h and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -5760?\nAnswer: -5760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**3 - 48*z + 48*z)*(-7 - 1 + 2)*(-1 - 2 + 5).\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*y + 106, 8*y = 5*u + 3*y - 100. Calculate the remainder when 129 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4\/3 (b) 88 (c) -0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 3*x**2 + 33. Suppose 12*q = 27*q. What is the tens digit of u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-25 + -19 - -56)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) 2\/5 (c) -3\/7 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**3 - 6*h - 114*h**3 + 6*h + 60*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 42 = 7. Let o(s) = s**2 + 9*s + 13. Let j be o(-2). Which is the second smallest value? (a) 0 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-11)\/(22\/(-20)))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3232839 divided by -51.\nAnswer: -63389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l - 5. Let p(w) = -2*w - 1. Suppose -x = -4*r + 4*x - 28, -r + 4*x - 18 = 0. Let t(c) = r*b(c) + 11*p(c). Determine t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91\/2 - -48. Are 2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m - 2*m)*(-8*m - 4 + 4 + (-3*m + 3*m + 2*m)*(-2 - 1 + 2) - 2 - m + 2).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45941 and 49?\nAnswer: 321587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 27*g**2 - 15*g + 23. Calculate m(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 5 - -2)\/(-1*1). Let h be (4\/6)\/(5\/45). Suppose h*q - 8*q + 60 = s. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-981)\/545)\/(1\/(-5)). Let q(t) = 3*t + 2. What is q(u)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1.53831430115.\nAnswer: -1.33831430115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -25. Let l = 1 - -1. Suppose -6 - 4 = -4*z + l*a, k*z - 4*a = 0. What is the least common multiple of 6 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24069887, -48139764, -72209641, -96279518, -120349395?\n\"Answer: -24069877*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*v = -60776, 3*v = 2 + 4. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 r when four letters picked without replacement from {b: 3, r: 5, d: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4 = 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 3 + 1)\/(2 + 4). Let x(v) be the first derivative of 0*v**2 - 3 - 2\/9*v**3 + l*v. Determine k so that x(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -70. What is the greatest common factor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 - 16*m - 63. Determine h(-6).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4\/2)*(-45)\/(-105).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -1. Let v = s - -5. Let w(g) = g**3 + g**2 + 1. Let u(r) = 0 + 52*r**3 - r - 1 - 3 - 4*r**2 - 55*r**3. Determine v*w(m) - u(m).\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*h + 200, -2*q - 17 = -25. What is the lowest common multiple of h and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 20. Suppose z = 4*x - 267890 + 75890. Suppose -7*y - x = -3*y. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4 and 0.9?\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337428700 rounded to the nearest one million?\nAnswer: -2337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7061 - -63.5359. Let n = q - 65. What is n rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + o + (-o - o + 4*o)*(2 + 2 - 2) + 6*o - 2*o - 2*o - 4 + 4*o + 4 + (-3 + 0 + 4)*(-1 + 1 - o) as g + j*o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*7\/14)\/(5 - 4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(-4*p + 3*p + 2*p)*(-1053*p + 537*p + 6 + 537*p).\nAnswer: 84*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.69181 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c. Is -3\/5 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a1336 + 12?\nAnswer: 12a1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172.3 - -173.3. Which is the closest to 42? (a) -0.05 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddydyyyyddddddyyyy. What is prob of picking 4 d?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81476540*s**2 + 9009708*s + 3?\nAnswer: 162953080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 3*b - 1, 6*t - 14 = -5*b + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -38. Let k = 16 - 8. Let i = m + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 15. Let k be u(9). Suppose n - 15 = k*n. Let b = 2 + n. Is b bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 576?\nAnswer: -576.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzztzztwzezeem. What is prob of picking 2 t, 1 w, and 1 m?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 0*k**4 + 0*k**4 + (-k**4 - 3*k**2 + 3*k**2)*(2 + 1 - 5) + (-2*k + 1 - 1 + (0 + 2 - 4)*(-6*k + 3*k + k))*(-4*k**3 + 8*k**3 + 10*k**3).\nAnswer: 29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*g - 14681 - 706 = 0 for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(4\/1) - 2 - -43. Suppose 0 = -3*b + 7*b - d. Suppose 0 = f + 1, -w + f = 4*w - 26. Calculate the lowest common multiple of w and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66655 or 66656?\nAnswer: 66655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**3*t**2 + 9*o**3*t - o*t + 3189*t**2 wrt o.\nAnswer: 9*o**2*t**2 + 27*o**2*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/(-125))\/(4\/(-5)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5727362650?\nAnswer: 2, 5, 114547253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwllpegygglg. What is prob of sequence we?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -6.5. Which is the smallest value? (a) q (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13) - 1*sqrt(13)*-2)*6 + -1*sqrt(13)*3*-2.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - 2*b + 3*b)*(0 + 2 + 0) + 15*b - 7*b + 41*b as g + f*b and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 75*h**5\/4 - 3835*h**4\/4 + 5591*h**3\/2 + 1219*h**2 - 2074*h + 480 = 0?\nAnswer: -1, 2\/5, 10\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 4. Let a be x(-3). Let d = a - 1. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 78486 = 5*h + 12631, 5*h = -5*r + 65875. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 u when four letters picked without replacement from nnnnnnnnnnnnnnnunnnu?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:50 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12 = j - 3*y, -16 = 2*j - 4*y. Suppose 2*f - 3*f + 205 = j. Calculate the remainder when f is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2060\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446304756?\nAnswer: 2, 3, 19, 1957477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 11. Suppose -151 = -5*c + t, 0*c - 119 = -4*c - t. Suppose 5*o - p = c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 85. Suppose 13*w + 380 - 68 = 0. What is the tens digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:37 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 275199356 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millisecond in microseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*v**2 + 3*v**2 + 5*v**2 + (-1 - 3*v + 1)*(0*v + 0*v - 2*v) + (0*v + 2*v + 3*v)*(-3 - 2*v + 3).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*g**6 - 8275*g**3*v**2 + 22*g**2*v**2 + 2*g**2*v - 6*g**2 + 3*v - 937 wrt g?\nAnswer: 16080*g**3 - 49650*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 2 + 2 + (4*l + l - 3*l)*(0 + 0 + l**2) - 4*l**3 + l**3 + 2*l**3 - 20*l**3 - 100*l**3 - 41*l**3 + (4*l + 3*l - 6*l)*(3*l**2 + l - l).\nAnswer: -156*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4829 and 206690.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/144)\/(10\/(-28)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 11*w + 8. Let c be b(12). Let k(l) = l + 4. Let p(o) = o + 3. Let y(f) = c*p(f) + 3*k(f). Let v(t) = 20*t**2. Give v(y(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133591 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: Differentiate 12213475*b*j*k**2 - b*k**2 + 26*j*k**2 - 14*j - 3*k**2 + 10 wrt b.\nAnswer: 12213475*j*k**2 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 13820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8525 and 10571?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1075\/(-73100))\/((9\/12*1)\/3).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519869 is divided by 471?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21421067*f**3 + 121504617*f.\nAnswer: -128526402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1696 and 9368068?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:07 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124497 is divided by 132?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14242437 divided by -11.\nAnswer: -1294767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 2*t + 13 + 6*t. Let a be u(-13). Suppose -2\/7 + 2\/7*c**2 + a*c = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147809334?\nAnswer: 2, 3, 1223, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7165 (base 11) to base 5.\nAnswer: -301014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 556 and 2.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 242\/23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*j - 37 = 0, -28*d - 2*j = -24*d - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72\/189*(20 + (-3768)\/192)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 3620245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n - 17. Let z(f) = f**3 - 2*f**2 + 2747*f - 32. Give 2*b(a) - z(a).\nAnswer: -a**3 - 2745*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 1)*(-4*g + g + 2*g) + 134*g + 8668 - 8668)*(-2 + 2 + 3).\nAnswer: 405*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -309.4 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42033?\nAnswer: 3, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h + 91\/4*h**4 + 0*h**2 + 231 - 164\/3*h**3. What is the third derivative of n(p) wrt p?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124\/3 + 41. Which is the second smallest value? (a) 2\/3 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.08 + -0.08. Let r = -0.9 + 0.3. Let c = r - -0.2. Sort -5, b, c in decreasing order.\nAnswer: b, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4735\/84 - 429\/7. Let w = 5171\/738 + -80\/41. Calculate the common denominator of x and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/((p*p\/(p**2*p))\/p)*p))\/p*p)\/p)**(-1\/6)\/((p\/((p\/(p*p**(1\/5)))\/p))\/(p*p**4)) assuming p is positive.\nAnswer: p**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (1 + -6 - -10 - 9 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-14)\/140)*24\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -642*h + 629*h - 156 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 40 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 12) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13864 + -9021. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*((-340)\/(-8))\/(-17)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, c: 1, v: 1, k: 1}. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.1, 10, -3, 1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-108)\/(-45)) - (-146)\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107133920 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -24, -34, -46, -60, -76?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-2)*(-4)\/2. Suppose 1 = -4*b - l - 52, 36 = -3*b - 2*l. What are the prime factors of (-94)\/b - 2\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684400538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-484)\/363*1911\/(-52).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -561 - -561. Suppose 25*a = -i*a + 4400. Calculate the remainder when a is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.807 times 6.772\nAnswer: -39.325004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(6*(-2 + sqrt(1700)) + sqrt(1700) + -1 + (0 + sqrt(1700)*1 + sqrt(1700) - (sqrt(1700) - sqrt(1700)*2)*2)))**2.\nAnswer: -9680*sqrt(17) + 823284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 4*l - 4. Let q be w(4). Find the common denominator of ((-59)\/q)\/((-20)\/16) and -53\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 7 + 7)*(-1 + 0 - 8*h + 25*h) to the form m + v*h and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4*w*z - 2647*r**4*w + 6*r*w*z + 142*r + z wrt r?\nAnswer: 12*r**2*w*z - 31764*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -24*l**3 - l**2 + 13*l + 6. Let t(m) = 48*m**3 + 2*m**2 - 30*m - 13. What is 7*n(o) + 3*t(o)?\nAnswer: -24*o**3 - o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.9 - -0.9. Suppose -8*g - 3 = -9*g. What is the second smallest value in z, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let o = -57 + 26. Let v = o + 30. Sort t, v, -3 in descending order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, -5, 4, 5, -1 in ascending order.\nAnswer: -133, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f**2 + 476*f + 14. Let d be z(28). Solve 5*a = a - 3*u + d, -4*u = 2*a - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 4*f - 17. Let n(m) = m**2 - m - 6. Let u(d) = 11*n(d) - 4*w(d). What is p in u(p) = 0?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 84 = -0*m. Let b be (350\/91)\/(8\/52). Suppose b = m*w - 23*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 10 (b) -0.2 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 242*b + 194 + 212 - 404 + (0 + 0 - 2*b)*(b**2 - 5*b**2 + 2*b**2).\nAnswer: 8*b**3 + 242*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4484*y**6 - 547*y**3 + 76990*y**2 - 4*y + 3 wrt y?\nAnswer: 538080*y**3 - 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 1448, 2164, 2880, 3602, 4336?\nAnswer: 5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = j - 4*u + 11, 5*u = -5. What is the common denominator of (553\/112)\/((-27)\/j) and -35\/111?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8\/3, 113819, -1\/2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(1 + 19\/7 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531248 divided by -1311?\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + o**2 - 3*o**2 + 2*o**3 - 10*o**3 + 0*o**3 - 20*o**3 + (3*o**2 - 2*o**2 - 2*o**2)*(0*o - o + 2*o) - 2*o + 2*o + 4*o**3 - o**3 + 2*o**3 - 2*o**3.\nAnswer: -30*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.07, 4\/9, 1\/2 in increasing order.\nAnswer: -0.07, 4\/9, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90953990.\nAnswer: 2, 5, 41, 97, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3606? (a) -1\/5 (b) -77 (c) 4 (d) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 508 = -2*w, -w - 5*k - 270 = -0*w. Let y = 14 - 6. What is the smallest common multiple of y and 6\/42 + w\/(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39921, -79923, -119925, -159927?\nAnswer: -199929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -1013014?\nAnswer: 1013001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 0, -4*s + 12 = -s - 2*b. Suppose 0 = -4*y + 4, -5*q + 3*q + 21 = 5*y. Suppose -q = -4*k + s. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8903\/42 - -661\/3. What is the common denominator of y and -15\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94655 + 20.\nAnswer: -94635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -5)*(-846)\/(-20). Let r = v + 85. Let z = 57 + -170\/3. Which is the nearest to r? (a) z (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246969.8nm in millimeters?\nAnswer: 0.2469698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12.0572 centimeters?\nAnswer: 0.120572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, j: 3, k: 2, n: 1, a: 1, l: 3}. Give prob of picking 1 j, 2 e, and 1 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400603*p = 1400409*p + 11252 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjijtttjtjt. What is prob of sequence jj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/20 + 5*q**4\/8 - 4*q**2. Let c(p) = -p. Calculate -15*c(u) - z(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(4))\/sqrt(3) + sqrt(14) + (sqrt(686)*3 - sqrt(686)))\/((sqrt(56)*4)\/(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2)*5) - sqrt(2))).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13980398051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*-1 + sqrt(65) + sqrt(65) + sqrt(65))*5)\/(sqrt(5) - sqrt(30)\/sqrt(150)).\nAnswer: 75*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + z**4 - 3*z + (2*z**3 + 3*z**2 - 3*z**2)*(-2*z - 2 + 2) + 6 - 8 + 0 - 6*z**4 to g*z**3 + i*z**4 + u*z + m*z**2 + x and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + m = -8, 21 = -7*u + 6*u - 5*m. Let k(a) = 4*a**2 + 3*a + 2. Let q(h) = h**2. What is u*k(o) + 6*q(o)?\nAnswer: 2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 99485561 - 5\nAnswer: 99485556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uejueukuumuuuukuuk. What is prob of picking 1 m, 1 j, 1 u, and 1 k?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -17. Let r = a + 26. Let h be ((-4000)\/r)\/((-4)\/5550). What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486132 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*x - 5*s, 163*s + 76 = -2*x + 210*s - 35 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20687222174.000000215 - 20687222111. Let v = g - 63. Round v to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (2 - (-3 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (7 + 3 - 5) - (33 - 68).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 10. Let f(x) = -1. Let j(y) = -19*y - 229. Let z be j(-12). Give z*l(a) - f(a).\nAnswer: a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**3 + 35*t - 9*t**3 + 2*t**2 - 7*t**4 + 2*t**2 - 36*t - 9*t**4 - 1 to b + v*t**4 + f*t**3 + p*t**2 + d*t and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*s + 4*w, -3731*s + 12 = -3736*s + 3*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4107 = -s, -31*s - 15 = -36*s. Let n = i + 4489. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0 (c) 2169 (d) 0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.22598ms to hours.\nAnswer: 0.00000034055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (-4*(sqrt(78)*4 + sqrt(78))*-2)\/(sqrt(12)\/(sqrt(14)\/sqrt(252))))**2.\nAnswer: 5200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444207.9 decades to centuries.\nAnswer: 44420.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1886*n - 82224 = 74170 + 75584 for n.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216, 176, 136, 96, 56, 16?\n\"Answer: -40*z + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 o when three letters picked without replacement from {o: 1, l: 1, x: 10, t: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86372 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 51 - 967. Find the common denominator of -63\/5 and c\/24 - 2\/(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72332884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 52*h**2 + 1288*h + 2352 = 0. Calculate h.\nAnswer: -14, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let j(x) = 148*x**2. Give n(j(q)).\nAnswer: -148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2651 + 2662. Calculate the remainder when 493 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7599 - 76?\nAnswer: -7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 772170 and 308868?\nAnswer: 1544340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2045 + -2041. Which is the closest to 3? (a) -5 (b) -0.6 (c) k (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/92 and -5\/32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xstqsmf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 7*j + 4*j + 4. Factor -9\/7*i + 9\/7*i**3 + 3\/7*i**2 - 3\/7*i**j + 0.\nAnswer: -3*i*(i - 3)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(484\/(-158) - -3) - 21\/35. Solve -y*t + 144 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32617 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2 = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -7.\nAnswer: 125\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2123 (base 11) to base 12\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -174*j**4 + 8*j**3 - 4*j**2 + 86. Let h(n) = -522*n**4 + 22*n**3 - 11*n**2 + 259. Let i(q) = 4*h(q) - 11*l(q). Differentiate i(m) wrt m.\nAnswer: -696*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keekzkekz. What is prob of picking 2 e and 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/645)\/(2\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 10) to base 7.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 2 = 4*d, 5 = d + 2*p. Suppose r - 3 = d. Solve 0 = -r*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*t - 6*t = 0, 2*t = c. Let o(b) be the second derivative of c - b + 1\/4*b**4 + 0*b**2 + 1\/3*b**3. Find the second derivative of o(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*s + 46. Suppose 1416 = s*r - 750. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-6))\/(95\/190).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 15*m + 14. Let u be j(15). Let c = 24 - u. Suppose -f + 26 = -c. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4752, -19003, -42772, -76053, -118840, -171127?\n\"Answer: p**3 - 4765*p**2 + 37*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488445902 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 21*n + 60. Is y(-20) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 10*t + 4*t)*(4 - 2*t - 4 - t**2) - 60*t**2 - 17*t**3 + 60*t**2.\nAnswer: -14*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.1, 7, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1788 + -1756. Calculate the remainder when 1054 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408968593 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 86*r**3 - 494*r**2 - 15*r - 51199 wrt r.\nAnswer: 12*r**2 - 516*r - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-4))\/((-6)\/4). Suppose s*g = 2*g + 10. Let r(q) = -4*q**3 - 5*q**2 - 4*q - 1. Let t(j) = -2*j**3 - 2*j**2 - 2*j. What is g*t(m) - 2*r(m)?\nAnswer: -2*m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434400 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1755, -1787, -1841, -1917, -2015, -2135, -2277?\n\"Answer: -11*t**2 + t - 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 16) to base 11\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*f = -134595 + 142245 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 11. Let b = 48 + m. Suppose -b*y + 1157 = -788. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001080048 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.093.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119599 is divided by 548.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 336 + 9 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11383888?\nAnswer: 2, 19, 37447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 121897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 < 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115539.\nAnswer: 3, 19, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from {q: 1, z: 3, f: 2, x: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -12 + 4 - (2 - 16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 12*v**2 + 10*v**5 - 79*v + 79*v wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2\/2 - 13311*m. Let f(q) = -8*q**2 - 2*q + 3. Give -2*a(n) + f(n).\nAnswer: -6*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 3 (c) 7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1577932 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-2)*(-4)\/((-32)\/10). Let x be 6\/j - 16\/(-10). Let g be 8\/(-12)*3 - (x + -10). Solve 0 = -d - d - g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2 + 4 - 1 + 12*b - 10*b. Give w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(4\/8)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 2. Let f be (-75)\/(-45) - 1\/(-3). Let s be 6*1\/(-3)*f. What is l(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57229688 by -28614844.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4758543\/17 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v + 0*v + (-v - 2*v + 2*v)*(3 + 1 - 6) + (4*v - 3*v + v)*(2 + 6 - 3) to n*v + y and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4997801 is divided by 287?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*d**3 - d**2 + 136 wrt d.\nAnswer: -150*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*p + 10, 6*p - 3*p - 4*c = 15. Calculate the highest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 - (0 + 2 + 15 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d4 + -189?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1.053. Let k = 260.277 - 260. Let f = c - k. Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 258. Let r = 128.9999943 - m. Round r to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*f**3\/3 + 165940*f**2\/3 + 17938368*f + 7278336.\nAnswer: 4*(f + 648)**2*(32*f + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/15 - 176*j\/15 + 1702\/5 = 0. Calculate j.\nAnswer: -111, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 9 - 9)*(-3*p**4 + p**4 + 3*p**4) + (5*p**3 - 4*p**3 - 3*p**3)*(p**2 + 7*p**2 - 2*p**2).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - z + 9 = 0, 3*i - i - 9 = 5*z. Let g = -375 - -374.94. Put g, 3\/4, i in decreasing order.\nAnswer: 3\/4, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 31*c**2 + 83*c + 44. What is k(28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = 4*x, -5*g - 2*x - 11 = 12. Let h = 4 + g. What are the prime factors of 10 + (1 - h - 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2769 and 568?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -82 + 53 + 3 + 5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/23 <= -81.096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, 3069418 in descending order.\nAnswer: 3069418, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 1141309.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from awswzsswqqwswwzqs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3 + (-32)\/(-10)). Let k = u + -18. Sort 5, 3, k in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225978876 rounded to the nearest one hundred thousand?\nAnswer: -1226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -2456, -3684, -4912, -6140, -7368?\nAnswer: -8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d - 1. Let v(w) = -w + w**3 - 10*w - 31*w**2 + 22*w**2 + 6. Let o be v(10). Calculate the remainder when 93 is divided by i(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Let r = 25 - 9. Calculate the least common multiple of r and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 9) to base 4\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 410*s - 3217. Let t be l(8). What is the nearest to t in 4, -62, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3 and (-165)\/50 - 3\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6508?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, p: 5, e: 3}. Give prob of sequence elpl.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17805076 (base 9) in base 10?\nAnswer: -8979162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.97 - 2496.\nAnswer: -2492.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/5)*j**14\/j)**(1\/13)*(j*j**(-8)*j*j**6)\/(j*j*j**(2\/3))**(25\/3) assuming j is positive.\nAnswer: j**(-12361\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(3\/2)*j))\/(j*j**33*j)*(j**(1\/18)*j)\/j**3)**(-47) assuming j is positive.\nAnswer: j**(15416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -3*u, 4*u - 2*q + 5*q = 28. Suppose -2 = u*p - 10. What is the second derivative of 2*i**2 + 0*i**5 - p*i**2 + 4*i - 2*i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008978 to 6 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-27)\/108 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 + 14*h**2 - 12*h**2. Let w(z) be the third derivative of -z**4\/2 + 13*z**2. What is k(w(c))?\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s - 10)*(0*s + 3*s - 4*s + (3*s - 3*s + s)*(2 - 1 + 1) + s + 2*s - 2*s)*(-2 - 1 - 3).\nAnswer: 12*s**2 + 120*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 39. Let q be x(0). Let z = 71 - q. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25245611 is divided by 771?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1349*l. Let d(w) = -2*w. Give q(d(p)).\nAnswer: 2698*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*o + 21762442 - 21765434 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.11 + -0.11. Let y = u + -9. What is the nearest to -1 in 1, -1\/5, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-10)*(5 + -321)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 bigger than -1234785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 - -515. Suppose -49*c = -42*c - z. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123862.\nAnswer: 2, 561931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1 - 23 - (-4792 - -4790)) + -88.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38894 is divided by 9721.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 372703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5.085 - -68.88922\nAnswer: 63.80422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003162 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 - 2*a**2 + 4*a + 7. Let r(j) = -5*j**3 + j**2 - 3*j - 6. Let u(n) = -3*h(n) - 4*r(n). Is u(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**3 - 3*q**3 - 18 + 19)*(29*q - 3*q + 40*q) to the form c*q**4 + o*q**2 + i*q**3 + w + j*q and give c.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 71, -35769, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22292923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9200 and 1\/3024500?\nAnswer: 12098000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6278 and 3?\nAnswer: 6281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. What is the remainder when x is divided by (-7 - -6)\/(3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(896)*5)\/(-5*-1*(sqrt(21)\/sqrt(3) + sqrt(7))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -1290*t**2 + 3\/2*t**3 + 557283 + 552111\/2*t = 0.\nAnswer: -2, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 134774 = -5*f - 134677, -3*f = r - 48 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -138*z - 428. Let j(b) = 277*b + 851. Let q(w) = -5*h(w) - 3*j(w). What is the first derivative of q(r) wrt r?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxvhhhvxv. What is prob of sequence vhhv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -21. Let y be (6\/(-12))\/(o\/12). Let u = -19.86 + 21.86. What is the second biggest value in u, 0, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.2 + 74.2. Let z = 1.4 - 36.4. Let n = z + u. Which is the biggest value? (a) n (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4315 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.6. Let v(j) = -j**3 - j**2 - 2*j + 5. Let w be v(0). Suppose 0 = -h - r - 6, -6 - 4 = w*h + r. What is the third smallest value in t, h, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75 - -4) + (2875 - 2911)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k - 2. Let y be (1\/2)\/((-3)\/(-18)). Let f be c(y). Suppose -8 = 2*h, -4*x + x + 67 = -f*h. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691889 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Let k(i) be the first derivative of i**2 + 0*i**4 + 0*i + 0*i**3 + 2\/5*i**o - 2. What is the second derivative of k(c) wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = 22*k + 486 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 216, 11, -15.\nAnswer: -15, -4, -1, 4, 11, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = q - 5*p, q + 2 = -8*p + 4*p. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -686, -1063, -1482, -1955?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4\/5 + 6992*i**3 - 76387596*i**2\/5 - 6992*i + 15277520 = 0.\nAnswer: -1, 1, 4370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5915718 + w**3 + 2156829 - 2*w**3.\nAnswer: -w**3 - 3758889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3818117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.462 - -5.122. Put 3, l, -0.2 in decreasing order.\nAnswer: 3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1339 + 13*a + 663 + 667)*((-3 - 3 + 5)*(0 - 3 + 1) + 1 - 2 + 4) as m + r*a and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 8*u**2 + 113*u**2 + 34*u**2.\nAnswer: 155*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*k - 5*b, -11*k + 8*k = -2*b - 41. Let n be (-31)\/(-3) - 1\/3. Let h = k - n. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/13 - 108*q\/13 + 1360\/13 = 0. Calculate q.\nAnswer: 20, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/3, 3, -0.09, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g + 4. Let y(n) = 21*n + 17. Calculate 9*b(x) - 2*y(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*p - 4\/5*p**2 + 0.\nAnswer: -4*p*(p + 105)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26344 - -26339. Let c be 4\/14 - 1165\/1995. Let o = c - -12\/19. What is the nearest to o in t, -1.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/15))**(-1\/64)*(g\/(g\/(g**22*g)))\/g**(22\/3) assuming g is positive.\nAnswer: g**(1253\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94965947*f**3 + 384692552*f**2.\nAnswer: 569795682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w\/(w*w**(3\/5)*w)*(w\/(w\/(w\/(w**(-22)\/w*w)*w*w)*w))\/(w\/w**(-6)))**(-30) assuming w is positive.\nAnswer: w**(-507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/14 and 33\/10353716.\nAnswer: 72476012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 24 = -11*o. Let t(j) = -12*j**2 - 8*j + 16. Let y(g) = -g**2 - g + 1. Let n(i) = -2*t(i) + 22*y(i). What is the units digit of n(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 19*m - 108 = 0. Let b be (-324)\/(-42) + 4\/14. Suppose -s = -y + m, 4*s = -5*y + b*s + 140. What is the greatest common factor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372716 + -5710?\nAnswer: 365006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(11) - sqrt(132)\/(sqrt(24)\/sqrt(2)))**2) + (3*sqrt(44) - (-2 + 3 + sqrt(11)))**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 18. Let v be b(0). Let i = v + -16. Suppose -9 = -j - i*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 528, 791, 1054?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, -3, 597 in descending order.\nAnswer: 597, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 3*b - 3. Let n be g(-3). Let i be ((-6)\/n)\/(-1 - (-22)\/24). Suppose -i*c = -544 - 209. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + 9. Suppose 0 = 29*g - 775 - 66. What is the greatest common factor of u and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:37 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 21. Suppose -30 + 100 = -2*j. Let b = j - -37. Calculate the remainder when w is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864 (base 15) in base 10?\nAnswer: -1894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 166, 241, 328, 421, 514?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(-1 + 2). Let n = 4 + v. Is (10 - 1)\/(n + -2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 298. What is the greatest common divisor of 48 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587064533 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/7 - 174\/(-21) and 53\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295317 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 4. Let a be -1 + 1 - (-5)\/5. Let h be a - 2 - -2 - 0. What is the greatest common divisor of h and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 37*u**3 - 38*u**3 - 3*u + 3*u**4 + u - 2*u + 18 as q*u**4 + l*u**3 + p*u + h + z*u**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 9*b + 7. Let u be v(-9). Let g be u + (3 - 4) + 0. What is the second derivative of 7*c - 19 + g*c**5 + 4*c**5 + 19 wrt c?\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 - 273. Calculate the remainder when 159 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 943921 and 1660.\nAnswer: 945581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Suppose -18 = -2*j + c. Suppose 0 = -s - 3*s + j. Solve 0 = m - 8 + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {g: 7, u: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**5\/20 + 3*c**4\/16 - c**3\/6 - 3*c**2\/2 - 2*c + 853. Factor q(k).\nAnswer: (k - 2)*(k + 1)*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 4 + 4 + (-3 - 8*l + 3)*(-4 + 4 + l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 8) to base 2.\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -5 - -7) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10367637 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 - (5\/(-7))\/(43\/(-301)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5667?\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7156876 millilitres to litres.\nAnswer: 0.0007156876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.117 + -0.143. Let i = -1646934.740047 - -1646936. Let x = i + s. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -24*k + 58. Suppose k*h = 10*h. Suppose 1\/7*q + h + 1\/7*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*u**4 - 440*u**3 - 42491*u**2?\nAnswer: -1944*u - 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63675735*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - (2*264\/54 - 9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y + 4*y. Suppose y = 2*v - 6*v + 12. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 24678.\nAnswer: -2467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -546, -813, -1070, -1317, -1554?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2774 divide 64567624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r + 91. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 82*n + 87*n - 17 = 0, b + 5*n - 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (-4 + -4 + 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -291 and 15028?\nAnswer: -4373148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37296)\/(-270) - 2\/15. Suppose c = 2*m + 3*i, -i + 27 + 43 = m. What is the remainder when m is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 56 = -4*f, -10*f + 11*f = 3*o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*q + 12, -20 = -5*q - 0*q. What is the remainder when (10 + (-138)\/14 - 234\/(-28))*14 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -906*n + 11. Let o be b(-5). Suppose 3*a + a = -8, 2*a = g - o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 6:38 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - -0.4. Let o = b + -0.7. Round o to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148068, 148066, 148064, 148062, 148060?\nAnswer: 148058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 8:38 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 8, -59.\nAnswer: -59, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*j - 292, -o + 21*j = 24*j - 156. Suppose -46*t + o = -43*t. Calculate the least common multiple of 6 and t.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, 48, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 5. Let o(s) = -s**2 + 19*s - 31. Let l be o(17). Let v(c) = -33 + 10 + 19 - l*c. What is 5*n(j) - 6*v(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express -200*k - 222*k + k**3 + 24*k as x*k**2 + l + w*k + m*k**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 + 13*x**2 - 17*x - 7. Let v(h) be the second derivative of -h**5\/10 - h**4\/2 + 4*h**3\/3 + 3*h**2\/2 + 270*h. Determine 6*r(b) + 13*v(b).\nAnswer: 4*b**3 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let h(n) = 2*n**2 - 8. Let c be h(2). Let o(x) be the third derivative of 4*x**2 + 0*x**3 - 1\/24*x**4 + c + 0*x. Calculate o(f(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o**(1\/6)*o\/((o**(-4)*o)\/o)*o**(4\/7)*o*((((((o**4\/o*o)\/o*o)\/o)\/o)\/o*o)\/(o**(-4)*o))**(9\/7) assuming o is positive.\nAnswer: o**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1152*s**4 + 37503*s - 76235018?\nAnswer: 4608*s**3 + 37503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 110000?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 795 - 798. Let u = -4 + 4.2. Let y = u + -0.19. Which is the third smallest value? (a) y (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8746014.1996 + -8743724. Let h = j - 2291. Let a = -0.8 - h. What is a rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7590 and 72?\nAnswer: 91080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629378151.\nAnswer: 3, 31, 71, 95317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 - i - 8. Let n be p(-6). Let h be (5\/2)\/(n\/4). Let w = -1 - h. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 9. Suppose -100 = -7*c + 187. Let d = c - 48. Calculate n(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 4\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 24. What is the tens digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 5)*(-800)\/6. Suppose i = -5*u + 2*i + 511, -4*u + 3*i = -v. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/8 - 9*g**4\/8 + 15*g**3\/8 - 7*g**2\/8.\nAnswer: g**2*(g - 7)*(g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/4 - 7*w**3\/3 - w**2\/2 + 10*w + 5. Let r = -3 - -10. Let a be t(r). Calculate the greatest common divisor of a and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-11)*v*v**(-5))\/(v**(-2)\/v*v*v**(1\/13)\/v) assuming v is positive.\nAnswer: v**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l**2 + 4*l + 4. Let w be x(-4). Suppose -5*u + 120 = 4*a + w, -3*a - 3*u = -72. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 84762410?\nAnswer: 593336870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:06 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d - 1312 = 5*z, 4*d - 4*z + 52 + 78 = 14 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17259 - 2?\nAnswer: -2.17259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(539) + -3.\nAnswer: -21*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 67*j - 11676. Let l be s(135). What is the greatest common factor of l and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/(-14) - 7)*(-42)\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009319955?\nAnswer: 5, 29, 2081, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130254203 (base 6) to base 2.\nAnswer: -1001101100101100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 22*w - 432. What is the remainder when 264 is divided by p(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose 3*b - 4*r = r + 15, -4*b = -5*r - 15. Solve b = -2*t + i*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 23. Determine m(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t*t**(-3) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15.15715 centuries?\nAnswer: 1515.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64774\/1390 + ((-12)\/30)\/(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 20. Let k = -16 - -12. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6665125 and 168975?\nAnswer: 59986125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -9, -1093\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26263 + 2183?\nAnswer: -24070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 530649 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13961 (b) -4 (c) 8\/5973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23962.981111 + -23963. Round g to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4469 - -6697. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/5 + 36*a**3\/5 + 21*a**2\/5 - 144*a\/5 - 132\/5 = 0?\nAnswer: -11, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 186 - 816. Let q = 16 - t. Suppose 0 = -2*h + q - 42. Round h to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2367 times 1748?\nAnswer: -413.7516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 2, x: 1, f: 2, y: 1}. What is prob of sequence xfnf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838826577?\nAnswer: 7, 29, 1294037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3 - -3) + (41 - 36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 277 = -23*d + 2*g, 12 = 3*g. Which is smaller: d or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.1 - -54. What is the nearest to 2 in s, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36375 divided by -3.\nAnswer: -12125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44536224043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 + 8*r**4 - 13*r**3 + 3*r**2 + 364 wrt r.\nAnswer: 60*r**2 + 192*r - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27672?\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -5*l + 4*z + 34, -2*l + 2*z = -80. Calculate the least common multiple of 210 and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 349302a3 + -2?\nAnswer: 349302a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10821166 and 0.1.\nAnswer: -10821165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14\/9 (b) -274 (c) -1\/16 (d) -1\/2 (e) 1 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let l = 68 + -341\/5. Let n = -12.1 - -12. Which is the closest to n? (a) l (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 5, p: 3}. What is prob of sequence pb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040248687 to five decimal places.\nAnswer: 0.04025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803741239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -2*s - 4*p, -5*s + 3*s - p = -715. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24369337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 21*r + 21. Let q(a) = -a**2 - 5*a - 5. Let j(d) = -5*b(d) - 21*q(d). Let h(c) = -c**2. Determine h(j(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49183 - -98183. What is i rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 7)\/((-6)\/3). Suppose -k = -2*h + 9, v*h + 4*h = k + 13. Solve 9 = -h*q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 179*u**5\/20 - 6*u**2. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45693 is divided by 182.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468722 by 229.\nAnswer: 468722\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -0.3 (c) -1 (d) -106\/7 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:42 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 263*v - 3920. What is s(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000441182 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let i = 5.95 - 6. Let r = i + -0.45. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9838*j*p + 26*j + 222 wrt p.\nAnswer: 9838*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, 3*r - 5*r + 4 = 3*x. Suppose 3*p - r = -2*o - 1, 5*p = 2*o + 7. Put 4, -4, p in increasing order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejjzjjejjjjjjjjjjzzj. Give prob of sequence jzze.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107549\/17 or -6325?\nAnswer: -6325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/4 - 8*f**3\/3 - 6*f**2 + 28*f + 101. Let i be x(9). Solve -i + 9 = 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-8))\/((-1)\/2)*24779\/349.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80703 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 h(z) = z**2 - 19*z + 17. What is h(14)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 + 214. Suppose 5*y = -9*y + b. Solve -4 - 8 = -2*x - 3*n, y*x - 11 = 2*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6 + (4 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 101*x**3 - 2*x - 36*x**3 + 18*x**4 - 20*x**4 to t*x**3 + k*x**2 + p*x**4 + w + g*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 14*t**2 - 17)*(5 - 2 - 2)*(0*t - 5*t + 1 - t).\nAnswer: -84*t**3 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.518, 5, -9639 in descending order.\nAnswer: 5, 1.518, -9639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n + 1. Suppose 11*c = 12*c - 3. Suppose -5*b + 35 = 5*w, 3*w - 6*b = -3*b + c. What is the units digit of u(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 + 6171*r**3 + 20087*r**2 + 17004*r + 3092 = 0.\nAnswer: -2, -1, -1\/4, 1546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.975378 millennia?\nAnswer: 35704.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 + 2*u - 2. Suppose 2*w = m - 4, -m - 3*m + w = -9. List the prime factors of p(m).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 2, b: 4, t: 1, h: 3, l: 1}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 138\/(-759)*(-43)\/14 and 27\/98?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/12 + 16*a**2. Let d(h) = -4462*h. Give d(f(o)).\nAnswer: -8924*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 304, 1047, 2504, 4915?\n\"Answer: 40*r**3 - 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**3 + 0*h**4 + 0*h + 0 + 55*h**2 - 1\/30*h**5. Let l(w) = 3*w - 29. Give l(u(f)).\nAnswer: -6*f**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -810 - 161*x + 235 - 162*x - 165*x + 482*x as y + n*x and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163441?\nAnswer: 137, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 39*g + 3888 = -29*g + 50*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1201, -41305 in decreasing order.\nAnswer: 3, -1, -1201, -41305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 17 + 32 - 2*n + 28 - 2*n**2 - 8. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -883, -881, -877, -871?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9637 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(27))\/((sqrt(9) - (sqrt(9) - sqrt(9)*-2))*3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948 by -6.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336865 divided by -2.\nAnswer: 336865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 22476\/(-8))*-3840 - 0. What is v rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-27))\/((-2)\/(-12)). Let o(j) be the third derivative of -j**4\/8 + 2*j**3\/3 - j**2. List the prime factors of o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*j = 253*j - 5*o - 45, -5*o - 55 = 3*j. Which is the closest to -13? (a) 2\/141 (b) 2\/15 (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 267 + 2\/(-1). Suppose 4*o = 3*i + 2*i - m, -4*i = 8. Let z = o - -100. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t = 3. Suppose 25 = 3*i - d, -d = -5*i - 6*d + 35. Let v be (-1)\/i - 27\/(-88). Sort 0.3, t, v in descending order.\nAnswer: 0.3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -6*c - 6*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 530661602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 - 101*k**3\/6 + 193*k**2\/6 - 119*k\/6 + 3.\nAnswer: (k - 9)*(k - 1)**2*(9*k - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/285 (b) 0.38 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f**2 - 23*f - 5. Let w(b) = -30*b**2 - 70*b - 14. Calculate -8*t(u) + 3*w(u).\nAnswer: -2*u**2 - 26*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788, -468, 66, 814?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 14*t - t**2 + 4*t + 12*t**2 - t.\nAnswer: 11*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 2*j**2 - 3*j - 6. Let s(d) = -6*d**3 + 2*d**2 - 4*d - 7. Give -5*a(u) + 4*s(u).\nAnswer: u**3 - 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 308*n**2 + 6*n - 26. List the prime factors of c(3).\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 18*c + 75. Calculate r(23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2965 and 595045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -24. Let y be 1 - (b + (-84)\/(-20)). What is the third biggest value in 1, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2034*l + 379*l + 1911*l to d + q*l and give q.\nAnswer: 4324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -0.2. Let q = l + -0.2. Let d = -8 + 11. Which is the closest to -1\/2? (a) d (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 962650 - 13317*b - 962650 to the form t + d*b and give d.\nAnswer: -13317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2124 and 1566.\nAnswer: 184788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1)*-2)**2*3.\nAnswer: -240*sqrt(2) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 455700 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 105 = -2*u - 13*k, 0 = 3*u - 5*k - 48 + 218 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 5*n - 3. Let v be 4\/8*-1*4. Let b be g(v). Is ((-19)\/1)\/(b + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2013 = -3*i - 5*f, 5*f = i - 600 - 51. Suppose -49*l = -40*l - i. What is the remainder when 146 is divided by l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23313 - -311?\nAnswer: 24124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + -74. Suppose -4*r - 3*x = -25, -j*x + 5 = -r + 3. Let h be (12\/165)\/(r\/(-30)*3). What is the nearest to 0.1 in -1\/9, h, -1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1017, -920, -821, -720, -617, -512, -405?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119430*f*o**3 - f*o - 471382*f wrt o.\nAnswer: 358290*f*o**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/8)\/(-28*(-20)\/160) + -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 620 = -520. What is m in -8*m + 382*m**2 - g*m**2 - 16 - 2*m - 4*m = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/60 + p**4\/6 - p**3\/6 - 2*p**2 - 3. Let q(j) be the second derivative of s(j). Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -27?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 11772712.\nAnswer: 129499832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a9 + -135307?\nAnswer: -135109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 711262.9um?\nAnswer: 711262900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffee when four letters picked without replacement from {l: 1, b: 1, f: 2, z: 3, e: 3, g: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 3. Let v(c) = 2*c**2 - c + 3. Let d(x) = 3*j(x) - 2*v(x). Let r(u) = u + 1. Let t(h) = d(h) - 4*r(h). Let y = -5 - -7. Give t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 335, 333, 331, 329, 327, 325?\n\"Answer: -2*m + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 19*w + 5. Does w = 10\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -4*q - 2. Let p = 0.02 + -0.04. Is q at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4450403*j**5 + 5*j**4 + 13566052*j**2 wrt j.\nAnswer: 267024180*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 1. Let f = 2.02 - 2. Let p = 2.98 + f. Which is the third biggest value? (a) 2\/9 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 11*q**2 + 23*q - 59. Let t be d(-13). Let z(u) = -10*u - 115. Calculate the remainder when z(t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g - 12*g - 13*g)*(-2 + 0 + 0 + (1 - 5 + 2)*(-2 + 0 + 4) + 4 - 2 + 0 + 1 - 2 - 2).\nAnswer: 273*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 51*p - 71. Let w(f) = -10*f**2 - 205*f + 284. Let d(h) = -9*b(h) - 2*w(h). Let z be d(23). Solve -z = -2*s - 5*i + 3, -4 = -5*s - 4*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/5 + -2)*(-60)\/18. Let v(k) = 55278*k**2 - 8. Let d be v(w). What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 8*m**2 + 12*m - 9. Suppose 0 = -5*o + r - 18 + 64, -8 = -o - r. What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 2*w + 58, 0 = 3*g + 4*w - 46. What is the tens digit of 320\/g + (-2)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(2\/75)\/(y\/y**(-8)*y**5))\/((y*y*y**(-1\/2))**(-18)*(y*y*y\/(y\/(y\/y**(-6)))*y)\/y*y**(-3)\/y*y) assuming y is positive.\nAnswer: y**(529\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.37 less than -144677?\nAnswer: -144627.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let w be c(-3). Suppose 5*k + w = 29. Solve -t - 5 = -k*b - 0*t, t = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.576 - 387.424. Let h = -384.97 - n. Let j = -0.03 + h. Which is the closest to 1\/3? (a) 4 (b) j (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.673*-0.09.\nAnswer: -0.33057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1008) - ((0 + sqrt(1008) + 0)**2 - sqrt(1008)))*-1*-1 + 3.\nAnswer: -3021 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9865024 * 4\nAnswer: 39460096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/3 + 47*i**3 - 8652*i**2 - 5365804*i\/3 - 77932624 = 0.\nAnswer: -122, -84, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 31. Let i be g(7). Solve i*y - 5*y + 8 = 0, -4*b - y + 24 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 8*t**2 - 6*t - 11. Let l be w(-8). What is the units digit of 2\/6*(l - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - 6. Suppose -3*b = 4*c - c + 6, 31 = 2*b - s*c. Let v = -56\/187 + 2\/17. What is the nearest to -0.1 in b, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 841 (base 13) to base 6\nAnswer: 10301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 4 - (-50 - -35 - (-21 + 1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/423*(-33)\/2 - (-1 + -6).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktp when four letters picked without replacement from {t: 1, p: 2, i: 1, k: 2, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 22 - (3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -m + 2, -580 = -12*w + 3*m - 691 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 3. Suppose n - 1 = -6. Let c(v) be the third derivative of v**4\/12 - 2*v**3\/3 + 16185*v**2 + 3. What is n*c(f) - 6*r(f)?\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*h + 171 - 2118, 0 = 3*n - h + 5885. Let d = n + 2926. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/4)\/(27\/(-6)))\/(3236\/(-19416))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 332430 - 31?\nAnswer: 332388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20590 - -81779. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 965 - 968. Sort s, 14\/3, -4, 1\/4 in ascending order.\nAnswer: -4, s, 1\/4, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 495509295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/4)\/(0 - 1). Suppose -c*x - x = 0. Suppose -2*r - 16 = -5*d - 4*r, x = 3*d - 4*r - 20. Solve 4 = 2*m - d*t + 16, -2*m - 3 = 5*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8854007 is divided by 1979.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -p - 21, 15*p - 18*p + 2*u - 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103133021.\nAnswer: 3, 367711007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 30*i**2 + 25*i + 11. Let f be p(29). Let w = 309 - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**3 + 3*z**2 - 3*z**2)*(3 + 3 - 4)*(-15*z - 203*z - 160*z) to m*z + u + x*z**4 + h*z**2 + t*z**3 and give x.\nAnswer: -2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 41 - 142)*(k**5 + 3*k**5 - 2*k**5) - 2*k**5 + 4*k**4 - 4*k**4.\nAnswer: -454*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*v + 82 - 137 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 15 = -g, s - 9 = -g. Suppose -2*w = -g - 0. Suppose -24 = -3*z - w. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 926, 912, 896, 878, 858, 836?\n\"Answer: -w**2 - 11*w + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 6*p + 2. Let h be d(6). Let g = h + -19. Let c = 27 - g. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106784 is divided by 106235?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -278.7 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5096475 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 11*d**2 + 11*d - 205. Determine l(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -5*v + 80. Suppose 0 = -h - 0*h + v. Suppose -h - 189 = -g + 3*i, -4*g + 5*i + 1057 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2473.8 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45567.64 years in centuries?\nAnswer: 455.6764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 112 = -2*s. Let g = s - -39. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28650763*c*i**2 - 3*c*i + 82*c + 3235*i wrt i.\nAnswer: -57301526*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:17 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/53 = -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 15 = 8*i + 8. Let h(v) = 15*v**3 + v**2 - 2*v. What is h(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25682203 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -7. Let y be (-208)\/(-30) - 4\/6. Let z = y - 33\/5. Which is the second smallest value? (a) w (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 163 + 1. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y - 2*y + y + 2*y. Let l(s) = -45*s**2 + 25*s + 25. Let i(n) = -20*n**2 + 11*n + 11. Let v(d) = 25*i(d) - 11*l(d). Give z(v(h)).\nAnswer: 65*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 + 10 + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*i + 26 = 0, -5*i - 37 = -52 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934461231 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.1 and -194.6353?\nAnswer: 186.5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1657605 and 4695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109.2 + -109. What is the closest to l in 4, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292.9 - -37.9. Let k = r - -254.9861. What is k rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17068 divided by -13.\nAnswer: -17068\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(3825\/(-20)))\/(6\/(-120)*4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18522 = 4*g + 5*o, o = -26*g + 24*g + 9258. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 3*q**2 - 4*q + 2. Let v be n(-4). Suppose -3*m + 6*m = i - 512, 0 = m + 5*i + 160. List the prime factors of ((-3)\/(-10)*-2)\/(v\/m).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 482971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*x - x + 36, 33372 = -11*x - 5*u + 33394 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2644740774 to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926454844?\nAnswer: 2, 7, 33087673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162 and 0.8.\nAnswer: 129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 611255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -558*p - 13399. Calculate s(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1891596, 3783074, 5674552, 7566030, 9457508, 11348986?\n\"Answer: 1891478*m + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5257 - 16916 = -3*w - 4*p, 5*w = -p + 36938. Let g = 11208 - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 12. Let i(m) = -22*m - 3. Let c be i(-2). Let w = c + z. Solve 3*r + 0*d = 4*d + w, 0 = 5*d + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 6, 5\/4, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8730, -8732, -8734, -8736, -8738?\nAnswer: -8740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2226779 and -32\/153.\nAnswer: 20041011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g - 7100 = -2*x + 61*g, -2*x - g = -7095. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9898 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 - 12*u**2 + 0*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + (-5 - 0)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 6*h - 1. Let q be w(-6). Let n be (1\/(-7))\/((-1)\/(-2)). Which is the third biggest value? (a) n (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 - -204. Suppose 2*i = -5*n + z, i = 5*n - 18 + 27. Let w be -6*1\/(0 + -1). Solve i = 2*d + 4*m - w, 2*m - 30 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 3*y)*((-2 + 3 + 0)*(2*y + 21*y - 7*y) + 73*y - 645 + 645).\nAnswer: -178*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n + 8. Let v(s) = 4*s - 3. Let j(t) = 3*m(t) + 8*v(t). Let k be j(-4). Let l(w) = -2*w + 3. Determine l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*d - 6*d + 9*d + 3*d + 0*d - d + (-4 + 2 + 0)*(-d + 1 - 1))*(-2 + d + 2) in the form m*d + w + v*d**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 71\/4 of a milligram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 780*o + 7829. What is d(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2. Let f(w) be the second derivative of 404*w**4\/3 + 4293*w. Determine o(f(s)).\nAnswer: 10445824*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1244 - -1243.999997467. What is w rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24036624 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16)*0*1. Suppose l = h - 4*h + 24. Suppose -2*n + 0*n + h = 0. What is the highest common divisor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3211.615 - -3204. Let a = -0.185 + k. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*n - 47 - 46 + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 74575170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1232340 divided by -690.\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 291?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g + 0 - 7*g + 4*g + 1 to the form y*g + o and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - u - 8 = 3*u, 2*d = 4*u. Suppose -i - d*i = -160. What is the highest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3256092 by -378.\nAnswer: 8614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llklpllblkblll. Give prob of picking 2 k and 1 p.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5555, 5515, 5503, 5519, 5563, 5635, 5735?\nAnswer: 5863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 + -403. Let o = -22 - 61. Let q = o - x. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/348 and -83\/1113.\nAnswer: 129108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:50 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 13. Let p = g - -8. Let l = p - -2. Which is the third biggest value? (a) 0.4 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3890.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 438 + -78. What is s rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 3 + 4 - 5. Let q be s(6). Let j = -3 - -5. Does j = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5473 - 10982 - t + 5470 + 2*t + t.\nAnswer: 2*t - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a. Let j(d) = 50*d. Give g(j(q)).\nAnswer: 350*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/12 - 7*z**3\/6 + 3*z**2 - 2*z. Is m(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41615, -41611, -41605, -41597, -41587, -41575?\n\"Answer: j**2 + j - 41617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -5)\/(4 - 2). Suppose 4*i = -17 + r, 2*f - 24 = 5*i. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-5) - 2 - 6\/15. Let x be -6*i*(-4)\/(-6). Let g(u) = -1. Let l(k) = -3*k**2 + 24*k - 52. Let s(b) = x*g(b) - l(b). Factor s(y).\nAnswer: 3*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076685 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 186477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -116 - ((-5 - 0) + -5 + 13)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20078.02 weeks in seconds?\nAnswer: 12143186496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from eeenneexnh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 g when three letters picked without replacement from peppgplpppeppl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -47 (b) 0.5 (c) -2 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + 4 - -1 - (-9 - -14))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Suppose -2*o + 26 = -f*o. Suppose 0 = -2*v - o + 21. What is the lowest common multiple of 46 and v?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o + 18. Let y(g) = 2*g - 1. Determine 2*i(a) - 14*y(a).\nAnswer: -2*a + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f + 67. Let n(w) = w**2 - 15*w + 34. Let p be n(13). Let j be o(p). Does j = -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab47 - -4?\nAnswer: 1ab4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from liiiiiiiiiiilil?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 143, 288, 481, 716, 987?\n\"Answer: -z**3 + 33*z**2 - z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7293544.\nAnswer: 2, 17, 53629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 0*n. Suppose -n*s - s - 140 = 0. Let r = 61 + s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 20.3. Let v = t - -6.8. Sort 0.4, v, 3\/2 in descending order.\nAnswer: 3\/2, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3441 and 113\/186.\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1388 is divided by 752?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*p)*(-2 + 1 - 1)*(-1 + 1 + 2*p) + 7*p - 5*p - 129*p**2 - 3*p.\nAnswer: -121*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyqyyyyyyyy. What is prob of sequence qqy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4383740 divided by -4.\nAnswer: -1095935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2325.3 - -2325.300074455. What is r rounded to six decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 5\/3*1. Let k = -0.40968 - 0.49032. Which is the nearest to -1? (a) -1\/2 (b) 0 (c) o (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)\/(h\/((h\/(h*h**18*h))\/h))*(h**(-4)*h)**22 assuming h is positive.\nAnswer: h**(-523\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**2 - 3*r - 1. What is the units digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*a + 34, -2*a - 5*n + 36 = a. Suppose 5*o = -10, -3*z + 5*o + a = -3. Solve z*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 1. Let h(x) = -x**2 - 2*x + 2. Let k(i) = h(i) + 2*q(i). Let d(b) = b. Determine d(k(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 plus -180?\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 20*u - 1. Let h be i(-2). Let b = 69 + h. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5254 and -2.\nAnswer: -5256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from -1.38.\nAnswer: -39.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {a: 1, f: 1, j: 7, n: 2, o: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5778\/17 - 4\/(-34). Let t = -340 + f. Put -3, 5, t, -9 in descending order.\nAnswer: 5, t, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*c = 9 + 2, -3*c + 32 = 4*g. Suppose 0*t - 5 = -5*t. Solve -g = -4*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5283 divided by 9\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91.348 - -100.5. Let k = -196.1 + y. What is k rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 13) to base 4.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(171) + 3*(2*sqrt(171) - sqrt(171) - sqrt(171)) + sqrt(171))\/sqrt(9) + -3).\nAnswer: -10*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (3*sqrt(76))\/sqrt(4) + (((sqrt(171) - (sqrt(171) + (1*sqrt(171) - sqrt(171)))) + sqrt(171))*2)\/(sqrt(576) - (sqrt(576) - sqrt(576)*2)))**2.\nAnswer: -25*sqrt(19)\/4 + 11939\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 25646.\nAnswer: -2\/12823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 11*d - 3*d. Calculate the highest common factor of d and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: bd58 (base 14) to base 13\nAnswer: 11c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**2 - 3*h**2 - h**2 + h**2 + 1 - 1 + (-2 + 4 + 0)*(-2*h - 2*h**2 + 2*h) - 4*h**2 + h**2 + 2*h**2 + 7*h - 506*h**2 + 4 + 256*h**2 + 245*h**2.\nAnswer: -7*h**2 + 7*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g = -76*g - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 981 = -2*q - 989 + 1986, 0 = -3*q - 6*y + 9 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.26 * 49\nAnswer: -159.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 113*n - 12434. Calculate m(110).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let s(g) = -336*g. Determine s(f(a)).\nAnswer: 336*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/19670217?\nAnswer: -2\/19670217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81090176 divided by 10136272?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 7222284?\nAnswer: 1\/3611142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12912159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -117924, -7 in decreasing order.\nAnswer: 0, -5, -7, -117924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 + -190. What is the third smallest value in -0.44, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 19 - 1. Let o be (2 - -3)*(-6)\/(-2). Calculate the highest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3\/4, 0.2, -3727, -2\/13, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5724517 is divided by 344?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 - 97*w*z**2 + 470*z**2 - 4 wrt w.\nAnswer: -6*w**2 - 97*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let a be r(-2). Let c(o) = -o**3 - 4*o**2 + 3. Let k be (-3)\/(-6) + (-9)\/2. Let v be c(k). Sort a, v, -2.\nAnswer: a, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 5*x**2 - 5*x + 2. Let t be n(4). Suppose t = -3*o + 9*o. Solve -13 + 33 = -o*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15109 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -4*l + 6*j, -j - 418 = -4*l - 416 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-54)*3 + (-1675714)\/2043. Are x and -5750\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92419412 and 2788?\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 2*k - 3. Suppose -4*z = z - 20. What is the tens digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-30))\/((7\/(-18))\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/3 (c) 2 (d) 2\/15 (e) 352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 + 20*p + 6. Let x(l) = 8*l**2 + 19*l + 6. Let s(i) = -6*x(i) + 5*y(i). Let n(r) = -3*r**2 - 5*r - 2. Determine -11*n(h) + 4*s(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 132. Let n(y) = 0*y**3 + 3*y - f*y**3 + 5*y**2 + 4*y**3 + 4*y**3. Determine n(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.5269 millilitres in litres?\nAnswer: 0.8615269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 18*b - 17*b - 81, -6*b = 5*l + 135 - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 2*q**2 + 2*q - 31 - 4*q + 8*q to the form p*q**2 + b*q + m and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 6}. What is prob of sequence bbeb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -228. Let l = f - 841\/5. What is the third smallest value in l, -1\/2, -4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342084161.\nAnswer: 313, 7482697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 311, 1066, 2537, 4964?\nAnswer: 8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43141932?\nAnswer: 2, 3, 19, 63073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) -0.3 (c) 7.75 (d) 2\/57 (e) -0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 2, -5, -9, 7, -2 in decreasing order.\nAnswer: 7, 2, -2, -5, -9, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/355680 and -35\/57.\nAnswer: 355680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 339*f - 21265. Give a(-83).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1078*j**4 - 2*j - 35.\nAnswer: 4312*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -362, -360, -358, -356, -354?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016267 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/29))\/l)\/(l*(l\/(l*l*l*l\/((l**(1\/5)\/l)\/l)))\/l))**(-32) assuming l is positive.\nAnswer: l**(-22112\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/12 - (2747\/(-246) - 11\/(-1)). Sort y, -4, 0, -19, -0.2 in ascending order.\nAnswer: -19, -4, y, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 75*y - 2561. Determine o(-28).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/171 and -125\/456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4234.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-3))*w)**(-25)*(w**1*w)\/(((w*(w**5\/w*w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21.1250432 + 2\nAnswer: 23.1250432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96)\/(sqrt(12)\/sqrt(2)))\/(2*sqrt(128) - sqrt(32)\/(sqrt(16)\/sqrt(4))).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let f = -1 + q. Put -4, -0.1, f in descending order.\nAnswer: f, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000133051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Let v = w - 8. Let f = -213 + 641\/3. What is the nearest to -3 in v, f, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 - -886. Let d(i) = 59 + 16 - 18 - 122*i - l*i. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*u - 178*u = 3*g + 6, -4*u - 3*g + 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2208115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.35 + -0.45. Let v = u - -4. Let q(g) = g**2 - 7*g + 6. Let n be q(5). Which is the biggest value? (a) 3 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -127. Solve -2*x - p*f + 8 = -0*f, -5*x - f + 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -201*a**2. Let r(w) = 2*w**2. What is r(s(y))?\nAnswer: 80802*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3392 and 65\/2544?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1379*c**3*s - 16*c**3*x**2 + 2*c**3*x + 158*c**2*s*x**2 - 2*c**2*x**2 + 2*c*s*x**2 - 357*x**2 + x wrt c.\nAnswer: 8274*s - 96*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -32. Let o be (9\/(-33))\/(1\/2). Let j = -1.59 - 0.41. Which is the biggest value? (a) o (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 0*r + 204*p = 3*r - 1020, 32*r = 30*r - 2*p - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffzzffz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35674980 by -330.\nAnswer: -108106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**2*p*x + 20*m**2*p + 5*m*p**3*x + 31*p**3 - 11*p**2*x + p**2 wrt m.\nAnswer: -16*m*p*x + 40*m*p + 5*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-420)\/25 + 2\/(-10). Suppose 5*x = 2*x + 6. Is 20 a factor of x - (w + 1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:54 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*p = -17, 0 = 4*y + 5*p + 3 + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**5\/13 - 886*z**4\/13 + 27684*z**3\/13 + 611216*z**2\/13 - 17747520*z\/13 + 11552000\/13 = 0.\nAnswer: -25, 2\/3, 20, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1761 by -587.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -18.5, 1 in descending order.\nAnswer: 202, 1, -18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*r, -7 = 3*k - r - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27111094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + 58?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 3}. Give prob of picking 2 x and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/78 and 137\/51246?\nAnswer: 51246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 57*r - 217. Calculate y(-49).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18738 = 343*z - 35770 + 11633 for z.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138438 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 1685, 3710, 6523, 10124?\nAnswer: 14513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4687817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7242953, 7242951, 7242949, 7242947, 7242945?\n\"Answer: -2*z + 7242955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 0.9 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320 (base 5) in base 8?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1102433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*h - 94*h - 105*h + 284*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 12 + 13. Let s(h) = h**3 + h**2. Suppose -f = 4*f - 15. Let u(i) = -5*i**2 + 8*i**3 + 1 - 9*i**3 - 6*i**f - 3*i. Calculate q*s(g) - u(g).\nAnswer: 2*g**3 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3160516 is divided by 653.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 21*a**2 - 19*a - 21. Let w be r(20). Is 32 a factor of (256\/w)\/(6\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = u. Let x be ((-5)\/u)\/(2\/(-12)). Let z(b) = b**2 - b - 1. Let h be z(-2). Put x, -1, h in descending order.\nAnswer: h, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*g**5 - 19585*g**4 - 4210*g**3 + 2800*g**2 = 0 for g.\nAnswer: -1\/2, 0, 2\/7, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -7*w**5 + 6*w**3 - 15. Find the third derivative of b(z) wrt z.\nAnswer: -840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -28. Suppose -4*b + g = -9. What is the remainder when 37 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Let q(v) = 16369*v**2 + 9*v. Determine q(x(a)).\nAnswer: 65476*a**4 + 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 2*b**2 - 3*b**2)*(-15 + 1 + 0) + 5*b**2 + 0*b**2 - 3*b**2 + (-3*b - b + 2*b)*(0*b + 0*b + 2*b) + 1 - b**2 - 1.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 3*c + 3, 2*c + 4*q = 8. Suppose -3*h = -6, 3*a = c*h + 3*h + 98. Calculate the highest common factor of 54 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - ((-14 - 41) + -4 - -32).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iis when three letters picked without replacement from isii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**3 - 2*y**2 + 2*y. Let z(o) = 120*o**3 + 35*o**2 - 35*o. Determine -35*x(p) - 2*z(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 + 100*a - 317. Calculate the smallest common multiple of 642 and p(16).\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 + 7*r + 12. Give x(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 324\/10 - (-2)\/(-5). Let t be -10 - ((-4 - -5) + -3). Let s = t + w. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -970 - -968. Sort 46, g, 0 in descending order.\nAnswer: 46, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 3*z**2 - 6*z**2 to the form c*z + k + u*z**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 873, -0.24, -1\/2, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 15)\/((-4)\/(-20)*-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 5, 100 in decreasing order.\nAnswer: 100, 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/233 (b) -11\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2594280 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 41*i**2 + 12 - 71*i**2 + 13 + 35*i**2 - 6*i. Differentiate b(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 584, 574?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*a**3 - 3 + 1 - 327*a**3.\nAnswer: -712*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y\/(y**2\/y)*y)))\/y**0)\/(y*y\/((((y\/y**(-1\/6))\/y)\/y)\/y)*y*y\/(y*y*y*(y*y**(-1\/3))\/y*y)))**(-28) assuming y is positive.\nAnswer: y**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626 + r + 1623 + 1612 + 12*r**2 + 1604 - 6442.\nAnswer: 12*r**2 + r + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -16*m. Let a = m - -3. Suppose -2*j + 4*v = -4*j - 8, a*j = v + 2. Solve n + j*n = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (1 - -6 - (135 - 129))) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 72. Suppose -g - y*g = 345. Let k = 85 + g. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Let l = 1 - b. Determine o, given that 0*o + 0*o**2 - 50\/7*o**5 - 40\/7*o**4 - 8\/7*o**l + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36\/690769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 1:21 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95281 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 2, m: 2, i: 7, p: 4, d: 1, e: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 1326*y + 9220. What is s(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 38\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*u - 105*u - 10840 = -94*u - 113*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605032453 to the power of 1\/2, to the nearest integer?\nAnswer: 24597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 245\/3. Let k = 0 - -0.1. Let o = 0 - -0.4. What is the nearest to s in o, k, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92885?\nAnswer: 5, 13, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.010224, 0.1, -4, -90 in decreasing order.\nAnswer: 0.1, -0.010224, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -47.2936.\nAnswer: -52.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 42*o + 8*o - 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 30119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 5, -11, -35, -67, -107, -155?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1301, -4, 1, 4 in decreasing order.\nAnswer: 1301, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -28. Let w = -25\/78 - -2\/13. Let u(t) = -t**3 + 47*t**2 - 209*t - 40. Let g be u(42). Which is the second biggest value? (a) w (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + 187. Let j = 157 + -1100\/7. What is the smallest value in y, -2, -6, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-2) + (-4)\/(-8). Let l be (-13)\/j - (-4)\/(-12). Suppose v + 3*v - 4*w - 20 = 0, 0 = -2*w. Solve -l*m + 4 = v*p, -3*m + 7*m = -3*p + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1024 - 145411\/142. Let p = 151\/426 + f. Which is the second biggest value? (a) p (b) 2 (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*n + 117, t + 49 = 2*n + 2*t. Suppose 0*v = -4*v + n. Factor 4 - 3*h**2 - h**3 - 3*h - v + 1.\nAnswer: -(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -35 - (1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.4 + 6. Let l be (-3 + -8)*1*92\/4. Let z = l + 251. What is the closest to 0.1 in z, c, 4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437 by 244.\nAnswer: -437\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 7*s**4 - 7*s**3 + 23*s**2 + 8*s - 16.\nAnswer: -(s - 1)**2*(s + 1)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.2. Let r = 13903 - 13902.9. Which is the nearest to r? (a) i (b) -2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**2 - 9*w - 9 - 4*w**2 + 4*w**2. Let k(t) = -8*t**2 + 8 + 34*t - 111*t + 57*t + 28*t. Determine 6*f(y) + 7*k(y).\nAnswer: -2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3042 and 41\/6084?\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 468, 1613, 3852, 7551?\nAnswer: 13076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4089802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75428 - -74850.97. Let x = c - -577. Is x at most as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 5*k + 2. Calculate l(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(475)*-1 + sqrt(475) + sqrt(475) - (sqrt(475) - (2 + sqrt(475) + sqrt(475) + 2)))**2.\nAnswer: 180*sqrt(19) + 1982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.6667 + 2.5737. Let h = b + 0.093. Let i = h - -15.2. Round i to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/11*h**2 + 48\/11 + 56\/11*h + 2\/11*h**3 = 0. Calculate h.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a29 - -5?\nAnswer: a2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let s(k) be the third derivative of -k**4\/12 - k**3 - 77*k**2. Calculate s(x(f)).\nAnswer: 2*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*l - 12, 0 = 2*l + 2 - 0. Let g be (75\/(-6))\/q*20. Suppose -c - 5*v - 8 = 0, -c + 4*v - 13 = -g. Is 18 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62819239*j*q**2 + 328298*q**2 - 27 with respect to j.\nAnswer: -62819239*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 4, 2021, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + q = 105. Suppose 585 = 5*m + 3*x, 9*x - q*x = 4*m - 446. Is 38 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = -86940*q + 86958*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 5*d - 32, -5*l + 12069 = -2*d + 12050 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020012 (base 3) to base 12.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 + 2395*n - 1154694 = 0.\nAnswer: 669, 1726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13855710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2*z + 2*z)*(z + 2*z - 2*z)*(-9 + 14 - 7) as g*z + b + l*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6 - 30. Suppose -13 - 10 = d - 5*i, -t = -2*d - i. Solve -d*f + 2 = 2*l - 2, 4*l + 5*f = 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13 - 4*c**2 - c**2 + 11*c + c**2 + 3*c**2. Let f be m(9). Solve -f*s = -2*v + 7, 29 = -5*v - 0*s - 3*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/11, 4, -5, 1.1, -19\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9982, 40132, 90376, 160714, 251146, 361672?\n\"Answer: 10047*x**2 + 9*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10a1e + 1?\nAnswer: 10a1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**(-1\/4))\/(m**(-2\/5)\/((m*m**(2\/3)*m)\/m)) assuming m is positive.\nAnswer: m**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phmh when four letters picked without replacement from nmnmmnnnnmhhpphnnnh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 70. Let b be c(18). Let n be -2*b\/(-4)*-1. Which is smaller: 2\/299 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 not equal to 76\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 65. Suppose -r + 2*u - u = -12, -3*r + u = -h. What is the third derivative of -2*o**2 - r*o**5 + 3*o**2 + 7*o**2 - 8*o**5 wrt o?\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/615 or -1?\nAnswer: -8\/615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 993.0805 meters?\nAnswer: 0.9930805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1776\/13*w + 2\/13*w**2 + 394272\/13.\nAnswer: 2*(w + 444)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 73*z**8\/28 + 29*z**4\/12 + 155*z. What is the third derivative of f(c) wrt c?\nAnswer: 17520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5893653.\nAnswer: 3, 53, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 659913 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5152\/5 - 1025. Calculate the common denominator of r and 53\/29.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*x - 13359, -28*i + 13380 = -27*i - 4*x. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -110667035\nAnswer: -2\/110667035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 14, -390 in descending order.\nAnswer: 14, 6, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 9}. What is prob of sequence cq?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10318*y + 5152*y + 3 - 12 + 5168*y. Calculate n(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d - 82. Let n be s(5). Solve n*o = -4 + 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23083901 to the power of 1\/2, to the nearest integer?\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.64106 and 11.\nAnswer: 10.35894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25. Factor 0 - 2\/5*i**f + 0*i + 2\/5*i**2 - 2\/5*i**5 + 2\/5*i**3.\nAnswer: -2*i**2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 - 7*m**4 + 0*m**4 + 3*m**3 - m**4 - 3*m**3 + (-2*m**3 - 2*m**3 + 6*m**3)*(5*m + m - 4*m).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/13, 0.05, 0.146 in descending order.\nAnswer: 34\/13, 0.146, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and -0.042.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106509184779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11080.81 - -11083. Which is greater: 0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -96 + (-8 - (-4 - 0)). Let a = -71 - x. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 0 - 3*q + 6*q.\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -15*b + 4. Let k(g) = g. Let t(j) = -7*j. Determine b*t(i) + 3*k(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + 20. Calculate the highest common factor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y\/y**11*y)\/y)\/y)\/(y\/(y\/(y\/((y*y**(-6))\/y)))))\/((y\/(y*y**11)*y)\/((y*y\/y**(3\/4)*y*y)\/y)) assuming y is positive.\nAnswer: y**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 42 + 18 - 5. Let j be z(11). Suppose g - 3*y = -3*g + 214, 0 = 2*g + j*y - 96. Which is smaller: 50 or g?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7360, 6913, 6464, 6013, 5560, 5105?\n\"Answer: -j**2 - 444*j + 7805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16347.1 + -0.5\nAnswer: -16347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2516 + 2583. What is the remainder when 464 is divided by y?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kkkkkekkekkkee?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**1)\/d*d)**32\/(d**(-3)\/d**(-4)) assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27346772, 27346771, 27346770?\n\"Answer: -m + 27346773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 + 5*v**2 + 29*v + 70. Determine h(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5795, 5797, 5801, 5807?\nAnswer: 5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 63*b - 295. Calculate the least common multiple of 212 and l(5).\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 111 - a**2 - 44 - 3*a.\nAnswer: -a**2 - 3*a - 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914269.\nAnswer: 3, 127, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 106 = -31*l + 50 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*z + 662, -564*z + 561*z = -q + 328. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3037 divided by -143\nAnswer: -3037\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42046\/567 - 80\/81. Let i = 75 + v. Which is the biggest value? (a) -5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 4. Let i = -3 - 2. Let z(c) = 4*c + 5. Let n(k) = 1. Let p(q) = 2*n(q) - z(q). Give i*l(y) - 6*p(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.06, 1\/11, -5, -1\/2, 2\/467?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, r: 7}. Give prob of sequence rrtr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Let h = 35 + -30. Suppose 4*k = -6*z + 2*z + 12, -h*z - 2*k + 18 = 0. Solve x*l - z*l + 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1279, -2, -117, -8 in decreasing order.\nAnswer: -2, -8, -117, -1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 take away 34.858537673?\nAnswer: 1626.141462327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*f**2 + 213*f**2 + 244*f**2 - 858*f**2 + 198*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i + 1 - 3 - i**3)*(0 - 6 - 1).\nAnswer: 21*i**3 - 14*i + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/245 - (-17)\/(-2380)*8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 961*l - l**2 + 2018*l + 1091*l to k + y*l + f*l**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -2.1. Let f = 1.6 - n. What is the third biggest value in f, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.1 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 9*d + 9 + 1. Let t be 4\/(-2)*(-14)\/4. Let z(h) = 2*h + 3. Let x(n) = -4*n - 6. Let b(c) = 3*x(c) + 5*z(c). Give t*b(i) + 2*q(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + ((-9)\/(-15))\/((-3)\/(-75)). Suppose 7 = 4*v - n. Calculate the greatest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*s + 1\/3*s**2 - 2 = 0 for s.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19612069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**2 - 16*m + 67. Determine x(7).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3695070 (base 10) to base 12\nAnswer: -12a2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10979104?\nAnswer: 2, 43, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205421778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95021.87ml to litres.\nAnswer: 95.02187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 4, w: 2}. What is prob of sequence dw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 30 = 27*h. Let m be (-8)\/h + 1\/10*2. Let j be (-4 - (2 - 6))\/m. Solve 4*g - 2 - 10 = j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -129764\nAnswer: -259528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/8 - 2705*j**4\/8 - 10831*j**3\/8 - 13543*j**2\/8 - 2709*j\/4 = 0. Calculate j.\nAnswer: -2, -1, 0, 2709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.84241 centuries in months?\nAnswer: 115010.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*t + 10 = 0, 5*h + t - 20 = 6*t. Suppose 2*g = 4*n - 10, h*n - 8 = 4*n + 2*g. Let r = n - -34. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 81 = l - 531, -4*l + 2432 = 4*n. What is the second derivative of 306*x + 5*x**3 + x**2 + 302*x - x**2 + 9*x**4 + 4 - l*x wrt x?\nAnswer: 108*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*w = -28, 5*p + 4*w + 22 - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 74 - 122 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 3. Let y(k) = 1. Suppose 4*g + 145 = 161. Determine g*y(j) - u(j).\nAnswer: 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917226 is divided by 641?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/9, -910, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004413377 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:42 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83288 or -83297?\nAnswer: -83288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4342*s - 13013. Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270846056 to the nearest integer?\nAnswer: 35649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.8. Let s be 28\/(-45) - (-6)\/27. What is the nearest to s in -1, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8218931 is divided by 588?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1292608*-0.3\nAnswer: 387782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 - 158.8. Which is the second biggest value? (a) -5 (b) l (c) 0 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.851 to one decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:48 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 497, 966, 1423, 1862, 2277, 2662, 3011?\n\"Answer: -m**3 + 476*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*i + 5 = 0, 3*q + 3*i + i = -40. Let w = 8 + q. What is the units digit of (19 + w)\/(2\/(-16)*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-38080)\/(-204))\/80)\/((-2)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25605797 or -25605793?\nAnswer: -25605793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g + 2. Let u(n) = -13*n - 3. Let y(k) = 2*u(k) + 3*v(k). Let p = -8 - -14. Let o(t) = -p*t**2 - 6*t**2 - 12*t**2. Determine o(y(f)).\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 4*j**2 + 12*j - 7*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 4*y**3\/3 - 4*y**2 + 4*y - 1. Let n be b(4). Let u = 110\/3 - n. Put u, -2\/7, 0.4 in increasing order.\nAnswer: -2\/7, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0\/2 + ((-11388)\/26)\/((-3)\/46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeww when four letters picked without replacement from {g: 1, p: 1, l: 1, e: 3, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -114534, -229208, -343882?\n\"Answer: -114674*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a09a (base 12) to base 2.\nAnswer: -11001001101011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8946022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - j + 2. Let h be m(1). Suppose h*c + 3 + 17 = 0. Let t = -145 - -144. Sort c, t, -9, 0.4 in increasing order.\nAnswer: -9, c, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 22\/8 - 2\/8. Suppose 5*y - 3*y = 0. Suppose -v + 5*w + 4 = y, 2*v = -3*v + w + 20. Solve 3*t = -2*c + 12, 0 = d*t - c - v*c - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*((2*z + 3*z - 3*z)*(-3*z**2 + z**2 + 3*z**2) - 3 - 4*z**3 + 3).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 360 = 4*f. Let z be 1480\/f - (-4)\/18. Let w = -56.8 - -56.4. Put 5, z, w in increasing order.\nAnswer: z, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30658*f**3 - 5*f + 143 wrt f.\nAnswer: -183948*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.02 (b) -2\/7 (c) 0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 39800000. Round i to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/4 + 85*a**4\/12 - 55*a**3\/6 - 1436*a**2. Let k(t) = 0. What is t?\nAnswer: 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 24. Suppose -5*f - 18 + u = 0. Which is the smallest value? (a) 0.2 (b) -4 (c) -5\/4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 750*p**3 - 46119*p**2 + 94500*p - 47628 = 0 for p.\nAnswer: -126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4938168 hours to milliseconds.\nAnswer: 1777740.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7c?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -389.2*51945\nAnswer: -20216994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 4*g + 15. Let r be l(6). Let d be (18\/r)\/(1\/(-10)). Put 5, d, -1 in ascending order.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swx when three letters picked without replacement from wsx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*k - 245 = 686, 2*h + 925 = 3*k. Is -463 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-140))\/((-51)\/(-15) - 2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -928 * 57658\nAnswer: -53506624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 154. Suppose -47 = 5*m - z. Solve m*y + 0 = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 15. Calculate the common denominator of 35\/22 and -1 - ((-2997)\/l)\/(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -134, -201, -266, -329?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 4, 1, -2, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27095122 - 75.\nAnswer: 27095047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 12 + 8. Determine z, given that -2*z**5 + 2*z**4 - 4*z**5 + 3*z**5 + 4*z**v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0.1, 1\/227859, -2\/7, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.8 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2626 + -20?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(13) - 1*sqrt(468))**2 + sqrt(13)) - 2*(sqrt(13) - (-5 + sqrt(13) + 1)**2))*-1.\nAnswer: 20*sqrt(13) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6401 - 3810. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17100 and 740?\nAnswer: 632700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79980 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.029033?\nAnswer: -0.029033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12079 (base 10) to base 16\nAnswer: -2f2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.065 - -11.117. Round c to one dp.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*o**2 - 11 + 11 + 232*o**2 - 36672952*o + 36672952*o.\nAnswer: 490*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436000 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1691800823 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203304 (base 9) to base 10.\nAnswer: 120532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -16*s + 0*s**3 + 1\/4*s**4 + 4 + 0*s**2. Let x(q) be the first derivative of v(q). Let w(a) = -4*a. Calculate x(w(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 159\/106555?\nAnswer: 159\/106555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 38. Let f(c) be the second derivative of -1\/3*c**3 - 3*c + 0*c**2 - 8. Determine f(s(w)).\nAnswer: -4*w + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) -0.05 (d) 3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571281045?\nAnswer: 5, 29, 10836421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -592, -597, -612, -643, -696, -777, -892?\n\"Answer: -p**3 + p**2 - p - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.2 (c) -3 (d) 12 (e) 4791\/7 (f) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*x**2 - x**3 + 216*x**2 + 206*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1.813.\nAnswer: -13.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*r + 31*r - 91*r**2)*(0*r - 11*r - 3*r).\nAnswer: 1274*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 114, 435, 976, 1743, 2742?\n\"Answer: a**3 + 104*a**2 + 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2.2. What is the smallest value in h, -3, 3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 275 + 88 = 67*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36461, -72929, -109407, -145901, -182417, -218961, -255539?\n\"Answer: -r**3 + r**2 - 36464*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 9*d + 9. Let f = -64 + 58. Calculate m(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3545 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 31, 18, 5, -8?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/6)\/((-1)\/2). Let i be (-1 - 0) + 14\/18. Let h = -0.11 + 3.11. Put q, i, h in ascending order.\nAnswer: q, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10126 - -10393. Calculate the remainder when s is divided by 139.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 + 7)*(0 + 0 - u)*(2 - 3 + 0) - 2*u + u - u to the form p*u + t and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 38 + 60 - 2*x)*(-4 + 6 - x**3 + 5 + (2*x**2 - x + x)*(4*x + 2*x - 3*x)) to the form s*x + t + j*x**2 + r*x**4 + v*x**3 and give t.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 790712 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101111212 (base 3) to base 7\nAnswer: 31226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*p = -0*z + 2044, z - 2*p - 404 = 0. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 165869*c - 1824420. Calculate f(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*k - 15513 + 1100 = -414*k + 18347 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40760 divided by -2038.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 - -100?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 4. Let p be k(7). Suppose -1 = -4*j + p. Let y be (9\/(-12))\/((-1)\/2). Is j != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5 - (-6 - 1)) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 68\/57973 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1132 * -390.5\nAnswer: 442046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-15))\/((-114)\/(-108) + -1). Let t be (-12)\/15*-22*10. What is the highest common divisor of n and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Suppose -p + h*c = -3*p + 24, -c + 32 = 2*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*n - 704 = 2836. What is the lowest common multiple of n and 2436?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-1 - -3 - 61).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 7, 3*l - 5 = -5*z. Let y = z - -12. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(243))\/sqrt(9) - sqrt(432)*3) + 2*(sqrt(243) + -1) + 4)**2.\nAnswer: -60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 164*r**3 + 148*r**3 - 11*r - 4*r**2 to o*r + i*r**3 + j*r**2 + u and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:23 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4367229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s\/(s*s**1)))\/s)\/s*s)\/s)\/(s\/(s*s*s*s*s\/s**(3\/4)*s))*(s*s\/s**7*s)\/s**4*s*s**(-2\/9)\/s*s**8*s*s**(1\/5)*(s*s**(-1\/5)\/s)\/s assuming s is positive.\nAnswer: s**(181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 9 = -l, -7 - 10 = -5*l + o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:14 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/3 + 51*g**2\/2 - 1165*g. Give y(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 13, -4.\nAnswer: -4, 13, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138783*m**2*n**2 + 1083*m**2*n + m**2 - m*n**2 + 4*m*n - 8*m wrt n?\nAnswer: 277566*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86898?\nAnswer: 2, 3, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -424 + 1?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44556, -89122, -133692, -178266, -222844, -267426, -312012?\n\"Answer: -2*c**2 - 44560*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 8) to base 4.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618 and 63138279.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f = 22*f + 6118. Calculate the highest common divisor of f and 3703.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13. Let w(n) be the first derivative of 1\/4*n**4 + n + 1\/3*n**3 + 0*n**2 - z. Determine w(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/116 and -107\/986.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/147*((-2)\/10)\/(-1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqdd when four letters picked without replacement from {d: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*o + 8, 4*o + 31 = 22*g - 19*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 14. Suppose -m - 192 = -12*q. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 4, 5*o = x + 17. Suppose -m = o*m. Let t = 1 - m. What is the remainder when 1 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 4, -44, 1, -10, -118 in descending order.\nAnswer: 10, 5, 4, 1, -10, -44, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000244839224 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k = 73*k. Suppose 18 = 3*m + 5*y, k*y - 3*y - 53 = -4*m. Calculate the highest common factor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1546, -1, 4, -379 in descending order.\nAnswer: 1546, 4, -1, -15, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 546\/468 + 46\/(-60). Let n(h) be the first derivative of 1\/15*h**3 - 1 - b*h + 1\/10*h**2. Factor n(j).\nAnswer: (j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-28) - (-30)\/20. What is the closest to -0.1 in -5, -2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h + 26 + 13*h + 12*h)*(-h + 3*h**2 + h)*(-4*h**2 + 0*h**2 + 3*h**2).\nAnswer: 6*h**5 - 78*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/355 and -99\/21170?\nAnswer: 1503070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1646 divide 1827060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1506.5 * -1407.\nAnswer: 2119645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2. Let t(h) = 31*h**2. Calculate t(f(g)).\nAnswer: 496*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/108 and 121\/948.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.446019 weeks in hours?\nAnswer: 242.931192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let r(z) = z**2 - 10. Let j be r(i). What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 = -g - 0*z, 4*g + 3*z = 15. Differentiate 1 - 6 - 7 + 2*a - g wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 - 1. Let j be t(-1). Let u = -249\/1028 - 2\/257. Is u greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -276*h - 2642 - 4827 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*h**3*w**2 - 98*h**3*w wrt w?\nAnswer: 330*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.4, 4\/3, 2061?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 4. Let v(x) = x. Let r(b) = 4*v(b) + y(b). Determine r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 + 6*p - 15. Let s be g(5). Suppose 0 = 3*a + 4*c - 0*c - 32, 0 = -5*a + c + s. Solve 7*f - 2*f + 5*i = 0, 0 = a*f + i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 266, 306, 360, 434, 534?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + p = 11 + 14, 3*x = -3*p - 15. Let i(k) = -3*k - 11. Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49574 + 49524.9955. Let w = -17 + 66. Let l = i + w. Round l to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/18 + (-40)\/12 + 4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 164, 13 in ascending order.\nAnswer: 7, 13, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 23*q**2 - 3*q + 2. Let i be f(2). Let l be i\/(-9) - 28\/126. Let n be (l - -14)*2\/4. Solve -2*b + 27 = n*u + 3*u, 4*u - 18 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 8*k + 14. Let h be u(-9). Let s(r) = -20*r + 1 + 4*r - h*r. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 252, -3, 2, -2, 3, 27 in descending order.\nAnswer: 252, 101, 27, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-801)\/(-8544))\/(9\/30)*6?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105\/2 + -53. Let d(p) = -p**3 + 6*p**2 + p - 6. Suppose 5*o + 45 = 4*f - 4, -25 = 5*o. Let b be d(f). Is u less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020052717 rounded to 5 dps?\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 times 23430\nAnswer: 110121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 (base 7) in base 4?\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 26 + 2. Let i(y) = 8*y**3 - 2 + 6 - q - y + y**2. Let s be i(1). Calculate the highest common divisor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 25 - 15) + (-9 - -5 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*(-98)\/(-56) - (-2 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 6 = -3*r. Let n = 39 + r. What is the remainder when 49 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmj when four letters picked without replacement from {k: 1, m: 4, j: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85.1 + 81. Let t = l - -4. Put 2, -4, t in increasing order.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 2*r - 21, 5*q + 57 = 4*r. Put 4, 0, r, 1 in ascending order.\nAnswer: 0, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48496 + 2230985\/46. Which is greater: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by -1 + -1 + 1 - -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5\/20 - 2*x**4\/3 + 17*x**3\/6 + 101*x**2\/2 + 131*x. What are the prime factors of i(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 2. What is the third biggest value in c, -1, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1968 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-5)\/(2*sqrt(14)\/sqrt(2))*-1 + -1 + ((sqrt(192)\/sqrt(3))\/(sqrt(256)\/sqrt(2)))**2.\nAnswer: -1\/2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:41 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/20 + 3)\/((-59)\/(-37760)*-30)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) 3 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23036800 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -266 (base 7) to base 11\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 118. Suppose -a - 2*a = -r. Calculate the highest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -659, -2, -4, -0.1.\nAnswer: -659, -4, -2, -0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 13*p**3 + p**3)*((0 + 2*p + 0)*(0 - 3 - 1) + 0*p + 2*p + p).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1499 - 1616 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-9))\/(2 - 3070\/1590) and 50\/539?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 17\/2 (c) 10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4451*m - 2. Let u(w) = 19*w. Give u(x(t)).\nAnswer: 84569*t - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161649?\nAnswer: 3, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnaaallojoaaana. Give prob of sequence cjn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1889265.\nAnswer: 3\/629755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3411\/1137)\/(3\/13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:35 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 24536031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Let m = v + -2. Let b(h) = -m*h - 3 + 3 + h. Let x(l) = -l**2. What is x(b(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 34731366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 6*g - 4. Let q be k(-5). Let p be 80\/q*(-6)\/4. Suppose -p*s = -3*s - 6. Solve 4*y - 2*a = -s - 3, 4*y = -a - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15010.956 + 15011. Let g = 0 - -2. Is g bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1618 - -2823. Suppose 2*s + 5*h = g, -24*s + 3*h + 1755 = -21*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*j + 52*j + 3114. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0*i**2 - i - 2\/3*i**3 - 5\/12*i**4 + 0. Let w(r) = 6*r**2 + 5*r. Let g be 1\/2*(-3 - -15). Give g*w(h) + 7*t(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y. Let t(r) = -4*r**2 + r + 18*r**2 - 2*r**2 - 85 + 85. Give d(t(n)).\nAnswer: -96*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -37\/21763962?\nAnswer: 87055848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821963 less than 10.6043252?\nAnswer: -3821952.3956748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-75))\/((1085\/434)\/(2\/(54\/75)))?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5600)*1 - sqrt(5600))\/((sqrt(80) - sqrt(80)*-1)\/sqrt(10)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.93679 + 0.93629. Let u = 21.044 - 0.044. Let m = u + w. Round m to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 13*h + 9. Let b be z(-12). Let g be (-301)\/(-4) + b\/(-4). Suppose -4*p + 56 = -20. What is the greatest common factor of g and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18088 is divided by 203?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.03 - -4. Let k = y + 0.030075. What is k rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*q + 5 + 153*q - 27*q**3 - 83*q as r*q + k*q**2 + c*q**3 + w and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let w be ((-296)\/(-36) - 2\/9) + -6. Let h(g) be the first derivative of 0*g + 10 - 19\/2*g**w. Give t(h(r)).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1704, -4290, -6876, -9462?\n\"Answer: -2586*d + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 12 = -4*y. Let z(v) = -47*v + 39*v + y - 3. Is z(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97\/270 + 7\/27. Let l = 0.275 - -1.725. Which is the nearest to -0.1? (a) 0 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(12\/171466)*(797 + -794) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*h - h + 16, -3*o - 16 = -4*h. Suppose o + 6 = 6*u. Which is greater: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*g = p + 32, 2*g = -4*p + 56. Suppose 2 = -2*m + p. Suppose -4*i - 83 = -5*n + 57, m*n + 3*i = 105. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 9*h**9\/8 - 3*h**5\/10 - 11*h**4\/8 - 264*h**2. Find the third derivative of p(f) wrt f.\nAnswer: 68040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6653*c**4 - 7*c**3 - 4226*c + 7. Let s(n) = n**4 + n**3 - 7*n - 1. Let f(z) = 7*s(z) + v(z). What is the second derivative of f(k) wrt k?\nAnswer: -79752*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -10. Suppose -g = -4*o + 2. What is the highest common factor of o and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + t + 1. Let c(h) be the third derivative of h**6\/60 - h**5\/20 + 5*h**4\/24 + 7*h**3\/6 + 6*h**2. What is c(w) - 5*k(w)?\nAnswer: 2*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 1. Let z be i(5). Suppose 0 = -2*d - 7 + z. Let j = 0 + d. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 3. Let r be 0 + -2 + (3 - 3) + 50. What is the units digit of r\/27 + (-2)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3\/4 - 30*o**2 - 609*o\/4 + 22707\/2 = 0.\nAnswer: -18, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/(-12))\/(-12*(-1)\/(-9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000371540493 rounded to 7 decimal places?\nAnswer: 0.0003715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 6*g**5 + 4744*g**4 + 87022*g**3 + 431100*g**2 + 250128*g = 0.\nAnswer: -772, -9, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001375 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1275\/11 - -116. What is the third biggest value in -2\/3, 7, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 64*z + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39786769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.52 - -17.9. Let y = q - -1.62. What is the nearest to y in -2\/11, -2\/45, -3?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aua when three letters picked without replacement from {u: 2, j: 2, v: 1, m: 1, a: 3, f: 9}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36\/84 - (9 - (-288)\/(-112))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11211539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2420)\/(-198) + (-14)\/63. Solve -4*r + 247*x - 14 = 246*x, -2*r + 3*x = b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/136)\/((-4)\/6))\/(12\/(-1))?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 2:39 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1051465270 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4)*t*t**(1\/6)\/t*(((t\/(t*t\/t**0*t))\/t)\/t)\/(t\/t**4))**29)**(-1\/5) assuming t is positive.\nAnswer: t**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 784, 1570, 2356?\n\"Answer: 786*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -1.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 178236?\nAnswer: 5881788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48040, -52759, -60632, -71665, -85864, -103235?\n\"Answer: -m**3 - 1571*m**2 + m - 46469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41324570 or -41324565?\nAnswer: -41324565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.38 - 0.99. Let b = t - 0.39. What is the third biggest value in b, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -63, -58, -51?\n\"Answer: y**2 - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6511.533 months to years.\nAnswer: 542.62775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 265 - 265 - 5*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391840 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183 and 57706?\nAnswer: 173118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzomonzzzzz. Give prob of sequence onzn.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832631 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 + 34*k**2 - 114*k + 4. What is h(3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146a42 (base 11) in base 13?\nAnswer: 80225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405 (base 8) to base 5.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 8*h - 5*h**2 + 2*h + 3*h**2 - 6 - 5*h**3.\nAnswer: -2*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4246, 4183, 4070, 3901, 3670, 3371, 2998?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 128984170*f + 831845805529445 = 0.\nAnswer: 12898417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7064*m**3 + 8724.\nAnswer: 21192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 3023 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 190.\nAnswer: -63\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9805614 and 546?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1218 and 65\/906.\nAnswer: 183918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/5 - 4\/5*l**4 + 84\/5*l**2 - 92\/5*l - 4*l**3.\nAnswer: -4*(l - 1)**3*(l + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 - 20*i**2 - 10*i. Let j(w) = -w**3 + w. Let u(b) = -a(b) - 10*j(b). Factor u(f).\nAnswer: 5*f**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 2. Let t(q) = 3*q - 4. Let v = -236 - -238. Let r(s) = v*j(s) - t(s). Let u(y) = 2*y - 59. Calculate r(u(l)).\nAnswer: -2*l + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 616 and 4312?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - x = -6, 69*f = 68*f - x - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:20 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22*(-10)\/(-150) + 2\/(-3). What is the closest to -2\/5 in -16, -1\/7, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27249751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -5*x, -26 = -2*x - x - 5*h. Suppose -x*r = -2246221 - 753779. What is r rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*12\/9. Sort p, 9, -5, 3.\nAnswer: -5, p, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 80 = 33*v. Calculate the smallest common multiple of 218 and v.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.1 and -0.468?\nAnswer: 10.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/297)\/(((-6)\/5)\/(15\/(-25))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8491?\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.24554 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2b5026?\nAnswer: -2b5027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91028727 divided by -10114303?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 2, -9.\nAnswer: -9, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 20. Let d be (-75)\/10*q\/10. Let y be ((-6)\/(-8))\/(1\/108). Calculate the greatest common factor of y and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.095 (c) 1\/3 (d) -3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 21 + (8 - 12) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -395 - 0?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 9:02 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -q - 4*l - 36, -4*l - 16 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z**3 - 13*z. Let b(l) be the third derivative of l**6\/24 + l**4\/6 - 2*l**2 - 439. Give 7*b(m) + 2*f(m).\nAnswer: 5*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2119 and 815489.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35164 - 62?\nAnswer: -35246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 21 = 2*f. Suppose -5*z + 3*a + 5 = 0, 4*z - z + 5*a - 3 = 0. Which is greater: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 54 = -2*i + 6, -4*q + 4*i = 96. Let r be q\/9*12\/(-8). Solve 2*h = -r*n + 28, 0*h - 5*n = 5*h - 45 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110111110110 (base 2) to base 3\nAnswer: 1000101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 1 - 1854\/(-18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193540.\nAnswer: 2, 5, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o + 5, -5*o - 26 = -4*n. Suppose 3*s - 38 + 7 = -n*y, -2 = -2*y. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 25 = -5*n, -2*r - 22900*n = -22904*n - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 7*y + 3. Let k be z(-6). Let d = 38.6 + -39. Which is the nearest to 0? (a) d (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/3 - 15*c**2 - 218*c\/3 + 208 = 0. Calculate c.\nAnswer: -39, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7395 = 3*x, 89 = -5*x + 99. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4134, -16540, -37220, -66174?\n\"Answer: -4137*v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382207 and 1169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3355422 and 4848.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10084 divided by -4\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201\/112, -2\/19, -5, 0.3, 0.06 in decreasing order.\nAnswer: 201\/112, 0.3, 0.06, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530585 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(24))\/(6*sqrt(16)\/sqrt(4) + sqrt(4)).\nAnswer: sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17506\/5 - 3501. Let t(f) be the second derivative of s*f**5 - 2\/15*f**6 - 10*f + 0*f**2 + 0 + 0*f**4 + 0*f**3. Factor t(g).\nAnswer: -4*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -80. Let b(q) = -3*q**2 - 4*q - 2. Calculate b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 + 2 = 0. Let j(c) = -c**2 + 4*c + 21. Let i be j(7). Solve -4*w - a + 9 = i, 17 = -5*b - 4*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9847 is divided by 1638?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (0 + 1)*(-2)\/6 - (-3661)\/1569 and 1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.2, 3, 1\/54 in decreasing order.\nAnswer: 3, 0.2, 2\/17, 1\/54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.966 - -27. Let c = -0.966 - g. What is the nearest to 0 in -25, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**3 - 2*a**2 - a. Let j(s) = 15*s**3 - 11*s**2 - 5*s. Let x(f) = -3*f**3 + 2*f**2 + f. Let q(k) = j(k) + 6*x(k). Determine -5*q(l) - 3*v(l).\nAnswer: -3*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b978a (base 13) in base 4?\nAnswer: 10013021003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {e: 7, x: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.4, -796?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -0.04, -1, -0.43, 29?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 22452 + -1 + 2 - (313 + -310)?\nAnswer: 3, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*w - 4 = 0, 40*h + 4 = 38*h + 2*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 22608170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let r = 2.2 - 2.1. Which is the closest to r? (a) j (b) -3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 5*b - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 119*p**2 - 60937*p + 65404. What is u(511)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/75 (c) 1\/5 (d) 4 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2257\/7 - 323. Let y = -1.1 - -0.3. Let f = y - -1. What is the smallest value in 6, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -603 + 603.2. Which is the nearest to 2\/9? (a) s (b) 8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 11:19 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 28 + 12. Solve -4*w + o = 4*t, -3*w - 2*w + 7 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 913. Let c(t) = -t**2 + 1132*t - 2260*t + 1128*t. Give c(y(l)).\nAnswer: -l**2 - 1826*l - 833569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 2, s: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -128. Is 39 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79155*g + 79155*g + 139*g**2 + (8*g - 2*g + 6*g)*(3*g + 0*g - 4*g).\nAnswer: 127*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 times -28411810\nAnswer: 625059.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 + -227?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/263, 3\/4, 0.1, 5?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2 - (17 + (-1 - 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -26*d + 134. What is the highest common divisor of d and 596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - 9*s**3\/2 + 2*s**2 - 3*s. Let r be b(-27). What are the prime factors of (-2)\/(-1) + 100 + r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1392108 divided by 4\nAnswer: -348027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 = 982771*l - 982767*l - 12*i, l = -5*i + 307 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 - 4*q**2 - 4*q. Calculate the least common multiple of 4 and g(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/10)\/(54\/(-180)). Let m = j + -28. Let v be -2 - (3\/(-9) + -2). Put v, m, 1 in ascending order.\nAnswer: m, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwuwuuufwffwfwufwwu. What is prob of picking 4 f?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 o when four letters picked without replacement from wwowocwoowoowoooo.\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 6*r**2 + 5*r - 14. Calculate i(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p + 5*n - 3, 5*p + 10 = 3*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 1560\nAnswer: -19\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*u + 3*u + 60 = 0, 3*u + 12 = 0. Let g = -19540 + 19552. What is the remainder when d is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((-46539)\/(-165472)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286872653.\nAnswer: 887, 323419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w - 2*w)*(1 - 1 - 3*w)*(-w + 0 + 2 + 0) in the form t + o*w + l*w**2 + s*w**3 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i**2 - 58*i**2 - 59*i**2 - 48*i**2 - 42*i**2 + 275*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2470 + 1125?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 53, 35, -33, -163, -367, -657, -1045?\n\"Answer: -2*x**3 - 7*x**2 + 55*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17504 divided by 2188?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*n - 17257 = 29355 - 15202 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1 (c) 67\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 3. Let t(c) = c. Determine -2*t(r) + x(r).\nAnswer: 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-2)\/(-2) + -20 + 2). Let p(x) = -20*x**2 + 32*x + 20. Let c(r) = 6*r**2 - 11*r - 7. Let y(l) = z*c(l) + 5*p(l). Factor y(n).\nAnswer: -4*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {a: 2, n: 2, f: 1, w: 1, j: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let u = h + -2. Sort u, 1, 4 in decreasing order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsp when three letters picked without replacement from {q: 5, f: 3, p: 2, s: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:07 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1047 and 136075449.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7 - 14*w + 15*w + 7. Let h(j) = -6*j. Determine h(l(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -135*b**2 + 2 + 134*b**2 - 1. Let k(g) = -8*g**2 - 2*g + 4. Give -k(m) + 6*w(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/5 - -5)*5. Suppose 25 = 3*r + 4*o, -3*o - m = -2*r - 7. Let b = -0.3 + 0.2. What is the smallest value in b, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 - 654*a - 35643 = 0.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 127, 137, 163, 205, 263, 337?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747115*d*l + 375162*l wrt d.\nAnswer: 747115*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -551, -648, -747, -848, -951, -1056?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 - -359. Let m = 1265\/7 - t. Which is the fourth smallest value? (a) 3 (b) 4 (c) 6 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 7*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -3*l**4\/8 + 5*l**3\/6 - l**2. Let j(b) = 5*b - 3. Give 7*j(n) + 4*w(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146 and -35.\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqyy when four letters picked without replacement from {e: 3, q: 3, y: 12}?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -9*d**4\/4 + d**3\/3 + 3. Calculate the remainder when (-75)\/(-4) + (-2)\/(-8) is divided by m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 169. Suppose r - b = -2*f, -7*f + 25 = -2*f - 5*r. Solve 8*j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 2) - (22 + 8 - 27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 5:49 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 634688876 at least as big as 634688878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 21 - 21)*(2 - 2 + 2*c) - 4*c + c + c as h*c + j and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 110*q\/3.\nAnswer: -q*(q + 110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*a + 11*a - 6*a**2 + 9*a**2.\nAnswer: 3*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 103. Suppose -2 = 4*g + 5*w, -11 - 3 = -2*g + 5*w. Suppose b = -g*i - 41 + 99. Calculate the remainder when i is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*z - 46*z + 38*z - 6525 = 0 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 + 0 - 1 + 29*k - 2. Does 15 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Let h be r(0). Suppose -3*w - 4 = -h*w, i + 5*w = -14. Let s(x) = 3*x - 10. Calculate the lowest common multiple of i and s(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331761 times -111\nAnswer: -36825471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 162917570 to the nearest one million.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, w: 1, b: 2, a: 2}. Give prob of sequence wcy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 1, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/13 and -43\/182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i - 5*i**3 - 25*i**3 + 25*i - 12*i**3 wrt i?\nAnswer: -252*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*t + 1, -22*t + 24*t = -4*p + 14. Let i = 7 - 1. Let w(d) = -d**2 + 8*d - 7. Let s be w(i). Solve -p*x + 3*x = -s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -5 + -14 + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -5*l - 226, -l - 3*y = 43. Let a = 51 + l. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:01 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390.4*-34.\nAnswer: 13273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 6) in base 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*v**2 - 31*v**2 + 6*v**2 - v + 1 to a*v**2 + g + m*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29944 and 60160?\nAnswer: 225178880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 3*p**2 - 275749*p**3 + 137867*p**3 + 137907*p**3 + 3 as l*p**2 + j*p**3 + d*p + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:41 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2361*f**3*r**2*t**3 + f**3*r*t**2 - 2*f**3*r*t - 64*f**2*r*t**2 + 4*f*r**3 - 17*f*t**3 wrt r?\nAnswer: -4722*f**3*t**3 + 24*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 183?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y - 199. Calculate n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40400 - -174139. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 - 518. Let d = u - -129. Let q = 99 + d. Sort 4, 2, 2\/11, q in decreasing order.\nAnswer: 4, 2, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 3 + 3 - 14*w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33*60\/(-440))\/((-6)\/20*-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0*g - g + 0*g)*((3 - 4 - 7)*(-3*g - 9*g + 0*g) + 2 - 2*g - 7*g + 8*g).\nAnswer: 95*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 7*z - 6. Let q be 20*2*(-3)\/(-6). Suppose -16*g = -18*g + 8. Suppose n - q = 5*k + 5*n, -g*k = -3*n + 16. Calculate b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/11976 and -41\/2994.\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2465026, -2465018, -2465010?\n\"Answer: 8*s - 2465034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-55*((-5)\/10)\/((-65)\/(-78))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5163*q**2 - 2102*q**2 - 1783*q**2 - 1725*q**2.\nAnswer: -447*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11251 (base 8) in base 5?\nAnswer: -123102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -60. What is the remainder when t is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1 + 2 + -2). Determine w, given that -1 - 14*w - 4 + 6*w**b - 16*w**2 + 1 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f - 8. Let a be k(-4). Solve -2*u = -0*u - a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 21, -3, 0.0393, 0 in increasing order.\nAnswer: -13, -3, 0, 0.0393, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 32 = -3*g, -2*g - 3597672 = -18*s - 3597902 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w + 6 = 0. Let u be (15\/(-2))\/((-3)\/6). Suppose 3*o - 167 = -l, -w*o - u = 2*l - 129. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*((-4)\/65)\/((-28)\/(-70)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25216453*d**4 + d**3 + 64242362*d**2 wrt d?\nAnswer: -605194872*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1272 + -353. What is the third derivative of -246*b**4 + 921*b**2 - 4*b - 4*b - n*b**2 + 7*b - 43*b wrt b?\nAnswer: -5904*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67683 and -3.82.\nAnswer: -258549.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1954*g - 1957*g + 3386*g)*(3*g + 0*g - g) + g - g + g**2 + (0 + g + 0)*(4 - 4 - 2*g) - g**2 + 4*g - 4*g.\nAnswer: -1052*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63886 and -0.055.\nAnswer: -3513.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 51*t**2 + 94*t + 188. Give g(49).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964145815.\nAnswer: 5, 53, 7411871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/9 - 6962*d**4\/9 - 774*d**3 + 6962*d**2\/9 + 6964*d\/9 = 0 for d.\nAnswer: -1, 0, 1, 3482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbmmottftmw. Give prob of sequence wf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 + 51 - 70*x)*(-1 + 5 - 3)*(12 - 6 + 5) to z*x + f and give z.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:26 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155861227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:55 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -44 + 26 - 75 + 4067*q - 4063*q. Determine o(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(0 + (-1)\/(-4)). Sort -3\/5, l, -0.4 in descending order.\nAnswer: l, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87.0145591 and 143.9.\nAnswer: 56.8854409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 51*r + 5. Let w = 13 - 18. Let c be v(w). Let h = -1287\/5 - c. Find the common denominator of h and 27\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -2*y**2 - 5*y. Let q(z) = 1. Let o(v) = -p(v) - 5*q(v). Let x(s) = 4*s - 6. Let n(b) = 3*o(b) - x(b). What is n(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Suppose 0 = 4*u + 5*f - 2*f - 17, 0 = 2*u - 2*f - 12. Let t(s) = u*s**2 + 4*s**2 - 3*s**2 - 3*s**2. Calculate z(t(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 498?\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 (base 4) in base 16?\nAnswer: d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6449337220*j - 3224668613*j - 3224668609*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqk. What is prob of sequence qk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 12) to base 5\nAnswer: -3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -11388\/2959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524747 is divided by 571?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((47\/235)\/((-1)\/(-35)))\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18311530 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Find the second derivative of o**2 + o - o**2 + b*o**2 - 4*o wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 1 + 3*j + j)*(-146 + 29 - 26).\nAnswer: 143*j + 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/7 + 12*m**2\/7 - 10*m\/7 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-42)\/4)*(4 + -37). Let w = r + 44. Calculate the highest common divisor of w and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 32.72358cm?\nAnswer: 0.0003272358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = -6. Suppose -u = -2*w + 4. Suppose -11*c + 4*c = -21. Solve 32 = c*p + 5*a, -5*p + 9*a = w*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2719*k**2 - 43537*k + 100. Determine a(16).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**3 - 30*w**3 + 18*w**3.\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 17*q**2 - 12*q + 4. Let v be w(-5). Suppose -6*b + 2*b - 248 = 0. Let f = -20 - b. Calculate the highest common factor of v and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1834, 1784, 1734, 1684, 1634, 1584?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3347685*x**3 - 2*x - 3890417 wrt x.\nAnswer: -20086110*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(135)\/sqrt(5))\/(sqrt(36)\/(sqrt(12)\/sqrt(3))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 5.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/22 and 83\/30426.\nAnswer: 30426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 288?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28211157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9333619 is divided by 444453.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 8*j**3 - 15 + 8*j**3 - 11*j - 11*j**2. Give h(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 24. What is the smallest common multiple of g and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22464 = -24*s + 6*s. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywyl when four letters picked without replacement from wwwywlwylyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 578488579 by -1.\nAnswer: -578488579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.2 (b) 21716 (c) -2\/13 (d) -0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (2 - 6) - (-6 + -52483) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -0.383\nAnswer: 1.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (82 - 35) - 33?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 7, n: 1, k: 2}. Give prob of sequence kvk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -39. Let t be 12\/l - (-2)\/(-8). Solve x + 2*x - 9 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2 + 176*h + 855 = 0.\nAnswer: -171, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480332?\nAnswer: 2, 37, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155793 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 727411 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 - 2. Let r(l) = -l**3 + 3*l**2 - 3. Give 3*g(m) - 2*r(m).\nAnswer: -m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4081.1 - -4094.1. Put -0.64, -4, -0.3, n, 4 in ascending order.\nAnswer: -4, -0.64, -0.3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36275464.1 to the nearest one hundred thousand.\nAnswer: 36300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(300\/135))\/((-9)\/74).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose -f = o - 0*o. Is (o*1)\/(2\/(-3)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:21 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2248 + 10987. List the prime factors of g.\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 1, g: 2, y: 1, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-575)\/69 + 8 + -4 + 4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989390 rounded to the nearest 10000?\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-50960)\/4704*(-5)\/25*-2\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1614.7 + 155.7. Which is the closest to -0.1? (a) q (b) 0.4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.695327 decades to millennia.\nAnswer: 0.05695327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*x**2*z**3 + a*x**2*z - 3138*a - 6*x**2*z**2 + 139*x*z**3 + 12*x wrt a?\nAnswer: -2*x**2*z**3 + x**2*z - 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11135300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153)*2 + sqrt(153))*2)*6)\/(sqrt(144) - (sqrt(144) + sqrt(144)*2*-2 + sqrt(144) - sqrt(144)))*5.\nAnswer: 105*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v + 6*v + (-5*v + 4*v + 0*v)*(-3 + 0 + 2) - 5*v + 3*v - 2*v)*(-5 - 2 + 3)*(2 + 2*v - 2).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38912755 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = 20*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-1 + 0 - 2) - 1 - 2 + 5)*((0 + 0 + 2)*(-2 - 4 - 1) - 1 + 7 - 3 - 7 + 1 - 8)*((2 - 4 + 1)*(3*c + c - 2*c) - 3 + 3 - 2*c - c + 6*c - 3*c).\nAnswer: 400*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05609166838 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 19 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x. Let u(p) = 7*p**2. Give u(l(r)).\nAnswer: 1008*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 27 = 0. Suppose -51 = -2*a + s. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*d**3*s*u*v + 132*d**3*u + 3*d**3*v + 2*d**3 + d**2*u - 53*d*s*u*v + 5*s*u - 8*u*v wrt s.\nAnswer: 8*d**3*u*v - 53*d*u*v + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n*n**(2\/3))\/n*n*n)\/n)\/n)\/n**(-3\/2)*(n**(-6)\/n)\/(n*n\/n**1*n))**(-15) assuming n is positive.\nAnswer: n**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 428?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -1206*y + 1216*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 55*v + 23. Let b(x) = -25. What is 2*b(c) + g(c)?\nAnswer: -2*c**2 - 55*c - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1280 + 3349. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from {b: 5, l: 4, p: 4, y: 1, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 138*h**2 + 12*h - 12. Let y = 7528 - 7523. Let z(v) = 55*v**2 + 5*v - 5. Calculate y*a(n) - 12*z(n).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.5 from -21.\nAnswer: -35.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10.2. Which is the biggest value? (a) -173 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 43. Suppose 2*q - r - 365 = 0, -r + 187 = -q + u*q. Is 52 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2600*v**3 + 2338*v**2 wrt v.\nAnswer: -15600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c*c**(-6)))**(-8\/3)\/((c*c\/c**(-1))**(1\/7)*(c*(c**(1\/4)\/c*c)\/c)**(-21)) assuming c is positive.\nAnswer: c**(-2059\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.6 + -164279.\nAnswer: -164239.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4))**(2\/137)\/((v*v**24\/v)\/((v**(-3\/5)*v)\/v)))**(1\/2) assuming v is positive.\nAnswer: v**(-16881\/1370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 3*i**6\/40 + i**5\/60 - i**4\/3 - 5*i**3\/3 + 910*i**2 + i. Give o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363 - -362. Let v = 305\/36 + -33\/4. Which is the biggest value? (a) v (b) g (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-2*-6 - sqrt(50)) + 1*sqrt(2450))\/((sqrt(1440) - (3*-2*sqrt(1440) + sqrt(1440)) - sqrt(1440)) + sqrt(1440) - sqrt(1440)*2*1).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 402 = 30*m, 4*m + 255*x = 254*x - 4 - 45 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -29*x**6\/6 - 231*x**2\/2 - 306*x. Differentiate m(i) wrt i.\nAnswer: -580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8051 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 10. Suppose -3 = -4*s + m. Suppose 0 = s*l - 3*l - 6. What is the smallest common multiple of 9 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = 39*h - 957. What is the remainder when h is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 140*l - 233. Is a(13) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2413465)\/(-492) - 5\/(-4) - (-2)\/(-3) is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 4*x - x)*(1 - 1 + x)*(-7 - 3 + 0)*(-2*x**3 + 0*x**2 + 0*x**2 + (3*x - 2*x - 3*x)*(3*x + x**2 - 3*x) - 2*x**3 - x**3 + x**3 - 2 + 2 - 2*x**3).\nAnswer: -160*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/6 + 23*p**3\/6 - 25*p. Let i(f) be the second derivative of x(f). Let y(o) = -2*o**2. Determine y(i(w)).\nAnswer: -800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ca (base 13) to base 6.\nAnswer: -1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -77\/127, 3, -0.1, -13\/3, -1.71?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -1675, -2513, -3351?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -131243331 divided by 4\nAnswer: -131243331\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 12*g**2 + g - 6. Let l be y(-10). Let w(h) = -h**3 + 5*h**2 + 2*h + 7. What is the remainder when l\/(-7) - 10\/(-70) is divided by w(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + -204 + 203 + (10 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122000104 (base 5) to base 6\nAnswer: 20220350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*r**4 + 98*r wrt r.\nAnswer: 1032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157882, 157883, 157884, 157885, 157886?\n\"Answer: d + 157881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let c = y + 6. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517963 (base 11) to base 4\nAnswer: -3022232203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 + (-22)\/(-2). Let z = w + -29. Let v = z + 36. Solve -5*k = 41 - v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + 251. Calculate the remainder when d is divided by (-31 + 24)*(1 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62988 - 4138. What are the prime factors of p?\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 40 + 13 + -40 + (1 + -22 - 3)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177564984.\nAnswer: 2, 3, 59, 125399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 0. Let f = 7 - 2. Suppose 0 = 2*y + f*j - 14, -5*j = -5*y + 4*y - 8. Solve -w + y = -g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 3, y: 1, i: 1, x: 2, u: 1, t: 8}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -35, 25, -1 in descending order.\nAnswer: 25, -1, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -313590135 divided by 104530045?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/24 + w**3\/6 - 2*w**2. Suppose -3*p = 2*p - 10. Let s be n(p). Solve -r = -0*u - u + 2, 2*r - s*u = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1532080*m + 146704320400.\nAnswer: 4*(m - 191510)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(512)*1 - (sqrt(288) + -1 - (sqrt(32) - (sqrt(3200) + 0))).\nAnswer: -16*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175797.\nAnswer: 13, 31, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47560017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1d5 (base 15) to base 8\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 1516 - 29*o + 41*o**2 + 221*o**2 - 1518.\nAnswer: 262*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033 + -4?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -89*d**5 - 390*d**2 - 191 + 240*d - 92*d**5 + 184*d**5 - 717*d + 2 - 102*d**3 + 3*d**4 = 0.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 22*z**2 - 8*z + 8. Let q(v) = v**2 - 5*v - 5. Let w be q(-1). Let n be d(w). Solve 4*t = -3*h - n, 0 = -2*t - 1 - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 2*n**2 + 2*n + 1. Let b be p(-1). Let i be (2 + 0)\/(((-12)\/9)\/(-1)). What is the second smallest value in b, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000943508775 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684275822.\nAnswer: 2, 41, 3557, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/35, 0.2, -55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -3*v - 5*b + 6, 5*v - 26 = -2*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)\/m)**11*(m**(4\/11)\/m)\/m*m*m*m*m\/(m*m**(-3)*m))**26 assuming m is positive.\nAnswer: m**(-27352\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 6. Let b be r(-2). What is the derivative of -9 + 7764*u**b - 7764*u**2 + 82*u**3 wrt u?\nAnswer: 246*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - 15)*4\/(-120)*5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:40 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/524382810 and -61\/52438281?\nAnswer: 524382810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 0 + 0)*(-2*m + 0*m + 4*m) as g*m**2 + a + n*m and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 4.9. Let s = 453\/221 + -44\/17. Let n = -25\/26 + s. What is the biggest value in n, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 + 2 + y**3 + 3*y**2 + 9*y**2 - y**2 - y as r*y**3 + h*y**2 + d*y + a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -12018\nAnswer: 12017.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1574, 1202, 812, 404?\n\"Answer: -9*r**2 - 345*r + 1928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (8 - 6) - 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a4c68 (base 13) in base 8?\nAnswer: -2430235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/16 and 61\/292.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -80*0.6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -45*k + 140 + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49947 + x**4 + x - x**4 - 90*x**5 - 45820 wrt x?\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*d = -3*i - 1002*d + 19 - 4, 56*i + d = 280 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 787 by -157427.\nAnswer: -787\/157427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3996984\/517 != -7730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643 - 120 = 27*x + 74 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 7*m. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28971 and 272542?\nAnswer: 7358634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10971714 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. Let u(t) = -2*t**3 - 3*t**2 + 3*t + 10. Give -3*s(b) - u(b).\nAnswer: 2*b**3 + 3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.07 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 - 220. What is the highest common divisor of 76 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 157, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j*(j*j\/j**(-4))\/j*j\/(j\/(j**(2\/3)\/j))*j*j**(-1\/3)\/j)\/(j**(-4)\/(j\/(j\/(j*(j\/((j**6\/j*j)\/j))\/j*j))))**(-3\/23) assuming j is positive.\nAnswer: j**(83\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 5*j. Suppose -41104 = -3*o - z, 0*z + 27384 = j*o - 4*z. What is o rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38816600 rounded to the nearest 100000?\nAnswer: 38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31818899844 + 38.7?\nAnswer: -31818899805.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*m + 8 = 0, -24*m + 27*m - 13 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, -5 = -4*f - 2*i + 9. Calculate the least common multiple of 32 and (-3 + 8\/f)*-2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 80*y**3 + 5*y**2 + 69*y + 5. Let i(c) = -120*c**3 - 7*c**2 - 104*c - 7. Let a(r) = -5*i(r) - 7*z(r). What is the second derivative of a(n) wrt n?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(110\/(-6))*(621\/(-23))\/(-27).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21*(-14)\/(-40). Let r = k - 3\/5. Let y = -20 + 19. What is the third smallest value in -3, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/84 and -8\/14623.\nAnswer: 175476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 4*r**2 - 5*r)*(4*r**2 - r**2 - 4*r**2)*(-1 - 4 + 1)*(4 + 3 - 5).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 3}. What is prob of sequence ttr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-58)\/(-11) + 13\/(-26) and -15\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/156 and -74\/13137.\nAnswer: 683124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 66*v**2. Let x(o) be the second derivative of -2*o**3\/3 - 632*o. What is m(x(f))?\nAnswer: 1056*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/3*p + 1\/3*p**2 + 256\/3.\nAnswer: (p + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2. Let f(m) = 5*m**2. Let u(h) = -2*b(h) - 3*f(h). Let z(l) = 245*l**2. Give u(z(g)).\nAnswer: -180075*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2 + 2192*o + 2196 = 0.\nAnswer: -1, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*v - 4*g, 0*v - g = -2*v + 427. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 0.0485, 17, 1\/7, -13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134036973 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 0.4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*n**3 + (1 - 1 - 1)*(-n**3 + 0 + 0) - 352*n + 51*n**3 + 352*n.\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -73. Let w be (-22)\/6 - -1 - -2. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o + 2 - 21*o - 12*o + 73*o.\nAnswer: 24*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4550 is divided by 62?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*t**4)*(-1 + 5 - 2)*(-5 - 2 + 3).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + a = 6, 48*a - 47*a + 10 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/(r*r*(r\/(r**(-2\/7)\/r))\/r*r)*r)\/r*r*r)*r)**(-16)\/((r*r**(-2\/19))\/(((r\/r**26)\/r)\/r)) assuming r is positive.\nAnswer: r**(-12830\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 210056, 210068, 210080?\n\"Answer: 12*u + 210044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4056613*y*z**5 - 1797*y + 36*z**2 + 4*z wrt z.\nAnswer: -243396780*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 1:15 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0749 - 3222724\nAnswer: -3222724.0749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*q**6 - 221*q**5 + 2*q**3 + 1010*q**2 + 35.\nAnswer: 3240*q**3 - 13260*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 21*i**2 + 3*i + 2. Suppose 4*w + 5*x - 23 = 42, 3*w + 5*x = 55. Does 19 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -277.2\nAnswer: 2217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 186570707 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 504 = -4*n - 500, -1 = -n - 5*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 123 + (-52 - 2)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 1, h: 3, q: 1}. Give prob of sequence cqch.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 843*b**2*m*x**3 - 15*b**2*x**3 - 44*b*m*x**3 + 310*m*x**2 wrt b?\nAnswer: 1686*m*x**3 - 30*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 11 - (-3 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*k = 23708 + 65170 + 17022 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) -0.06 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 49 - 16)*(-5 + 5 - y)*(-30*y**4 - 5*y**4 - 3*y**4).\nAnswer: 1216*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66699068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.634 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 515.633*-0.06\nAnswer: -30.93798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2\/(-5))*10\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6550449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/((-4)\/667))\/(559\/(-2795)). Does a = -1668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 212*p**2 + p - 137. Calculate r(-106).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 816 + -821. Let l(g) = -24*g**3 + 5. Let u(m) = 132*m**3 - 28. Determine x*u(b) - 28*l(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 3*n - 5*n + 12, 0 = -5*u - 4*n + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -46701*f - 3021. Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/3 - -23\/6. Let l = -167 + 145.7. Let g = -21 - l. Sort -0.2, n, g.\nAnswer: n, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5*p - 1. Suppose -h - h = -4. Let q be c(h). Let a = 37 - q. Solve -4*n + a = -4*l, 4*n - 20 + 3 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(112)\/sqrt(4)) - sqrt(136)\/(sqrt(8) + -2*sqrt(968)).\nAnswer: 23*sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -112 (c) -0.4 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35772 and 221892.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 7*n - 9*n + 17 = 4*u + u, -4*u - 20 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143264624*j - 146623134 wrt j?\nAnswer: -143264624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1300 and 40?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 9*b - 3. Let f(c) = c**2 - 1. What is -2*f(s) + l(s)?\nAnswer: -s**2 - 9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + r = 8*n + 2, 4*r - 8 = 2*n. Let o be n\/((-13)\/4 - 5\/(-20)). Solve 0 = -c - o*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*c*o**3 + 2*c*o**2 + 378*c*o + 221*c - 775*o**3 wrt o?\nAnswer: 882*c - 4650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 3*n**4\/2 - 5*n**3\/3 + 7. Find the third derivative of p(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m + 47*m + m - m)*(m - m + m)*(3 + 2 - 3).\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -9, -1, 0, 1, 13465, -3 in increasing order.\nAnswer: -9, -3, -1, 0, 1, 9, 13465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 - 456*h**4*t**3 + 2*h**2*t**3 + 32*h**2*t**2 - 2*h**2*t wrt h.\nAnswer: -120*h**3 - 10944*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440057085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*m + 4*l, 4*l + 111 = 2*m + 39. Let d be -7*(m\/21 + -2). Solve -3*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.6139 litres in millilitres?\nAnswer: 330613.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 26852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, -20 in ascending order.\nAnswer: -20, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416*b - 80 = 336. Let l(v) = 1. Let j(g) = -41*g - 164. Give b*j(a) - 164*l(a).\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/42*(-1)\/((-2)\/21)*(-840)\/1176?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 + 1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 1. Let k be -1 + (-18)\/(-15) + 48\/10. Let p(b) = -b. Calculate k*p(a) - h(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3160 - -2072. Let c = i - -208. Let n = c - -875.67. Round n to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*q**5 - 150*q**2?\nAnswer: -11280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 27 = 23. Let i = -2 - l. Suppose -3*y - y = -c + i, 5*y = -3*c - 16. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 36.38.\nAnswer: -36.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(30)\/sqrt(6))**2 + -1 + sqrt(5))*-5.\nAnswer: -19 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*g = -127 + 482, 3*t = 4*g + 248. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 53*b = 50*b - 1610 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63958 and 2486?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 4) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 6 - 6)*(3*r - 5*r + r - 2) - 10*r**2 - 7*r**2 + 2*r**2.\nAnswer: -11*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -11000?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 13. Suppose -40 = -m*f + 4*f + 2*n, -2*f + 28 = -n. Let b be (-7)\/((-28)\/f) + -1. Solve -7*w = -b*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-1) + 33 + 1 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 19\/12*k**4 + 17*k + 0*k**3 + 0 - 8*k**2. Find the first derivative of r(y) wrt y.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79888, 79975, 80130, 80365, 80692?\n\"Answer: 2*w**3 + 22*w**2 + 7*w + 79857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.72 - 0.28. Let s = -191 + 191. Let k = 47 + -283\/6. Sort y, s, k, -0.4 in descending order.\nAnswer: s, k, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 7809?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*t + 5 - 107 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(1*6\/87). List the prime factors of 29\/o - 2\/(28\/(-1766)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45\/(-25))\/(-3))\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20546 + 0?\nAnswer: 20546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(((-5)\/(-15))\/(-1)). Let n(t) = -t**3 + 4*t**2 + 6*t - 7. Let j be n(5). Let w = j - f. Let d(l) = -l**2 - 3. Give d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4 - 2100*q**3 + 12672*q**2 = 0.\nAnswer: -1056, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -796*c**3*n**5 + 195*c**3*n**2 + c**3 - c*n**2 - 2*n**5 wrt n?\nAnswer: -47760*c**3*n**2 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78692508 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 340 - 640. Let a be (-20 + 0)*4*n. Suppose -17*u + 13*u = a. What is u rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 6411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2707*b**3 + 41*b - 40*b - 2256*b**3.\nAnswer: 451*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821, 1715, 2609, 3503?\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(-6*2*sqrt(208))**2*-3)*-2.\nAnswer: 539136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + sqrt(720)*4) - ((sqrt(245) - (sqrt(245) - (-6*(-1 + sqrt(245) + sqrt(245)))**2)) + sqrt(245)).\nAnswer: -35316 + 1121*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 62, 86, 110?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 9. Let l be ((-23)\/(-46))\/(2 + (-66)\/32). Calculate i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*y - 650 + 374 - 2140 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 2519*l + 48689 = -12389 + 2704 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from jjtajjjjjjlja.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 30. Let y be f(12). Let m be (-18)\/22 - 9\/y*-2. Sort -1\/30, 4, 3\/2, m in increasing order.\nAnswer: -1\/30, m, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12216961 and 28582?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8)*(-88)\/2. Let k = h + -38. Suppose -2*v - 4*z = -32, 2*v - 7*v + 3*z + k = 0. Calculate the remainder when 15 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 1\/(-1 - 0). Let c(j) = -19*j - 180. Let z be c(-12). Calculate the highest common factor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 3904870.\nAnswer: 15619480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 694440 divided by -270?\nAnswer: -2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -32\/7, -0.3, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100, 380, 838, 1468, 2264, 3220, 4330, 5588?\n\"Answer: -w**3 + 95*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*a - 151*a - 3 = 3*j, -1 = -5*a + j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*t = -t + 3, 8 = 4*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1617 and 4112570.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 155.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 4 - 4)*(-3*f + 5*f - f + (-2 - 1 + 6)*(-9*f + 5*f - 8*f))*(5*f - 4*f - 3*f)*(-815*f + 815*f - 19*f**2).\nAnswer: -2660*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 85 (b) -8\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z = 250*z - 504. Solve t = -5*b - 15, 2*b - 8 = -z*t - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**5\/13 + 32*k**4\/13 - 12*k**3 - 1512*k**2\/13 - 3834*k\/13 - 3240\/13.\nAnswer: 2*(k + 3)**4*(3*k - 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3, 3.5 in descending order.\nAnswer: 3.5, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76339 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/7)\/((-74)\/(-1036)). Let x(c) = f + 11*c + c**2 + 34*c - 53*c. Suppose -31 = -4*k - k + 2*w, w - 2 = 0. Give x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5655, 5561, 5467, 5373, 5279?\nAnswer: 5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 - 516\/5. Factor -c*h + 0*h**2 - 2\/5 + 4\/5*h**3 + 2\/5*h**4.\nAnswer: 2*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-2 - sqrt(325)) + sqrt(325))*3 + (sqrt(325) + sqrt(325) + -1)*1 + 1 + (sqrt(325) + 5*(sqrt(325) + -3))**2.\nAnswer: -920*sqrt(13) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 10. Let t be (f\/(-15)*-3)\/(-2). Which is greater: t or 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/300 - u**4\/60 + u**3\/30 - 15*u**2. Factor b(k).\nAnswer: (k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = -4*x, 4*x + 3*m = -m + 4. Let p = 0.05 - -0.25. Let a be (-14)\/4 - (-2)\/4. What is the nearest to -1 in x, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -1.1, -39, 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 5870.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h**4 - 70445*h**3 - 231950*h**2 + 221720*h + 80640 = 0.\nAnswer: -4, -2\/7, 1, 2016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10135 - -21066. What are the prime factors of v?\nAnswer: 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5 - 46*z**4 - 313*z**3 + 4968*z**2 - 11664*z = 0.\nAnswer: -27, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -143 in -1.096, -1\/4, 2, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, 0, -1.6, 0.00801, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45a16 - -72?\nAnswer: -45994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -108*p + 4. Let o be d(-1). Let i be (-9)\/15 - (3912\/20)\/(-6). Calculate the greatest common factor of o and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 + 161384*j**3 + 1627315476*j**2 - 9768896384*j + 8141419520 = 0. What is j?\nAnswer: -20176, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -3. Do h and -1\/10 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 182 = -478. What is the highest common factor of 37 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412831229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 24 + 3. Suppose -q - 19 = -3*k + s, -4*k + s + 61 = 0. What is the greatest common factor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000316968308 rounded to 7 decimal places?\nAnswer: -0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.066555 or -14338?\nAnswer: -14338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466420 is divided by 31079?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 - 30*q**3 - 26*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 20*n - 2*n**2 - 2*n**3 - 24*n - 6. Let l be r(4). What is the first derivative of l*d**3 + 6 + d - d + 2*d**3 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11))**(-22\/5))**(7\/5) assuming p is positive.\nAnswer: p**(1694\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266910 = -94*a + 14*a - 2*a. Calculate the highest common divisor of a and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13880710 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -1, 3 in descending order.\nAnswer: 158, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i - 156 = -89*i. Suppose -i - 16 = -4*q - 4*y, 3*q - 5*y = 5. Calculate the least common multiple of 263 and q.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 - 3*k + 3. Let j be s(3). Let z be (1 - 0)\/((-6)\/j). Solve z*v + 6 = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -157\/4. Let v(i) = i**2 - 13*i + 11. Let s be v(12). Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.16 - 0.16. Let h = -0.3183 + -0.0817. What is the third smallest value in h, -7, 4\/7, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/119)\/(((-12)\/(-98))\/6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/24 + (-12)\/48?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*f = 29286, 4*f + 18996 = 3*n - 24882. Is n a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + sqrt(320))*5*-6 - (-3 + 1*(sqrt(320) + 1) + sqrt(320))**2.\nAnswer: -1314 - 416*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - -32) + 46 - -47\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -626*r - 620*r - 615*r - 618*r + 2476*r. Let q(l) = 541*l**2. Determine q(a(k)).\nAnswer: 4869*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kak when three letters picked without replacement from jkkkajkjjkjkkjk.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.1 - -3.9. Let s = 21.74 - g. Let d = s + 0.06. Is -0.2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.1 times 0.4?\nAnswer: -102.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 8. Let z be s(6). Suppose -4*k - 2*u = -1232, -5*k = -z*u + 5*u - 1537. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 6, 3, 11.521, 0.5, -2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*m**3*x**3 + 2*m**3 - 476*m**2*x**3 + m**2*x**2 - 3*m**2 + 1147*m wrt x.\nAnswer: -570*m**3 - 2856*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 734686203 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 4*i + 2*i)*(0 - 4*i + 2*i + 2) - i**2 - 20*i + 20*i as b*i + q + x*i**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -765*a**5 + 1020*a**2 - a.\nAnswer: -45900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i. Let b be u(1). Let o(v) = -25*v - 14 + 8*v + b - 8*v. List the prime factors of o(-3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -10 + 7 + 22 + -18 + (-7 - -21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16040, -75, -8, -4 in decreasing order.\nAnswer: 16040, -4, -8, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2154100 to the nearest 10000.\nAnswer: -2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - ((0 - 10) + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2970 and 13014?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881*g + 65 = -k - 1876*g, 26 = -4*k + 2*g. Factor 0*b + 20*b**2 + k + 1\/5*b**4 + 4*b**3.\nAnswer: b**2*(b + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/488 and -49\/380.\nAnswer: 46360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3*r**5\/5 + 7*r**4\/4 + 13*r**3\/3 + 255*r**2\/2 - 5*r + 1949. Find the second derivative of p(d) wrt d.\nAnswer: 36*d**2 + 42*d + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 822*t = -9*r - 823*t, 2*r + 4*r = 5*t + 180 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49660 (base 11) to base 13.\nAnswer: 26614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9328 by -36045.\nAnswer: -9328\/36045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 190291895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - (-38)\/152*38\/1. Sort s, -1, 5, -2, -6 in increasing order.\nAnswer: -6, -2, -1, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 698 = -31*d + 165 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -358*w - 30417. What is m(-85)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**6\/9 - 254*b**5\/3 + 67415*b**4\/3 - 19323380*b**3\/9 + 18921425*b**2\/3 - 18787862*b\/3 + 644. Let s(a) = 0. What is a?\nAnswer: 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7557 - 7557 + x. Let t(i) be the third derivative of i**6\/180 + i**4\/12 - i**2. Let v(l) be the second derivative of t(l). What is v(g(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + (-4 - 1) + -2. Let l be ((-4)\/((-28)\/(-7)))\/(n\/(-14)). Let k = -4.97 + -0.03. What is the nearest to 1 in 3\/7, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121927939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/9 - 3188*s\/9 + 3185\/3 = 0.\nAnswer: 3, 3185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y + 8536 + 5617 - 10557 = 0 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0421002 and -2042766.7?\nAnswer: 2042766.6578998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99755 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -17. Suppose 3*d = -2*q + 8, 3*d + 3*q + g = 19. Is (-6 - d)*(-669)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 965177 times 9\nAnswer: 8686593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i + 4. Suppose -x - 3*s = -6*s - 8, -4*x - 3*s = -47. Let b be m(x). Solve -z + t + t - 7 = 0, -16 = -b*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 341*x - 11888. Give v(35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + l)*(1 + 1 - 3 + (1 - 1 + 2)*(-2 + 1 - 2) + (-1 + 0 - 1)*(0 - 5 - 9)) to the form g*l + r and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6148*z**3 + z - 239579 wrt z?\nAnswer: 18444*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 463263158 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-18 + -31 + -25).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 618 + -614. Solve -a = -13*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14113613*h**3*v + 36025*h**2 + 15*v wrt h?\nAnswer: -84681678*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54294332.5 rounded to the nearest one thousand?\nAnswer: -54294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*r + 878*r + 11*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/24 - 27\/36 - (-5)\/15.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-3 - -1)) + -3. Suppose 0 = 4*g - h*g - 58. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.509258t to kilograms.\nAnswer: 1509.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 0) + -1 - (29 - -3 - -18 - 1).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-3) + -6 - (0 - -1). Solve c = j + d*j + 25, 3*c = -4*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 + 3*d**2 - 4*d**2 + d**2 + 0*d**2 + 0*d**2 + (2*d**2 + 2*d - 2*d)*(-8 + 5 - 4) to the form a*d**2 + b + w*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-8))\/(14\/(-14)))\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98816, 197631, 296456, 395297, 494160?\nAnswer: 593051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/14)\/((o**(-12)*o*o)\/o))\/(o\/(o\/((o**(-7)*o)\/o)*o))**(-3\/29) assuming o is positive.\nAnswer: o**(4217\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/10)*p\/(p*p\/p**(-9\/2)))\/(p\/(p**(9\/4)\/p)*(p\/(p*(p*p*p**2*p*p)\/p))\/p*p))**34 assuming p is positive.\nAnswer: p**(357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, h: 1, o: 2, w: 2}. What is prob of sequence xooh?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317511.1 millennia in months?\nAnswer: 3810133200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = -131. Calculate the highest common divisor of 1534 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 63, 110, 159, 210, 263, 318?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -9*k**3 + 60*k**2 - 3*k + 28. Let c be w(0). What is the highest common divisor of c and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*n. Let t be (n + 8)*8\/(-140). Sort t, -0.2, 0.3 in descending order.\nAnswer: 0.3, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*s - 48, 5*s - 2373 - 2402 = 2*n - 4713 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 + 5. Let h(b) = -7*b**3 + 2*b - 1. Let j be h(1). Let s be k(j). Solve 4*n - s*n + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 42 - 23*s + 134 - 83 in the form t + d*s + k*s**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000499699286 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -28*j - 20. Let n(y) = y**2 - 25*y - 5. Let x(t) = 3*t**2 - 45*t - 9. Let l(o) = j*x(o) + 9*n(o). Let d(s) = 12*s. What is l(d(w))?\nAnswer: -864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/35 and -93\/2171420.\nAnswer: 15199940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 + 70 + (0 + -1 - -36975) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 20*t - 5. Let c be u(-19). Let s = c - -29. Let d be 1\/(s\/(-80)*-4). Solve 0 = h + 2*o, -2*o = 4*h + 2 + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 165, 165, 167, 171?\n\"Answer: k**2 - 3*k + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174976859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.7 - 58.7. Which is the closest to 1? (a) -3\/8 (b) w (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 301760*g**2*i**6 + 9*g**2*i**3 - 8962*g**2*i**2 - 15*g**2 + g*i wrt i?\nAnswer: 36211200*g**2*i**3 + 54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/((-4728)\/(-480) + (-74)\/40 + 2)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 - 1. Let w(x) = -2*x**3 + 9*x**2 - x - 10. What is -18*o(r) + 2*w(r)?\nAnswer: 14*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*j + 401 + 379, -3*j - 1271 = 5*u. Let n = -76 - u. Let m be (-316)\/(-16) + (-2)\/(-8). What is the greatest common divisor of n and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-6)*1695\/1808\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/12)\/(6\/(-16)). Find the third derivative of -6*q**2 + 2*q - q - f*q**3 - q wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1 + 3*q - 4*q + 0. Let m = -3 + -3. Is f(m) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjaetttc. Give prob of sequence tae.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-43)*k**(-3\/5))\/((k**(-2\/11)*k*k*k\/((k*k**(3\/2))\/k))\/k**(-36)) assuming k is positive.\nAnswer: k**(-8901\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(-2*p + 4*p + 0*p)*(-8 - p + 8) to the form f + k*p + u*p**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1068, -8708, -29442, -69816, -136376, -235668?\nAnswer: -374238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x**3 + 8*x**2 - 5\/24*x**4 + 0 + 0*x. Let m(f) = 3*f. What is -7*m(g) - 4*u(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 11*b - 1039. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -145.999802. What is v rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 4*i)*(-13*i**3 - i - 2 - 2*i + 15*i**3).\nAnswer: 4*i**4 - 6*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4414, -19, -0.2, -4 in increasing order.\nAnswer: -19, -5, -4, -0.2, 3, 4414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -467, -1127, -2211, -3821, -6059, -9027, -12827?\nAnswer: -17561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.976 - -0.93. Round r to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n - 0*n. Let v be n\/(-6) - (-1)\/2. Let u be -1*1 + 4\/6. What is the second biggest value in v, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -98. What is the common denominator of 73\/40 and -3 - (558\/(-56) + w)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -51. Solve -3*o = 2*o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 - 10*o + 6. Let h be g(9). Put 5, h, -8 in increasing order.\nAnswer: -8, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4289290 is divided by 4482.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3415 - 0.2415. Let i be 7\/14 - (-26)\/(-28). Which is the biggest value? (a) -0.1 (b) z (c) i (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-4) + (-15)\/60. Is 21 a factor of (-78)\/n*-7*(-6)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1418, 1215, 1012, 809, 606?\n\"Answer: -203*w + 1621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - 364\/8. Let f be 2 + 0 - (r - 1). Suppose 2*y - 8 = -d + 70, -2*d - f = -y. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21456 and 972.\nAnswer: 579312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76949896 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*y**3 - 14*y**2 + 55*y + 5 wrt y.\nAnswer: -42*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00303322 to five dps.\nAnswer: 0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 * 31\nAnswer: -25.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 + 12. Let u be y(-5). Suppose 12 = 3*n - 4*j, 4*j + u = 4*n - 0*j. Solve -b + 1 - 4 = n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f**2*f)*f)\/f)**(-10)\/(f**2)**(4\/23))\/((f*f**1)**(-9\/8))**(-4\/29) assuming f is positive.\nAnswer: f**(-439\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + a - 4 = -0*a, -3*w + 3*a - 6 = 0. Is w greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1368618*s**3 - 23*s**2 - 286*s - 2?\nAnswer: -8211708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -78, -138, -196, -252, -306?\n\"Answer: f**2 - 65*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -32, -26, -18, -8, 4, 18?\n\"Answer: k**2 + k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0197 - 16.0197. Sort 4\/7, x, -2\/11, -4.\nAnswer: x, -4, -2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 40 = -3*a + 2*z, -4*z + 20 = 2*a. What is the smallest common multiple of 2\/((-14)\/(-4) - 3) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 9281, -2\/7, 0.4, -0.2 in decreasing order.\nAnswer: 9281, 0.4, -0.2, -2\/7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-13)\/h)\/((h**(1\/6)*h)\/h))\/(h\/(h\/(h*h**29))*h)**(-24) assuming h is positive.\nAnswer: h**(4379\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -8)\/(1\/(-4 - -1)). Solve -2*b + 11 = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/24 - 7\/(-36). Let o = 3.51 - 4.56. Let c = -1.15 - o. What is the closest to c in s, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211220001 (base 3) in base 12?\nAnswer: -47277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 47970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(-6)) - (6 + -10). Let m = -1 - -1. Suppose r*f + 2*f - 12 = m, -f + 30 = 3*q. Calculate the remainder when 17 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = u + 13, -3*b = -3*u - 21. Let c(t) = t**3 - 4*t**2 - 5*t + 3. Let m be c(b). Suppose -m*x - 6 = -3. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049867 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1 + 0*o**2 + o**2 + 2*o + 0*o**2 + 0*o**2. Let x be c(-9). What is the greatest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*i + 5*i = -1104 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 9. Determine u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1272 by -24.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 338*u**3\/11 + 11258*u**2\/11 + 3440*u\/11 + 24 = 0.\nAnswer: -33, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 29695730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) 12\/5 (d) 3\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (34 - (7 + (-10 - -2))) + 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27840.29 millennia in months?\nAnswer: 334083480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*f + 3, 6*f = 4*f - 4*c - 6. Solve f = -7*z + 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvwq. What is prob of sequence vdv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.88 - -0.12. Let p = w - 7.99984. What is p rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 588, 589, 590, 591, 592?\n\"Answer: q + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.832906 millilitres in litres?\nAnswer: 0.000832906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 27*z - 484232 + 1610099 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:20 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {u: 2, q: 2, v: 2, n: 2, t: 1, r: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -819*f**4 + 354*f wrt f.\nAnswer: -9828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*c + 9*n, -5*c - 5763*n + 10 = -5761*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6888 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + 13*t + 2 to the form n + p*t and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6025 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 12*b - 28. Let z = 157 - 153. Let y be v(z). Solve -y*q - 3 + 19 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:05 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1002, 4092, 9296, 16614, 26046?\nAnswer: 37592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -647206 + 1037103. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 7*h + 8. Let n be i(-6). Let j(q) = 6*q + 3*q - 3*q - 6. Let d be j(2). Solve n*g - 2 = -d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and -50\/34097.\nAnswer: 68194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 t, and 1 j when three letters picked without replacement from {p: 2, j: 1, t: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 229?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/4 - 11*i**2 - 799*i\/4 - 377\/2 = 0.\nAnswer: -13, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10150224134 + 2?\nAnswer: -10150224132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k + 70*k - 18*k - 35*k**2 - 30*k**2.\nAnswer: -65*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.144 and -4.4217?\nAnswer: -0.6367248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 4?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqq. What is prob of picking 1 u and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.078847km to meters.\nAnswer: 2078.847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*y - 6 = 172*y - c, 0 = -4*y - 4*c - 36 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(1700))*3 + 1*(1 + sqrt(1700)))**2.\nAnswer: 720*sqrt(17) + 27281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -17*j**6\/120 - j**5\/60 - 13*j**4\/4 - 15*j**2 + 5. Find the second derivative of v(y) wrt y.\nAnswer: -102*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.03 + 6. Let p = 106 + -103. Suppose 0 = -3*f - 5*w - 35, -p*f = 2*f - 3*w + 13. Which is the closest to j? (a) -2\/11 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5769*1\nAnswer: -5769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0162? (a) -11\/4 (b) 2\/9 (c) 15 (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -178188\/17 < -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/31))\/v**4*v**(2\/7)\/((v*(v\/((v**(1\/7)\/v)\/v)*v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-1202\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11384262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 10*s - 13. Let u(i) = -9*i + 2*i - 780 + 604. Let f be u(-24). Determine z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-10)\/6*((-2262)\/2860)\/(-87).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -2\/2489?\nAnswer: -2\/2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {h: 1, s: 1, m: 1, j: 4, q: 8}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2448 divided by 153?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 45, -97, -299, -567?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 7. Let k(v) = -v - 4. Let h(j) = 2*j + 5. Let p(z) = -2*h(z) - 3*k(z). Let s(r) = 22*p(r) - 6*u(r). Let o = 1 + 3. Determine s(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8 + 5 + 4*l**2 + 4 + 2 - 4 - 3*l. Give y(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 14*j - 10*j**2 - 3*j**3 - j - 2*j**2.\nAnswer: -3*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 7 = -21*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05263 - -4.05263. Which is the closest to -0.4? (a) -3 (b) -59 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 16*r**2 - 41*r - 667. What is b(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Suppose -4*y = q - f*y + 3, 4*y + 12 = -3*q. Suppose q = 5*s - 117 - 3. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 73, 59, 39, 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(u**(1\/5)*u))\/u))\/u)\/u*u\/(u**(3\/2)*u*u)*(u**(1\/2))**(-20\/13) assuming u is positive.\nAnswer: u**(-269\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 - 11*l**2 - 24*l. Differentiate q(g) with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -4 (c) 1\/5 (d) -5 (e) -1 (f) -30\/7 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5\/2, -0.1 in decreasing order.\nAnswer: 8, 5\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p + 24 - 24 to the form l*p + b and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44116658, 88233290, 132349886, 176466428, 220582898, 264699278, 308815550?\nAnswer: 352931696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 67.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t - 15. Let q be b(-3). Suppose l - 3*d - q - 29 = 0, -4*l = -4*d - 192. What is the remainder when 148 is divided by l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19594893 divided by -27329\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 53*p + 2 = 0. What is the derivative of -38 + 8*s**p + 34*s**2 + 17*s**2 wrt s?\nAnswer: 118*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 12 = 0. Let w = 1 - t. Suppose -4*n = 16, 0*n = 4*h + w*n + 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509988, -509986, -509984, -509982, -509980?\nAnswer: -509978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31106 (base 8) to base 13\nAnswer: -5b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47358*i**3 + 55363*i**3 + 1 - 1.\nAnswer: 8005*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328 - 2984 - 655 + 184 - 10 - 2220)*(2*b + 0*b - 3*b).\nAnswer: 5357*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 1232, 3062, 5738, 9326, 13892, 19502, 26222?\nAnswer: 34118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -15.4. Let y = 1.9 - u. Suppose -5*c + 2*f + 15 = -3*f, -2*c - f + 9 = 0. What is the nearest to -0.1 in -2, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2905*z**3 - 3605*z wrt z?\nAnswer: -17430*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29595.\nAnswer: 3, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k - 1. Let g be l(-1). Let x = g - -17. Let a = -3 + 8. Sort a, -5, x in increasing order.\nAnswer: -5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + (7 - 0) + 3 + 0. What is the remainder when 260 is divided by (77\/14)\/(((-1)\/12)\/m)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20672 - -454863\/22. What is the common denominator of -103\/10 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0.1 (c) 16 (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406932416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17288746483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4*40\/(-10). Is ((-46)\/6)\/(z\/33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -100\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49515 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 + 1\/6*n**4 + 0*n**3 + 1\/15*n**5 + 8*n**2 + 1\/120*n**6 + 0*n. Find b such that s(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442432020 (base 5) to base 11.\nAnswer: 10a220a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 18*v - 22. Suppose 2*p = -p + 3*f + 39, -v = -p + 3*f. Calculate the highest common divisor of 28 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 50\/3*c + 0 - 2\/15*c**2 = 0.\nAnswer: 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*h + 1512 = -730*h. What is the greatest common divisor of h and 6566?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4479 or 0?\nAnswer: 2\/4479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2584, 4470, 5664, 6166, 5976, 5094, 3520?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 6. Let a = -75 - -139. Suppose 62 = u - a. Calculate the greatest common divisor of u and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.965 + 0.035. Let c = r - 12. Let i = 23 - c. Sort -6, 5\/6, i in descending order.\nAnswer: 5\/6, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -12 + 23 + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.146851 to 1 decimal place.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34980\/(-89782))\/(6\/22)*2\/(-1).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p**2 - 7 + p**3 + 4*p**2 + 115*p - 123*p. Calculate h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/5)\/((-8)\/(-20)). Suppose -4*h + 0 = t - a, 0 = t - 4*h + 8. Suppose 4*g - 80 - 32 = t. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5014*m + 1272*m = -295618 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Let k = 6 - o. Solve -2*m - 4 + 10 = k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-1))\/2 - 1. Suppose -31*p = -14*p - 68. Sort 43, p, 1, l in increasing order.\nAnswer: 1, l, p, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*m - 6*m = 13, 3*l + 5*m + 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*l - 60 - 108, n - 189 = -5*l. Suppose l = 3*d + 4*a, 0*d + d = 5*a + 25. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4053193 divided by -6\nAnswer: 4053193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 717133404 divided by 2\nAnswer: 358566702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:27 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 566. Is 49 a factor of (y\/(-7))\/(10\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(1 + 1 + -2965 + 14).\nAnswer: 3, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 - 9*d + 13. Let n(k) = -k**3 - 5*k**2 - 10*k + 14. Let t(x) = 6*n(x) - 7*y(x). Does 3 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53012 is divided by 282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 12 = -0*x + 2*x + 2*w, -3*w = 1525*x - 1518*x + 219 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 276*c - 276*c)*(-c + 5*c - 2*c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -t, 4*c + 4*t + 685 = 665 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 191*h\/2 + 192.\nAnswer: -(h - 384)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 339979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3959489779056 and 5.\nAnswer: -3959489779051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -88 and -87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2527.8660018 and -0.2.\nAnswer: 2527.6660018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -35 (b) 0.4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 34. Let y = -16056 - -16117. Calculate the remainder when y is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 15. Let j = -15 - -19. Suppose -70 + 18 = -j*o. Let w be l(o). Solve 2 = w*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001000011011111100000 (base 2) to base 8\nAnswer: -21033740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 7, 0.008, 2\/201, 1\/13 in descending order.\nAnswer: 7, 4, 1\/13, 2\/201, 0.008, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 + 26.1. Let r = -28.99977 + o. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/7, -17, 2\/7, 46, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 15*p**2 + 2*p - 32. Calculate q(-15).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11670698400 rounded to the nearest 1000000?\nAnswer: -11671000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 591, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105.08 - -107. Let d = t - -0.08. What is the closest to d in -0.4, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 21 = -67*j + 70*j, -5*j + 0*j = 25 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 7. Let p be j(3). Solve -3*q = 5 - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyryyrrryyry.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970 is divided by 184?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, -4 in increasing order.\nAnswer: -4, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*o + 7*o + 256 = 0, -5*c = -3*o + 672. Is 9 a factor of c\/4*(-2 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t. Let f(r) = 52*r. Let i(v) = -4*f(v) - 13*z(v). Let x(p) = p**2. Give x(i(a)).\nAnswer: 169*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -n + 1, n - 5*p - 4 + 3 = 0. Let y be (10 - (9 + 0))*1. Calculate the greatest common divisor of n and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 403 + 162 + 118 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228722.\nAnswer: 2, 13, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 30*l**2 + 29*l + 24. Determine p(-31).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -37, -39, -41, -43, -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 136*l + 1064. Give q(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 3*m**3 - 3*m**3 + (-1 + 1 + 2)*(5*m**3 - 3*m**3 - m**3))*(9 + 92 + 12)*(-2*m - 4*m + 4*m + 1).\nAnswer: -1130*m**4 + 565*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**5 + 1563*b**4\/2 - 1395*b**3\/2 - 7230*b**2 - 5790*b - 1224 = 0. Calculate b.\nAnswer: -2, -1\/2, -2\/5, 4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - w - 65 = 0, -4*w + w - 15 = 0. Let l be (-3)\/t + 22\/10. Factor 2\/3 + 0*y - 2\/3*y**l.\nAnswer: -2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 14*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 130*o + 1199. Let c be y(-54). What is the greatest common factor of c and 3311?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u = -35*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 3. Suppose 46 = -59*j - 113 - 18. What is z(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/1260 - f**3\/2 - f**2. Let g(x) be the first derivative of z(x). Factor g(b).\nAnswer: -2*b**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*p, -p - 3 = 2*p. Find the common denominator of 3\/z*1025\/(-450) and -101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + f = 7, 7*r - f + 92 - 109 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3716522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 6*(1 - 7\/(-14)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/115920 and -67\/23184.\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:19 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4481 (base 11) to base 5.\nAnswer: -142042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/(-7))*(-27)\/(-126).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324851189 a multiple of 3609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Let u = -0.2 + 0.6. What is the nearest to w in u, 5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 398*h**3 + 2996*h**2 - 22808*h - 54384 = 0. What is h?\nAnswer: -11, -2, 6, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/726*-187)\/((-61)\/183)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4075.54 + 4169. Let i = 1.54 + k. Let x = i - 95.049. What is x rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 18. Let b = -38 + x. Factor -3\/2*a**3 + b - 3*a + 9\/2*a**2.\nAnswer: -3*a*(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 1. Let j(a) = 92*a**3 + a**2 - a + 1. Let p be j(t). Suppose -3*x - p = -426. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 84.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2 - 2 + (2*h - 5*h - 21 + 23)*(0*h**2 - 2*h**2 + 4*h**2).\nAnswer: -8*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10 + 2, -3*d + 4*f - 44 = 0. Let i(h) = -h**3 - 11*h**2 + 11*h - 9. Let m be i(d). Solve u + 2 = -3*l, -3*l - m*u + 6 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/6*(-1)\/19*-2. Let b be 1\/1 + 10\/((-510)\/57). Put 1\/4, f, -2\/9, b in descending order.\nAnswer: 1\/4, b, f, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150258, -300265, -450272?\n\"Answer: -150007*z - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -29*b + 105. Let h = -916 + 919. Let w be s(h). Is w != 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422+118984923252\nAnswer: 118984922830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1672*n - 632*n - 844*n - 2 - 217*n - 700*n + (1 + 2 - 4)*(0*n + 3*n - n) in the form d + m*n and give m.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -5631013\nAnswer: -10\/5631013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 87, 212, 393, 630, 923, 1272?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 120. Let b be k(15). Let m = b - 215. Which is smaller: m or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 64*y + 19. Let x be (-80)\/25*-5 + 2. What is the tens digit of t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 + 129. Solve -17 = 3*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -653 in 3, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106 divided by -180?\nAnswer: -3053\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:22 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b - 4. Let l(s) = s - 1. Let k(h) = -h**2 + 3*h - 2. Let v be k(3). Let m(f) = v*l(f) + g(f). Find the first derivative of m(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaav when four letters picked without replacement from {v: 2, a: 4, w: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21344 (base 12) in base 16?\nAnswer: -aaa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/3)*p)**(-42))**35)**13 assuming p is positive.\nAnswer: p**(-25480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26327\/6 + 4402. Let h = -971\/138 + 20\/23. Calculate the common denominator of a and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + (3 - 1) - 9\/((-144)\/141392) is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c. Suppose 8*g - 11*g + 12 = c. Suppose -g*z + 80 = -320. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 80 - 125 = 0. Suppose 0 = t*m - 42*m + 34. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/22 and 0 + (-4)\/(96\/(-141))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2. Let c be b(0). Suppose c*n = -0*n. Suppose -h + 0*h + 3 = n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2881627.27 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 33, 68, 107, 144, 173, 188?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 20. Suppose -6 = -x*z - 2. Suppose v = -z*v + 3*g - 17399997, 0 = 4*g + 4. Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = -47*t + 4892. Calculate the remainder when t is divided by -1 + (-1 - -34) - -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (25 - 59) + 27 - (-53 - -4)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*g**2*j**2 - 143*d**2*j**3 - d*g**2*j**3 - 18*d*g**2 - 7*d*g - 2*d*j wrt d?\nAnswer: -2*g**2*j**2 - 286*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87558839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/1485)\/((-6)\/(-45)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 76 + 700 - 2152 - 2861 - 2*t.\nAnswer: -2*t - 3930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciimecc. Give prob of picking 1 c, 1 e, and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)*w\/(w**(-1\/7)*w) assuming w is positive.\nAnswer: w**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8341, 7945, 7549, 7153, 6757?\n\"Answer: -396*v + 8737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -138, -217, -296, -375, -454?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by (0 + (-40)\/15)\/(12\/(-234))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(16) - sqrt(176)\/sqrt(11)) + sqrt(16) - sqrt(16))\/sqrt(2)*-2)\/(-1*sqrt(64)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, -1, 33, 0, -4 in increasing order.\nAnswer: -4, -2, -1, 0, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 22 = -5*j, 0 = -3*y + 4*j + 20. Suppose -4*m + 304273 = -7*b + y*b, -2 = -2*b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/3 - 4*o**4\/3 + 7*o**3\/3 + 10*o**2\/3 = 0?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.64841 millilitres to litres.\nAnswer: 0.00664841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 11)\/((-2)\/194). Let o = 145 - a. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 0*c - 5 + 5.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 38*s + s as d + g*s and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/362?\nAnswer: 3\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, -23, -466, -1371, -2900, -5215, -8478, -12851?\nAnswer: -18496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*n = 3*n - 19, 3*b - 2*n = 1. Suppose 2*l + 309 = 5*g - 0*l, b*l - 72 = -g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 14 = -3*r - 5*o, -3*r + 5*o = 4. Let k(m) = -3*m. Let v be k(r). Let w(q) = 10*q + q**2 - 19*q + v*q. Let b(a) = 3*a. Calculate w(b(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*q - 32*q - 98. Let b be 10\/35 + 14\/q. Solve -2*v - 4*t + 3 = -3, v + 3*t - 3 = b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3551899?\nAnswer: 13, 433, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6\/(-6 - -9) + 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/11 + 21752*y**2\/11 - 520846*y\/11 - 542600\/11 = 0.\nAnswer: -1, 25, 10852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - 73. Let t be n\/39 + 4\/(-26). Determine r, given that 3*r**2 - 4*r**2 - 5*r**t - 3 + 9*r = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 11*w + 10. Let q be r(-11). Suppose q*g - 15*g = -10. Solve g = 3*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -1. Suppose 6*z = w*z. Suppose 0 = -z*t + 3*t - 60. What is the remainder when 59 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24607 - 3055?\nAnswer: -27664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is -459278 <= -459285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38325468 from -22370.\nAnswer: -38347838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 13248 + 73923. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -27 + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + 3*j**4 - j**4 + (j**4 - 4*j**4 - 2*j**4)*(2 + 3 + 1) - 2*j**4 + j**2 - j**2)*(5 - 2 - 2).\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*g - 4 = -156*g. Factor -52*y + 6*y**2 - 524*y**4 + 38 + 522*y**g + 16*y**3 - 6.\nAnswer: -2*(y - 8)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*g + 113*g = -504. Calculate the greatest common factor of g and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1600 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*m = -77, 0 = -k + 2*m + 92. Let u = k - 38. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m. Let t(r) = 3*r. What is d(t(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let g(r) = 39775*r + 217. What is g(y(b))?\nAnswer: -39775*b + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.211.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prp when three letters picked without replacement from {r: 3, c: 2, i: 1, l: 2, p: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(33\/(-9) - -3). Suppose s*h - 36 = 12*h. Let j = 5 + h. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1617031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 26 + 26 + 156)*(3*g**2 + g**2 - 7*g**2) to the form i*g**2 + o*g + d*g**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -453 (c) 2\/17 (d) -0.27 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, r: 5, f: 2}. Give prob of sequence brr.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 270.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o. Let v(x) be the third derivative of 0 + 0*x + 0*x**4 + x**2 + 1\/15*x**5 + 0*x**3. Give v(w(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33060.\nAnswer: 2, 3, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6042569, 6042572, 6042577, 6042584, 6042593, 6042604?\nAnswer: 6042617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 141 - 3*h**2 - 6741*h + 6761*h + 67.\nAnswer: -3*h**2 + 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 9*c + 6. Let y be r(6). Suppose -9*h + y = 3*h. Find the second derivative of -863*o + 16*o**3 + h*o**3 + 843*o wrt o.\nAnswer: 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -171, -200, -243, -300?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 241 + 3677. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1113*n**6 - 51*n**5 + 5*n**2 + 1251*n - 9 wrt n.\nAnswer: 133560*n**3 - 3060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 2104 + 2*t**2 - 2104. Let h(q) = -26*q. What is h(k(c))?\nAnswer: -104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, 1 b, and 1 c when four letters picked without replacement from ccicbbcbiccccclc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 times -20?\nAnswer: -6940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8887 + 8917. What is the lowest common multiple of x and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1268*i**5 + 38*i**4 + 11140*i**2 - 6*i?\nAnswer: 76080*i**2 + 912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92784154.\nAnswer: 2, 46392077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7851, -15703, -23555, -31407, -39259, -47111?\nAnswer: -54963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 8*n**3 - 7*n**3)*(13 + 5*n**2 - 13) + 7*n**3 - 7*n**3 - 2*n**5 + 3*n.\nAnswer: -52*n**5 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.7. Let c = 3.2 - r. Let b = -37\/44 - -1\/11. Put b, c, -1 in decreasing order.\nAnswer: c, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 32 - 43. Let h be (12\/a)\/((-2)\/10). Which is bigger: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 16. What is y(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 9 (c) 2\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 210286 plus -1339?\nAnswer: 208947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 0*1\/3. Let v = o - 1. Put 4, 0, v in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 88255.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -25*o**3\/3 + 82*o**2 - 2*o + 4. Let m be b(-14). Is m <= 864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -757, -751, -743, -733, -721, -707?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 1220124?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfkfpkfkfpfprv. Give prob of sequence pfpk.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 310*z - 227. Let v(m) = -153*m + 113. Let u(p) = 2*s(p) + 5*v(p). What is the first derivative of u(a) wrt a?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 1\/75, 33, 15, 3?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109691 is divided by 7312.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + 93. What is the least common multiple of 133 and c(16)?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 10*h**3 + 27*h**3 - 4*h**3 + 67*h - 13*h**3.\nAnswer: -h**3 + 67*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:10 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 40 = 2*u. Let s(b) = 1 - 4*b - u*b + 16*b + b**2 - 100000*b**3. Let p be s(-1). What is p rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -55*t**7\/7 + t**3\/3 + 56*t + 9. What is the third derivative of q(n) wrt n?\nAnswer: -6600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3)*(-6)\/4. Suppose 0 = -f*d - 342 + 1116. Let z(u) = d*u + 4 - 260*u + 4. Calculate z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.73 + -254.73. Let d = -252.88 - z. What is d rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*z = 25, 3*z + 17 - 19 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/11, -3, 52.6, -0.4, 0.06, 5, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*a**2 - 8*a**2 + 6*a**2)*(2*a**2 + 2*a**2 - 3*a**2 + (13*a - 14 + 14)*(1 + 4*a - 1) + 5 - 5 - a**2 + (5*a - 3*a - 3*a)*(a - 4*a + 4*a)).\nAnswer: 1020*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.065 and -5094.68.\nAnswer: -5094.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1643*h**2 - h + 7625?\nAnswer: -3286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 - 7*a**3\/6 - 3*a**2 + a. Calculate d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1080*j + 1509*j + 45146 + 58414 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6) - 1)*-10. Let v be (-4)\/10 - (-426)\/o. Suppose -5*b + b = -v. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -16. Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and -167\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -972 + 1233. Calculate the remainder when 1038 is divided by g.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 h when four letters picked without replacement from hehehhhhheehe?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -228. Let z = 358 - g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r + 10. Let i(n) = 3. Let y(w) = 2*b(w) - 7*i(w). Let v(z) = 3*z**2 - 2*z + 2. Determine -3*v(c) - 4*y(c).\nAnswer: -c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279378 by -16434.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1990758 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**4\/4 - f**3\/3 + f + 39. Let l(a) = 28*a**3 - 21*a**2 + 21. Determine -21*d(b) + l(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1207 = 3*a - 4308, -2*a = -4. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -11, 1\/6, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 22*j. Suppose q + 26*q - 648 = j. Suppose -9 = -2*z + 9. Calculate the remainder when q is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = -2*r, -4*r - 5 = -5*a + 3. Suppose -5*k = -a*w, 5*w - 3*k = -5*k. Solve 3*i + i - 8 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a (base 13) to base 14.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)*n*n)\/n**(-6))\/((n*(n\/(n*n**4))\/n)\/n**(2\/7)) assuming n is positive.\nAnswer: n**(960\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.027 - 0.893. Let z = -0.82 - m. Let h be 3\/6*(-4)\/(-48)*-3. Which is the nearest to 0.2? (a) -5 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let i(q) = 11*q + 2 - 2. Determine a(i(v)).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 13*f + 28. Let y(a) = -a**2 + a + 1. Let t(m) = -r(m) + 4*y(m). Let h be t(13). Let k = -2 + h. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76524 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2096 = -2*b - 544, 5*b = 0. Suppose j - 2*o - x = -j, 0 = 3*o - 3. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(-c + 3*c + 0*c)*(-1 + 2 - 8).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72579686 or 72579685?\nAnswer: 72579685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 110*j - 65. Let y be (-6)\/(-16) + 161882\/(-496). Let w = y - -196. Let u(r) = -5*r + 3. Calculate w*u(b) - 6*d(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 0.1, 0.19, -0.1389, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(1\/(-192)))\/(-1 + 2) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33057 is divided by 309.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 3227*j**3 - 9 - 467*j**3 - 1 to i + t*j**2 + f*j + x*j**3 and give x.\nAnswer: -3694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(68)*-4)\/(-1*sqrt(4)*-3 - sqrt(4) - (sqrt(100) - sqrt(4))*2).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:18 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11959)\/(-3) - (-228)\/(-171)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 16 - -11 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppgpppppppp. What is prob of picking 4 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 9*j + 8. Let u be c(6). Let l be u\/2 - (1 - 0). Suppose -4*w = 5*q - 6, 4*q = -w - 4*w + l. What is the remainder when 10 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -14 - (6 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q - 103 = 3*a + 708, -3*a - 13 = 2*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 3, 5\/7, -2\/5 in increasing order.\nAnswer: -2\/5, 6\/11, 5\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -2. Suppose 0 = -w*d + 9*d + 112. Suppose 4*c - 76 = 5*f - 0*f, 2*f = -8. Calculate the highest common divisor of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1591 + -1583. What is the nearest to i in 0, -8, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/17 (b) -1 (c) 43557\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 15\/406, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 64. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.901, 0.108, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 43 - 85. Calculate the remainder when 262 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82801 * 45\nAnswer: -3726045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:24 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 174473 to the nearest 100.\nAnswer: 174500","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose 49 = 4*t - 67. Let s = 146 - 163. Let f = t + s. Solve f = m + 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.21 - 43. Let r = 0.21 - t. Which is the second biggest value? (a) 3\/4 (b) -4\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 204*z**2\/7 - 842*z\/7 - 636\/7.\nAnswer: 2*(z - 106)*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -0.1869 (b) -0.3 (c) 2\/3 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let v(r) be the third derivative of -r**5\/30 + r**4\/4 + r**3 + 9*r**2. Let z(m) = -m - 1. Let b(l) = v(l) + 6*z(l). Give b(o(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -6*f**3\/7 + 126*f**2 - 246*f - 2610\/7 = 0.\nAnswer: -1, 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c*h**2 + 3*c + 4*h**2 - 109*h wrt c.\nAnswer: 12*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 12. Let s be f(-9). Let j(w) = -2*w**2 + 3*w - 2. Let h be j(2). Does h = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -9\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 864961 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -15328, 0.5, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 304.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v - 2*n = -1403730, 0 = -3*v + 4*n + 1403748. Let m be v\/72 + (-1)\/(-2). Let c = m - 6501. What is the common denominator of -109\/22 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 7*u - 11. Let x be y(-5). Suppose 2*c = 2, 5*a - 3*a = c - 1. Solve -x*k + a = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 8 = -4*u + u, j + 3 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3 - 2*y**4)*(-3 + 0 + 1)*(-6 + 1 + 4)*(0 - 3 + 2) as v*y**2 + c*y**3 + r*y + q + l*y**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b**4\/5 + 2121993*b**3\/5 + 18161078*b**2\/5 - 8385956*b\/5 + 943416\/5 = 0.\nAnswer: -9, 2\/9, 26206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i - 5 - 4*i)*(1 - 1 - 7).\nAnswer: 42*i + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 32280 = -d + 6185, 0 = -f - 4*d + 5198. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1460 and (-24)\/3*(31\/93 + (-4)\/30).\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:40 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:30 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -5)*(-2)\/(-4). Let z(n) = 14*n**2 + 1. Give z(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + p - 3 = 2*p, -p = -2*y - 9. Let j = 5 + y. Solve -4*i - j*n + 25 = 2, -2*i - 21 = -5*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - d = 0. Suppose -45*z + 43*z + 5366 = d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 15*l + 1)*(l + 4*l - 2*l) to the form w*l + s + k*l**2 and give k.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1824 divided by -19.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 1505543?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 6b?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647315, 3294666, 4942015, 6589362, 8236707?\nAnswer: 9884050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -268394, -536787, -805182, -1073579, -1341978, -1610379?\n\"Answer: -r**2 - 268390*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - y = -0 - 7, 5*h = -21*y + 19*y + 59 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7128313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424958681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + r**3 + 0*r**3 + 3*r**3 - 4*r**3 + 2*r**3 + (-5*r + 4*r + 3*r)*(-1 + 1 + 2*r**2) - r**3 + 6*r**3 - 3*r**3 + 0 + 0 + 2*r**3)*(-5 - 1 - 1).\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -81*u. Let c(d) = d**2 + 7*d. Let m(n) = -n**2 - 6*n. Let a(t) = -6*c(t) - 7*m(t). Determine a(s(g)).\nAnswer: 6561*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 13*p - 36. Let l(o) = o**2 - 3*o - 9. Suppose 0 = 110*k - 7*k + 927. What is k*l(a) + 2*x(a)?\nAnswer: a**2 + a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 3, h: 3, d: 1, v: 6}. Give prob of sequence dxh.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3\/3 + 4*g**2 - 10*g - 5. Let o be c(7). Put 4, -2, o in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 37 = 4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28102, -57631, -87162, -116695, -146230, -175767, -205306?\n\"Answer: -a**2 - 29526*a + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)\/(j\/(j**(-2\/9)*j*j)))**(3\/22)*(j**2\/j**(3\/5))**(-2\/25) assuming j is positive.\nAnswer: j**(289\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (35871\/(-9783))\/((-5)\/(-3))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 5619356.\nAnswer: -5619355.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -176.42279 and 5989.\nAnswer: 5812.57721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 4816562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose -4*i = -2*n + 18, i + 0*i = s*n - 9. Solve 4 - n = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 7664\/(-44) - (-2)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4575, -20411, -46809, -83775, -131315?\n\"Answer: -s**3 - 5275*s**2 - 4*s + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 27 - 16) + (-1 - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**28*((l*l**(-2\/5))\/l)\/(l\/l**(-3)*l*l)*(l\/(l\/(l*l**(1\/13))*l)*l\/l**(-1)*l)**48 assuming l is positive.\nAnswer: l**(7364\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/3 + r**2\/2 + r. Let b be (2\/(-1) + (-728)\/(-196))*21\/4. Give g(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/20219 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + p**2 + 5*p + 5. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8509 is divided by 404.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 822.3, 1\/13, 2?\nAnswer: 822.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384*j + 737*j = 627*j + 1224*j + 99920 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 6*o**2 + 7*o + 5. Suppose 3*d + 16 = -2*z, 5*z = d + d - 21. What is the units digit of n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5147 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 261520?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5, 3*w - 7*u + 4 = -3*u. Solve 3*h = 2*c - 1, w = -2*h - 3*c + 2 + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7687907 millennia in years?\nAnswer: 768.7907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/10 + (-7)\/(-35). Let d be 115\/35 - s\/7. Suppose -d*f + 8*f - 5*b - 25 = 0, -2*f + 2 = 2*b. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n = n + 159. Let w be n*60\/(-28) - -7. Factor 8\/7*s - w*s**2 - 4\/7.\nAnswer: -4*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183381 (base 9) in base 6?\nAnswer: 2235544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*927694\nAnswer: 1855388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m. Let r(w) = m*w + w + 0 + 0. Let t(n) = -5*n**2. Determine r(t(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19384?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j - 2*b - 29, 3*j = -4*b + 12. Suppose 0 = -g + 14 - j. What is the least common multiple of 34\/g + (-4)\/(-12) + 0 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/15)\/(2856\/340).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**2 + 2*h + 1. Let u = -1083 + 1082. Give o(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18806 = 2*d - 85*w + 81*w, -3*d + 28234 = -w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1108207219233279\/373408132171130 + -2\/48348053367. Let o = 375250 - 2608362742\/6951. Let q = o + d. What is the common denominator of 31\/15 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*x + 95766, 17*x + 63841 = 2*w + 16*x. What are the prime factors of w?\nAnswer: 59, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*v - 6. Suppose -v*l = -l - 216. What is the highest common divisor of l and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:34 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 346 = -z, 0 = 19*b - 23*b - 5*z + 354. What is the lowest common multiple of b and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.0582382\nAnswer: 0.0582382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14255*c**2. Let f(z) = 396*z. What is f(t(r))?\nAnswer: 5644980*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -k. Suppose k*m = -2*o + 57, 5*o - 2 - 3 = 0. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q - 34*q)*(1 - 2 + 2) + (-5 + 4 + 4)*(0 - q + 0) - 2*q + 0*q + 3*q - 4 + q + 4.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + (10 - -4) + -7 + -13 + 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*f - 188*f - 184 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10101001?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -8 - (25 - 26).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 28 = -352. Suppose 5*z = -1 + x. What is the remainder when 29 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26878.\nAnswer: 2, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 - 6.\nAnswer: (t - 6)*(t + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) 802 (c) -0.09707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/8 - 2 - (-7)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*o - 18 = -3*g, -g + 2*o = -8. Let j be (-98)\/35 + 1*3. Is g < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/32 and 18\/2453.\nAnswer: 78496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -66?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388 + 221 + 545)*((3*r**2 + 21*r**2 - 11*r**2)*(-2*r - r + 4*r) + (-4*r - r + 4*r)*(2*r**2 - 6*r**2 + 2*r**2) - 2*r**2 + 2*r**2 + 2*r**3).\nAnswer: 19618*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(236 - 123 + 3*n - 165)*(3*n + 2*n - 4*n).\nAnswer: -6*n**2 + 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 - d**4\/2 - 3*d**3\/2 + d**2\/2 + 3*d - 13. What is the remainder when x(-4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4) + -1)*2. Let v(r) = 3*r + 1. Let b be v(7). Let o = b + k. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 5. Let k be g(-5). Suppose -3 = u - 6. Factor x - 4*x**u + 5*x**5 - 3*x**k + x.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + q - 22, j + 29 = -3*j - 3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -z + 10, 0 = -m - 4*m - 10. Suppose -5050 = -2*c - z*b, -2*b = -2*c + 7*c - 12637. Suppose 489 = p - 4*y, y + c = 5*p + 2*y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*m - 850 = 463*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/3 - 0)\/(56\/(-7812)). Let t = -97 - n. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58969, -58971, -58979, -58993, -59013, -59039, -59071?\n\"Answer: -3*g**2 + 7*g - 58973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*g + 3*u + u, 3*g = -3*u + 42. Let f = g + -9. Let k be 0\/(2 + 0\/1). Sort f, -2, k in ascending order.\nAnswer: -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 6:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -411\nAnswer: -2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 8*q - 1. Let s be l(-7). Suppose 2*k - 2 = 2*p, 0 = 5*p + 3*k - 5 - s. Is (-37)\/p*2\/(-2) a composite 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, 4, 2, 0.145, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 1. Let q = r + 6. Let g(c) = 69*c - 2. Is g(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1903673, -1903665, -1903657?\nAnswer: -1903649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15128*t**3 + 32204*t**2.\nAnswer: -90768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -679435 divided by 5?\nAnswer: -135887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 25. Let w(q) be the second derivative of q**3\/2 + 26*q**2 + 11*q - 5. Let l(k) = 13*r(k) + 6*w(k). Determine l(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-44))\/(-103 + (-3093)\/(-30)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1639*s**2. Let i(v) = -2248704*v**2. Give -2*i(x) - 2745*p(x).\nAnswer: -1647*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -19*o**5\/30 + o**2. Let y(v) be the second derivative of 0*v**2 - 62*v + 1\/6*v**3 + 0. Give l(y(m)).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**3 - 20*u**2 + 6*u - 17. Let y be (-3)\/6*-2*(8 + -2). Let c(q) = 2*q**3 - 7*q**2 + 2*q - 6. Give y*z(i) - 17*c(i).\nAnswer: 2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311670 by 18.\nAnswer: -17315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 85\/2*c**2 + 24*c + 0 + 43\/3*c**3. What is the derivative of p(t) wrt t?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 31 = -2*g + 3*j, -3*g - 8 = 4*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4008 divided by 2004?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -53*z**2 - 9*z - 20. Let w(j) be the first derivative of 6*j**3 + 3*j**2\/2 + 7*j + 25. Let g(u) = -17*w(u) - 6*x(u). What is the tens digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 69\/(-18))*(11 - 35)\/(-6). Let o = -16.5 + 17. Which is the nearest to 0.06? (a) 0.14 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/121, -2, -4\/7, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7684381787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -122*v + 2. Let b(d) = -48*d + 1. Determine 12*b(k) - 5*x(k).\nAnswer: 34*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w - 7. Suppose 5*o + 2*o = -63. What is q(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 4009, 4476, 4961, 5470, 6009?\nAnswer: 6584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 33*k**2 - 32*k - 2. Let a be s(-32). Let i = -55 - -55.2. Let d = 8 - 11. What is the closest to a in i, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 525303\/56 + -9382. Calculate the common denominator of a and (-4)\/(-7) + (-421)\/(-84).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.072 and 791775.\nAnswer: 791775.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 14*o - 15. Calculate t(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(-94) + (-11)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7603*y - 79*y + 6422 - 1607 = -2709 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60631, 60650, 60665, 60676, 60683, 60686?\nAnswer: 60685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26383 or 26392?\nAnswer: 26392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 7 - (-1 - 17))*-14*(-10)\/(-50)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/14 + 10\/35. Let n = g - 8. Which is smaller: n or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i + 2*i)*(-3 + 2 + 2) + 12*i - i + 3*i + (2 + 8*i + 42*i - 3)*(3 - 7 + 2)*(-1 - 1 - 1) to the form l + j*i and give j.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037827463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 64. Let q be 92\/k + 3\/24. Solve 2*w = -5 + q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 30 - 111*y - 39 + 2*y**3 + 69 to the form d*y**3 + c + k*y + b*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 246*d - 661*d - 1245 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19 - r + r**3 - 3*r**2 - 11 - 12. Calculate k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504437.\nAnswer: 353, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -7*n**4\/4 + 2*n**3\/3 - 3*n**2\/2 - 4*n + 2580. What is f(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 0. Solve 2*j + 5*z = 1 - i, 0 = 3*j - 4*z - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2. Let c(u) = -12989*u. Give c(t(k)).\nAnswer: 77934*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 40. Suppose 4 = r + u + u, i = r + 4*u. Let b be (r\/2)\/((-6)\/12). Solve -6 = -b*p - 0*p + 2*q, -3*q = 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.92 - 8.92. Which is the biggest value? (a) 0.35 (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = 4*g - k - 5, -4*k = -12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0 - 8*f + 9 + 13*f. What is the tens digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 41215?\nAnswer: 24\/41215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 43*(350\/22 + (-238 - -222)) - -3\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65130173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**2 + 7*b**2 - 4*b**2 + (-3*b - 3*b + 3 - 2)*(0 - b + 0) in the form k + p*b + m*b**2 and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-2171)\/39) + -30.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -0.4. Which is the nearest to 1? (a) -0.3 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4)\/(v**(1\/2)*v*v*v)*(v**(2\/3))**39)**(-25) assuming v is positive.\nAnswer: v**(-1375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:19 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -58*h - 30. Give z(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 23912*z\/3 + 23911\/3.\nAnswer: (z + 1)*(z + 23911)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-657)\/((-12)\/(-4)) - -7. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.032 - 3.032. What is the second biggest value in z, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 707311852*c**3 + 466047992.\nAnswer: 2121935556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12012001?\nAnswer: 12011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8935 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - f - f + 40 = -2*f, -1145*f - 218*f - 10898 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -5*a + 0*a**2 + 0 - 4*a**3 - 1\/6*a**4 + 0*a**5 - 19\/30*a**6. Find the second derivative of c(z) wrt z.\nAnswer: -228*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5397 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83813, 167626, 251439, 335252, 419065, 502878?\nAnswer: 586691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l, 648*x - 31987 = 645*x + l. What are the prime factors of x?\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuyyyyyuyyyuy. Give prob of sequence yy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489259, -489358, -489457, -489556, -489655, -489754?\nAnswer: -489853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 1028*v**3 + 127885*v**2 - 1177050*v.\nAnswer: v*(v - 885)*(v - 133)*(v - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 193*v**5\/12 - 347*v**3\/3 + 11*v**2 + 15*v. Differentiate t(y) with respect to y.\nAnswer: 1930*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 64, 130, 248, 436, 712?\n\"Answer: 3*r**3 - r**2 + 14*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/3 + 1408060*s**3\/3 - 82669762198*s**2 + 63421185180160*s\/3 - 4057479930478592\/3 = 0. Calculate s.\nAnswer: 128, 351887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26044 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711886317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/10904*-4). Let y be 3\/7 + 1558\/7. Suppose -12*m = y - z. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9517 is divided by 2379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) 1\/2 (b) -2 (c) 0 (d) -4.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4741, -0.2, 5 in descending order.\nAnswer: 5, -0.2, -2, -4741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/n**(2\/25)*n))**(3\/7) assuming n is positive.\nAnswer: n**(-219\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*21\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*x**2 - 41764*x + 47736 = 0. What is x?\nAnswer: 54\/47, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 728536006 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9578 - 8848. What is the highest common factor of j and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -80*p**3 - 6*p**2 - 5*p - 2. Let l be x(-4). Let r = -2742 + l. Round r to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-4))\/((-330)\/20))\/(2\/12).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:45 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 479803 and 3628?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23035242 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -h - 9 - 20, h - 16 = -4*t. Suppose -5*w + 544 = -2*w + t*m, m = -5*w + 914. List the prime factors of w.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32\/85 + -11\/255. Let h = 1.4 - 1.1. Put h, a, -4, 4 in descending order.\nAnswer: 4, a, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 + -3.2000095. What is q rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 2 + (6*(sqrt(325) + -1) - ((sqrt(325) + -1)**2*5 - sqrt(325))) + -5)*-3.\nAnswer: -255*sqrt(13) + 4935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-5))*h*h*(h*h*(h**(2\/33)\/h)\/h)\/h)\/(h**29*h*h\/h**(-9)) assuming h is positive.\nAnswer: h**(-1450\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*s - 4*s**2 + 1795*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, v: 13}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 2*t + y, 5*y = -5*t - 25. Let a = 3 - t. Solve 2 + 4 = a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -0.07.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2. Let w be 1 + -4 + 2 + 27. Let d(m) = 26 - w - m. Give j(d(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/3))\/o)\/o**(-2\/13))**22\/(o**(-8)*o**0*(o\/(o\/(o\/o**0)))**(-36)) assuming o is positive.\nAnswer: o**(1276\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, b: 1, m: 1, z: 1, a: 1}. Give prob of picking 2 p and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.6 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2773, 11113, 25019, 44491?\n\"Answer: 2783*m**2 - 9*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10454 greater than -10453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/4631 and -19\/7578.\nAnswer: 83358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -2771a?\nAnswer: -27704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 1\/2, 0.2, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 2 - (-2 + (4 - 10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1)*1\/2. Let g(f) be the first derivative of -1 + 0*f - 9\/2*f**2. Determine g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31530049 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333885 + -6806115. What is a rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3 - 6. Let y = 3 + w. Suppose 0 = -y*c - c + 51. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13998 and 3360.046.\nAnswer: 17358.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 17 + -19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -38\/6834655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157538 to the power of 1\/2, to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.2 + -6.3. Let d = k - -23. What is d rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s + 14. Calculate the least common multiple of 18 and t(0).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1039 by -5.\nAnswer: -1039\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/79 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12307 - 12246. What is the remainder when 579 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13705 (base 8) to base 13.\nAnswer: 2a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(77)\/(-1*sqrt(7))) + (0 + sqrt(11)*-1 + sqrt(11))**2 + -5 + -2*sqrt(66)\/sqrt(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91823*x - 114211.\nAnswer: 91823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 2, -0.1, 399, 3\/13.\nAnswer: -0.1, 3\/13, 2, 4, 6, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 197*x**2 - x + 43. Is i(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 9. Let o be (-13 + h)\/(-1 - 0). Let w = -1 + 4. Solve -8*p + 2*q = -w*p + 8, p = q - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -29.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -979. Suppose -3*o - g = -5*o. Round o to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77302 + -23660. Let o be (7 - 6) + (y - -1). Let c = -35356 - o. What is c rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:57 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -405855.\nAnswer: -1\/405855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.092*-0.5.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 614, 2077, 4922, 9605, 16582, 26309, 39242?\nAnswer: 55837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 897567 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 2*v - 94. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (-1 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 92*v + 442. Give a(86).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 8*n + 8. Let p be t(-6). Let a(z) = -z - 1. Let c be a(p). Let g be c\/(-8) + 6\/16. Sort g, -2, -17 in descending order.\nAnswer: g, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14649883617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x - 2*o + 21, x = -5*o - 5. Solve -x*k - 3*w + w = -15, -7 = 3*k - 2*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(28\/35)*2)\/(-1). Sort 3, 127, 1, g in ascending order.\nAnswer: 1, 3, g, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + ((-24 - -12) + 6 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2085, -288, 2.\nAnswer: -288, 2, 2085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87906*r - 1224 + 501 - 87910*r + 175814*r - 1180.\nAnswer: -2*r - 1903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2880) - sqrt(2880))\/((-3*sqrt(48))\/sqrt(12)) + (sqrt(2000) + 1*sqrt(2000))\/(sqrt(48)\/(sqrt(60)\/sqrt(5))).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 23*c - 21*c, -41*c = o - 3825 + 3713 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 18*l + 19 = 0, 4*l = -85 + 89 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - -4*-1*sqrt(112)) + (((sqrt(112) - (sqrt(112) + -1)) + sqrt(112))*2)**2 + 5 + (1*sqrt(42)*-1)\/(3*sqrt(6)*1).\nAnswer: 59*sqrt(7)\/3 + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*r + 109*r + 2*h = 552, 4*h + 12 = 0. Which is smaller: -273 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-60))\/(6\/(-8)). Let p = -315 - -319. Suppose -5*s - 21 = -l, -4*l + 11 = -p*s - 9. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1251103*f**2*j**3 + 3*f**2 - 59*f*j**2 + 158 wrt j?\nAnswer: -7506618*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 512, 682, 848, 1010, 1168, 1322?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + i + 119 + 2*i**3 - 237 + 119 + (45 + 47 - 10)*(-2*i + i**3 + 2*i)*(3 + 0 - 1).\nAnswer: 166*i**3 + i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (937\/(-3)*1)\/((-11)\/33).\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - 72*i**2 - 210*i - 7. Give d(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 34. Let k(p) = -4*p + 33. Let i(c) = 6*k(c) + 5*x(c). Let j be i(-12). Find the third derivative of -20*a**3 + 43 + j*a**2 - 43 wrt a.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 40*m - 8. Calculate g(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18828, -37651, -56472, -75291, -94108, -112923?\n\"Answer: a**2 - 18826*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, l: 2}. Give prob of sequence lii.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - (-6 + 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27877563.\nAnswer: 3, 7, 442501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mooozoootmtook. Give prob of picking 1 m and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-12) + (159\/2)\/(-3). Let j = 13 - t. Calculate the greatest common factor of j and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 bigger than -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -869820082 plus -0.27154?\nAnswer: -869820082.27154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73622 is divided by 1599.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -35. Is s greater than 25\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6630 + 6950. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, q: 1}. What is prob of picking 4 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010110 - 10011?\nAnswer: 10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -0.5, -42108 in decreasing order.\nAnswer: 4, -0.4, -0.5, -42108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f - 9 + 6*f - f - 3*f. List the prime factors of h(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 300*s - 607. Calculate m(102).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2 - 23*u + 3. Let x(a) = 30*a**2 + 48*a - 8. Let o(c) = -13*n(c) - 6*x(c). Let f(d) = 3*d**2 + 17*d + 14. Give -5*f(k) + 8*o(k).\nAnswer: k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-348)\/(-10))*((-36487)\/22165 - (-18)\/(-117))\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 16444 = 2*q - 16452, -2*q - 4 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3 - 1) + 8 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 7. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*o**4*t**3 - 12*o**4 + o*t**2 - 377*t**3 wrt o?\nAnswer: 540*o**2*t**3 - 144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxgxxgxgggggxgxg. Give prob of sequence xx.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18617, 37654, 56691, 75728, 94765, 113802?\nAnswer: 132839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722878 is divided by 307.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {m: 2, w: 1, c: 5, q: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) + (-36)\/54. Solve -5*b - 35 = -r*x - 2*x, 5*x - 4*b - 33 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -3\/2*z**5 - 84*z + 0 - 1\/6*z**6 - 25\/3*z**3 - 5*z**4 - 15\/2*z**2. Factor p(w).\nAnswer: -5*(w + 1)**3*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2240.9355641 and 10.\nAnswer: 2250.9355641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnnxlwnuunlc. Give prob of sequence lcx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 72 = 4*t, 5*z + 4*t = 4*z + 72. Suppose -z = -9*c + 15*c. Let n be (-95)\/60*-34 - 2\/c. Is n at least 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74, -227, -554, -1145, -2090, -3479, -5402?\n\"Answer: -15*o**3 + 3*o**2 - 57*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/7257198 and 32\/8466731?\nAnswer: 50800386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 4*z - 23232462 + 23232259 - 3*z**2 as u*z + i + l*z**2 and give i.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 492.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/30 - 5*l**4\/12 + 5*l**3\/6 - l**2 + 183. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - d74e?\nAnswer: -d74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327 + -317. Solve -4*h + b = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52853905 by 4.\nAnswer: 52853905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37454 + 37464. Let g = 7 + -7. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 34*s**2 - 362*s - 1095. What is l(-3)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -989 - -989.3. Which is the biggest value? (a) -3 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*c - 22, -5*c + 2*p = -3*p - 10. Sort 1, c, 0, -1.\nAnswer: c, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(468) + (-3 + sqrt(468))*-4))**2 + 4.\nAnswer: -17420 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/105 - 19*l**5\/30 + 5*l**4\/2 + 369*l**2. Determine n, given that m(n) = 0.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252722 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and 464.7.\nAnswer: -1951.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 27*f**2 - 12*f**2)*(f + f - 3*f).\nAnswer: -15*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/1827 and -31\/87.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101 - -1011?\nAnswer: 11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 14.9. Let m = 3977 - 3975. Sort m, 4, k in ascending order.\nAnswer: k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10382 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: What is the remainder when 1035 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**5*u)*u*u)\/u**(2\/29)*u*u*u**(-3\/7)*(u*u**16)\/u assuming u is positive.\nAnswer: u**(2944\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - 4*f. Let g(d) = -d**3 + 4*d**2 - 3*d. Suppose 201*h - 193*h = -32. Determine h*g(t) + 3*c(t).\nAnswer: 4*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.7.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427*c*l**2*p*w**3 + 2*c*l**2*w**2 + 9*c*l + 3*l**2*p*w**3 - 9*l**2*w - 7*l*p*w**2 - l*p wrt w.\nAnswer: -2562*c*l**2*p + 18*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 2*o - 2. Let c(s) be the third derivative of s**6\/120 + s**5\/12 + 5*s**4\/24 - 2*s**3\/3 - 2*s**2 - 12. Determine 2*c(m) - 5*k(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -18757?\nAnswer: -18756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4746, 4747, 4748?\n\"Answer: p + 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - o - 3. Let n(f) = 5*f**2 + f + 2. Determine 4*n(d) + 3*r(d).\nAnswer: 8*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -76*c - 375. Calculate the remainder when m(-6) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7*t = -15. Suppose 4*k = -3*b + t, -3*k + b = 3*b - 11. Let y be (3 - 52\/24)*6. Solve -v + y = k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 5*t + 14, -202*t = -3*k - 199*t + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 - 9*m + 20. Let z be i(8). Suppose 10*r - 7*r = -4*v + 21, -z = r - 5*v. Solve r*t - 3*d + 6 = 0, t + 0 = 3*d - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2. Let t be q(-1). Let r = -5 - t. Suppose -5*v + 17 = -4*z, z + z - 4*v + 16 = r. Solve d + z*u - 8 = 0, -4 + 2 = 2*d - 5*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80381 and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 12*n + 8. Let p = -7 + -7. Let j be i(p). Let f be 7 + (j\/(-3))\/4. Solve f*k + 9 + 11 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 - -200. Suppose 209*a - 217*a + 992 = 0. Suppose -5*w + 4*r = -a, 0 = 2*r + 2. What is the remainder when s is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*n**2 - 16\/3*n + 0 = 0. Calculate n.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613037659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*a + 5330 = -35*a + 29402. What is the highest common divisor of 366 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 7. Let n(r) = -r**3 - 5*r**2 - 2*r - 1. Let k be n(-4). Let q be z(k). Let h be 0*2*(-2)\/8. Solve h = -y - q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 192 = -3*d + 7*d, -2*n + 198 = -2*d. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**3\/2 - 7*n**2 - 9*n. Calculate the lowest common multiple of 3 and m(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 1. Suppose 10*o = n*o + 35. Suppose 13 = 2*w - o. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 40 = 5*o - 0*i, -3*i = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1761376 and 4788?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/75, 1\/12192, 4 in decreasing order.\nAnswer: 4, 1\/75, 1\/12192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/7056 and -29\/416.\nAnswer: 183456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/8 - 8421*p\/2 - 70913241\/2 = 0. What is p?\nAnswer: -16842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 202276*g\/5 - 34732304\/5.\nAnswer: -2*(g - 100966)*(g - 172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, f: 1, b: 1, w: 3, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 317. Let s(i) = -2*i**2. What is s(k(d))?\nAnswer: -8*d**4 - 2536*d**2 - 200978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62340466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 32.1 (b) 37 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqle. Give prob of sequence qe.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.2 + -39. Let c = l + 3.3. What is the second smallest value in c, 0.1, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7143 = -537*q + 89*q - 3161 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61681.\nAnswer: 61681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let l(k) = -k - 4. Let w = -6 - -7. Let j(g) = 1 - 5 + w + 2. Let d(n) = -4*j(n) + l(n). Determine d(t(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1377) + (sqrt(1377) - ((sqrt(1377) - sqrt(1377)*3) + sqrt(1377))) + -5 + (sqrt(153) - (sqrt(153) - (5*(sqrt(153) + 0 + sqrt(153)))**2)).\nAnswer: 27*sqrt(17) + 15299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 23*n**2 - 12*n + 4. Let p(j) = 3*j + 1. Calculate 3*p(d) - x(d).\nAnswer: -23*d**2 + 21*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20954.874 months?\nAnswer: 174.62395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1047 + 1049. Does 4 divide (899 - -7)\/6 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f0e5a (base 16) to base 7.\nAnswer: 35132602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 - 32*j - 279. Let u be b(11). What is the highest common factor of u and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 - 4. Let z(v) = 2*v**3 - 13*v**2 - 9. Calculate -9*q(d) + 4*z(d).\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (8 + -1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5942, 18, 5, 2 in descending order.\nAnswer: 18, 5, 4, 2, -1, -5942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69811 + 2.\nAnswer: 69813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 4*o**3\/3 + 3*o**2\/2 - 2*o. Let y be p(6). Suppose 2*m - 6 = -4*c + 14, -4*m + 3*c + y = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i)\/(i**(-5)\/i))**(-17\/6) assuming i is positive.\nAnswer: i**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*h - q + 6, -2*q = 6. Let t(k) = k + 1. Let c be t(3). Let l(f) = -3*f - 14. Let g be l(-6). Solve 2*d - c*j = h, g*d + d - 3*j = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/((-40)\/16200) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 + 123. Is k\/35 - 300332\/60*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61311 (base 7) in base 5?\nAnswer: 434104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -67, -100, -133, -166?\n\"Answer: -33*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29 + -1)\/(1\/16). Suppose -5*d + 553 = -n, 7*d - 2*n = 11*d - t. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1924555\nAnswer: 769822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h. Let k(g) = 4*g**2 - 5*g**2 + 5*g**2 + 2*g**2. Give o(k(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let w(c) = 3*c - 12. Let h be w(6). Suppose -4 = 7*g - h*g. Sort j, g, 2 in increasing order.\nAnswer: g, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 3. Suppose h*i = -2*i + 10. Suppose 17 = -i*g + 43. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 58207610*k**2\/3 + 47057306871424*k + 15685766801304.\nAnswer: 2*(k + 4850634)**2*(3*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in ninety-one quarters of a kilometer?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*g**3 + 293*g**3 + 6 - 7.\nAnswer: -19*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 17. Solve 4 = 4*m - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-9)\/2. Let g be 3 + (-4 - 0) - -38. Let h = g + -73\/2. Sort m, -0.3, h in decreasing order.\nAnswer: m, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h. Suppose 2*a + 411 = 4*k - 439, 635 = 3*k - 4*a. Let g(c) = c + k*c**2 - 209*c**2 - c. Give g(t(x)).\nAnswer: 576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/167 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*75663184\nAnswer: 151326368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 3, m: 1, a: 2, r: 12}. Give prob of picking 1 m and 1 b.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 25. Let z = 10 - v. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/22351 and 38\/1133.\nAnswer: 245861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422668135 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -351425 >= -351424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:40 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c - v + 6*v, 0 = -v + 1. Solve 0*h - 2*h - 10 = -3*s, c*h = -4*s - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -64 + (30 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i - 18 - 178 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) - (((sqrt(297) + (sqrt(297) + sqrt(297)*1 + sqrt(297) - sqrt(297)) - sqrt(297)) + sqrt(297))*2 + sqrt(297)))\/sqrt(9)*2)\/(-2*sqrt(396)*3*1).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90888\/2 - (-8)\/(-4). Suppose -u = 4*g + 354558. Let t be (25 - (1 + -2))*g. What is t rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1437771*-2.\nAnswer: 2875542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/20)\/(-6) - 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Calculate 1 divided by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*q + 1 = -18, 0 = -4*j - 3*q - 11. Let a = 13 + -70. Let b be a\/(-665) + (-4)\/14. Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 2. Let x(d) = 13*d - 1911. What is -4*a(m) - x(m)?\nAnswer: 3*m + 1919","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/24)\/((-10)\/(-12)) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -855098 + 3?\nAnswer: -855095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14504 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 757668253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1556*w + 1556*w + w**3 + 3 + w**2. Let o be k(0). Let g be (-6)\/o + -1 + -1. Which is the fourth biggest value? (a) -4\/5 (b) -0.4 (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 7622.3?\nAnswer: -7622.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 422*f**2 + 1471*f - 1455236 wrt f.\nAnswer: 844*f + 1471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3162519 is divided by 447.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4990*u**2. Let r(w) = -3753*w. Determine b(r(m)).\nAnswer: 70284194910*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -47 and -10933184855954.\nAnswer: -10933184856001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v - 4*v**2 + 12*v**2 - 24*v - 10*v**2. Let j(b) be the second derivative of 2*b**3\/3 + 2*b. Determine q(j(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 265147696.\nAnswer: 1\/132573848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/442281 - 14742526\/38478447. Let t = 15530\/20097 + v. Let b = t - 9\/11. Sort -2\/21, b, 0.5 in decreasing order.\nAnswer: 0.5, -2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, -3 in decreasing order.\nAnswer: 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = 6. Let v be 1 - z - 2 - 1. Sort v, -1\/2, 2 in descending order.\nAnswer: 2, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 759047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91716\/7 + 13103. Factor -y*q**2 - 3\/7*q**3 + 4\/7*q + 4\/7.\nAnswer: -(q - 1)*(q + 2)*(3*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 39*p = 4*p - 6, -i + 7*p - 20 = 5*p for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.3? (a) 0.3 (b) -1\/3 (c) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1245 and 39129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.2 + 4.8. Let z = -849.999 + 871. Let v = z - c. Round v to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22. Let h = 31 - 36. Let g(q) = q + 44. Let z(w) = h*f(w) + 3*g(w). Let a be z(-9). What is the smallest value in a, -2\/9, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 11. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 60 = 4*d. Sort -0.1, 5, 2, d in descending order.\nAnswer: d, 5, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28526*t**4 + 22*t**2 - 34*t - 2.\nAnswer: -684624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 30*u - 26. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:02 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2991, -82 in increasing order.\nAnswer: -2991, -82, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 - 1122?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8*-3*24. Let i = 13 - u. Let y(m) = m**3 + 4*m**2 - 4*m + 7. Let v be y(i). Solve a = v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 2, l: 1}. Give prob of sequence xtlx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5142 divided by -4\nAnswer: 2571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 26*a = m + 11, -m = 3*a + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*r - 736226 = 1387597. List the prime factors of r.\nAnswer: 3, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2818*p + 2827*p - 67491. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12013.\nAnswer: 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - 5) + (-8 - -13) + 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - -5 - 2 - (-2 - 5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*q + 73 = 0, 4*x - 116 = -15*q + 13*q. Solve t - x = -29 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 28*f**2 + 36*f**2 - 66*f**2 to q*f + l + u*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2549, 2537, 2525, 2513?\nAnswer: 2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:57 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 6*w**5\/5 + 17*w**4\/8 + 2387*w**3\/6 + 789*w**2 + 6. What is the first derivative of d(p) wrt p?\nAnswer: 144*p + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13811 is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 684. Let s(c) = -c. Calculate s(r(u)).\nAnswer: -7*u - 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 - 42*i - 6. Let m be s(-7). Let n(v) = -v**2 - 6*v - 9. Suppose -3*c - 15 = -0*c. Let r(h) = h**2 + 5*h + 8. Determine c*n(x) + m*r(x).\nAnswer: -x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j - 7. Let r be b(-7). Suppose r = x - 5*x. Suppose -3*h - 2*h - 1100000 = x. Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -104 (b) 0.01 (c) 10261 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 1144 - 415. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2\/2 - 18*q + 1. Let l be m(0). Let b be (3\/6)\/((-1)\/l). Calculate the greatest common divisor of 72 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21122002211 (base 3) to base 7\nAnswer: -1164022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2303 - -3301300?\nAnswer: 3310203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g - 6. Let h be c(4). Let u be 1 + 0*(-2)\/h. Let m(w) = 11*w**2 - w. Calculate the remainder when 18 is divided by m(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o - 1. Let l(a) = 68*a + 10. Let s(d) = l(d) + 14*w(d). Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4031112002?\nAnswer: 4031111666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 577677321 divided by 75543?\nAnswer: 7647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 17*j - 2*j)*(-2*j - 3*j + 2*j)*(1 + 2 + 0 + (3 - 4 - 1)*(1 + 1 - 3) - 2 + 5 - 2 + (5 + 0 - 4)*(-1 + 0 + 2) - 1 + 3 - 4 - 1 + 1 + 1).\nAnswer: 486*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27794, -9, 1.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let x = 2 - f. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(sqrt(55) - 2*sqrt(55)) - sqrt(55)))\/((sqrt(385)\/(-2*sqrt(7) + sqrt(7)))\/sqrt(11)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:14 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195\/7 - -28. Put 0.3, 4, -0.4, q in decreasing order.\nAnswer: 4, 0.3, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 1 = -5*c + 5*b, -5*c + b = -29. Let o = 4 - -1. Suppose o*k - 20 - 5 = 5*p, -2*p - 28 = -5*k. Solve 2*t - 3*i + 15 = c*t, -2*i = -k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26162492 to the power of 1\/2, to the nearest integer?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*z + 22263, p = z - 1112 + 8533. What are the prime factors of p?\nAnswer: 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(1 - 5\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/5, 2\/5663, 0.2, 1?\nAnswer: 2\/5663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 195*k**4 + 192*k**3.\nAnswer: 3*k**3*(k + 1)*(k + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(44 - 55)\/(-176). Factor n + 8\/7*p**3 + 2*p**2 - 4\/7*p.\nAnswer: 2*p*(p + 2)*(4*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:39 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 103?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + x + 3. Let m be r(0). Let j(w) = w**m + 0*w**3 + 4 - 4*w**2 - 5*w + 5*w + w. What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -749.5 plus -12?\nAnswer: -761.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379330 at most as big as 7379330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = 4*x + 63, -3*v + 4*x = -197. Suppose 1 = p - 69. Let m = p - v. Calculate the smallest common multiple of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uktuuuuukuukuuu. What is prob of picking 2 u and 2 k?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89755391 by 425381.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1577 and 39\/664.\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(17*84\/(-2142))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - -60. Suppose 6*n - 64 = k. Let f(z) = 11*z + 7. Calculate the remainder when f(8) is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*i**2 - 84\/5*i - 882\/5.\nAnswer: -2*(i + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(8\/84). Let o be (-6)\/(-18) + (-2)\/(-3). Does 9 divide ((-54)\/i)\/(o\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/350 and 113\/112.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*((sqrt(77)*2)\/sqrt(7) + sqrt(11) + -4).\nAnswer: -144 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(4\/40). Suppose 0 = -0*m + k*m - f - 24, -2*m = 2*f - 12. What is the third derivative of -3*r**m + 2*r**2 - 2*r**5 - 6*r**2 + r**5 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 1439.\nAnswer: -28.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Suppose -332 = -6*w - 344. Sort w, r, -1 in increasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 2*p - 1. Let c be m(2). Let b = -18693 - -18710. Solve u + b = -3*f, 5*u + 4*f = c*f - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -39, 4 in increasing order.\nAnswer: -39, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76487000 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/7)\/(4\/28). Suppose -y*w - 3*w + 55 = 3*i, -2*w = 2*i - 26. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500097006?\nAnswer: 2, 3, 27783167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/120 - 3*c**5\/20 + 5*c**4\/12 + c**3\/2 - 7*c**2. Let l be i(-10). Solve 0 = -0*n - l*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.35.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1666 - 526*h - 1061*h + 3747 + 361*h + 5522 with respect to h.\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222.9596 - -223. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -3.6\nAnswer: -0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 90738\/139, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1923810 (base 11) to base 8\nAnswer: 14325752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -247*h - 15. Let q(j) = -246*j - 13. Give -6*i(z) + 7*q(z).\nAnswer: -240*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/140 and 61\/3515036.\nAnswer: 17575180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 11*d + 1. Let j be n(10). Let v be (4\/5)\/(4\/60). Let m = v - j. Which is smaller: m or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124021 by 1042.\nAnswer: -124021\/1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 1, p: 3, q: 3, s: 3, y: 1}. Give prob of sequence qly.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83923 and 1596.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnni when four letters picked without replacement from mgmnnmvingdvnnn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918495 a multiple of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80109+-5\nAnswer: 80104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 850604 - 7295.\nAnswer: 843309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/31 in 0.2, 21, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947 is divided by 121?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 15 + 9 + 3*g.\nAnswer: 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 20. Let w be r(-11). Let d(x) = 5*x + 2. Let q(v) = -4*v - 2. Let h(s) = -3*d(s) - 4*q(s). What is h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/(1 - 2). Which is smaller: 2\/83 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -149*f - 2. Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 plus -247798.721?\nAnswer: -247793.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 + -258.004. What is s rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 - 7*l - 2. What is u(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6274 + -6220. What is the remainder when 1233 is divided by r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owwiwrwwwwwwwwwordjw. Give prob of sequence wrr.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39248 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(35\/(-28)*4*(-2)\/20)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 41. Let a be ((-24)\/(-14))\/((d\/(-182))\/(-1)). What are the prime factors of a\/9 + (-2)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55068 is divided by 7866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8027 = -350*x + 262*x - 1867 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 233.70351276 to 0 dps.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -338, -770, -1386, -2192, -3194, -4398?\n\"Answer: -z**3 - 83*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*f + 42 = 0, 0*k - k + 5*f + 3 = 0. Suppose -2*v + 4*v = -24. Let h = 32 + v. What is the lowest common multiple of k and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82974799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/15)*s**(-4\/13)\/s*s)\/(s\/s**10*s**(-19)*s) assuming s is positive.\nAnswer: s**(5257\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168900960 a multiple of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23363805 is divided by 77.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, a: 9}. What is prob of picking 3 p?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.41 less than or equal to -3316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, d: 4, c: 6, t: 1}. Give prob of picking 2 c and 1 u.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13380 + -9865. Calculate the greatest common factor of 1295 and f.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/21*4\/66*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -1 + 1 + (-4 + (1 + sqrt(176) - sqrt(176)) - sqrt(176)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:40 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 6*r - 6. Let b(s) = s - 1. Let v(t) = -6*b(t) + q(t). Let k(h) = -3*h**2. Let u(z) = -6*z**2. Let n(a) = 9*k(a) - 4*u(a). Give v(n(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*d - 9*d - 7*d + 32*d + 152*d.\nAnswer: 680*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1258\/16059 - 22\/303. Let k = 118 - 119. Is k > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*k = -77*k - 39*k - 1736 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 - 5*g + 2. Let p be o(5). Suppose -3*x - l + 29 = 0, -4*l - 26 = -3*x - 8*l. Sort x, p, -1 in increasing order.\nAnswer: -1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94.1815 * -1.\nAnswer: 94.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -2 - (-192)\/(-9). Let t be 4\/8*(-2 - -38). Let g = t + k. Are -2 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072672497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3, 0 = 4*i + 3*d - 6*d - 11. Suppose 4*q - 31 = l - 4*l, 0 = 2*l - 3*q + 2. Suppose l = g + i. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 4*i**2 + 4*i**2)*(0*i + 0*i + 4*i - 1).\nAnswer: 4*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z. Let y(f) be the first derivative of -2*f**3 + 16. Calculate r(y(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjvjwwjwvowworjj. What is prob of sequence oroo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**3 - 2*p**2 - 3*p. Let n(q) = 20*q**3 - 6*q**2 - 9*q. Let k(c) = -17*a(c) + 6*n(c). Let m = -2876 + 2874. Give k(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/3))**29\/((i\/(i*i**0)*i)\/i)**0 assuming i is positive.\nAnswer: i**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281170 is divided by 31239.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 252*x + 6040. What is the hundreds digit of l(131)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352 = -7*l - 540. Suppose 117*m = l*m - 17. Let p(h) = -h**2 - 2*h - 3. Let z be p(3). Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 19*s + 24. Let u(t) = 3*t**2 + 78*t - 96. Let i(p) = 15*l(p) + 4*u(p). Suppose i(o) = 0. What is o?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from xxxxxxzxzxxxzxxxxxzx.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 9*w + 19. Let b be a(-7). Suppose 11 = b*x - 4. Find the second derivative of -o**3 - o**3 + 5*o - 12*o**3 - o**x wrt o.\nAnswer: -90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3213 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 - 14450*j - 28896 = 0.\nAnswer: -14448, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + 13*w**2 + 7*w - 4. Suppose -28*b - 16*b - 1198 + 626 = 0. Let n(c) = 2*c**3 - 6*c**2 - 3*c + 2. Give b*n(g) - 6*o(g).\nAnswer: -2*g**3 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29421.\nAnswer: 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3170459 is divided by 1225?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*u + 17 = 2*u, -4*l = -5*u - 110. Let k = -20 + l. Let s be 1*-3*k*-1. Solve -z = -5*o + 3*z + 17, -5*z = -5*o + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + 5*l + 48. Let s be z(3). What is the greatest common factor of s and 3177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 11*b - 9. What is the lowest common multiple of t(-10) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 320 = -64. Let v = -58 + x. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223428 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 216 = 5*o. What is the greatest common factor of o and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653?\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9755433 + -0.84?\nAnswer: -9755433.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49514108.\nAnswer: 2, 7, 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2800\/5250)\/((6804\/(-90))\/(-21)).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 0)**2 + (sqrt(63)\/sqrt(9))**2 + 3 - (sqrt(1792) - (sqrt(1792) - (1 + sqrt(1792)))*4)**2.\nAnswer: -1756 - 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -7082\nAnswer: -347018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9504 + -5569. Let m be (z + 0)*(-18)\/(-675). Let v = -683\/6 + m. Calculate the common denominator of v and -33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 338*z + 152. Let b be w(-8). Is 44 a factor of (b\/203)\/(2\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1131.46032 + 1097.46. Let q = k + 34. Round q to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + -1 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2867*f = -2970*f - 1339 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -9, -11, -4 in decreasing order.\nAnswer: 1, -4, -7, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079825 to 3 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-3 + 15\/9)*-3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22453 - 11459 = -1202*k - 11074 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 1. Let q be s(-1). Let l be (-11*108\/1584)\/((-1)\/4). Solve 3*j - v - 1 = q, 3*v = -l*j + v - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 48 = -5*l, -m - 3*l = 2*l + 12. Let i = m + 8. Let s = -1.9 + 1.5. Which is the third biggest value? (a) -1\/5 (b) 0.14 (c) i (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4*905\/20)\/(0 + -1). Suppose 0 = -2*m - t + 360, -4*t = -2*m + 179 + j. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 278\/(-8) + ((-2)\/(-2))\/(-4). Let z be 10\/k + 23\/(-42). Suppose -2 = 2*q - 0*q. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (6 - (1 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300\/7 at most 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82192 and 67248.\nAnswer: 739728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/2*45\/18. Which is the nearest to 4\/3? (a) 1\/3 (b) -2 (c) h (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)\/((((p\/p**1*p*p)\/p)\/p)\/p)*p**(-7)\/p**(-8))**27 assuming p is positive.\nAnswer: p**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = -11. Let c be 6 - (-2*(1 - 2) - z). Find the third derivative of -4*v**c + 3*v**4 + 4*v**3 - 11*v**2 + 3*v**4 wrt v.\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 divided by -2\nAnswer: -211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(-2*s**2 - 6 + 6) - 20*s**2 + 38*s + 21*s**2 - 67*s.\nAnswer: 13*s**2 - 29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9017247 is divided by 3005744?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, i: 1, g: 2, q: 2}. What is prob of sequence zg?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + 144635?\nAnswer: 144687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23557467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1395145 and -0.19?\nAnswer: 0.026507755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*u + 163*u - 20. Let j be (-6)\/3*3\/(-2). Suppose p = -4*k - 8, -11 = -0*k - j*k - 5*p. Sort k, u, 1 in ascending order.\nAnswer: k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 - 4*k + 1. Suppose -11 = -4*r + 9. Calculate the smallest common multiple of 2 and h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 438347.3 millilitres?\nAnswer: 438.3473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:56 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64783 or 62348?\nAnswer: 64783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462 = 42*v + 832 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7. Let n(y) = -47*y + 74. Determine -6*a(t) - n(t).\nAnswer: 47*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76429 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118432898?\nAnswer: 2, 59216449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 3741064?\nAnswer: -3741061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/19 in 5, 1\/4, 222, -37?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(325) + sqrt(325) + 3 + 2)**2*5.\nAnswer: -26980 - 2800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -277, -374, -401, -334, -149, 178?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h - 296 = 1174 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hhrxxhhttrrhtrthtxh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*c - 4*c - 2 = 0, 0 = 3*f + 5*c. Let n = 6 + f. Let z = 415\/7 + -59. Is n >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 11*h + 16. Let s(m) = -m**2 + 2*m - 4. What is 6*o(z) + 26*s(z)?\nAnswer: -2*z**2 - 14*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/204)\/(55\/(43010\/92)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*f**2 + 40*f**2 + 49*f**2 + 1 - 1.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h**2 - 2672*h + 10778. Calculate x(4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165*d**5*x - 769*d**3*x + 35*d**3 + 2008085*d**2 - d*x wrt d.\nAnswer: 9900*d**2*x - 4614*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3401, 10955, 31457, 71381, 137201, 235391, 372425, 554777?\n\"Answer: 1079*u**3 + u + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1704 + 82?\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30459463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/(11\/(-33))*(-6)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2639*m**3 + 2*m**2 + 2*m - 1. Is x(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 26. Solve 4*o + u = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 3799165396044.\nAnswer: 3799165396044.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121441047?\nAnswer: 3, 7, 13, 17, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -2*n + r + 28, 20*n = n + 2*n - 2*r + 14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + 90\/8. Suppose 0 = 3*t - 2*t - f. Let y = t - 2. Calculate the highest common divisor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60618853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 154. Let b = 2448 + -2450. Let d(c) = -c + 31. What is b*i(k) - 11*d(k)?\nAnswer: -k - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*y - 21, 1 = 5*y + 11. Suppose -5*b + 13*b + 0*b = 0. Suppose -p + 3 = b, -h = l*h - p - 69. What is the lowest common multiple of h and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4471\/789)\/(4\/(-12)). Let p = 23\/6 - 55\/12. What is the nearest to g in p, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631 or -4293?\nAnswer: -4293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(475) - (sqrt(475) - sqrt(475)*-5)))**2 + sqrt(475) + -1*(-4 + sqrt(475)).\nAnswer: 106879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 - 21*x + 20. Determine v(7).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 86 = -c - 14, 3 = s + 4*c. Let i = s - 4. Suppose b - i = -10. Solve -b*n = 3*a, 2*n - 2*a = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:30 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*j + 5*y + 23 = -576*j, 6*j + 1 = 3*j + 2*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 547 - 528. Solve s = -11*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -32*v - 69. Let k(s) = 190*s + 408. Give -2*k(i) - 13*l(i).\nAnswer: 36*i + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013752554 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-512)\/40 + 14)\/((-6)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 1390*b**2 - 43560*b.\nAnswer: -5*b*(b - 242)*(b - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyycdycccccycyyyyccb. What is prob of picking 1 y, 1 b, and 1 c?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from dlxdlxlddlll.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -692*c**4 + 1186788*c**3 - 507060804*c**2 - 1525979140*c + 17709144 = 0.\nAnswer: -3, 2\/173, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5533 is divided by 499.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 4 in increasing order.\nAnswer: -9, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 9*d**2 - 5*d + 9. Let y be g(-6). Suppose -y = -7*b + 4*b. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-304))\/(188\/(-33934))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = 3*y - 362, -3*y - 5*m + 398 = 0. Find the common denominator of (6\/4)\/((y\/(-208))\/(-7)) and (-2)\/(-8) - (-201)\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**3 + 9106893*z**2 - 22922933*z wrt z?\nAnswer: -6*z + 18213786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 155 = 5*b, y = -3*b - y + 68. Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*n - 67, 4*g - 2*n - 64 = -238. Let h(b) = b**3 + 5*b**2 + b + 2. Let d = 10 - 16. Let k be h(d). Is g > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -1905 (c) -12 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6654)\/(-40))\/(7587\/6). Let n = b - -1\/562. What is the nearest to 0.1 in n, 2, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 3*r + 111 = 0, 241978*i - 241977*i + 4*r + 148 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 104787756 divided by 2\nAnswer: 52393878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -40*k - 4. Let t(b) = -216 + 445 - 229 + k*b**2. Let u(g) = 631*g. Determine u(t(x)).\nAnswer: 1262*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 18. Let p = 64 + n. Let y = -81\/46 - -6\/23. Is p >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eevexvvxe. Give prob of sequence evvx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 3\/2*a**3 + 0 + a**2 - 5*a. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from xhhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791322 = 58*v - 10760. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + l + 3. Let v be b(0). Let a(g) = g**3 + 13*g**2 - 230*g + 720. Let w be a(5). Solve -v*m - w = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 255583778.\nAnswer: 2811421558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6262 times -1.26?\nAnswer: -0.789012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06252 + -1.93748. Which is the nearest to u? (a) -1\/12 (b) -1\/5 (c) -1\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7803\/(-85))\/17*-5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100985 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 + 17*c + 95. What is the remainder when 504 is divided by m(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 18*x**2 + 41*x - 12. Let w be n(20). Let s(m) = 2*m**3 - 14*m**2 - 14*m - 16. Let r be s(w). Suppose 10 = 4*k - 2. Solve k*o + o = r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-15))\/(276\/285). Let a = l - 4\/207. Find the common denominator of 89\/4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9))**(-2\/53)\/(a**(-4))**40 assuming a is positive.\nAnswer: a**(8498\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/27 - 23\/54. Let o be ((-5)\/(-10))\/1*-4. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q. Let h(l) = -33*l**2 + 17*l**2 - 55*l**2 + 9*l**2 - l. Calculate h(w(k)).\nAnswer: -992*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000569 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489 or -9\/11?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-212598)\/(-651))\/18 - 10.\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.1764972 minutes in weeks?\nAnswer: 0.0053746525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3\/5 - 2588*f**2\/5 - 10416*f\/5 = 0. What is f?\nAnswer: -4, 0, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 1, w: 4, b: 2, f: 1, e: 2}. What is prob of picking 1 b, 1 f, and 1 y?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffyffyffyf. What is prob of sequence yfyy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 3*q + 1, 0 = 2*m - 4*q - 8. Suppose -3*p + m = -h, -3*p + 103 - 11 = -4*h. Is h greater than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 5*b)*(-b**4 + 4*b**4 + 8*b**4).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -7)*(15 - (-9 + 3360\/165))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23*t**3 + t**2 + 4*t - 6. Let g be (15\/(-9))\/((55\/6)\/(-11)). Does 38 divide f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 + 67. Solve -7*v - 2*l + g = -2*v, l = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 11. Let q(w) = w + 1. Let b be ((-7)\/4)\/(1\/(-8)). Let y(p) = b*q(p) + 2*s(p). Is y(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 9. Let q be p(4). Sort q, -2, -4 in descending order.\nAnswer: -2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 20*b - 4*b + 3*b as l + k*b and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1036354, -1036492, -1036630, -1036768?\n\"Answer: -138*x - 1036216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 39*r**2. Let h be q(1). Let m be h\/(-9) - 3\/(-9). Suppose 2*v = -0*v + 4. What is the closest to -2\/7 in m, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-105) + (-2)\/7. Suppose i = -9*j + 145 + 215. Let r = 30 - j. Does -11 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3*(-4)\/(-8). Solve -2*b + 5*b = l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i - 23*i = -384 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5724.175687 + 5724.2. What is v rounded to 4 decimal places?\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 1\/6 (b) -0.01 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -3, 4, -5, 2 in decreasing order.\nAnswer: 34, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*s = 54, -2*n - 5*s + 8 + 2 = 0. Let t = 53 - 33. Let h = t - n. 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: Four letters picked without replacement from lqklfqfgyykyll. Give prob of sequence lglk.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-12\/5)\/b)\/b)\/(b*b**(-6\/17)) assuming b is positive.\nAnswer: b**(-259\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63318.\nAnswer: 2, 3, 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Solve t*w - 2*a = -a - 12, 0 = w - 4*a + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3474 divided by -1.\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3 - (54 + 14436\/(-270))) + (-119)\/180?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*v - 179, 3*h = -2*h + 3*v + 861. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 23. Calculate the common denominator of 65\/4 and (28\/222)\/(1\/m).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -504, -511, -522, -537?\n\"Answer: -2*y**2 - y - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u + 5*s, 4*u - 48 = 81*s - 85*s. Suppose -p = 3*w - 95, -2*w - 115 = -5*w - 5*p. Suppose w = -0*g + u*g. Solve 4 + 1 = g*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad54 (base 15) to base 10.\nAnswer: -36754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8867 * -0.4\nAnswer: -3546.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/12 + 3*j**3\/2 + j**2 - 3*j - 2. Let l(c) be the first derivative of k(c). Let q be l(-8). Round q to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 0*q + 0*q**4 + 0*q**2 + 0*q**6 + 28\/3*q**3 + 29 + 0*q**5 - 20\/7*q**7. What is the third derivative of p(z) wrt z?\nAnswer: -2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -f + 5*f. Suppose f*q = 21 - 1. Let z(s) = 28*s - 1. Let j(m) = 10*m. Let t(v) = -11*j(v) + 4*z(v). Determine t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060\/49 less than or equal to 388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 2*z - z. Let g(u) be the third derivative of 0*u**3 + 8*u**2 - 1\/8*u**4 + 0 + 0*u. Give d(g(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 44459?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 19*v + 80. What is o(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -10bc2?\nAnswer: -10ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((195\/(-15))\/13)\/((-65)\/(-20))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1. Let g(w) = 3*w**2 + 4*w - 5. Let r(l) = 18*a(l) + 2*g(l). Let o = -1 - -4. Let h(i) = 1 + i + i**2 - 3*i + o*i. Calculate 8*h(c) - r(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**3 - 5*v**3 - 2*v**3)*(2*v + 0*v + 0*v + (0 + v + 0)*(-2 + 3 + 1) + 0*v - 4*v + 5*v) to y*v + m*v**4 + g*v**3 + b + k*v**2 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/188 and -85\/12358368?\nAnswer: 12358368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(4\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*n = 111, 3*n - 231 + 27 = -5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 28. Let f = 16 + x. Suppose 0 = 5*c + f*h - 265, -3*c + h = -c - 119. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/r)\/(r\/(r*r**(-15)*r*r)))\/(r**(-2\/3)\/r*r\/r**17) assuming r is positive.\nAnswer: r**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 339*o. Let f(k) = 15624*k**2 + 2*k. Calculate h(f(l)).\nAnswer: 5296536*l**2 + 678*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -3606995560.\nAnswer: -3606995561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 60 = 38*g. What is the tens digit of (-92)\/(-3)*g\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945245 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92.2 - 97.2. Suppose -10*n = -7*n - 15. Suppose g - 3*k = -1 - 2, -2*k - 15 = n*g. Which is the closest to 2? (a) 0.5 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.212 + -0.109. What is g rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 155.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 5\/(-15))*309 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 - 2933 = -8*n. Calculate the remainder when n is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77*(-14)\/(-196)*24\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 41, 44, 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13611 and 1873432?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17269.51 to the nearest one hundred.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasssasssss. Give prob of sequence aa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - 274*h + 85. Give m(17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2413 - -2291) + 22 + (1 - (0 + 0))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879.78 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 741423520.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-16 - (-2 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967446, 967457, 967482, 967527, 967598, 967701, 967842, 968027?\nAnswer: 968262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n - 36. Suppose 3*p = a - 2*p - 21, 2*a = -p + n. Let g = a - 5. Sort 2, g, -5.\nAnswer: -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*2*1*sqrt(102))\/(sqrt(294) + sqrt(294)*-2*2 - sqrt(294) - (sqrt(294) - -3*1*sqrt(294))))**2.\nAnswer: 17\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61059550*l**3 - 42815416*l**2.\nAnswer: 366357300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1358056 and -117\/280?\nAnswer: 6790280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1 - -1)\/(67\/174937). What is the tens digit of (3\/(42\/y))\/((-1)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177694 and 3129148.\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 258. Let n = -153 + g. Is n >= -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 43.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:20 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 4, x: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 4*h + h. Suppose 0 = -7*t + 4*t + 3. Let c(k) = 7*k + 1. Determine t*c(l) + 5*i(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142\/5 + (-18)\/45 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12301, -24605, -36909?\nAnswer: -49213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -21*975\/7875?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483096 and 69024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**3 - 3*w**2 - 3*w + 8. Determine s(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 66364*b - 5581623. Determine x(-84).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - -0.43. Let s = a + -0.9. Let o = 60 + -64. Sort -4\/5, o, s in ascending order.\nAnswer: o, -4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17886626*o - 9189101 wrt o?\nAnswer: -17886626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -13*h**7\/3 + 735*h**3\/2 + 863*h - 2. What is the second derivative of m(p) wrt p?\nAnswer: -3640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b + 17. Determine i(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1583841+87.9\nAnswer: -1583753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 2331 + 52 = 0. Is u bigger than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkofqfwo. Give prob of picking 1 k, 1 x, and 2 o.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/18)\/((-2)\/198). Suppose 0 = 4*z - z - m. Suppose z*r = 10*r + 7. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -772 - -776. Suppose -n + 0*j - 4*j = -1529, 0 = -5*n - b*j + 7661. List the prime factors of n.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 83 = 4*p - 238, -2*p = s - 157. Let i = 82 - p. Let l be (-12)\/(-2) + (-12 - i)\/5. Put 4, l, 2, -1 in descending order.\nAnswer: 4, l, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**4 - 1 + 1 + (4*k**2 - 3*k**2 - 2*k**2)*(-5 + 5 - k**2) - k**4 - k**4 + 5*k**4 + 0*k**4 + k**4 - 2*k**4 - 2*k**4 - 1 + 1.\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125))**2*5 + (2*sqrt(5))**2 + -3.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 100*u**5 + 1920*u**4 - 94884*u**3 - 220240*u**2 + 221232*u - 47232 = 0.\nAnswer: -41, -3, 2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 99*p**2 - 69*p - 195. Is 294 a factor of i(-97)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 4 (c) 1\/103 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (10 - 4) + 36\/12. Let 0 + 15\/2*b**2 + 9\/2*b - 3*b**g = 0. What is b?\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 9*c - 9. Calculate h(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -798.30801 less than -0.102?\nAnswer: 798.20601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-9))**(-1\/21))**(3\/5))**6)**(-7\/10) assuming y is positive.\nAnswer: y**(-27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6235 - 21aa3?\nAnswer: -1786a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - (-133)\/38. Suppose 9*m = 4*d + 5*m - 296, 0 = f*d - m - 296. Calculate the remainder when d is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + i**2 - i - 2. Let q be c(4). Let z = q - 40. Round z to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/7 + 16*r**4\/7 + 12*r**3\/7 - 50*r**2\/7 - 11*r - 30\/7 = 0.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 10 - 55. Let u be j\/(-21) + (-25)\/(-7). Let t = 1064 + -1049. Solve -5*b + 0 = -5*g + t, -4*g + 28 = u*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 5*h. Let l be (0 + h)*(-28)\/(-14). Solve -l*f = -f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 38*r + 32. Suppose 0 = 5*j - 2*w + 27379 + 21631, -4*j + r*w - 39220 = 0. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 + 44 = -35*k. What is the smallest common multiple of 160 and k?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328140*r**3 + 310417*r**3 + 17732*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3. Let x(s) = -s + 10. Let a be x(7). Suppose 0 = -2*g - 2, -3*c + a*g - 21 = c. Let u be m(c). Solve u*d = 4*h + 6, 1 + 4 = 5*d - 5*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o - 3. Let x be p(-14). Suppose 7*u - 2*g - 26 = 3*u, 0 = 3*u + 4*g - 47. Calculate the greatest common divisor of u and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(2\/31)\/g)))**(2\/5)*(g**(-2\/23))**(1\/73))**(2\/55) assuming g is positive.\nAnswer: g**(-195384\/14313475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, b: 1, x: 2, m: 3}. Give prob of picking 1 p, 2 m, and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 16, 3*q + 4*d - 83 - 120 = 0. Let l = q - -98. Calculate the remainder when l is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5680 and 69706096.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/111 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 284*x**2 - 229*x + 15199. What is y(-283)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 994*n + 1081*n - 2749 + 71224 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.013 and -45172.\nAnswer: -45171.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxygxiyyypiyxpyi. Give prob of picking 2 p and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 857206.5 hours in nanoseconds?\nAnswer: 3085943400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17*j**3 - j**2 - 16*j + 15. Let p(z) = 5*z**3 + 5*z - 5. Calculate 10*p(s) + 3*w(s).\nAnswer: -s**3 - 3*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**2 + 34*n - 20. Let t(m) = -3*m**2 + 11*m - 7. Let i(k) = -2*r(k) + 7*t(k). Let h be i(7). Let v = h + -5. Put 3, v, 5 in decreasing order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 - 3*w**2)*(-3*w**2 + w**2 - w**2 + (w + 0 + 0)*(2*w - 7*w - w)) - 4*w**3 + 4*w**3 + w**4.\nAnswer: -17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10381 + 30*x - 10381)*(4 - 5 - 4) to o + n*x and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -44, 45, 180, 367, 612, 921, 1300?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(272) - -3*sqrt(272)) + -1) + -5 + 1.\nAnswer: -48*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bocboocobbboo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 586*9 - (1\/(-7))\/(70\/(-490)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/7, -0.5, -4\/3, -9 in ascending order.\nAnswer: -9, -4\/3, -0.5, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 15, 0 in descending order.\nAnswer: 15, 14, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Suppose v*w = 4*w - 220. Suppose 0*n - 5*n + w = 0. Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 16.8, -4, -0.5, 0.07 in decreasing order.\nAnswer: 16.8, 0.07, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91.9 + -88. Let t = -1.1 - u. Let s = 2.9 + -3. Is s >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.04 (c) -2\/9 (d) 1924\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 9*y - 30. Let c be q(3). What is the highest common divisor of 147 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21174896.\nAnswer: 2, 1323431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*15851.87.\nAnswer: -6340.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18785285.\nAnswer: 5, 761, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 + 6 + 24*t**3.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rerr when four letters picked without replacement from eeeeeeerrer?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or -90?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let t be 1\/q - (-237)\/15. Let v = 72 - t. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - b)*(23 - 23 - b**2) + 250*b**2 - 142*b**3 - 250*b**2.\nAnswer: -141*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 18*h**2 - 13. Let k be t(-18). Is -13 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/((-1750)\/56)*(-1275)\/(-10). Solve 109*z - 42 = d*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 45*a - 2 + 1 + 61*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 2*k**4\/11 + k**3\/3 - k**2\/11 + 4*k + 11. Let l(w) be the first derivative of x(w). Suppose l(p) = 0. Calculate p.\nAnswer: -1, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:07 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0117584458 to six dps.\nAnswer: 0.011758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 1, k: 2, r: 2, x: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 572.710635 to 2 decimal places.\nAnswer: 572.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 282*x**4 - 2475*x**3 + 23268*x**2 + 113988*x + 119520 = 0. What is x?\nAnswer: -83, -15, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -569586, -571605, -574962, -579651, -585666, -593001, -601650?\n\"Answer: x**3 - 675*x**2 - x - 568911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.4 (b) 2\/3 (c) 5\/7 (d) -2413 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 511042200 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a - 2*r = 0, 3 = -r. What is the third derivative of -43*g + g**2 + 19*g + 19*g + 38*g**a + 0*g**2 wrt g?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*p = 3283 + 5252 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-20)*(142\/4 - -2). Suppose 3*s + z - c = 0, -3*z - 54 = -3*s - 2*z. Is s smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00166443 less than 5?\nAnswer: 5.00166443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3954 - -3990. Calculate the remainder when 1042 is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -383?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898772 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 394\/7. Let l(r) = 3*r**3 + r**2 + 2*r - 1. Let i be l(1). Which is the nearest to -2? (a) j (b) -3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (9 + 0 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 4, b: 1, q: 2, l: 1}. What is prob of picking 1 b and 2 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -2, 0, 3 in increasing order.\nAnswer: -2, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -l + 28. Solve 5*q = l*y - 30, 0 = y - 3*y - 4*q + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -506, -1137, -2020, -3155, -4542, -6181?\nAnswer: -8072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0, 6, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 21*t + 27*t - 82*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (557 - 276 - 280 - 26*u)*(-2 + 4 + 0).\nAnswer: -52*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 7696251608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 451\nAnswer: 1\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 - 29*k**2 + 18*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d. Let x(f) = -4*f**2 - 817344*f. Calculate k(x(l)).\nAnswer: 20*l**2 + 4086720*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 5. Suppose -2*m + 0*x - 7 = -x, 12 = -2*m - 4*x. Suppose -4*z - z + 65 = 0. What is the remainder when p(m) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115061915*1.\nAnswer: 115061915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*w - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -234, -626, -1284, -2274, -3662, -5514, -7896?\nAnswer: -10874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 17*z - 2*c - 5828, -5*c + 1446 = -z. Let d = -930 - z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3105\/225 + -5 - 8\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from lnqvulvqqqxu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.7724*2.\nAnswer: 7.5448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.3, 29.3, 2\/25, 0, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 69 = -44. Put 0, 1, y in ascending order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let a(o) = o**2 + 4*o + 2. Let k be a(-3). What is the units digit of 9 - (3 - j\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let y(p) be the first derivative of -p**6\/180 + p**3 - 3. Let x(n) be the third derivative of y(n). Calculate x(z(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33168, 33169, 33170, 33171?\n\"Answer: n + 33167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 2*j + 1. Let t(w) = -w. Let r = 4566 + -4567. Give r*p(y) - 6*t(y).\nAnswer: 3*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2193982 and 5524718?\nAnswer: 4678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86578715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 969 = -11*j. Let b(t) = -6*t - 32. Let i(f) = -2*f - 11. Determine j*i(y) - 6*b(y).\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165246.858 microseconds in weeks?\nAnswer: 0.000000273225625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 - -296. What is the lowest common multiple of o and 44?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*s + 90 - 5, 0 = j - 2*s + 29. Let g be 36\/j*2\/(-10). Let h = 1\/5 - g. Which is the nearest to -2\/9? (a) 5 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218897 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 220 = -29*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10.6, 0.81, -5?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1069, 1074, 1089, 1120, 1173?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - -70. Let f(j) = -j**2 + 19*j + 66. Let y be 130\/(-52)*72\/(-10). Let n be f(y). What is the greatest common factor of i and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1127 - -2) + -2 + -6 + 1.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + d - 4*d)*(4*d - 3*d + 0*d)*(5 + 0 - 1)*(d**2 + 0*d**2 - 3*d**2) in the form h*d + k*d**4 + w*d**2 + q + g*d**3 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 21*u + 54. Give a(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1244507, 1244519, 1244533, 1244549, 1244567, 1244587, 1244609?\nAnswer: 1244633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744724 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 0 - 98*q - 19 + 27*q - 64*q to the form m + l*q and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v + 145. Let d be x(-8). Let u(k) = -k + 6. Determine u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - j + 4*j)*(-33*j - 50*j + 2*j) in the form s*j + l*j**2 + a and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 17*i = -5*v + 551503, 0 = 3*v + 5*i - 330885. What is v rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 + -10.\nAnswer: -9.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*z + 54, -6*i - 98 = -4*z - 181 + 113 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*s - 2011*g**2 + 1024*g*s + 3*g wrt g?\nAnswer: 2*s - 4022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524847*1.\nAnswer: -524847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(-5*(-78)\/(-45))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 1 + 1)*(13*p**2 + 1 - 4*p**2 + 8*p**2).\nAnswer: -68*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 54107972?\nAnswer: 270539860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a - 8. Suppose 0*b - 20 = -3*b - a*w, 0 = b - 3*w + 2. Suppose -4*m + 2*y = 16, -m + b*y - 9 = 9. Which is greater: m or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 - 2*r - 2. Let b(a) = -11*a**2 + a. Let t(g) = 76*g**2 - 7*g - 1. Let k(u) = -7*b(u) - t(u). Let w = 33 + -30. Calculate w*k(o) + q(o).\nAnswer: -4*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 6, g: 2, u: 2, c: 6, f: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1814 + -205.9814. Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6726 - -2277?\nAnswer: -4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -42. Let q(y) be the third derivative of 0*y**4 + 4*y**2 + f*y + 2\/3*y**3 - 1\/30*y**5 + 0. Differentiate q(a) wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**2\/3 - 2568*p\/5 + 88\/3.\nAnswer: 2*(p - 110)*(35*p - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -70, -111?\n\"Answer: -41*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -5, 0.08, 16.444, -0.03, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((440\/(-15))\/(-8))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 168 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12245.88 - -12246. Let m = 3.6 + -4. Sort k, m, -1 in decreasing order.\nAnswer: k, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01148 + -4.09348. Let h = s - -0.082. Suppose -2*f = -f + 1. Which is the nearest to f? (a) 5 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-1)**2 + sqrt(102)\/(sqrt(6)*2).\nAnswer: sqrt(17)\/2 + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 189821 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 3125500?\nAnswer: -3125452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, -76119\/127?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2755 - 2755 + 70*r**2 + 5*r)*(0*r**3 - 4*r**3 + 3*r**3).\nAnswer: -70*r**5 - 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11021101122 + 2?\nAnswer: -11021101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 22 + 35)*(-2 - 2*w + 2 + 2*w**3) + 6*w**3 - 3*w**3 - 2*w**3 + (1 + 2*w - 1)*(-w**2 + 0*w**2 - w**2).\nAnswer: 71*w**3 - 74*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 10*d + 13. Let i be y(-9). Solve i*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7784 and 1443654.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 14. Let z(j) = 17*j - 18. Let w(k) = 8*y(k) + 7*z(k). Determine w(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 4*l - 2. Let c be p(5). Let a be (c + (-20)\/(-2))*1. Suppose 3 + a = 4*m. Calculate the least common multiple of m and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -9*o**5 - 179691*o**4 + 5097024*o**3 - 28910136*o**2 + 23754384*o + 30230928 = 0.\nAnswer: -19994, -2\/3, 2, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 3*o + 191. Factor 0*p**o + 0*p + 0 - 2\/7*p**3.\nAnswer: -2*p**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = 0, o - 2*o - 3*q + 54 = 0. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 195*b + 18. Let j be c(14). What is the highest common divisor of j and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 2*c**3 + 11 - 12 - 17*c + 4*c**4 to d + o*c**3 + r*c**2 + f*c**4 + u*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/2))\/((5122\/(-20685))\/13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 325*w - 330*w + 25. Let m = 51 - 50.9. What is the third biggest value in m, w, 136?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-2)*(-60)\/(-165)*(-1)\/(-34).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02988834 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120001021210122 + -12?\nAnswer: -120001021210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 1077 - 5775 = 0. Let p = 164 + x. Solve p*v - 5*l - 3 = 0, -2*l - 3 = -3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 1398 + 2632 + 1426 = 163*j for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (5 + (3*sqrt(468) - sqrt(468)))**2).\nAnswer: -11388 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8663595 is divided by 15582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**5 + 12000112*g**4 + 2*g + 14019895 wrt g?\nAnswer: -20*g**3 + 144001344*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -8. Calculate the least common multiple of 1 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41689\/45675 - -149\/175. Calculate the common denominator of k and -74\/21.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 448*l + 490 wrt l?\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122518 - 122517.999739092. What is l rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165411109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 plus -4563?\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29022, -58051, -87080, -116109, -145138?\nAnswer: -174167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -378 - -377.9. Which is the second biggest value? (a) 216 (b) -3\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2089 + -1101. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from dddmddmdddd.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 + 42 + 6*b**2.\nAnswer: 6*b**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -271, -131, 147, 611, 1309, 2289?\nAnswer: 3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.7 (b) -3 (c) 12575 (d) -1 (e) -2\/23 (f) 1\/4 (g) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b + 6. Let c(w) = 47*w + 17. Let d(z) = 3*z - 26*z - 7 - 2. Let p(s) = -4*c(s) - 9*d(s). Let l(y) = -6*p(y) + 13*x(y). Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 135*x**5 + 154*x**2 - 10*x. Let q(m) = 135*m**5 + 153*m**2 - 8*m. Let p(u) = -5*q(u) + 4*t(u). What is the third derivative of p(b) wrt b?\nAnswer: -8100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45814 + 45825. What is the third smallest value in -4, 136, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.57776 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-17)\/119) - (-62)\/10. Which is the second biggest value? (a) 4 (b) y (c) 1 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(112) + 0 - 4*(sqrt(112) + 0)**2).\nAnswer: -450 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-14))\/((-202686)\/(-386946))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.22, 1\/4, -3, 9?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111*z**2 - 14312 + 14312 - 1108*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*o - 11273427 = -100*o. List the prime factors of o.\nAnswer: 11, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 8 + 113703*r - 17*r**2 + 12 - 113703*r - 32.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3732 + 2490 = w, 0 = w - 2*i - 6208. Which is smaller: w or 6197?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 times 1.6\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7925520045 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -80 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**3 - 7*w**2 - 11*w + 15. Let a(g) = -7*g**3 + 7*g**2 + 12*g - 16. Let z(h) = 5*a(h) + 6*s(h). Let x = -136 - -144. Is z(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 55 - 16 - 15 - 17 - 10 - 2*b**2 to o + z*b + k*b**3 + l*b**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 22*x**3 + 0*x - 10 - 2*x**7 + 0*x**4 - 2\/5*x**5 + 0*x**6 + 0*x**2. Find the third derivative of o(z) wrt z.\nAnswer: -1680*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43\/9 - 74\/(-333). Let q = 1 + -2. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 4, 41, 0, -177.\nAnswer: -177, -60, 0, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**2*u)\/u*u)*u**(-4))**(-7) assuming u is positive.\nAnswer: u**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/2 + 4868208*d + 11849724565632 = 0.\nAnswer: -4868208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1720*f - 3153. What are the prime factors of u(23)?\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2121, 2125, 2129, 2133, 2137?\n\"Answer: 4*h + 2117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266200975 to the power of 1\/2, to the nearest integer?\nAnswer: 16316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -11, 4, -3 in descending order.\nAnswer: 4, -0.1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -u + 8, -16*w - 46*u + 368 = -15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose l = -3*j, -2*j + 0 = -5*x - 5. What are the prime factors of 6 - 4 - 15\/x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-10)*1\/(21\/(-70)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -1.67.\nAnswer: 18.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 4*o + o + 3*t, -3*o - 2*t = -106. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -13 - -6) + (42 - 4) - (8 + 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v\/((v\/v**6)\/v)*v\/(v*v**8) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*q + 209*q - 5750 = 0. Let v = q - 104650. What is v rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.13 + -1.13. Let i = 40 - n. Which is greater: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*o = 8, 3*o - 13 = -3*a + 4*o. Let c = -28 - -51. Suppose 4*v - c - 25 = 0. Calculate the smallest common multiple of a and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2\/3, -1\/5, -3, 2.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/652731 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 24*k**2 - 11*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120281*f - 240559*f + 120278*f - 1090*f**2.\nAnswer: -1090*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*d + 528*d = 0. Sort -7, d, 5, 19 in decreasing order.\nAnswer: 19, 5, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 - 5*w**2\/2 + 14*w - 37. Determine a(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**2*r - 86*n**2*v**2 - 3*n*r*v - 72*n*r + n*v**2 + 2*r - 2 wrt n.\nAnswer: -22*r - 172*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*m - 18 + 18)*(14 - 7 + 3)*(-2 + 0 + 1)*(2 - 3 + 2) to the form s + q*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 + (-9 - -13))*(-2)\/(-12))\/1. Which is the second biggest value? (a) 1531 (b) -2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073*z + 1070*z + 5*t = -81, 4*z + 4*t - 44 = 0. Solve -5*w - 2*a = -z, -5*w + 3*w + 4*a = -26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/346 in -9.7, 30, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 + 360. Suppose o*w - 204 = 96. What is the remainder when 516 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:49 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -654\/17 - -12011\/272. Find the common denominator of ((-273)\/(-9))\/(64\/12) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.716\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -2\/3, -0.5, 2\/19, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -28 - -17 - 4) + (3 - -52)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o + 2*o**2 - 13*o + 6*o**4 - 15*o**4 to p + b*o + s*o**2 + g*o**3 + i*o**4 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/80 and 49\/23440.\nAnswer: 23440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234614641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*m - 7907, -5*m = 5*a - 10120 - 9640. Suppose -2*p + 7*o - 4*o = -m, 3*o + 9868 = 5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53217 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + f)*(-3 + 3 - 2)*(2 + 0 - 1).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 136472?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 4*k**4 + 28*k**3 - 4*k**2 - 24*k = 0 for k.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.2? (a) 0.4 (b) -0.4 (c) -2 (d) 118172\/7 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -467 + 467 - 31*b**2 + (3 - 2*b**2 - 3)*(-30 - 27 - 7).\nAnswer: 97*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20437.999988941 - -20438. Round t to 7 dps.\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 151800?\nAnswer: 455400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviuuiiuuu. What is prob of sequence viv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 - 229. Solve 0*o - o - r = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5*2)\/(-2 - (-25 - -18)). Which is the third smallest value? (a) 1 (b) t (c) -28 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 177367*z**2 - 14*z - 53. Let w be v(-8). Suppose 6*o - 7707057 = w. Let t = o - 126434. What is t rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 444 = 450. What is the units digit of (1 - k*-2) + (-7 - -189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15855, 5, 1, -22 in ascending order.\nAnswer: -15855, -22, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5*b + 15, -8*b + 4*b = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 825*a - 606. Calculate the remainder when p(1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 13*n - 5*n - 63 - 11*n. Is o(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 18*n**2 - n - 5. Suppose 0 = -7*k + 52 + 102. Calculate the remainder when k is divided by u(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151962, -303899, -455838, -607779, -759722, -911667?\nAnswer: -1063614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -214, -0.2, 0, 4.78, 0.1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10212021 - -3433?\nAnswer: -10203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.7065174468 + -0.5.\nAnswer: -75.2065174468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by 70?\nAnswer: -51\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4739*r = -4724*r - 30. Solve 0 = 5*p - 3*n - 8, -16*p - r*n = -11*p - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135964*f - 135983*f - 1007 = 0 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1406, 1478, 1546, 1610, 1670, 1726, 1778?\n\"Answer: -2*g**2 + 78*g + 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:51 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -18\/5*i + 0 - 3\/5*i**3 - 21\/5*i**2 = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-4)\/(-24) + 4\/(-8). Let v(u) = 4*u**3 - u**2 + u. Let a be v(1). Suppose 2*m = 4*c - a, -4 = -5*m + m + 2*c. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 + 4 - (0 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22730 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5408295, 10816605, 16224929, 21633273, 27041643, 32450045?\n\"Answer: x**3 + x**2 + 5408300*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101987987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -793 divided by 1502?\nAnswer: -793\/1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700916034*r - 350458033*r - 350458007*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1434062 - 14354?\nAnswer: 1416405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from ccnb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51556*n**3\/17 + 103110*n**2\/17 + 51552*n\/17 - 2\/17.\nAnswer: 2*(n + 1)**2*(25778*n - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 8*n + 21*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -0.1528238.\nAnswer: -2.9036522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (2 - 4))\/1. Suppose t*u = -7*u + 2*u. Solve 0*q + q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/5 + 1418*x\/5 + 192516\/5 = 0. Calculate x.\nAnswer: -526, -183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -0.3, 452, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.659 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368299500 - 16538.2?\nAnswer: 2368282961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 49*s**5\/60 - 3*s**3 - 12*s**2 + 3. What is the first derivative of z(d) wrt d?\nAnswer: 98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15204597 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8113128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + 11419?\nAnswer: 113a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 52 = -2*g - 5*f, 2*g - 5*f = 12. Let d(b) = 3*b**2 + 10*b + 1. Determine d(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 + 1907*u**2\/6 - 2864*u\/3 + 1910\/3.\nAnswer: (u - 2)*(u - 1)*(u + 1910)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 6, 0, -0.5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37122?\nAnswer: 2, 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 139*z**2 - 2652*z - 8. Determine o(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b + 1. Suppose -3*y = 2*c - 0*y + 8, 0 = -2*c + y. Let l = 2 - 1. What is the remainder when l is divided by a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 11 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 7*p)*(6 - 2 - 8)*(-2 + 3*p + 2) to the form a*p**2 + w*p + j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 937689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 8*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Suppose 22 = 30*t - 19*t. Factor -1\/5*n**t + 1\/5 + 4\/5*n - 4\/5*n**b.\nAnswer: -(n - 1)*(n + 1)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/13 - 193792*i**3\/13 + 4695773756*i**2\/13 - 65712347904*i\/13 + 229959987138\/13.\nAnswer: 2*(i - 48441)**2*(i - 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 take away 6?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = 2*p, 3*p + 0*p = g - 31. Let v = g + -30. Solve 0 + v = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 8. Let s be a(-8). Let f = 231 + -216. Suppose f*z - 48 = -z. Solve s*d - 5*n + 13 = z*d, 15 = -5*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 12*x**3 + 6*x**2 + 9*x - 6.\nAnswer: 3*(x - 1)**3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1153540 - -33?\nAnswer: -1153503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-236)\/649)\/(60\/22). Put 0.1, 1\/3, a, -0.022 in increasing order.\nAnswer: a, -0.022, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1565154 and 41\/123102.\nAnswer: 10956078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 7. Let o be x(0). Let z be o\/28 - (-14)\/(-8). Is 118\/(z + 1 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 66710.24 days?\nAnswer: 5763764736000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3\/2)\/(2\/(-4)). Let s be 99\/(-98) + m + 2. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.08 (b) 0 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64746 by -2464.\nAnswer: 2943\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n**3 + 2*n)*(0 + 1 - 3) + 11*n**2 - 10 - 12*n**2 - n**3 - 2*n**3.\nAnswer: n**3 - n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 6 - -13) + (-2 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31272467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 261.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 - 48*l**4 - 306*l**3 - 972*l**2 - 1539*l - 972 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 18*k**2 + 29*k + 46. Let n be x(6). Solve 0 = -n*z + 16*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1690*p**3 + 224*p**2 + 15*p - 6. Let r(g) = g**2 - 5*g + 2. Let n(c) = a(c) + 3*r(c). What is the third derivative of n(q) wrt q?\nAnswer: 10140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**47\/((t\/(t**(-2\/11)\/t))\/(t**(1\/8)\/t))*((t\/t**(-2\/3))**(-8\/7))**41 assuming t is positive.\nAnswer: t**(-236825\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1010100011?\nAnswer: 1010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 divided by -5?\nAnswer: -833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 509*y - 61578.\nAnswer: -(y + 198)*(y + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and (-2 - (-60)\/(-18))\/(12\/(-2790))?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.66922 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 292 = -4*h, 40*h - 41*h - x = -79. Let j be 30\/(-9) - (-100)\/h. Sort j, -4, -6 in descending order.\nAnswer: j, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 55760 = -3*w, 5*w - 55795 = 2*w - 4*m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -p - 3*n, -3*p - 5*n = -69 - 246. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 - 160*u**4 - 1280*u**3 - 4230*u**2 - 6075*u - 2970.\nAnswer: -5*(u + 1)*(u + 3)**3*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**2*x**3 + 2891*a**2*x**2 + a**2*x - a**2 + 2*a*x**3 - 868937*a*x wrt a?\nAnswer: 20*x**3 + 5782*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223*t - 224*t + 186. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-6)\/(-2)) + 24?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2117, -6244, -10373, -14504?\nAnswer: -18637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3660 (base 9) to base 4.\nAnswer: -222213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16447284 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + -7 - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b)**30*(b*b*b*b**(1\/4))\/(b**(-3\/2)\/b)*(b*b*b*b*b\/(b\/(b\/(b*b**(-6))))*b*b*b\/(b\/(b**(-2\/7)*b)))**(-2\/5) assuming b is positive.\nAnswer: b**(2193\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -4, -5 in increasing order.\nAnswer: -6, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.4 + -9.3. What is the nearest to w in -4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39832 + 4*i**3 - 14*i**3 - 3*i + 5208 + 9*i**3 + 4*i**3.\nAnswer: 3*i**3 - 3*i + 45040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2071511964 and 18.\nAnswer: -2071511946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06, -4, 1, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400383655?\nAnswer: 5, 7, 23, 41, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 - (7 - 12\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*f - 2990, -5*d + 2990 = 14*f - 11*f. Calculate the remainder when d is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4\/3 - 23*p**3 + 394*p**2\/3 - 173*p + 66 = 0.\nAnswer: -22, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 6\/11, 6, -52, 4, 27\/7 in descending order.\nAnswer: 6, 4, 27\/7, 6\/11, -1\/3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let a be 34 - v - (-1 + -1). Let c = a - 29. What is the greatest common divisor of 20 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-6\/11)*x))**(26\/7)\/(((x**(-1\/24)*x)\/x)\/(x\/(x*x\/(x**(-4\/13)\/x)))))**(8\/9) assuming x is positive.\nAnswer: x**(-94999\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -73.\nAnswer: -73, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (2\/(-2) + 0). Let v(x) = 3*x - 34. Let j be v(12). Are j and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + (16 - 9) + 1 - (-5 + -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s - 243 = 290*s + 807 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*f, -5*u + 3*f = -0*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113971 = -1242*l - 5243*l + 54031 + 110853 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 5*a - 4*a, 2*w - 2*a - 18 = 0. Solve -4*h + 0*h - 24 = 4*z, -w*z - 3 = -4*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 10, -3, -22, -47?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/(4*(-2)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11220?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-495)\/(-25) + (-12)\/15. Suppose n*w = 13*w + 3018. What are the prime factors of w?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (-2 + sqrt(153))**2).\nAnswer: -780 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8*6\/9)\/((-4)\/(-36)). Calculate the highest common divisor of 336 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g + 3284 = 2*t, -3*t = 2*g - 4924. Let v be 3\/(-2)*t\/(-30). Let s = v - 46. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 213 + -220. Let l(s) = s**2 + 12*s + 4. Let a be l(-12). Let y be 1 - a - (c + -1). Solve -y*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2967186 is divided by 64504.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let l(j) = 9*j**2 - 2*j - 2. Let q be (-9)\/9*(-2 - -24). Let c(h) = 45*h**2 - 11*h - 11. Let g(r) = q*l(r) + 4*c(r). Determine b(g(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {d: 4, n: 6, j: 9}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0303 - -0.3303. Let k = -4.003 + 0.003. Which is the third smallest value? (a) k (b) -2\/7 (c) 0.4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68999873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 3*n + 35, 2*d + n = 3*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose -m - m + 34 = x*d, -3*d + m = -37. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664792203 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72373, -72344, -72283, -72178, -72017, -71788, -71479, -71078?\n\"Answer: 2*n**3 + 4*n**2 + 3*n - 72382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -4562324.\nAnswer: -4562332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 4128.\nAnswer: 45408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 4*t. Let r = 9 - t. Suppose q = 2*g - g + r, 4*q = 20. Solve 3*w - g = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqnnon. Give prob of sequence no.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = -3*l + l, 2*m - 47 = -5*l. Suppose 0 = 5*k - 4 - l. Let i(d) = d + 1. Let o be i(0). Solve 0 = -k*n - o - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1 + (-354)\/355). Is p\/4 + 20\/80 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155447541?\nAnswer: 7, 37, 433627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 228509 and 441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 0 - (-141 - 3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 107, 154, 201?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -1 + (12601 - -37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*b**4 - 341*b**3 + 63*b**2 - 399880*b + 587 wrt b?\nAnswer: 180*b**2 - 2046*b + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 5. Suppose 5*q + 44 = q. Let c be z(q). Suppose -7*y + c = -3*y. Solve -15 = -y*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1240*a**2*y + a*x - 470*a - 15674*x*y - 18*y wrt a?\nAnswer: -2480*a*y + x - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905175 = -19*b - 164*b - 42*b. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = 2*f + 3*f, 0 = f + 5*u + 6. Let x(t) = -57*t**3 - 2*t**2 - t. Is x(f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053563 rounded to 5 dps?\nAnswer: 0.00536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 1, x: 1}. What is prob of picking 1 e, 1 x, and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {l: 10, f: 3, i: 1, v: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -35199198 divided by 326\nAnswer: -107973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*r + 13. Let i(y) be the third derivative of y**5\/60 + y**4\/4 + y**3\/2 - y**2. Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:21 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + g**3 + 3)*(-154 - 11*g + 154) as q*g + y + s*g**2 + u*g**4 + p*g**3 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/36 + b**4\/24 + 8*b**3\/3 + 10. Let s(r) be the third derivative of d(r). What is the derivative of s(n) wrt n?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3167, -6329, -9487, -12641, -15791?\n\"Answer: 2*k**2 - 3168*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3\/2, -0.0422, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36163*l + 19418*l + 29406*l.\nAnswer: 84987*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*m**2 - 4*m**2 - 19*m**2)*(2*m**3 - 5*m**3 + 7*m**3) - m**5 - 2*m**5 + 0*m**5.\nAnswer: -215*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3036*h**3 + 124*h**2 + 5497*h**2 - 2474*h**2 - 278*h**2 wrt h.\nAnswer: 18216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*n + 3*k, 0 = 2*n + 3*n + 4*k - 35. Suppose -3*d = -n - 85. Calculate the remainder when 2 is divided by d\/4*2\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-35)\/(-45) + 28\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -4 - 5) + -28 + 43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119046?\nAnswer: 2, 3, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*s = 10*s + 10. Sort -1\/3, s, 1, -16, -5 in descending order.\nAnswer: 1, -1\/3, s, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 3 - -6 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/139, -0.2, 0.14, 2, -2, 0, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = -6*t - 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 535, 1136, 1749, 2374, 3011, 3660, 4321?\n\"Answer: 6*s**2 + 583*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14985226537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3638456, -3638459, -3638462, -3638465, -3638468?\n\"Answer: -3*o - 3638453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -3\/4, 66056, 4, 6 in descending order.\nAnswer: 66056, 6, 5, 4, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let n(q) be the third derivative of q**4\/8 - 4*q**2. What is n(u(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a - 232*a = -114*a - 323 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb7da1 - 1?\nAnswer: -bb7da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2080873716.\nAnswer: 2, 3, 43, 479, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376*d**5 - 494*d?\nAnswer: 7520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470bb (base 16) in base 10?\nAnswer: -3436731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 238 and -0.12.\nAnswer: 237.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -894*o*t**3 + o*t**2 + 2*o - 87*t**3 - 4*t wrt o.\nAnswer: -894*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68567 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -3*sqrt(27) + -5)**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -11065.\nAnswer: 36\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-6) - -7)*2\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51607541.0000196 - 51607530. Let m = -11 + l. Round m to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/2298 - 2585117\/16086. Let x = g + 161. Factor 2\/7*v - x*v**2 + 0.\nAnswer: -2*v*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 = 4*i + 3*d - 33, d + 449 = i. Let y = i + -244. Suppose -5*c + y = -4*t, 2*c - 64 = 2*t + 18. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.763 and -98.\nAnswer: -172.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 23*l - 822, 2*u + 2*l - 906 = 0. Which is bigger: 5012\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 48 - -61) + -19 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4800 and 1240?\nAnswer: 148800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 11. Determine h(-15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(110)\/(-2*(sqrt(90) + sqrt(10))) + -1*sqrt(77)\/sqrt(7) + (sqrt(11) + (sqrt(33)\/sqrt(3))**2)*-3.\nAnswer: -33 - 31*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 215420?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 + (-4 - (3 + -3)) + 461 + -461?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2112 or -2106?\nAnswer: -2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 14 - 17 = 7*l, 75*y - 9*l - 4*l = 71*y + 73 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -937 by -1.\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 30823794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2010 or 2014?\nAnswer: 2010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117052 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 10*f - 17204 = 63286. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23814 + -23823. Let d(y) = -y**3 - 9*y**2 + 4*y + 25. Calculate d(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 59*z**2 - 8*z - 5. Suppose -34 = -6*o - 22. List the prime factors of f(o).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82*-6833.1\nAnswer: 560314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x - 2. Let g be 4\/8*1\/x. What is the third smallest value in g, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/88)\/(((-490)\/(-77))\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4\/3 (c) 2\/3313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 2*o**2 - 14*o**4 - 8*o**2 + 4*o**2 - 4*o**4 in the form q + j*o + f*o**4 + n*o**3 + c*o**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, 58, 196, 382, 616?\n\"Answer: 24*d**2 + 18*d - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, s: 7}. Give prob of sequence yy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5 - 9*s**4 + 24*s**3 + 36*s**2 - 48*s = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**7\/245 - 9*y**6\/140 + 12*y**5\/35 - 5*y**4\/7 + 704*y**2. Factor h(p).\nAnswer: 6*p*(p - 5)*(p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185843840 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v + 81*v = 3198. What is the remainder when 279 is divided by v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 51 + 801. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 35724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000630801912 to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -2. Suppose v*r = 20*r. Solve -6*p + p + 25 = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/18 - -2) + (-6505)\/(-3). What is n rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (7 - (1 + 2) - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2141, 8675, 19611, 34949, 54689?\nAnswer: 78831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1 - 9*z**2 + 1. Let v(f) = -5*f**2 - 3. Let o(s) = 13*s**2 - 101 + 3*s**2 + 213 - 102. Let m(b) = 3*o(b) + 10*v(b). Give m(i(y)).\nAnswer: -162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39969 and 3.\nAnswer: -119907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 66131635 divided by -5\nAnswer: -13226327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwwf when four letters picked without replacement from hfwjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = q - 6, -r - 4*q + 15 = 0. Let g(t) be the first derivative of -t**2\/2 - t - 4. Let f(a) = 14*a + 14. Determine r*f(i) - 12*g(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1674*p - 3308. What is x(3)?\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-9)\/12)\/3). Is (-8 - u) + -2 + 499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977 + -976.9. What is the nearest to y in -0.02, 0, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3746*b + 3719*b = 7400*b - 3445 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/2)\/(p*p\/p**(-5\/4)*p*p)*(p*p**10)\/p*((p*p**(-3\/8))\/p)\/p assuming p is positive.\nAnswer: p**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-10) + 2037156\/20130.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 10, m: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-1\/3))\/a)\/a*a*a*a**(4\/7))\/((a*a*a\/(a*a*a*a**(-1\/11)*a))\/a**(-9)))**(-29) assuming a is positive.\nAnswer: a**(41441\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1 + 4. Suppose -3*o = 4*z - 177, -2*o = x*z - 8*z - 141. Calculate the highest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 2. Let k(s) = s. Calculate -2*k(b) + p(b).\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 24. Let q(t) = -16483*t**2 - 144. Let u(m) = 6*d(m) + q(m). Let j(f) = -f. What is u(j(a))?\nAnswer: -16477*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*a - 7. Let k = -1 - -2. Let o = k + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 3*l**2 + 3*l - 1. Does 3 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 8584 = -5*r + 19*x, 12 = 4*x. List the prime factors of r.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -59946?\nAnswer: 59947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**4\/12 - z**3\/2 + 47*z**2 - 68*z. Is n(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:40 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 not equal to -1546\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/99)\/((-780)\/13585).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and -3.6.\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1009, -2019, -3029?\n\"Answer: -1010*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (40\/36*93\/155)\/(4\/(-42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -354839*b**3 - 1 + 177432*b**3 + 177443*b**3 - 4*b**2 as a*b + z*b**3 + j + l*b**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00743851367 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 0*i - 3 - 3. Let r(u) = -27 + 3*u + 23 + 2*u - 2*u - 4*u. Calculate -5*k(d) + 7*r(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 - 443 = -3*f, 4*f = -2*t + 570. What is the lowest common multiple of f and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 9. Let i be (2 - -4)*(-2)\/(-4). Let w(x) = -x + 3. Let l be w(i). Let r be l*(1 + -2 - -2). What is c(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 198383204026548 and 3.\nAnswer: 198383204026551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18)*-4)\/(140\/90)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11\/31?\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*40\/24*-1. What is the closest to -1 in -329, q, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g - 141. Let q be p(11). Solve 25 = -3*x - 4*b, q = -2*x + 4*x - 2*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353301?\nAnswer: 3, 13, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 8*p**2 - 2*p + 7. Let g(b) = 4*b**3 + 9*b**2 - 2*b + 8. Let d(z) = z + 13. Let s be d(-8). Let k(r) = s*c(r) - 4*g(r). Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26662398 and 6645.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7426328?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 51161*k.\nAnswer: k*(k + 51161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30)\/(((-70)\/(-135))\/14).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3333 + -26661\/8. Which is the closest to -3? (a) -1 (b) g (c) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 611*t**3*w**3 + 12375*t - 2*w**3 + 14214*w**2 + w - 180 wrt t.\nAnswer: 1833*t**2*w**3 + 12375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85) + -2*sqrt(85)*1)\/(sqrt(45)*-3) - (sqrt(85)\/sqrt(5) + 2 - sqrt(204)\/sqrt(48))) + -5)**2 + -5.\nAnswer: 7*sqrt(17) + 193\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 39*b**2 - 37*b - 43. Give m(38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3971938.\nAnswer: 3971940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 + 102. What is the third smallest value in 3\/5, -3\/7, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 184. Let w(a) = 8*a + 3. Give w(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:36 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(108)*3*-5 + sqrt(108))*-6)**2 + -3)*5.\nAnswer: 3810225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 2282411\nAnswer: 13\/2282411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -19 - 5. Suppose -4*c - 3*k = -j, 0*c + 5 = c + k. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 902027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -21. Suppose -a*u = 2*u - 18. Suppose u*m + 3 = 2*f - m, -4*m = -4*f + 4. Solve -p = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.07. Let y = 0.2 + 0.2. Let q = -1 + 0. What is the second smallest value in k, q, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -50*f**3 + 11*f**2 - 175*f - 9. Let c(w) = 25*w**3 - 6*w**2 + 88*w + 5. Let q(v) = -11*c(v) - 6*z(v). What is the second derivative of q(m) wrt m?\nAnswer: 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 43\/292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-2\/13)*n))*n)\/n*n*n\/(n\/((n*n**(-7)\/n)\/n))*n)\/(n*n**(3\/5)*(n\/(n**(-4\/7)*n)*n)\/n*n*n) assuming n is positive.\nAnswer: n**(-4243\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -725*j**2 + 175*j. Let i(o) = 25*o**2 - 6*o. Give 175*i(a) + 6*q(a).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -32*b - 1. Calculate k(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*m**5 + 6857*m**4 - 7*m**3 - 1299*m**2 - 809*m wrt m?\nAnswer: 5100*m**2 + 164568*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 7*k**4\/4 + 61*k**3\/3 - 1356*k**2. Determine f(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-6) + (-3)\/(-1). Let v be 3\/(y - (-3)\/(-2)). Suppose -w = 2*g + 2, v*g + 0*g - 2*w + 14 = 0. Sort g, -1, -4.\nAnswer: -4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - (-2)\/(-2)*-10. Suppose 0 = r + 3*r + 4. Let z(b) = -b**3 - b**2 + b + 1. Let o be z(r). Solve 4*y - 3 = 7*j - 2*j, o = -2*y - 2*j - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 6 + (-25 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**15\/z*z**(-1\/2)*z assuming z is positive.\nAnswer: z**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*7\/(98\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 36*a + 41*a = -3192. What is the highest common factor of 2296 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 4, r: 8, y: 1, c: 1}. What is prob of sequence ii?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 3053?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 15 = -5*j. Let r be (j + 4)\/(17\/376). Let y = -309\/2 + r. What is the common denominator of -31\/22 and y?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 278 and -88.61.\nAnswer: 189.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47945 is divided by 1322.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose -u*q + 13 = 3*i, 0 = -2*i + 4*i - 4*q - 2. Solve -8 = m - 4*w, i*w - 1 = -4*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 32765500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 2 = -33*p. Let d(k) = -k**2 + k + 2. Let w(h) = -h. Calculate p*w(n) + d(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-3\/4)))\/(k\/(k*k**6*k)*k)*(k**2*k)**(-21))**(-16) assuming k is positive.\nAnswer: k**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 34*j**4\/3 + j + 10. Let z(u) = 2*u - 18 + 1 + 17. Give y(z(l)).\nAnswer: 544*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i, -6*i + 3*i + 38 = 2*t. What is the first derivative of 4 - 2*u**4 - t - 8 - u**4 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468446 and 2189.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12166 and 5530.\nAnswer: 60830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 168 - 176. Solve 0 = -4*f + 8, -w*a + 2*f + 0 = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -52, -2, 2, 0, -4 in increasing order.\nAnswer: -52, -4, -2, 0, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110011 (base 2) in base 14?\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55726462\/15 != -3715098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16 - 3*q + 2*q + 21 - 7*q + q**2. Let h be f(8). Suppose 0 = 4*m - 2*g, 3*m + 6 = 3*g - 0*g. Calculate the greatest common factor of h and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*i = -642*i - 1121 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/29099 and -23\/350?\nAnswer: 1454950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 22 (c) 0.5 (d) -210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 - 22*f**4 + 20*f**4 + f**2 - 6 + 4 + 4*f to the form s*f**4 + p*f + n*f**2 + o + i*f**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 divided by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 8*t + 5. Let i be x(5). Let l = 20 + i. Let c = 2081355 - 2081297. What is the remainder when c is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1211 + 1220. Let n(f) be the first derivative of 0*f + z + 0*f**2 + 1\/3*f**3. Let a(i) = -22*i**2. What is n(a(q))?\nAnswer: 484*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.3, 1344, 4, 0.62 in descending order.\nAnswer: 1344, 4, 0.62, 0.3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-18))\/7*15. Suppose -u*a - 193 = -3*o, 165 = 4*o + 5*a - 34. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18967472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**3 + 18*v**2 + 29507*v - 4607454 wrt v?\nAnswer: -3*v**2 + 36*v + 29507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12 + 11 - 22 + 9*m. Let l be 3\/(-12) - 25\/(-4). Is i(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79443.88 millennia in decades?\nAnswer: 7944388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*k - 18 = 0, -3*i + 22 = i - 2*k. Suppose 21*n - n = 100. Suppose 0 = z - i*q - 137, -n*z + 0*q + q = -685. What are the prime factors of z?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w - 10*w = -9*w - 205416. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, g: 7}. Give prob of sequence gggx.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 38. Suppose -16 = -2*j - h. Let t = 7 - 7. What is the third smallest value in -4, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2430*g - 34 = -2464*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 - 12 = 0. Let x = -0.2 + 0.6. Let f = 11.89 - 11.59. Which is the second smallest value? (a) f (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:53 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21)*r**4*r)**7\/(r**(-8)\/r**(5\/6)*(r**2)**(2\/37)) assuming r is positive.\nAnswer: r**(3285\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1\/m)\/m)**(-9\/7))**(-27)*(m**1)**(-8)\/(m\/((m\/(m*((((m*m**(-2)*m)\/m)\/m)\/m)\/m))\/m)*m\/(m*m**(-3\/7)\/m)) assuming m is positive.\nAnswer: m**(-295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211 + -3113131101?\nAnswer: -3113122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1.03\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 18*m**2 + 3*m + 27. Let x be q(19). What is the first derivative of -473 + 859 - x + 77*t**2 wrt t?\nAnswer: 154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -1?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(684) - (0 + -2*sqrt(684)))*-6 + 1 + sqrt(684) + 1 + 3 + 2)**2)*-4.\nAnswer: -790892 + 5712*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2\/15, -2, 0.2, -2\/3 in decreasing order.\nAnswer: 11, 0.2, 2\/15, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.60500027 rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -265660 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 42.7897+-0.021\nAnswer: 42.7687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 12, -5, 4 in ascending order.\nAnswer: -5, 4, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1580 = -54*o + 256. Suppose -g + 541 = 4*f, -263 = -0*f - 2*f + g. What is the remainder when f is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + y**2 - 4)*(y - 5*y + 2*y) - 16*y**2 - 5*y**3 - 3*y**2 - y**2.\nAnswer: -7*y**3 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 41748384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 2*o - 2. Let f be (-9)\/(-6)*(-4)\/6. Let g(q) = -q - 1. Let c(v) = f*p(v) + 2*g(v). Let t(y) = -7*y. What is c(t(i))?\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 154. Let g(q) = 6*q + 617. What is -2*g(p) + 9*m(p)?\nAnswer: -3*p + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 381697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -361*x - 11*x**2 + x**3 - 35 + 192*x + 185*x - x**2 + 2*x**2. What is a(8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.415 - -2522.\nAnswer: 2522.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 56*v + 66*v - 9 = 4*o, -2*o + 3*v + 5 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/29, 0.18, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2 (c) -3 (d) 2 (e) 72\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2635 - 2622 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/2*36*(-128)\/1536\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 143787178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + ((2 - 12 - -7) + 9 - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*j**2 + 463*j**2 - 20*j**2.\nAnswer: 607*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 194003674*j. Let k(l) = l. What is y(k(o))?\nAnswer: 194003674*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, -45, -233, -495, -831?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 - (-5 - (19 + -12)) - 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 11*s**2 + 11*s + 6. Let j be d(-10). Let i be -1 + 2\/(j\/6). Sort i, -3, -5 in ascending order.\nAnswer: -5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 732085?\nAnswer: 1464170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1696 and 2181056.\nAnswer: 2181056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 28. Let f = p + -311\/9. Which is the third smallest value? (a) 4 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - x**2 + 8*x - 6*x. Let c(p) be the third derivative of p**5\/30 + 10*p**3\/3 + p**2 + 22*p. What is c(o(j))?\nAnswer: 2*j**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + 0 + sqrt(605) + -2*sqrt(605)*-2) - (-3*sqrt(605)*-2 + 2*(-2 + sqrt(605))))**2*-4.\nAnswer: -2635444 + 11616*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2623)\/(-172) - (-68)\/(-4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -120*t - 61. What are the prime factors of v(-3)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -62513396.\nAnswer: -1\/15628349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47167 or -5?\nAnswer: 47167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stk when three letters picked without replacement from tuupsukpuu?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18128, -18112, -18086, -18050, -18004, -17948?\n\"Answer: 5*u**2 + u - 18134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.7 - -43. Let g = p - -1.6. Let v = -0.1 + g. Put -1\/7, v, -2\/15 in increasing order.\nAnswer: v, -1\/7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 4676. Let r be p(0). Suppose 0*u - 4*u = -r. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27051, 107831, 242331, 430551, 672491, 968151, 1317531?\n\"Answer: 26860*f**2 + 200*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3)*(166944\/(-9870))\/(-74)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 93.3, -2\/9, 4, -7479?\nAnswer: -7479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 134*q + 1582. Determine b(-7).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1295\/(-89614)*-173)\/((-5)\/24*-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(243) + 1 + sqrt(243) + 2 + -5*1*sqrt(243))**2).\nAnswer: -972*sqrt(3) + 13170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126137943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + c + 10 = 0, -2*x + 16*c = 11*c - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 2*s + 4*s - 2*s**3 + (-4*s**3 + 0*s**3 + 3*s**3)*(0 + 0 + 1) - 10*s**3 + 6*s**3 + 15*s**3.\nAnswer: 8*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x**4 + 2*x**3)*(5*x + x - 4*x) - 2*x + 2*x - 2*x**5 + (0*x**5 - x**5 + 2*x**5)*(0 + 2 - 3) - 2*x**5 + 0*x + 0*x - 1132 + 1132 + 54*x**5.\nAnswer: 47*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, 11, -2, 4 in decreasing order.\nAnswer: 11, 4, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -1, -19, 1 in descending order.\nAnswer: 1, -1, -19, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5511133?\nAnswer: -5511125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6100\/1020 - 228\/36.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24383190 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 80 + 4*w**2 - 80.\nAnswer: 4*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 + 4*u + 2. Let i be o(5). Let f be (-2)\/3 - 10\/(-6). Let k be i\/(-6)*(-1 + f). Solve h - 3*l + 14 = -k*l, -3*h + l - 18 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*l = -2*c - 230*l + 6, 0 = -5*c - 3*l + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 16 = -16*a. Suppose -3*h - 30 = -3*r, 3*h + a + 2 = r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.40657.\nAnswer: -0.0121971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 5038.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80020 and 240060?\nAnswer: 240060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (0\/3 - -1). Let c = 4922 + -4870. Is c at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*u + 81799, -9*y - 6*u = -8*y - 81887. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 52 = -11*n. Put n, 0, -5, 4 in ascending order.\nAnswer: -5, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 40\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.788 - -0.012. Let m = b + 94.2. Let q = m - 108.00000057. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 14, 0.3, -0.05, -5006 in decreasing order.\nAnswer: 14, 0.3, -0.05, -6, -5006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -39 - 85) + (2 - -15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 90816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {u: 8, v: 2, o: 1, p: 2}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -908.5 - 1036.6. Round j to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4612 or -3554?\nAnswer: -3554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12879074*v**4 - 16219411*v.\nAnswer: 154548888*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.49 + -37.49. Let i = m - -37.5. Which is the second biggest value? (a) -0.4 (b) -13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 136. Let o(c) be the third derivative of -c**4 + l + 0*c - 11\/10*c**5 - 9\/70*c**7 + 4*c**2 - 3\/5*c**6 - 1\/2*c**3. Find h, given that o(h) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 20 = 4*n, -2*c + 10 = 2*n. Let s = -1088\/9 - -121. Is s at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(300) + 3)**2 - sqrt(300)) + 4*1*sqrt(300).\nAnswer: 50*sqrt(3) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*a + 0 + 71*a - 98*a**2 + 0.\nAnswer: -98*a**2 - 54*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86410291 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -353264 and -353264 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111000011111000 + -11?\nAnswer: 10011111000011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*30\/(-110).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86995.28948 rounded to the nearest 10?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 956\/7545 - -10\/1509. Sort q, 0.309, -1.2.\nAnswer: -1.2, q, 0.309","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*198.0992\nAnswer: -1782.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -5*l + 31, 2*l - 12 = 2*j. Suppose l*r = 5*r + 6. Suppose 6*f - r*f - 210 = 0. Calculate the highest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*d**2 + 21*d**4 + 11*d**4 - 25*d**4 + (0 + 0 - 2)*((-3 + 2 + 3)*(2*d**2 + d**4 - 2*d**2) + 4*d**4 - 2*d**4 + 4*d**4).\nAnswer: -9*d**4 + 54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -13. Suppose -6 + 911 = 3*q + 5*i, 0 = -x*q - 3*i + 897. Suppose 4*u + q = 9*u. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8)*-2*4. Let h be ((-10)\/3)\/(1\/(-3)). Let s = h - 7. Solve -9 - 1 = q*f + 3*a, 5*f + 16 = -s*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 45 + 23 = 0. Let m(l) = l**2 - 4*l - 7. Let x(z) = z**2 - 3*z - 6. Let b(f) = -6*m(f) + 5*x(f). What is the remainder when r is divided by b(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -11. Let w = r + -12. Which is the closest to 2\/3? (a) w (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -33*f + 36*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y - y)*(-y - 7*y + 0*y) + 3 - 3 - y**2 - y**2 + 2*y**2 - 2*y**2 to h + j*y**2 + u*y and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*-4 + (sqrt(70)*-2 - sqrt(70))*-4)*6)\/((1*sqrt(90)*-1)\/(sqrt(9) + (sqrt(9) - (sqrt(9) - (-1*sqrt(576) + sqrt(9)))))).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 250?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:40 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 9. Let j = -8 - i. Which is the third smallest value? (a) -5 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 = 2*u - 3, 0 = 4*u - 5*g - 37. Suppose -218 = -2*y - 30. Suppose -z + 0*z + y = 3*w, -2*w = u. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 16 = 35*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*g + 13, 0 = 4*g - 0 - 4. Let d(m) = 0*m**n - m**2 + 7*m**2 - m**2. Let c(k) = 58*k - 32*k - 25*k. What is d(c(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 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 132 minutes after 10:07 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55\/147 + 1\/3. Is a at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16252 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 259371874 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 1109\/10. Let l = -2418 - -2413. What is the fourth smallest value in l, i, 2, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**2 + 10*i - 4. Let b be s(8). Suppose c - 4*c = -b. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 10*l**2 + 2 + l**3 + 3*l + 4*l. Let s be d(9). Does 14 divide -2 + (-48)\/(s + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75968587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 187 and -1607576998.\nAnswer: -1607576811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7021\/105 - ((-24)\/(-20))\/(-6)*10\/15?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2591 and 7?\nAnswer: 18137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*10\/(-375))\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + 3*z)*(0*z**4 - 2*z**4 + 0*z**4) + (1 + 0*z**2 - 5*z**2 + 1)*(4*z**3 - 3*z**3 - 2*z**3).\nAnswer: 9*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221*5.\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3*b + 2. Let g(k) be the first derivative of -k**2\/2 - 463. What is -5*g(s) - v(s)?\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012284721 to four dps.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 1)*(-50*a - 25 + 25) - a - 47 - 48 + 77)*(-5 + 2 + 4) to the form r + t*a and give t.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1219*b - 15909. Calculate m(-13).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*x - 198*x = 196*x + 471. Let w be 1\/(-1)*(-3)\/(-1). Let c = x + w. What are the prime factors of c?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.8. Let q be ((-100)\/(-8))\/5*(-1)\/5. What is the nearest to -0.1 in x, -3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 876*c**2 - 2. Let u(g) = 3*g**3 + 2629*g**2 + 7. What is -7*i(y) - 2*u(y)?\nAnswer: y**3 + 874*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 + 3*b**5\/20 - b**4\/8 - 5*b**3\/3 - 16*b**2. Let i be x(-9). What is the greatest common divisor of 34 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 11 + 14. Let w be 0 - (-34)\/(0 - -2). Let a = l - w. Calculate the remainder when 23 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 6*s + 208, -2*v - 205 = 25*s - 44*s + 26*s + 35 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 900 + -435. Suppose -w = -2*b - b. Suppose -a + b = 2*q - 0*a, 2*q + 2*a = 152. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4186*a + 159. Let f(m) = -4187*m - 156. Let v(p) = -3*d(p) - 4*f(p). Is v(7) 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 {q: 1, v: 3, h: 1, r: 1, z: 1}. Give prob of picking 1 h, 1 q, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0 + 0 + 1 - 2*j + j**2. Let g be (-6)\/10 + (-112)\/(-20). Suppose 0 = g*s + 7*s - 36. What is k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7) + 21\/49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/7875 and 41\/32991.\nAnswer: 12371625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*d + 41*d - 10. Suppose -t = -3*l - 30, t + 2*l + 2*l = d. Let i be 2972\/20 + (t\/(-10))\/3. What is the highest common factor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 9. Find the third derivative of -t**2 - 8*t**3 + 7*t**z - 3*t**3 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2005 - -3125. What is the remainder when i is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/15*3 + -77. Let v = l + 160. Suppose -v*u + 93*u - 155 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 9 + 3*p**4 - 67*p**3 + 6*p**2 - p + p**4 + 67*p**3 to d + i*p**4 + z*p**3 + w*p**2 + n*p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p**3 - p**2 - p. Let b(s) = s**2 + s. Suppose -34*l = 4*a - 36*l - 2, 5*a + 5*l - 10 = 0. What is a*b(w) + k(w)?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -16582\nAnswer: -6632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -984\/13 - -20924\/273. Which is smaller: k or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 6*u - 7. Let l(n) = -4*n**2 - 5*n + 6. Let b be ((11\/132)\/(3\/8))\/((-83)\/(-1494)). What is b*d(v) + 5*l(v)?\nAnswer: -4*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 + 98*a**3 - 312*a**2 + 8*a + 416 = 0. What is a?\nAnswer: -52, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1492285286\/11 + 5438\/11*b**4 + 2\/11*b**5 + 1482418940\/11*b**2 + 4925012\/11*b**3 - 2979634678\/11*b = 0. What is b?\nAnswer: -907, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8660689.62 rounded to the nearest 10000?\nAnswer: -8660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*s**4\/2 + 41682*s**3 - 67905840*s**2 + 36379529600*s + 608710272000.\nAnswer: -(s - 1640)**3*(17*s + 276)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -12. Suppose 2*v - 3 = -2*r - k, -3*v - 30 = -5*r. Suppose 2*t = r*w - 3*t - 24, 0 = 5*w + 5*t. Solve -w = -2*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -16, 0.1, 5 in descending order.\nAnswer: 5, 1\/4, 0.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 33, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from qrqrrfqyrqryfrzf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-39) - ((-76)\/1824)\/((-26)\/734)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 20*p + x + 24, 0 = 4*p + 2*x - 32. Solve -4*l = 0, -3*m + 1 = 5*l - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1273264 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 2, d: 4, n: 4, r: 4}. Give prob of picking 1 r and 2 i.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -313.2 - 39.8. Let m = 353.343 + u. Round m to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 84, 0, 3, 5, 55 in increasing order.\nAnswer: 0, 2, 3, 5, 55, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*(-560)\/1750\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose -131928 = -11*p - 131708. Solve -m - 6 = j*q, -5*q = -p + 45 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) 2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(5*d + 5*d - 6*d) + 12*d - 4 + 4 - d + 0*d - d - d - d - 11 - 6 + 0*d + (-5 + 5 - d)*(-3 + 2 + 0) to the form s + h*d and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - (((-1040)\/78)\/(4\/(-6)) - 10).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*y)**(-8\/3) assuming y is positive.\nAnswer: y**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.02, 1\/6, 1\/15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p + q - 23046 = -22784, 4*q = 5*p + 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2134 = -52*l + 40*l - 85*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21074.23428 rounded to the nearest one hundred?\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-231)\/(-14)) - (132722\/(-22) - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -663 - -657.83. Let k = 0.17 + z. Let t = -4.916 - k. Round t to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 106416\nAnswer: -1\/26604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(98) - -5*(0 + sqrt(98)))**2 + (sqrt(98)*-2 + -2 + sqrt(98) - sqrt(98)*2*2)**2)*5 + 4.\nAnswer: 700*sqrt(2) + 29894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3744*j*r**2 + 4*j*r - j + r**2 + r + 281913 wrt r.\nAnswer: -7488*j*r + 4*j + 2*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/63 + 40\/(-18). Let w be (-1)\/c*0\/(-3). Solve -d + 0*d + 3 = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -0.4, 29\/4, 4, -24, 1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -39*n**3 + 21*n**2 + 73*n + 1. Is x(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -885621 divided by 8\nAnswer: -885621\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52489, 49946, 47403, 44860, 42317, 39774?\n\"Answer: -2543*x + 55032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 0.02. Let y = 0.02 - x. Let i = -0.62 - y. Sort i, -0.5, -0.4 in ascending order.\nAnswer: i, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5847.522 litres to millilitres.\nAnswer: 5847522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160789 + 80403 + 80388 + 7*v.\nAnswer: 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*36\/1296*6*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5 + 14812*o**4 + 89016*o**3 + 216*o**2 - 800820*o - 1201716 = 0.\nAnswer: -3, 3, 3709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m - 24*m + 11*m to q + s*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 + -136. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/80 in 0, 4, 221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggiigg. What is prob of sequence gg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 64*b - 201. Let c(u) = 6*u + 2. Let l be c(2). Let v = -6 + l. What is the least common multiple of v and k(35)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 6*z**2 + 2*z - 7. What is the remainder when l(4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -2, 2\/9, -4, -0.1, 18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 108.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35510 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -27*k + 9. Let z = -49 + 39. Let q be f(z). Suppose -4*p = -2*j + 3*j - q, 3*p - j - 204 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2 - 39982*o - 34260.\nAnswer: -2*(o + 2855)*(7*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-248)\/(-126) + -2). What is the lowest common multiple of 5 and -30*((-12)\/h - (-12)\/(-28))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k. Let y(v) = -8747*v - 8742*v - 31 + 17490*v. Calculate y(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.08952 + 482.\nAnswer: 450.91048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 15 = -4*f, -3*f = -3*y - 183 + 174 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56983 (base 16) in base 13?\nAnswer: -c559c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21472826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 338267564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.2 (c) 769 (d) 0.4 (e) 0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 + 36 + -102 + 44.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 divided by 22?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 390 = 2*v, 4*v + x - 794 = -0*x. Find the common denominator of -43\/35 and ((-1)\/12)\/(-15*(-4)\/v).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-14)\/(-4))\/((-2)\/(-236)). Let b = -54 + c. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108084.\nAnswer: 2, 3, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/4, 11\/14, -0.7 in increasing order.\nAnswer: -0.7, 11\/14, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 7*h**2 - 9*h - 14. List the prime factors of p(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -6*v + 32. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 33 (c) -5 (d) 5 (e) -0.6 (f) 14 (g) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*y**2 + 47*y**2 - 111*y**2.\nAnswer: 237*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 201 + -181 + (12 - 2 - -14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133 and 0.039.\nAnswer: -5.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/3 - 4737430*t**4\/3 + 1870270250408*t**3 + 4737430*t**2\/3 - 5610810751225*t\/3 = 0. What is t?\nAnswer: -1, 0, 1, 2368715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270.2 - 371.24. Let t = m - -107. Let h = t + -6. Which is the second smallest value? (a) -1\/3 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36 - i**2 + 2*i - 12*i + 48 - i**2 = 0. Calculate i.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/224 and 0 - 5 - 1 - (6 + (-27800)\/2336).\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 514009. Let f(r) = 14*r**2. What is k(f(x))?\nAnswer: -42*x**2 - 514009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/(-952)*(-21)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c - 9*c - 5*c)*(-3*c + 8*c + 36*c) to the form k + p*c + x*c**2 and give x.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.1. Let g = 0.5 - k. Is g < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 723, 4\/3, -7 in descending order.\nAnswer: 723, 4\/3, -7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/32)*(-793980)\/(-64160)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6953 + -153005\/22. Let x be (-19555 + 16)*3\/22. Let c = x - -2663. Find the common denominator of v and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 11 = 3*x, -3*x + 3*t = -128 + 125 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58\/3 + 62\/3. Let 0 + 0*n**3 + 4\/3*n**4 + 0*n - z*n**5 + 0*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(119)*-2)\/(sqrt(70)\/sqrt(160)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.3, 2\/3, -5, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-69)\/(3519\/119)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*c - 5*c - 6 = 0, 3*n = 4*c + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 376 - 763 + 3*j**2 + 367 - j**2 to d + q*j + p*j**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 11271071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + (-2 - 90 - -88)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - -8.312955.\nAnswer: -5.687045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29512339 is divided by 748.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n + 4. Let d be o(-4). Let c be (-6)\/21 + d\/(-21). Differentiate c*i**2 - 2 - 2*i + 2*i - i**2 with respect to i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a + 10*a**3 + 12*a**3 + 4*a**2 - 21*a**3 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -54\/47, 21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -w + 47. Let c be (-1*64\/(-6))\/((-8)\/(-204)). Let k = -244 + c. What is the highest common factor of k and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -26. Suppose u + 2 = 3*m, -5*u + y*u + 18 = -m. Suppose u*r - 3*j + 40 = 0, -r - 3*r - j = 40. Sort -4, -5, r in descending order.\nAnswer: -4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/360 + d**5\/9 + 16*d**4\/9 + 128*d**3\/9 + 618*d**2. Factor b(c).\nAnswer: (c + 4)*(c + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - 2*z = 0. Suppose 4*u = 16, 5*o - u + z*u = 9171. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1094*d**2 + 8*d. Let g(l) = -l**2 + 2*l. Calculate -4*g(s) + n(s).\nAnswer: -1090*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151.6 + 256. Round f to zero dps.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 + 4*q**2 - 7*q. Suppose 0 = -2*h + 29 - 19. Let p be o(h). Suppose -p = -4*s - 4*r, -182 = 5*s - 4*r - 777. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19297 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: Rearrange -189*o - 35 + 77 - 40 to x*o + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*d = 20, 0 = 19*j - 24*j + 2*d - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 0, -4*i + 31 = -0*i + l. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (41 + -49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/30 - c**4\/24 - 2*c**2. Let h = 103 - 101. What is x(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -47. Let q(n) = -64*n - 1. Let y(t) = 128*t + 3. Let s(z) = f*y(z) - 5*q(z). What is the units digit of s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1471*h**4 + 890*h**4 - 915*h**4 - 6 + 840 + h + 1298*h**4 wrt h.\nAnswer: 32928*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let k(y) = 9185175*y**2. What is k(m(l))?\nAnswer: 36740700*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/141 - 76\/1269. Let y be (-18)\/(-3)*-28*12\/(-6048). Let c = -8 - -4. What is the smallest value in y, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -604.46 and -0.26?\nAnswer: 157.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1163877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/136*2\/3*-6*(-423)\/(-141)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 67 = -3*n - n, u = 3*n + 464 - 516 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/12 - 587\/38742. Which is the biggest value? (a) x (b) -2.7 (c) 0.1 (d) 3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390270 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. What is the third derivative of v*r**2 - 5*r**5 + 6*r**3 - 2*r**2 - 6*r**3 wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 2*x - x**4 - 4*x**2 + 2*x**2 + 11*x**3 - x**3 - 4*x**3 in the form n*x + z*x**4 + u*x**2 + i + d*x**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1667041 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-27)*w**0*w**(-2\/5))**9 assuming w is positive.\nAnswer: w**(-1233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/((-6 + 1)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 - 7*h - 4. Let m be c(7). Let i be (-7)\/m - (-2)\/8. Suppose -2*q - i = -16. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 4909625296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4 - 19 = -3*i, 4*f = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 17 + u + 6 + 8.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2124168 and -41989384.\nAnswer: -41989384.2124168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.05, 2\/9, 3\/2, -1\/8, -56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*g**2 - 1416*g - 1499*g + 2915*g.\nAnswer: 366*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -89*w + 147*w + 4 - w**2 - 53*w. Suppose -8 - 12 = -2*i + 2*l, 5*i + 2*l - 22 = 0. Give q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4\/5*z**5 - 3\/2*z**4 - 35 + 91\/3*z**3 + 0*z + 0*z**2. Find the third derivative of h(u) wrt u.\nAnswer: 96*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1573213 divided by 5.\nAnswer: -1573213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 3 - (-2 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30266.\nAnswer: 2, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -4*p - 1\/2*p**2 + 6. Let y(d) = -5*d - 21. Calculate -11*s(a) + 2*y(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/47, -1, 2, 5, -211062?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -25974.\nAnswer: -1\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*t*x + 2*a*t + 19*a*x**2 - 2*t*x**2 - 3*t*x - 9*x wrt x.\nAnswer: 38*a - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 13*v**2 + 9*v + 22. Determine q(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by 3674\nAnswer: -199\/3674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/(26\/(-156)*(-64)\/(-12))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.0893, -3\/4, -2\/15, -3 in increasing order.\nAnswer: -3, -3\/4, -2\/15, 0.0893, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9691?\nAnswer: 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 + 3*u**5 + 6*u**3 - 8*u**3 - u)*(-16 - 8 - 2).\nAnswer: -26*u**5 + 52*u**3 + 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -593*o - 1927 + 6671. Solve 4*j + 49 = 5*z, -o*j + z = -11*j - 13 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 - 155. Let n = 6 + -2. What is the second derivative of s*v + 10*v**4 - v + n*v + 5*v wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:23 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*c = 9, 99*s - 102*s - 7*c = 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h*i**2*l - 15*h*i**2 + 119846*h + i**2*l + 823*i**2 + 4*i*l - 3*i wrt i.\nAnswer: 16*h*l - 30*h + 2*l + 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4*a = -7515. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12458 (base 10) to base 5.\nAnswer: -344313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*d - 3*d + d)*(-d - d + 4*d) to the form p*d + w*d**2 + c and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*o + 2*n, -5*o = -0*n - n - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 + (-12)\/(-1). Suppose 2*h = -h + i. Suppose 152 - 47 = h*q. What is the remainder when q is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21) + (-2)\/3. Solve h - 1 + 2 = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (1320\/(-42))\/(8\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o. Let s(v) = v - 5. Give n(s(t)).\nAnswer: -6*t + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1213430 divided by 1\nAnswer: 1213430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.142599 - 0.042599. Let m be (1\/(-10))\/((-2)\/(-4)). Which is the smallest value? (a) m (b) i (c) -0.3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 6. Let j be 146\/10 - 46\/(-115). Suppose -10*z = -j*z + 50. What is the remainder when d is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = y + 5 - 10, 10 = 3*y - 4*t. Find i, given that 13*i**y + 15*i**2 + 3*i**4 - 2*i**4 - 60*i + 12*i**3 - 72 - 5*i**4 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Suppose 0 = -9*d + 11 + 178. Let u(a) = -341 + 341 + 3*a - d*a. What is u(l(b))?\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -5*r - 129 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4)*c**(-2\/21))\/(c**(-1\/4))**(-6\/5) assuming c is positive.\nAnswer: c**(359\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = w - 14, 5*w = -0*w + 20. Let g be (105\/20 + s)*0. Which is greater: g or 1\/91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -287, -288, -289?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 819.5 and -3477332705?\nAnswer: 3477333524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 - 195. Let s be (-22)\/2*(-2)\/2. Calculate the greatest common divisor of s and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from kkrkkkkkkkrk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18\/5, 1, -108?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + (12 - 4) + -5 + -12. Solve 2*l + 2*w = 14, -i*l + 3*w = -w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.7. Let q = h - -0.5. Let s = 0.5 - q. What is the second smallest value in 0.3, s, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -70. Let f = a - 97\/3. Factor 0 + 0*m - f*m**2.\nAnswer: -2*m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 107. Let i = -8.3 - -8. Which is the closest to -2\/5? (a) i (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 27*f + 74. Let z be d(24). Let n be z\/6 - (-1)\/(-3). Calculate the common denominator of 2\/11 - n - 675\/264 and 97\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*v - 111 = 0, -4*r + 9*r + 4*v - 303 = 0. Suppose -5*t - h - 19 = -r, -4*t + 3*h + 20 = 0. Is 144\/27*30\/t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 10*x + 11. Let v = 9 - 18. Let q be h(v). Suppose -5*l = 5*m - 10, -4*m - q*l + 3*l - 12 = 0. What is the smallest value in m, 0, 2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s + 162. Let t be n(-12). Solve -26*l + t = -24*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 21\/11, -0.6, 0.4?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -37. Let g(b) = 2*b**2 - 5*b + 18. What is the remainder when g(5) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = 3*u + 4*n, -3*n - 143 = u - n. Find the common denominator of -1\/5 and -2 - (-3 + u\/(-120)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -483 + 480. Put j, -2, 6 in increasing order.\nAnswer: j, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1812 divided by -7.\nAnswer: 1812\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 2 = 5*o - g, -2*o - 5*g = -26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvdddddvdvytt. Give prob of sequence yv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 668206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3*v**4\/4 - 2*v**3\/3 + v**2\/2 - 2*v - 3. Let s be l(-2). What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 11*m**5\/120 + 3*m**4\/8 - m**3\/2 - 8*m**2. Let z(q) be the first derivative of k(q). Differentiate z(v) with respect to v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13033333330 (base 4) to base 5\nAnswer: 441304130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*r + 27. Suppose 0 = -14*w - 6*w - w. Solve w = 4*a - 4, -r*z = -3*a - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -26141001?\nAnswer: 26141032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1635 + 21?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 2*q - 3. Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -23 + 3. Let j be 86\/(-10)*-1 - 2\/l. Let p(q) = q - 5. Let a be p(j). Solve 4*n = -x - a, 0*x - 4*n - 20 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:14 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/326 and -3\/47.\nAnswer: 15322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/360 + d**4\/24 + 42*d**3 + 30*d**2. Let z(p) be the first derivative of u(p). Let i = 1 + -3. Determine z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*9*(-10 - (-170)\/20). Calculate the least common multiple of 16 and (-10)\/3*(r + 21).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4)\/(g\/g**5))**(-1\/42))**(2\/41))**20 assuming g is positive.\nAnswer: g**(-85\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3188494, -6376987, -9565482, -12753979, -15942478, -19130979?\nAnswer: -22319482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b - 87. Let v be (0 - (3 + -2)) + -15. Let g be r(v). Solve 0 = -8*p - 23 - g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 819.9967ml?\nAnswer: 0.8199967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.55 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24130 + -24135. Which is the second smallest value? (a) 27\/4 (b) r (c) -1\/8 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*u + 5*v, 3*u - 27 = -v - 0*v. What is the least common multiple of u and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 8155 + 4109. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.822555 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*m*v - 6*i*v**2 + 363*i + 2*m*v - 14*v**2 - 45*v - 1 wrt i?\nAnswer: 2*m*v - 6*v**2 + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -14. Sort h, 1, 5.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5 - 2 + 523*y - 526*y + 5*y**2. Let q be z(1). Solve -1 - 4 = q*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 34*k + 15*k + 19*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u - 5*u - 2*u)*(-539*u**2 - 1300909589 - 7*u + 0*u**3 - u**3 + 1300909588) to the form l*u**4 + s*u**3 + k*u + x + r*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1241 or -1239?\nAnswer: -1241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(16\/(-60)*-5)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429608 is divided by 1074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 16)\/2 - 0. Let x = b - 7. Solve x = -3*w - j + 19, 4*j + 4 = 3*w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(174776 + 368*j**2 - 174776).\nAnswer: 736*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(4*l - 2*l - l) - 1 + l + 1 + (-3 + 8 + 4)*(0*l + 2*l + 0*l) as s + c*l and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -41606*s + 2537938. Calculate f(61).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -147.211.\nAnswer: -147.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**3\/3 - 7*a**2 - 2*a - 9231. Calculate u(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11472 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 36*k**2 + 10. Let c(l) = 2*l**3 - 35*l**2 + 11. Determine 2*c(n) - 3*w(n).\nAnswer: -2*n**3 + 38*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371*w**3 - 2*w**2 + 600 wrt w.\nAnswer: 1113*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1742 and -23.68.\nAnswer: 41250.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-g**2 + 235*g + 14 - 19 - 205*g) + 5*g + 5*g**2 - 5*g.\nAnswer: 6*g**2 - 30*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 43, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646210 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12 + 27506*s + 9 - 6.\nAnswer: 27506*s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14505561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 14*d**2 - 13*d - 33. Calculate t(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*z + 90 = 98*z. Is ((-420)\/25)\/(2\/z)*-1 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99\/2 - 2\/4. Let x = -33 + n. Let r = 157 - 109. What is the highest common factor of r and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 5*y - 2. Let f be r(-3). Let q be f\/(-3) + 5\/15. Suppose -c - 7 - 1 = 2*t, 0 = -c + q*t. Let a(w) = w**2 + 7*w + 5. Give a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Calculate (63\/(-36))\/(4\/(-50) + (-21)\/50).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 - 3*u - 1. Suppose -n + 3*s - 9 = -1, n = -4*s + 6. What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0967989 grams in nanograms?\nAnswer: 96798900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -2, 1, 3\/8, 153289?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636075 and 1725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 2*v + 19. Suppose 17*s = 3*o + 15*s + 21, 0 = o - 3*s + 14. Give f(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-280)*35\/294?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(144)\/(sqrt(30)\/sqrt(5)))\/(-1*sqrt(1152)))*-1 + -2.\nAnswer: -1 + sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -1. Let d = g - 1. Suppose -n = 3*o - 278, 0*o - n = d*o - 460. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63584?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22519.84 - 22520. Which is the third biggest value? (a) -4 (b) 0 (c) 0.1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 164986924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 21*m + 166. Calculate the remainder when k(-9) is divided by 106.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294814 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 5*c**4 + 0*c**3 - 17 + 11\/2*c**2 + 0*c. What is the second derivative of o(t) wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 17*w + 65*w - 57 = 22*w + 21*w, -14*w + 12*w + 9 = -5*w for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454 + 1438.588.\nAnswer: 984.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 + -985\/7. Let n = 1131845623\/363918 + 5\/181959. Let p = n - 3130. Find the common denominator of p and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - 16\/24. Solve y*i + 6 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 3 = -5*w, -4*w = -5*s + 14. Suppose -2*d + 484 = 4*v, -2*d + 514 = -0*d - s*v. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from {m: 2, v: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5729930 divided by 2\nAnswer: 2864965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(3\/13)*j)*j**(14\/9)*j assuming j is positive.\nAnswer: j**(272\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2466400086 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/((-216)\/(-30) + -6). Which is the second smallest value? (a) 0.5 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1955, -7672, -17201, -30548, -47719, -68720, -93557?\nAnswer: -122236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - f - 2 = 0, 1532*a - 1531*a + 4*f - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -13?\nAnswer: 25\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -96 + 33. What is the smallest common multiple of z and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*a - 185. Suppose -5*x = 5*d - a, x - 3*d = 2*x - 32. What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 94 + 11. Let q = 33 + r. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6)\/(-15)*8\/16.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-8 - (-9387)\/18). What is the units digit of -1 + 5 + -7 + u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5363 divided by -2\nAnswer: 5363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/12 + 4*m**3\/3 - 3*m**2. Let g(a) = 3*a**2 + 4. Let t(i) = -11*g(i) + 6*p(i). Differentiate t(z) with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4766848 divided by -28544\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y**5\/8 - 42675*y**4\/8 + 35853*y**3\/2 + 25269*y**2\/2 + 2022*y = 0.\nAnswer: -1\/3, -2\/7, 0, 4, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 151723 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 + 24*y**2 - y + 2. Let m be w(8). What are the prime factors of (-27)\/81 + (-6458)\/m?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 - 755 = 9*r. Let u be 354\/5 + 8\/r*12. Calculate the highest common factor of 42 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 24. Suppose v*m = 10*m - 30. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 bigger than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s + 302*s**3 - 4*s**2 + 4*s - 301*s**3 - 2*s.\nAnswer: s*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from fwcw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38775 + 87584. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-2*sqrt(1088))**2 + ((1 + sqrt(68) + sqrt(68))**2*-6 - sqrt(68)))*-2.\nAnswer: -100*sqrt(17) + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2\/3*s**3 - 4*s - 5 + 0*s**2. Let h(k) = -k**2 - 3. Give 4*h(n) - 3*m(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -19*p**3 - 4*p**2 - 170*p + 7. Let y(x) = 14*x**3 + 3*x**2 + 113*x - 5. Give -5*s(j) - 7*y(j).\nAnswer: -3*j**3 - j**2 + 59*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2 - (-54)\/(-2)). Suppose 4*b - 15 + 3 = 0, v = 2*o - b. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + (-44 + -49 - -35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-4)*(-245)\/686.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**9\/10080 + d**6\/720 - d**5\/10 - 6*d**2. Let a(h) be the third derivative of g(h). Find the first derivative of a(o) wrt o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 3 - 3 + (-7*j + 3*j + 3*j)*(544 + 4*j**3 + 2*j + 271*j**2 - 277*j**2 - 539) to m + b*j + q*j**4 + w*j**2 + g*j**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:18 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19744 greater than 19787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110042 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 1, 27, 63?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 - 28 = 73*w + 54 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 5*k + 4*d - 58, 3*k + d = 204. Calculate the common denominator of -3*1 - k\/40 and (236\/10)\/((-8)\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/9 + 20*t**4\/3 + 554*t**3\/9 + 520*t**2\/3 + 1352*t\/9 = 0.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - -1001111000?\nAnswer: 1010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/4 - 17*r\/4 - 15\/2 = 0. Calculate r.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521739 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1 - 2 + 494*m + m**2 - 493*m + 3. Give l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0)**2*3*4*1.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2 = 4*h, 24*s - 28*s = 2*h - 34 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 20 = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77.33046876 + -77.33. Round p to 6 decimal places.\nAnswer: 0.000469","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Is (g - 1)*144\/6 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -13 - (-3 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347270110.\nAnswer: 2, 5, 11, 3157001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 454*m + 35. Let v be k(10). Suppose -12*s + v + 1497 = 0. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x**4 + 0*x**3 + 0*x + 0 - 3*x**2 + 7\/60*x**5. Let y(g) = 165*g + 169*g - 331*g. What is y(u(v))?\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/494 + (-425)\/910. Which is the third biggest value? (a) 16 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + (-2 - -4). Let d(l) = -6*l**2 + 13*l**2 - 4*l - q - 6*l**2. Give d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47176.99 rounded to the nearest 100?\nAnswer: 47200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 7116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -18*g + 15*g. Suppose 4*q - 696 = -4*s, -7*s - 4*q + 874 = -2*s. Calculate the remainder when s is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.322225ug?\nAnswer: 0.000004322225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*y + 3438, -3*d + 3*y + 1329 + 1272 = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097.6676 take away 0.4?\nAnswer: 1097.2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -690768 (base 14) to base 6.\nAnswer: -204335000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -102*a**2 + 3*a - 340. Let k(z) = -31*z**2 + z - 113. Determine 3*g(l) - 10*k(l).\nAnswer: 4*l**2 - l + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyej when four letters picked without replacement from eiyjixjy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 523, 524, 525, 526, 527, 528?\n\"Answer: n + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 62*w + 1. Let p be j(-21). Let m(b) = b**3 + 3*b**2 - 3*b + 3. Let n(u) = -5*u**3 - 11*u**2 + 11*u - 11. Calculate p*m(g) + 6*n(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85670542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 2 + 4 - 2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 103.\nAnswer: 72\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**2 + 25*d + 2. Let y be j(2). Let q be ((-1)\/3)\/((-11)\/(-6)). Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c0b (base 13) to base 6\nAnswer: 45441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10416 divided by 12.\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 + 60*q**2 - 110*q**2 - 1379*q.\nAnswer: -7*q**2 - 1379*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u**2 - 4155*u + 79201. Calculate g(326).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194142?\nAnswer: 2, 3, 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 273573151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) 1 (c) -6593 (d) 1\/7 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -231, -528, -913, -1434, -2139?\n\"Answer: -8*w**3 + 4*w**2 - 253*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 6493 = 64733. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1276 divided by -1276\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 46. Let w = t + -9. Is 13 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**2 + 105246*g - 1391072 wrt g.\nAnswer: 10*g + 105246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 386*x. Let p(n) be the third derivative of 0*n**3 + 0 - 1\/30*n**5 + 30*n**2 - 2*n + 0*n**4. Determine y(p(w)).\nAnswer: -772*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1591 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-3\/5)))\/f**7 assuming f is positive.\nAnswer: f**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**3 + 0*r**3 + 5*r**3)*(2*r - 4*r + r) + 32*r**4 + 27*r**4 + 51*r**4 + (1 - 3 + 1)*(-22*r**2 + 22*r**2 - 14*r**4).\nAnswer: 125*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689352 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 62*p - 64*p. Suppose 7*d = p*d - d. Factor 0*c + 0*c**3 + d - 2\/3*c**4 + 2\/3*c**2.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 6*x = 11*x - 7, 3*x = 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -828.42 * -109.8\nAnswer: 90960.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8))\/(-2 - (-13)\/4). Suppose -2*w + v + 3*v = -4, 5*w + 5 = -5*v. Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/4, -0.015, -2\/9 in descending order.\nAnswer: 5, -0.015, -2\/9, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**3 + 3*o**2 - 21*o - 24. What is the remainder when 360 is divided by u(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 10 + s**3 + 7*s - 25 + 12 to l*s + q*s**2 + y + p*s**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 71294532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102103131 (base 4) to base 3\nAnswer: -10210211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -169 (b) 19 (c) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24339893 to the nearest integer?\nAnswer: 4934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6059, -357.\nAnswer: -357, -4, 6059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -157\/5*d**2 - 112\/5 + 246\/5*d + 24\/5*d**3 - 1\/5*d**4.\nAnswer: -(d - 14)*(d - 8)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1652581048 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/15, 167, -4\/45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82544.67mg to grams.\nAnswer: 82.54467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3\/(-36))\/(30186\/432 - 73)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112\/141 + -6\/47. What is a in p*a**2 + 0 + 2\/3*a**3 - 2\/3*a**4 - 2\/3*a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 43. Let b be d(18). Suppose -5*m - 1812 = b*m. Let j = m + 906. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6)*r*r)\/r**(1\/19) assuming r is positive.\nAnswer: r**(170\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 405209.7 years?\nAnswer: 40520.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 45. Let k be r(-12). What is the hundreds digit of k\/((-3)\/(-455)) - (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 727, 835, 869, 793, 571, 167, -455?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 147524676 - 5?\nAnswer: 147524671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -199, -202, -207?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6*6\/(-54))\/((-4)\/6))\/(5975\/669200)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 305*d**3\/4 + 623*d**2 + 939*d.\nAnswer: -d*(d - 313)*(d + 2)*(d + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 756 = 308*x + 6258 + 318 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8982918 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - u**2 - 2*u + 2. Let x be o(1). Let h be x + 7*141*-1. Let y = 7883\/8 + h. Calculate the common denominator of 70\/9 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76607\/24 + -3192. Put 2, n, 0.05, -0.3 in descending order.\nAnswer: 2, 0.05, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Suppose s = -d*s + 108. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let s(c) = 2*c**2 - c + 11. Let z(i) = -10*i**2 + 4*i - 54. Let q(g) = -14*s(g) - 3*z(g). Give -5*j(k) + q(k).\nAnswer: 2*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518671 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 4880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 18*m**2 - 36*m - 147. Calculate o(-9).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-825 + 410 + 414 + 17*t)*(2 - 2 + t)*(-1 + 5 - 2) to q + b*t + w*t**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1993 + -1985. Solve 2*m - 22 = -4*a, m = -3*a + t + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - q + 9179, -3*p - 2*q - 22294 = 5228. Is (3\/6)\/((-31)\/p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-35))\/((-112)\/(-40)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 5. Suppose 6 = -a - 2*a. Suppose 3*n = -f + 37, -2*f + 72 = 5*n + 9. What is the least common multiple of x(a) and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*m**4 + m**2 + 228*m**4 - 11*m**6 wrt m.\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + p + 3*p + (p + 2*p - 2*p)*(57 - 2 - 28) + 19*p + 89*p + 41*p.\nAnswer: 178*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19000, 37943, 56884, 75823?\nAnswer: 94760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/7 + 3*g**2\/7 + 36*g\/7 = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/40, -2, 1, 5\/14 in decreasing order.\nAnswer: 1, 5\/14, 1\/40, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*w - w**2 + 28*w + 217*w**3 - 2*w**4 - 441*w**3 + 222*w**3 in the form x*w**3 + h*w**2 + v*w**4 + o + t*w and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322026 (base 8) to base 15.\nAnswer: 21ce7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -n - 4*h, 21 - 4 = -19*n + 17*n + 6*h - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(3\/27). Let t be (0 - (-11)\/(-3)) + a. Which is bigger: t or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 0 + 2*s - 15 + 6. Let o be t(-13). Suppose -8*x = -o*x + 12. Put 4, 7, x in descending order.\nAnswer: 7, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 3367*w**2 - 1357074*w\/5.\nAnswer: -w*(w - 16754)*(w - 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1662, -2, 4 in decreasing order.\nAnswer: 1662, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 4*i. Let a(f) be the first derivative of 1 + 0*f**2 + 1\/3*f**i - 1\/2*f**4 + 0*f. Find the third derivative of a(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1083 + -19441\/18. Calculate the common denominator of -95\/24 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12*(4 - (-4495)\/2). What is the highest common divisor of c and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - q + 1 + 1. Let d(b) = b**3 + 7*b**2 - 9*b - 9. Let k be d(-8). Let z(t) = t**2 - t - 1. Let o(c) = c. Let j be o(-2). Give j*z(l) + k*p(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -1, 0.5, 0, 0.11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3018499 and 130449.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29453*r**3 - 26062*r**3 - 142236*r**3.\nAnswer: -138845*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -3\/8, -1, -1\/6, -0.2, -0.0129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1849*y**4 + 47*y**2 - 97*y**2 + 47*y**2 - 198*y**4 - 60*y wrt y.\nAnswer: 39624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5, 807*b - 809*b + 25 = -3*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 5858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaattatataataa. What is prob of picking 1 a and 2 t?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 925247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/5093 and -42\/5093.\nAnswer: 5093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8094397*z. Let t(b) = 6*b**2. Give t(u(i)).\nAnswer: 393115576761654*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174375886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 261.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (628*l**2 + 776*l**2 - 1125*l**2)*(-22*l**3 + 12*l**3 + 24*l**3).\nAnswer: 3906*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -347 + -11041740?\nAnswer: -11042187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, v: 1, e: 3, j: 1, t: 5}. What is prob of sequence xjev?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6957 and 0.3.\nAnswer: 6957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 801 + -784. Solve -3*s + b = -2*x, x + 11 = 5*s - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 times -0.86458\nAnswer: -4.409358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t)\/t*t*t**(-5\/7)*t*t**10\/t**(-6) assuming t is positive.\nAnswer: t**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 0.5, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1061611 - -1109383276\/1045. Let h = g - -2\/209. Let x be 2\/(-11) - (-26)\/22. Which is the closest to x? (a) -5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(36)\/sqrt(4)))\/(sqrt(28)\/(-1*sqrt(7))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)\/(sqrt(847)*-1) + -3 + (-4*(1*sqrt(162) - sqrt(162)))**2)*5.\nAnswer: -15 - 10*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -29 + (-3 - -12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 6*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1600\/(-560))\/(-10)*2\/16*-7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223005 plus 111?\nAnswer: -222894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18495018 and 20254?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5911 and 453091?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111022012010010 (base 3) to base 5.\nAnswer: 3302214201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419\/9 - 139\/3. What is the nearest to -0.02 in 3, 0.19, g, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n + 70. Calculate c(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/575 - 119722\/575. Let t = 5731\/30 + r. Calculate the common denominator of 63\/86 and t.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184154 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n + 1. Let s(r) = 6*r**2 - 10*r - 6. Give s(w) + 8*v(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000416598065 rounded to 7 dps?\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 24 - 6 + 2*h - 4*h - 4*h + 6*h + h + h + 0*h + (-4*h + h + h)*(-1 - 2 + 1) + (3 + 4 + 2)*(-h + 0 + 0).\nAnswer: -3*h - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/120 - 2*v**5\/15 - 5*v**4\/24 + v**3\/6 + 3*v**2. Let h = -2059 - -2052. Determine g(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 - sqrt(76))\/sqrt(2) + sqrt(152)\/sqrt(4)*-4)\/(-3*sqrt(2)*2 - sqrt(16)\/(sqrt(8) + sqrt(128))) + -1.\nAnswer: -1 + 20*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a + 42 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 932, 1575, 2240, 2927, 3636?\nAnswer: 4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (91*c - 311*c + 149*c)*(-2*c**2 - 4*c**2 + 2*c**2) in the form b*c**3 + a*c + n*c**2 + j and give b.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*l - 26 = 2*l, -4*b - 4*l - 24 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/55)\/(4\/30). Suppose 104 = -c*g + 4*g. What is g rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70327.63 kilometers in centimeters?\nAnswer: 7032763000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 7*h + 8780 = 0. List the prime factors of h.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*t. Suppose -3*p + 5*z = -17, -p + z + 3 + 4 = 0. Suppose p*d - t*d - 18 = -y, -6 = -4*d - 5*y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -21*t - 204 - 23, 79*d = 84*d + t + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -1, 20352, 0.96, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-18))\/(2763\/(-27)). Let w = 60107\/20262 - l. Calculate the common denominator of -139\/6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 8*f**2. Let z be b(-8). Let g(w) = -w**2 - 4*w + 7. Let x be g(-5). Solve z = x*j + 3 - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -752*a - 27822. What is k(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -1498.7 + 1499.09. What is the second smallest value in a, 4, -3, -60\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 74894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -1\/4 (b) 5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 168, 105, 38, -33, -108?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**3 - 4*o**2 + o - 4. Let u(m) = m**3 - m**2 - 1. Calculate l(y) - 6*u(y).\nAnswer: 2*y**3 + 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 + ((-8)\/20)\/1. Let c be ((-1 - (-8)\/10)*d)\/(-1). Let 0 + 5\/3*i**4 + 0*i - 4\/3*i**5 - 1\/3*i**3 + c*i**2 = 0. What is i?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i**0*i)\/i)\/i)**(-18)*(i*((i*i*i*(i\/i**(2\/13))\/i*i)\/i*i)\/i*i*i*i)**36 assuming i is positive.\nAnswer: i**(3204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3288122 (base 10) in base 6?\nAnswer: -154250442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 860\/140 - (-5)\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -114*(11\/3 + -4). Let f = c - 29. Let u = -32 + 37. What is the least common multiple of u and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 27, 90, 209, 402, 687, 1082?\n\"Answer: 3*o**3 + o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((36\/(-51))\/(-2))\/((-3)\/(-2)). Is -1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a - 7. Let n be h(-3). Suppose -4*l - 52 = -d + 20, -2*l = 2*d - 164. Calculate the highest common factor of d and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**4*j**(3\/7)*j\/(j\/(j\/(j*j**6\/j)*j))*j**(-3\/5)*j assuming j is positive.\nAnswer: j**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 718*y - 743*y + 350 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254679431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934612305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/((z\/z**(6\/7))\/z))\/((z**3*z)\/z*z*z)*(z*z\/(z*z**2)*z*z)**26*(z\/(z*z**(2\/7))*z\/z**(-12))**(6\/13) assuming z is positive.\nAnswer: z**(2887\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26 and 39381.7221.\nAnswer: 39355.7221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = 33*n - 108*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 81*1\/5 + (-12)\/60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p**3 - 3*p**2 + 2*p - 1. Does 20 divide o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13056, 52114, 117222, 208386, 325612, 468906?\n\"Answer: l**3 + 13019*l**2 - 6*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 2. Let z = 4.11 - 0.11. Let h = i + z. What is the third smallest value in -2, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u - 307 = -40*u. Suppose -u - 333 = -5*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7287*s + 531949. Calculate a(73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 6*p - 3. Let g be a(6). Suppose 0*v = v - g. Suppose -n + v = -0*n. What is the greatest common factor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215 = y + p, -4*p = -5*y + 4227 + 1812. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (2 - (5 + -10))) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -2\/3, 0.5, -9, -22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 + 568260*i - 322919427600.\nAnswer: -(i - 1136520)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/((-3510)\/(-104) - 36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 14. Is 2 + (-32)\/w + 11853\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 11*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 4 - 439\/(-146). Let j = v - -1276\/219. Find the common denominator of j and (29*(-2)\/22)\/1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let a(y) = -27 + y + 27. What is w(a(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 5*o. Let u(s) = -7*s**2 - 12*s + 3. Calculate 5*a(c) - u(c).\nAnswer: -3*c**2 - 13*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*z**2 + 260*z**2 - 70*z**2 - 59*z**2 - 63*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 + 414*i**2 - 851*i - 249. Determine m(57).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 6) to base 14\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2019.07 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 7 = -3*v, -2*c + 0*v - 4 = -v. Let l be c\/(-3 + 22\/8). What is the second derivative of -10*y**5 + 4*y - 5*y**4 + 5*y**l + 6*y**5 wrt y?\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4359 - 554152182.\nAnswer: -554156541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1356666721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -65\/2. Let i = 3.23 - -0.77. Which is the nearest to q? (a) i (b) 2\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/5506 and -25\/244793.\nAnswer: 1347830258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 505*i**4 + i**3*m + 40*i*m + 7*m - 1 wrt i?\nAnswer: 6060*i**2 + 6*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100100010 (base 2) to base 5.\nAnswer: 101422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3*r**2 + 3*r - 1. Let h be j(4). Let o(c) = -c**3 - 2*c**2. Let x be -3*(-3)\/((-18)\/4). Let n be o(x). Put -1, n, h in increasing order.\nAnswer: h, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -591820 by 29591.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:34 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(3)) + -4 + sqrt(12)\/(sqrt(4) + 2*sqrt(100)).\nAnswer: -54*sqrt(3)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 4\/15 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 114, 157, 196, 231, 262, 289?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 1, 5, -185?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 43719\nAnswer: -5\/14573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let a(h) = -3*h**2 + 2*h**2 - h - 2*h - 1. Let i(b) = b + 27. Let l be i(0). Suppose -z = 5*u - l, 2*z + 4 = u + 3. Calculate z*a(q) + 5*g(q).\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(sqrt(7)*-2 + sqrt(7)) + (sqrt(567) + 0 - sqrt(567))**2) - (2 + sqrt(49)\/(sqrt(112) + sqrt(7)))**2*-1.\nAnswer: -146*sqrt(7)\/5 + 107\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 + s. Let h(q) = -15*q**3 + 2*q. Suppose -29*z + 32*z - 5*j = 26, -5*z + 4*j = -39. What is z*n(y) - 3*h(y)?\nAnswer: -4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3492\/1940)\/(5\/(-1000)*-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + 1 - (7 - (2 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2324030 + 465321.\nAnswer: -1858709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2985)\/264 + (-24)\/(-132) + 11.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 26880?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 55. Let w = t + 22. Which is bigger: w or -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9149?\nAnswer: 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-24)*-1*-24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 10*c**3 + 28*c + 4*c**3.\nAnswer: 14*c**3 + 38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5\/9 + 69308*j**4\/9 + 1109324*j**3\/9 + 4021672*j**2\/9 + 554786*j\/3 - 762740 = 0.\nAnswer: -11, -3, 1, 34670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6252515 (base 7) to base 14.\nAnswer: 15830c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 6. Let w(y) = 5*y - 7. Let f(u) = 3*q(u) - 4*w(u). What is the units digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97926349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 243459150329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.3 - 153.3. Let z = j + 132. Sort z, -0.4, 0.13, -2 in decreasing order.\nAnswer: 0.13, -0.4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/7 + 24*r**4\/7 - 2*r**3 - 456*r**2\/7 + 736*r\/7 + 1152\/7 = 0. Calculate r.\nAnswer: -4, -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 4*r - r + r**2 - 3*r.\nAnswer: r**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -117107*l + 4567202. Determine w(39).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - 1 - (45 + -39 - -4)) + -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*s - 10, -10 = -2*s + 2*n + 3*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -92771, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3973571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45376461 divided by 1163499?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -645.1 + 737.1. What is the fourth biggest value in 3, -1\/3, i, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77348*o - 3675 = -77423*o for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/5055 and 101\/96.\nAnswer: 161760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111100010111111 (base 2) to base 14.\nAnswer: 253099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56083 or 0?\nAnswer: -56083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 452.5789 + 1.687\nAnswer: 454.2659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y - 4. Let v be -3 + ((-8)\/y)\/1. Let s(q) = -q**2 - 7*q - 2. Give s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.18 + -0.18. Let k = 27 - z. Which is the closest to -1? (a) k (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 = 24*t + 602 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -25 - 13 + 3*z - 9*z. Let i be c(-7). Let j(r) = -3*r + 8. Determine j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n + 42. Let b(c) = -21*c + 91. Let d(f) = 6*b(f) - 13*g(f). Let k(z) = -121*z**2. Determine k(d(r)).\nAnswer: -1936*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let s(d) = d**2 + 6*d. Let h(n) = 2*n**2 + 11*n. Let z(j) = y*h(j) - 11*s(j). Factor z(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -594 or 0?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -5)\/(3\/(-2)). Let x = -3\/4 + 5\/12. Let h = 76\/111 - 2\/111. What is the closest to h in -1\/4, s, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84227 and 3887?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*y**2 - 1272*y**2 + 26*y**3 - 3*y**3 + 3*y**3 - 27*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530098*z + z**3 - 5*z**3 + 530098*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/26)\/(77\/56*6).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -377*t - 2282. Give s(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57202602 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694165 is divided by 673527?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -3*t**4\/4 + 11*t**2\/2 - 8*t. Differentiate v(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/793 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 9*b**2 - 10*b + 5. Let k be n(-10). Suppose -3*c = -k*c + 76. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -31*r - 3. Let v(m) = -m - 5*m - 4 + 4 + 7*m. Determine s(v(d)).\nAnswer: -31*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 5*l. What is the third derivative of i(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8699 - -3890. What is the hundreds digit of (y\/(-6) - 3) + (-2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4743\/(-155) - -33)\/(-1*138\/20).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8394 milligrams in tonnes?\nAnswer: 0.0000000008394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 229*g - 719. What is the units digit of s(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Let w = 9 - q. Let v be 10\/4*500\/625. Solve -w*o - 6 = -v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118721 - 14*w + 17*w + 237407 - 118687.\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 19*n - 26. What is x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3473332?\nAnswer: 2, 139, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70898.7 less than -10?\nAnswer: -70908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (8 - -8) - (2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*w - 1591 = 12256 - 1559 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 1. Let c(f) = -8*f**2. Suppose 0*z + 5 = 5*z. Let j be (z - 5)*2\/8. Let g(u) = j*c(u) - 6*i(u). Differentiate g(y) with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3\/5, -352655, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -330 in 6\/11, -3, 1\/3, -0.5, 279, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u - 178. Give s(0).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1557154 (base 8) to base 4.\nAnswer: -1231321230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6618340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 94*a**2 + 8*a + 6. Let v be o(3). Find the common denominator of -32\/49 and (9\/168)\/(4362\/v + -5).\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107409177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 6. Let u(y) = 7*y + 3. Let b(m) = -12 - 6 - 7 + 16*m + 33. Let v(t) = -3*b(t) + 7*u(t). What is -4*p(j) - 9*v(j)?\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300))**2 + sqrt(300) - (sqrt(24)\/(2*sqrt(8)) - sqrt(3))**2.\nAnswer: 10*sqrt(3) + 10797\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmnpmppnpnn. Give prob of sequence ppp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuui. Give prob of picking 1 i and 2 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -352, -2911, -9836, -23305, -45496, -78587?\n\"Answer: -363*c**3 - 5*c**2 - 3*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87548\/99255 + 32\/(-52).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/7 (b) 0 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046283 rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299)*2 + sqrt(19))**2.\nAnswer: 10049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-6)\/p)\/p)\/p*p**(-1\/14))\/((p**(-2\/7)*p)\/(p\/(p*p\/p**(2\/7)))))**(-4\/9) assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**4 + 6*i - 3*i**2 - 3*i**4 + 2 - 4*i + 3*i**4 as u + g*i + r*i**4 + q*i**3 + s*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 6 = 0. Let x be ((-6321)\/(-43))\/(18 - -3). Put -3, x, 1, y in ascending order.\nAnswer: -3, 1, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.63 + -67.806?\nAnswer: -70.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((3\/(-4))\/(45\/36)). Let j = 12 - 33. Which is the second biggest value? (a) -2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12916, 25804, 38692, 51580?\n\"Answer: 12888*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.29, 2\/11, -0.01, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.1, 1, 0.2, 0.001, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*u - 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 55\/(-5) - (-6)\/2. Let t = m - -7. Does 35 divide 107 - (t + 3) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12) - 126\/(-432). What is the biggest value in -5, -0.4, 5\/9, j?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -292, 0.2, -404, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 2*i. Suppose -q = 5*k - 2*q - 59, -5*k - i*q + 64 = 0. Suppose z - 2*z = -k. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 6, -3 in ascending order.\nAnswer: -3, 2\/27, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.797 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095015 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -45bb2173?\nAnswer: 45bb2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0*p**5 + 1\/3*p**4 + 1\/14*p**7 + 0 + 0*p**3 + 22*p**2 + 0*p**6 + 0*p. Find the second derivative of q(f) wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61759 times -0.07?\nAnswer: -4323.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6301 (base 8) to base 6\nAnswer: -23041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 3, -5, -89057, -3, -2 in descending order.\nAnswer: 33, 3, -2, -3, -5, -89057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 4*v**5 - 105*v**4\/4 + 55*v**3 - 95*v**2\/2 + 15*v + 18. Suppose o(z) = 0. Calculate z.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a = -112*a + 75006. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -5, -3, 5, 468, -39 in decreasing order.\nAnswer: 468, 5, -3, -5, -25, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 160\/35 + 3\/7. Suppose 291 + 709 = l*f. Let q = f - 95. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 110*t + 70. Let v be u(-2). Is 31 a factor of 14*1*(-2325)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3225 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 3 - 8 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/85)*n*n*n\/(n*n**(-9\/5)*n)*n**(2\/35)*n\/(n\/(n\/(n\/n**(2\/11)))) assuming n is positive.\nAnswer: n**(20044\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 312 + 265829?\nAnswer: 266141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(2673)*2)\/(sqrt(11) - (sqrt(11) + sqrt(176) + sqrt(176)*-2)) - (4*sqrt(12)\/sqrt(4) - ((sqrt(3) - sqrt(3)*-2) + -4))*6))**2*-6.\nAnswer: -4881\/2 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*t - 325, 0 = t + i + i + 164. Let h = t + 370. Is h\/14 - 10\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 12*t**2 - 12*t + 13. Let k be i(-13). Suppose 3*p - p - 68 = k. Suppose 0 = -6*y + 69 - 9. What is the least common multiple of y and p?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7864946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107212760, -214425524, -321638288, -428851052, -536063816, -643276580?\nAnswer: -750489344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68023.\nAnswer: 68023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -8\/3, 55, -3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i**4 + 0*i**3 + 2*i**2 - 5 + 0*i**5 + 0*i - 1\/3*i**6. Find the second derivative of a(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 + 213. What is the second biggest value in f, -1, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 11:30 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -148, -5 in ascending order.\nAnswer: -148, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (41 + -101 - -59).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068067 divided by 121651?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*p + 1243, -9*p + 2471 = 2*s - 4*p. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, -4, -1, 2.\nAnswer: -4, -2, -1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(30)\/sqrt(5))\/sqrt(3) - (sqrt(2) + -1*sqrt(2)*1))*-2)**2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7256 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r**2 + 1. Calculate u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by ((-4)\/(-6))\/(-14 - (-30000)\/2142)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38155602 divided by -4\nAnswer: -19077801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -419\/11578 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-80*w - 78*w + 19*w - 46*w) to n*w + s and give n.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/30 and -41\/306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -75. Which is the closest to t? (a) 2 (b) -19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpr when three letters picked without replacement from ftbrbdppbptppbp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 9*x)*(-1 + 10*x**3 + 76*x - 76*x).\nAnswer: 50*x**4 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3855, -7608, -11373, -15156, -18963, -22800, -26673?\nAnswer: -30588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192903968, -192903969, -192903970, -192903971, -192903972?\nAnswer: -192903973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 times -34?\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -12. Let m = -1 + l. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4\/12 - 5*i**3\/6 + i**2\/2 - i + 4. What is y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9656 = -4*h, j - 3224 = 74*h - 78*h. Suppose -j = 83*n - 86*n. What are the prime factors of n?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 967126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 33. Let h be n(-4). Suppose 18 = m + h. Calculate the remainder when 18 is divided by m\/12*-14*40\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + 160. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 9dc3?\nAnswer: 9dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a + 288. Determine g(-54).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -673.4 + 702.41. Let p = -28.74889 + d. Let o = 0.26 - p. What is o rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 290\/23?\nAnswer: 290\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.2412 and 6516.303.\nAnswer: 6511.0618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -8.1. Let g = 7.1 + j. Let p = 1 + -1.2. Which is the biggest value? (a) g (b) p (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.7124 milliseconds in weeks?\nAnswer: 0.000000841125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 52 = -19. Let v be 3\/(k\/2) - 2093\/(-77). What is the highest common factor of v and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3907.843, 3 in decreasing order.\nAnswer: 3, -0.1, -3907.843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**44*z*(z\/(z**13*z))\/z assuming z is positive.\nAnswer: z**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 4?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2. Let d(x) = 3*x**2 + 4*x + 4. Let a be 3\/((-45)\/42)*-5. Let j(f) = -f**2 + 15*f - a*f + 1 + 2*f**2. Let t(l) = d(l) - 4*j(l). What is y(t(z))?\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**1*u**(-1\/9))\/((u*u**12*u)\/((u**(-5)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-280) + 2 + 24\/(-15) + 3237\/(-25896)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 6. Let o be j(8). Calculate the remainder when 15 is divided by (-1 - o) + 2 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 6 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 332\/(-5). Suppose 76 = 5*f - 104. Suppose 6 - f = -5*b. Calculate the greatest common divisor of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) 0.1 (d) -2\/13 (e) 2\/9 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -6*u + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from bbububbggbbubbbbbg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 7. Let p(s) = -1. Let z(r) = -j(r) - 6*p(r). Suppose 42 = 19*c - 12*c. Give z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 16\/(-20))\/((-50)\/(-93371750)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-39))\/((-875)\/(-6825))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)\/(n**(2\/3)*n))\/((n*n**(2\/5))\/n*n**(-2\/11)) assuming n is positive.\nAnswer: n**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*h = h + 8, -3*u + 3*h - 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-3)\/(9\/(-2)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.554415 years?\nAnswer: 0.03554415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 - 3*l**4 + l**5)*(4 - 6 + 1 - 2 + 0 + 1 + (-3 + 1 + 1)*(-2 + 3 - 2) - 1 + 0 + 3 - 5 + 4 - 5).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -15, 3\/10, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.3, -0.50084, 91 in descending order.\nAnswer: 91, 4\/7, -0.3, -0.50084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 15\/(-3) + 1. Let y be (0 + 25)*(-2)\/r. Suppose -s - 2*u + y = 3*u, s - 37 = 4*u. Solve -p + 10 = 3*p - 2*t, 0 = -5*t - s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + -35. Let b = r + 38. Is -1\/20 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 9*z - 10. Let p be i(-5). Solve -14 = 3*w + 2*h, -3*w + 8*h - p = 6*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15079487833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*z - 200*z + 2287 = -604*z - 3553 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 384714?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 19. Let t(l) = -5543 - l + 11086 - 5534. Give -2*p(v) + 5*t(v).\nAnswer: -3*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -6766790913.\nAnswer: -6766790913.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3258370 take away 9?\nAnswer: -3258379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 11*w - 56*w)*(1 - 1 + 1)*(-w - 1 + 1 + 5*w - w - 5*w + (0 + 0 + 1)*(-w - 4 + 4) + 2 - 2 - w).\nAnswer: 196*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 0*c**2 + 3*c**2 - 3 + (4*c - 4*c - 3*c)*(10*c + 2 - 2) - c**2 - 2 + 2.\nAnswer: -28*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/5 (b) 0.4 (c) 1 (d) 109\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54361.346902 + 54657.34689983. Let q = -296 + b. Round q to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*k + 5 - 13 + 4 + 2 in the form x*k + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyyy when four letters picked without replacement from {l: 4, y: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 15, -3*l + r + 63 = -15. Suppose 0 = q - 5 + 1. Solve -b = q*b + l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)*-1 - -20. Let b = 1515 - 1513. Suppose 5*q = h + y, -b*q - 3*h = -4*q + 18. Solve -q*d = d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8860 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116524534.\nAnswer: 2, 7, 139, 59879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -0.03884, -30, -3?\nAnswer: -0.03884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 4*y - 55 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*o**4 - 3*o + 7*o**2 - 4*o**2 - 5 + 3*o wrt o?\nAnswer: -432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = -w, -5*d = -0*w - 2*w - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2601*r + 2604*r - 33, -2*u + r = 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/28*-4 - -1. Let j be 48 + (-1 + 1)\/1. Is (-3)\/(-3) - (o - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/13 - 787\/494. Find the common denominator of h and (-60940)\/(-831)*(72\/33)\/4.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2 + 0 - 4). Let g(l) be the first derivative of -r*l**4 + 1\/3*l**3 + l**2 - l - 3. Factor g(t).\nAnswer: -(t - 1)*(t + 1)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/12 - 5*c**4\/6 - 10*c**3\/3 - 6*c**2. Determine b so that x(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxxxxxxxxsxx. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -40\/21727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 6*m + 44*m. Let v(x) = -2*x**2. What is v(s(a))?\nAnswer: -2738*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 289 = 49*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 5*n - n + n - 2*n.\nAnswer: 5*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = -31*i + 408. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - 4*y - 6, -d = -2*y - 15. Let t(p) = 6*p**3 - p**2 + 3*p + 7. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.9. Put -1\/6, 1\/2, d, 4 in increasing order.\nAnswer: -1\/6, d, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**7\/280 + f**6\/90 - f**3\/3 + 2. Let l(h) be the third derivative of j(h). Find the third derivative of l(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 75*x**2 - 80*x = 0?\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + d9beee?\nAnswer: d9bee9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.03 - -8. Let s = -10.03 - f. Let m = 10.1 + s. Which is the second smallest value? (a) m (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/18*(-8 - (3 - 10)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 10*r + 0.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 894568 to the power of 1\/2, to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 58. Suppose 5*x - 4*w - c = 0, -x - 7*w + 1 = -2*w. Solve 4*o + x = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24452569303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5770*u - 299. Let x be h(-5). What is x rounded to the nearest 100?\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:56 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 233*j - 10. Let k be h(4). Suppose 5*u - 33 - k = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*y - 9337 + 90607 = 407*y for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6840, -6746, -6652?\nAnswer: -6558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*y - 16, -4*w = 290 - 286 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 - 3*d**2 - d**2 - 6*d**2 + d**2 - d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-13)\/(-65))\/(-2*(-11)\/(-385)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3812440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 26, 45, 66, 89?\n\"Answer: m**2 + 14*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (18 - (51 + -17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15\/83, 0.5, 0.7, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382659348*h**4 + h**3 + 1767*h**2 - 9*h - 2.\nAnswer: 9183824352*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 997, -0.2 in descending order.\nAnswer: 997, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58805 + 40040. Let h = -18764.971177 - o. Let w = h + -0.029. Round w to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -580737.4 and -7.\nAnswer: 4065161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 11*c**2 - 8*c - 16. Calculate g(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**3 - 19*x**3 - 22*x**3)*(-2 + 2 - 5) as b*x + r*x**2 + s + k*x**3 and give k.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.079867 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -70, -105, -140, -175, -210?\n\"Answer: -35*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13537968.\nAnswer: 2, 3, 89, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4906 = -130*g - 2363 + 4667 + 4230 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -112a?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26499587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -101275 equal to -100642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8642768 or -8642760?\nAnswer: -8642760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*243\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1117, 1132, 1147?\n\"Answer: 15*f + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 60*c**2 - 245*c + 928. Determine v(26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3291849*b*n**2 - 2585638*n**2 with respect to b.\nAnswer: 3291849*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10669344 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079\/216 - 10 - 168598\/(-16).\nAnswer: 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -14011120031?\nAnswer: 14011120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 158?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**14\/l))\/l*l*l*(l\/l**14*l)\/l)**31 assuming l is positive.\nAnswer: l**(-744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 9. Let i(g) = -7*g**3 + 5*g + 5. Let t be i(v). Does 17 divide t - (-4 - (-6 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/28)\/(184\/644).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13705963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 + 33.1.\nAnswer: 63.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x + 8. Let d(k) = k**3 + 11*k**2 + 11*k + 4. Let r be d(-10). Let p be l(r). Suppose -3 = p*b - 21. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 73359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.7 + 5.4. Let u = -7 - m. Let q(j) = j**3 + 81*j**2 - 911*j - 94. Let g be q(-91). Which is the nearest to 1\/4? (a) u (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45 - 34 + 14*b - 146*b**2 + 79 + (-2 + 2 - 3*b**2)*(0 + 1 + 0).\nAnswer: -149*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 76.7227?\nAnswer: 69.7227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -833*i - 2. Let f(s) = -29 + 12 + 17 - s. Calculate q(f(x)).\nAnswer: 833*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 286*h + 59774. What is j(-209)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1\/6 (b) -0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - sqrt(171)\/sqrt(36)) + (sqrt(57)\/sqrt(3) + sqrt(19) + -3 - -3*(sqrt(19) + sqrt(19) + 0)**2).\nAnswer: 5*sqrt(19)\/2 + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 divided by 26?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1423 + -350. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:23 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(24\/(-23200)). Find the common denominator of a\/110*(-3)\/(-10) and 157\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 176?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-12 + -4 + 5). Let a = y - 20. Let q = a + 40. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10036878 is divided by 1112?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from vppvvvp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 6}. What is prob of picking 2 y and 1 d?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -2314343312?\nAnswer: 2314343341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*p = -p - 30, -4*p = 8. Calculate the least common multiple of 2\/3*-1 - 112\/w and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.096219 micrometers to centimeters.\nAnswer: 0.0001096219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from zsszszszsssssz?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4, 2*k = 4*h + k - 236. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.3 - -54.3. Let s(h) = h**3 + 11*h**2 - 10*h + 12. Let f be s(-12). Let c be 2\/(-7)*3\/f. Sort 2, c, k.\nAnswer: k, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86326 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/4 + 1905*c\/2 + 1209675\/4 = 0. Calculate c.\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - m - 2*m**2 + 2 + 4*m**2 + 2. Let d(j) = 5*j**2 + 9*j + 11. Let k(z) = -3*d(z) + 8*g(z). Give k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/15)\/((-22)\/55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1376056*y**4 + 2*y**3 - 2*y + 2969861 wrt y?\nAnswer: 5504224*y**3 + 6*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g\/(g\/(g*g*g**(-3\/8))*g*g))*g)))\/g**7)**7 assuming g is positive.\nAnswer: g**(-259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 - 5*p + 4. Let d(y) = 2*y**3 + 3*y**2 + 11*y - 9. Let x(g) = 2*d(g) + 5*t(g). Calculate x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 41 = -159. Solve 5*t - z*t - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:49 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11768\/11 + -1070. Put z, 5, 19, 20, 1 in increasing order.\nAnswer: z, 1, 5, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 + 13*u - 4. Suppose 6 + 29 = 7*w. Let m be r(w). Let o = m + 43. Solve o*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97004093249\/1004 + 96617636. Let f = 2\/251 + q. Calculate the common denominator of -39\/2 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 17. Let z = -2\/15 - -8\/15. Which is the nearest to z? (a) 5 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*y - 6 = 0, 3*q + 0*y = -y + 4. Suppose 3*j = 2*z - 17, j + 3 = q*z + 4*j. Solve 0 = z*t - 6*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k - 34*k + 90*k + 45*k.\nAnswer: 125*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 1101, 1718, 2385, 3102, 3869, 4686?\nAnswer: 5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**3\/3 + h**2\/2 - 6*h - 1. List the prime factors of w(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 206681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.159 or 3811?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2224 + 246007?\nAnswer: 243563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/360 - 3*d**5\/20 - 17*d**4\/36 + 28*d**3\/3 + 59*d**2 - d + 2. Determine x, given that q(x) = 0.\nAnswer: -3, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 - 6 = 0. Let d(t) = 3*t - 14. Let n be d(r). Find the second derivative of p - n*p + p**4 - 5*p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose -z + 10 = 3*d, -d + x = 3*z - 1. Suppose 1 = -p + d. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-32))\/((372\/37200)\/(2\/(-15)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*g = 3*d, -5*d = -4*g - 11. Let v(z) = -19*z + 19*z + d*z**2. Let y(i) = i**2. What is y(v(c))?\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 2 - 4 - 1 + 5*m. Let y be r(5). Let q(c) = -c + 5. Let b be q(0). Put -1, b, y in decreasing order.\nAnswer: b, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(5)*-2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(225)*-6).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 1471276*a - 270581633522.\nAnswer: -2*(a - 367819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1684 + 161569.\nAnswer: 161569.1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than 622\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**3 + 0*f**4 - 53 - 33\/20*f**5 + f - 63\/2*f**2. What is the derivative of p(k) wrt k?\nAnswer: -99*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + ((0 + sqrt(1300))*1 - sqrt(1300)))) - (sqrt(1300) + (-2*sqrt(1300)*1 - sqrt(1300))))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/16? (a) 4 (b) 1 (c) -0.1 (d) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-15) + 6\/15. Suppose -5*p = -o + 21. What is the nearest to -0.1 in 4, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:38 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 5. Let q = 22 - 4. What is the greatest common factor of q and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4178, 3, 0, 5.\nAnswer: 0, 3, 5, 4178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 - 5*t + 4. Let u be 12*((-30)\/(-40))\/((-6)\/(-4)). Determine c(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 10*p - 4. Let b be i(9). Let j = b + 1076. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -109. Let g = 9 + -3. Let t(f) = -f**3 + 9*f**2 - f - 3. Let a be t(g). Calculate the greatest common divisor of b and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**3 + 109*t**2 + 10*t - 6. Give p(14).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32847*r + 105500.\nAnswer: 32847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1253.937s to minutes.\nAnswer: 20.89895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49591, -97181, -144773, -192367, -239963, -287561?\n\"Answer: -j**2 - 47587*j - 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1480283138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1000\/(-100)*3\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 4*r**2 - 3*r - 1. Suppose -10 = u - 2. Let b be u\/6 + 2\/(-3). What are the prime factors of a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1425?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2537*l + 2 - 35*l**3 - 2537*l + 8*l**2 - 7*l**2 to f*l**2 + b*l**3 + p + z*l and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 + 253. Let i(b) be the first derivative of -5\/2*b**2 + 2 + k*b. Differentiate i(g) with respect to g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1078352145 to the nearest integer?\nAnswer: 32838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - l + 0*l)*(-15*l**2 - 55*l + 55*l)*(0*l + 2 - l + 0*l) to j*l**3 + o + a*l**4 + c*l**2 + r*l and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -26. Let l = 24 + -1. Let q = l - w. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4114221010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5695*n**5 - 1646*n**2.\nAnswer: 341700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 + -546. Let d = y - -314. Which is smaller: -16 or d?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 12 = -4*d, 5*g = 3*d + 20. Let q = -1166\/3 - -393. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13744 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92146279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - -3) + (3 - 71 - -41)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1801 and -47\/7.\nAnswer: 12607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9))**(-2\/5)\/(x\/((x**(-1)\/x)\/x))**(-23\/3) assuming x is positive.\nAnswer: x**(1376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(4) - sqrt(5)) + -4 + sqrt(5) + 2)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*g + 2, 3*q - 8*q + 3*g = 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20983382?\nAnswer: 2, 7, 1498813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 1, d: 2, q: 1, k: 2}. What is prob of sequence dkrq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q. Let z(f) = 16*f**2 + 22*f - 2. Let j(r) = -36*s(r) - 2*z(r). Suppose j(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1285146 divided by -1.\nAnswer: 1285146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 30*l**2 - 5*l - 125. Let v be g(-30). Calculate the greatest common factor of 6025 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.35 * -12.7003.\nAnswer: 93.347205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-291 - 88*i - 63*i + 156*i)*(3 - 5 + 1)*(1 - 6 - 7) as r*i + z and give z.\nAnswer: -3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -n + 53, 2*t - 4 = 4. Calculate the remainder when n is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(8\/2))\/(3\/30). Let v be 40\/500*3\/((-6)\/t). Let h = 85\/4 - 21. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -1.96. Let l = 0.75 - -0.25. What is the nearest to l in d, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22938.92 millennia to centuries.\nAnswer: 229389.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 3*w**2 + 3*w**2 - 3 + (1 - 2 - 2)*(0*w**2 + w**2 + 0*w**2) - 217*w - 4*w**2 + 217*w to the form r*w**2 + y*w + j and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-7)*(-2)\/8. Let w(t) = -2*t**3 - 37*t**2 + 18*t - 17. Let g be w(-19). Solve y*q + 4\/7 - 2\/7*q**g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260610 divided by -5110.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1083794 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 2 + 2)*(9 - 3 - 3)*(-3 + 6 - 1)*(-4*f**3 + 0 + 0).\nAnswer: -72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = 2*q. Sort q, 0, 2.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5708 + 882 = 2*g, 0 = -2*g + m + 6593. Suppose -2*r + p = -g, -3*p = -3*r + 1286 + 3655. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2. Suppose -15 + 5 = -5*t. Let f(c) = 0*c**2 - t*c**2 - 1 + 1. What is x(f(n))?\nAnswer: 40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - a + 61 - 45, -5*a = d - 16. Is d\/(-6) - (-8 + (-8512)\/12) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 37*i + 20. Let x(c) = -2*c**2 - 37*c - 19. Let r(y) = 3*w(y) + 2*x(y). Let j be r(-18). Solve -3*g + j + 11 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.02 + -5.02. Which is the nearest to d? (a) 0 (b) -4 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 3 - 3)*(3996 + 28*i**2 - 2*i**2 - 28*i**2 - 1252) to c*i + j*i**3 + t + g*i**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*-3*sqrt(88))\/sqrt(8) - ((3 + (sqrt(176) + 2 + sqrt(176) - sqrt(176)))**2 + (sqrt(176) + 2)*-2).\nAnswer: -194 - 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(48) + 4)*-3)**2 - (4 + (-3 + (sqrt(3) - sqrt(3)*-1) - (sqrt(30)\/(sqrt(40)\/sqrt(4) - sqrt(10) - sqrt(10)) - sqrt(3)))).\nAnswer: 284*sqrt(3) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*m + 27, -5*s - 10 = 2*m + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**7\/1050 + d**6\/200 + d**5\/25 - 13*d**4\/30 + 8*d**3\/5 + 366*d**2. Factor b(w).\nAnswer: -(w - 3)*(w - 2)**2*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r + 762 = -3495. Let d be 3 + -5 - (-187 + -1). Let n = d + r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27049 and 951633.\nAnswer: 10467963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1819 + -3?\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37859770.\nAnswer: 2, 5, 13, 181, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 28*d - 32 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.86380349 to two dps.\nAnswer: 50.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/14 + 113*h**6\/15 - 14*h**4 - 3*h**2\/2 - 2*h. Find the third derivative of x(z) wrt z.\nAnswer: 180*z**2 + 5424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 24644\/(-112) - (22 + -16). Are c and 214 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*j = -15, -4*j = -2*j + 4. Let x(s) = s**3 + 4*s**2 - 6*s - 5. Let l be x(d). Solve l = 5*t + 31 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 591*d + 4867*d + 4*d**2 + 2*d**3 + 11250*d.\nAnswer: -2*d**3 + 4*d**2 + 15526*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 12. Let r = 401\/3 - 134. Which is the nearest to r? (a) m (b) -2\/15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 22\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j. Let l(a) = 2*a**2 + 12*a + 11. Let m(s) = s**2 - 4*s + 2. Let d be m(3). Let n(b) = d*l(b) - y(b). Is 11 a factor of n(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -58. Suppose q = -3*v - 0*v. Let p be (-4 + 2)*(v - 1\/(-2)). Solve -7*d = -2*d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48326700?\nAnswer: 2, 3, 5, 41, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 5. Let q(o) = 7*o**3 - 9*o**2 + 4*o + 16. Let v(h) = 6*h**3 - 9*h**2 + 3*h + 15. Let p(a) = f*q(a) - 4*v(a). Factor p(u).\nAnswer: -3*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -232.\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (0 + 134 - 7). Let a(l) = -4*l - 2. Let i be a(3). Let t be (-158)\/(-14) + 4\/i. Calculate the highest common factor of x and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70776337.\nAnswer: 79, 895903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16261 and -1.\nAnswer: 16261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 0.8, 2, -23170 in descending order.\nAnswer: 2, 0.8, 0, -0.2, -23170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24500315 (base 6) in base 15?\nAnswer: -107b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 21*a - 23*a + 71 = 0, -5*h = -9*a + 57 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:57 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501190, 1002378, 1503566, 2004754, 2505942?\nAnswer: 3007130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -357*t. Let k(u) be the second derivative of u**4\/6 + 118*u. What is k(q(w))?\nAnswer: 254898*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 4 + 0 - 4.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 17*t**2 + 14*t + 4. Let q be 40\/3*(-48)\/40. What is the units digit of o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*(n\/(n**4*n*n*n))\/n)\/(n\/(n*n\/(n\/(n\/(n\/(n*n**(4\/9)))))))*n\/(n**(3\/2)\/n)*n**(-1\/18))**(1\/30) assuming n is positive.\nAnswer: n**(-19\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqwqvwwvcq. Give prob of sequence qqww.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/4)\/(j**(-7\/3)*j) assuming j is positive.\nAnswer: j**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 336786, 336787, 336788, 336789, 336790?\n\"Answer: v + 336785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - h**3 - h**2 - 3*h - h + 2 in the form d + m*h + i*h**3 + j*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h + 13. Let y(v) = 75*v + 40. Let s(z) = -11*c(z) + 4*y(z). Let r(a) = 74*a + 50. Let o(i) = -4*r(i) + 11*s(i). List the prime factors of o(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzzv when four letters picked without replacement from wzzztvtpptwt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**3*w**3 - 31*r**3*w**2 - r**3 + 4*r**2*w**6 - 9*r**2*w wrt w.\nAnswer: -42*r**3 + 480*r**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 3*n**3 + n**3)*(0 + 2 - 1) + 290827 - 290829 + 319*n**3 + 914*n**3 to a*n**3 + o*n**2 + p + h*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -169. Let p = 2 + 0. Let u = 1 - p. Which is the biggest value? (a) k (b) 4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(180) + 2) + ((-1*(sqrt(5) + 0))**2 - ((sqrt(5) + -1)*5 - sqrt(5))).\nAnswer: -10*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -717, -1456, -2195?\n\"Answer: -739*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -498.02 - 0.98. Let i = -516 - x. Which is greater: i or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -211?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 7*g - 25 - 6*g)*(-4 + 5 + 1) + 12*g - 16*g + 55*g.\nAnswer: 53*g - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11*y + 4 + 0)*(25*y**2 + 54*y**2 - 16*y**2 + (-y + 3*y - y)*(y + 0*y + y)).\nAnswer: -715*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + sqrt(11))**2 + 2.\nAnswer: 8*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 3. Calculate y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 611286?\nAnswer: 6724146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, -5, -3337?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-2 + -170))\/1. Let z = 328 - f. Suppose 4*r = 728 + z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301677342 to the power of 1\/2, to the nearest integer?\nAnswer: 17369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 3*i**2 + i - 1. Let a be u(3). Let h(o) be the first derivative of 0*o**2 - 1\/4*o**4 - a + o + 0*o**3. Differentiate h(t) wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1\/(-1)) + 2. Let o = 3.5 + -2. Let f = 2 - o. What is the closest to -0.1 in -2, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**4 + 6*m**3 - 12*m**5 - 14*m**3 - 14*m**4 = 0. Calculate m.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-6))\/((-20)\/(-30)). Suppose -3*r - q + 3515 = 2*r, -4*r = w*q - 2812. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/14 and -51\/447844.\nAnswer: 3134908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 82*p - 10 - 4.\nAnswer: -82*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*t**2 + 132 - 132)*(-6*t + 5*t - 1 + 4).\nAnswer: 26*t**3 - 78*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36876 is divided by 12228.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.83\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7465516 and 808.\nAnswer: 14931032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3047720?\nAnswer: -3047720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2755820 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7287\/442 - 231\/34. Let s = 804\/91 - t. Which is the nearest to 0.1? (a) s (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 (base 15) to base 12\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4278*-1\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/3 + 6*h**4 + 16*h**3\/3 - 256*h**2\/3 - 256*h - 512\/3 = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.948231 to 2 decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -392, -786, -1178, -1568?\n\"Answer: t**2 - 397*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12527 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48de4 (base 15) to base 9.\nAnswer: 384107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -2, -3, -70, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1057960, -2115885, -3173810?\n\"Answer: -1057925*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.439 + 0.239. Which is the closest to 1? (a) 4\/5 (b) 2\/3 (c) o (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:17 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109356 and 1404.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -480776.0179 to the nearest 100.\nAnswer: -480800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/241 - 235\/723. Let z = -0.6 + 0.8. Suppose -5*l = 5 + 20. Which is the closest to v? (a) z (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1439 = 3*d - 4*d, 0 = 3*k - 5*d - 4307. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/76 and -65\/22.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*z + 185*z + 237*z - 419*z.\nAnswer: 170*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 17. Let v be g(-3). What is the common denominator of 27\/20 and (v\/(-10))\/(48\/(-2424))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30256863, 60513733, 90770601, 121027467, 151284331?\n\"Answer: -r**2 + 30256873*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128 + 38ea?\nAnswer: 37c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3467762*w**2 - 856645?\nAnswer: -6935524*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 11:39 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-1*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 19*r + 650 = 0. Suppose 2*t - 7*t = -r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-4))\/((-2)\/(-8)). Let r(n) = 36*n**2 + 4. Let u(v) = -154*v**2 - 17. Let q(p) = 30*r(p) + 7*u(p). Let o(w) = -2*w**2 - 1. Give m*q(y) - 6*o(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 7821.\nAnswer: 156420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529.47 + -6.1868.\nAnswer: 523.2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3382 - 3380. What is the greatest common divisor of h and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 59000251.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**4 - 2*r**3 - r + 1. Let k(u) = 293*u**4 - 10*u**3 + 100*u**2 + 2*u + 6. Let y(d) = 6*c(d) - k(d). Find the third derivative of y(q) wrt q.\nAnswer: -7752*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 113251 = -6*b + 5*x, 4*b + 4*x + 226432 = 0. Let g = 80110 + b. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1. Let h be (-4)\/6*6\/(-4). Let j(y) = -4*y - 4. Let s(f) = h*j(f) + 2*k(f). Differentiate s(l) with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(47*t + 8*t + 131*t)*(2*t**2 - t**2 - 2*t**2) as g*t + i*t**2 + w*t**3 + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 12*i**2 + 7. Calculate b(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5941 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: Convert -3674 (base 10) to base 12.\nAnswer: -2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -692.57 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3974820\/(-82770) + 4\/178.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 + -40. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3\/3 - 5*q**2\/2 - 4. What is the units digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dbuabazazrzudra?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -30249\/7084?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -12. Suppose 0 = i + k*y - 28 - 47, 5*i - 311 = y. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 3, p: 1}. Give prob of picking 2 i and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59972179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*q = 6 + 2, q = -2*h + 5. Suppose 10 = -2*v + 4*v, -230 = 4*k + h*v. Let r = 116 + k. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22655909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.164076 and -0.08?\nAnswer: 0.084076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4680 is divided by 91.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k - 8661287 = 8804890. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/16 and -99\/170?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-6)*(-42)\/(-196)*(-90)\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + (-2 - 1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**3 + 16*q**2 + 12*q - 32. Let y(c) = c**2 + c**3 + c**2 - 3*c**2 + 1. Let f(l) = -u(l) + 4*y(l). Determine t so that f(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 5*i - 11*i + 2*i + 6*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 17*p + 164 + 131 - 69 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/23 or 40?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230544.\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196837698251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 1. Let g(q) = 5*q - 1. Let n(k) = 3*g(k) - 4*u(k). Suppose -5*m + 32 = -4*v, -70*m + 69*m - 5*v = 98. Calculate n(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:22 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Let g be 2\/(-2)*(-1 + 4 - 8). Suppose 104 = g*q - 26. Let o(u) = -55*u + 29*u + q*u + 4*u**2. What is h(o(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyw when three letters picked without replacement from {y: 7, a: 6, w: 6}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-6 + 70\/15)*(1 + -4)). What is the nearest to p in 0.4, 8, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 134779485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6586263 to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 149164.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 9 - 9)*((s + 0*s - 3*s)*(-3 + 3 + 2*s) + 3*s**2 + 3*s - 3*s).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1240024242000 + 3?\nAnswer: -1240024241442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/16*2)\/((-121)\/242)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*o, -6*w + 3*o = -7*w. Let h be 2 + (-1)\/2*-2. Sort h, 5, w in increasing order.\nAnswer: w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -3 + 31 + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let r be u(2). Which is greater: r or -2\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*v + 4. Suppose -v*o = -3*o + 3. Suppose 65 = o*z + 2*z. What is the remainder when 24 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*c**2 + 73*c**2 + 33*c**3)*(-58*c + 62 - 62 + (2 + 1 - 1)*(3*c - c - 5*c)) in the form t + k*c + s*c**3 + p*c**2 + g*c**4 and give g.\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + h - 7, w + w - 22 = -5*h. Let p be -1 + (w - 2) + 3. Sort 0, p, -3 in ascending order.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:08 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07159626501 to six decimal places.\nAnswer: 0.071596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/20 - 7*d**4\/12 - d**3\/2 - 4*d**2 - 2*d. Calculate the remainder when t(-7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7245177.\nAnswer: 3, 73, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221.52 - -221. Let t = -0.61 - m. What is the nearest to 2 in -1\/6, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*l + 16 = 0, 39 + 1 = 3*y + 2*l. Suppose 3*a - 37 = 35. Calculate the greatest common factor of a and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -96362 and -0.0442.\nAnswer: -96362.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/7 + 1135628*u**4\/7 - 107470534320*u**3\/7 + 484303168693696*u**2 + 3390229652525824*u\/7 = 0.\nAnswer: -1, 0, 94636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 - 4*l**2 - 2*l + 6. Let s(r) be the first derivative of 5*r**4 - 11*r**3\/3 - 7*r**2\/2 + 17*r + 3353. What is 6*s(w) - 17*x(w)?\nAnswer: w**3 + 2*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -198*r**2 - 323*r - 149. Is q(-53) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 11*m**2 - 15*m - 44. Let u be f(-10). Suppose -t = w - 33, u*w - 168 = -5*t + 2*w. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95065009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -3 + 8\/35*c**5 + 16\/7*c**2 - 13\/14*c**4 - 8\/7*c + 2\/7*c**3. Find k, given that a(k) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 70040?\nAnswer: 350200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2864655483 to 5 decimal places.\nAnswer: 0.28647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 11*k**2 + 23*k + 25. Let z be q(-13). Suppose 92*y - 84*y = z. Calculate the highest common factor of 216 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 times -69.03?\nAnswer: 5867.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:13 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 9*j - 13. Let w(r) = 2*r**2 + 18*r - 27. Let b(t) = 4*w(t) - 9*z(t). What is b(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**4 + v**3 + v**2 + v. Let i(c) = 52*c**4 - 396*c**3 - 1344*c**2 - 680*c + 224. Let t(x) = -8*a(x) + i(x). Let t(l) = 0. What is l?\nAnswer: -2, -1, 2\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 10107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 18. Let s be ((-4)\/42)\/(p\/(-21)). What is the third biggest value in s, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80928 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 221. Let k = r - 106. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/18)\/(3\/(-7317)).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)\/((-3)\/(-33))*(-41 + 42)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/3 - 15*l**2\/2 - l + 73. Let v(w) be the second derivative of s(w). Let b(j) = -j. What is v(b(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-5 - 350\/(-112))*(-104)\/(-78)\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:47 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:47 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -94989666\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 + 7*f - 6. Let h be l(5). Suppose 3*y = 3*i - 24, 16 = -3*y + i - 6. Let p = y + h. What is the nearest to -1\/4 in 5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20.668127 and 0.03548417.\nAnswer: -20.63264283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 167728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2969.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-351)\/(-69) - 5\/(115\/2). Solve -48 = -12*d - b*p, -4*p = 2*d - 5*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.359 - 0.041. Let n = 15 + h. Let t = 2.4 - -0.6. What is the biggest value in t, n, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373658 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1409\/(-112720))\/((-14)\/400).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*v + 9, 11*v + 9 - 7 = 16*v + 3*m - 2*m - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 51. Let g be a(-7). Suppose 1733462 + 8166538 = -g*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -208. Suppose -1282 = -4*c + 2*d, -22*c = -23*c + t*d + 310. What is the greatest common divisor of c and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45800933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**0))**(-44)\/(p\/(p**(3\/5)*p)*p*p**6)*(p**(-2\/19)\/(p\/((p*p**4)\/p)))**(4\/15) assuming p is positive.\nAnswer: p**(-1604\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 - (7 - ((6 - 14) + -1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149757830 divided by -3652630?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = -7*o - 3*n, -2*o + 2*n = -18. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/(6\/(-120)). Let s be ((-6)\/m)\/((-11)\/(-44)) + -1. Solve -2*r - 5*d = -0*d + s, 2*d - 3 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 + 11*w**5\/60 - 11*w**4\/12 + 2*w**3 + 218*w**2. Calculate a(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*l = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 + 12*g - 24. Let u be r(6). Let s be 16\/((4\/u)\/1). Let k = s - 120. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2)*((-3 + 6 - 2)*(-q**2 + 2*q - 2*q) - 6*q**2 + 0*q**2 + 3*q**2 + 36*q**2 + 31*q**2 - 60*q**2).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 4*v**2 - v + 3. Suppose -4*z + 125 = 1. Suppose -z = -4*o + 2*o - 5*g, -o = g - 8. What is w(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48686\/5 + -9737. Which is the closest to 6? (a) -1\/5 (b) 37 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5 + 12*v - 3*v + v**2 + 2 + 0. Let t(z) = -3*z**2 - 27*z - 22. Let s(k) = -2*t(k) - 7*y(k). Calculate s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 448457*u**3 - 272512*u.\nAnswer: 2690742*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18684)\/(-300))\/(-9) + 7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 225565*s. Let o(x) = 6*x**2. Calculate o(u(d)).\nAnswer: 305277415350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 78*c - 230. Determine b(-75).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udzkgzkkzddizuk. Give prob of sequence zd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 6*i**2 - 3*i - 18. Let m be a(-6). Solve 4*j + 3*b - 3 = m, 3*j - j - 5 = -5*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5 - (-5)\/1)*1)\/2. Suppose -p*q + 6*q + 3*u + 8 = 0, 3*u + 3 = 0. Let d(l) = -l**2 - l - 2. Determine d(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 8. Suppose 7*d = 20*d + 7488. Let s = -574 - d. Solve -f + 3 = -s*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (2 - -1*2\/4). What is the closest to 0 in 3, 2\/17, p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -157?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let g(b) = 1 - x + 3*b**2 + 2. Let r(u) = u**2 - 2*u - 2. Let w(m) = 4*m**2 - 9*m - 9. Let p(f) = 18*r(f) - 4*w(f). Give p(g(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/143 - 30\/(-26). Suppose 27*j - 133 = 2. Sort l, 10, j, 0 in increasing order.\nAnswer: 0, l, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 32*f + 114. Let t be r(4). Let 2\/3*b**3 + 2\/3*b**t - 1\/3*b**4 - 1\/3*b**5 - 1\/3*b - 1\/3 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 324 (b) 7.8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -113 and -35.813452.\nAnswer: -148.813452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:42 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 2, p: 1, v: 3, r: 1, e: 3}. Give prob of picking 1 u, 1 v, and 1 p.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 g when four letters picked without replacement from {g: 7, s: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4*c + 7. Let j be o(5). Suppose 3*f - 9700000 = -j*f. Round f to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526*o**2 + 15061*o**2 - 799*o**2 + 6897*o**2.\nAnswer: 22685*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) -17084 (b) 2 (c) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-34)\/g**(3\/19)*g**(-10)*g*g\/(g**1*g) assuming g is positive.\nAnswer: g**(-839\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -26. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1133 and 5665?\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 2*q. Suppose 4*g = -2*x - 3*x + 82, -g = 4*x - 70. Suppose 10*u = 8*u + x. Calculate the least common multiple of p(2) and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -36 (c) -1\/6 (d) -2\/125 (e) -5 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(48)*-1 - (sqrt(1200) - (sqrt(1200) - -1*sqrt(1200))) - -6*(sqrt(243) + (0 + sqrt(243) - sqrt(243)))*-1)*-1)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.7, -116, -2, -596.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.752 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 32*r + 183. Let n be (-1)\/(-8) + 5\/(200\/(-365)). Let t be q(n). Which is smaller: t or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 12021020323?\nAnswer: -12021020330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -9\/824, 11, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*l + 5, 2*q + 2*l - 5 - 5 = 0. Suppose 0 = -2*y - 8, w = q*w + 2*y - 160. Suppose -w = 8*z - 12*z. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyy when three letters picked without replacement from {f: 1, y: 3, l: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 8 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 1.9. Let c = r + 1.9. Suppose -2*h + 4 = 0, h - 2 + 0 = 4*t. Is t smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 46*t**2 - 92*t + 163. What is g(44)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 7*l + 8. Let g be t(8). Suppose g = 2*y - 42 + 12. What is the remainder when 43 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - r**2 - 3*r + 1. Let x be w(2). Suppose g = 4 + x. Let u(t) = -t + 13. What is the units digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23539 and -23538 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {j: 8, p: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4962, -9615, -14268, -18921, -23574?\n\"Answer: -4653*c - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22104 and 3251130.\nAnswer: 39013560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -764?\nAnswer: -1\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from rmryryarm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/11)\/(21\/(-84)). Is 0 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5 - 37. What is the smallest common multiple of 20 and c?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 25 - 13. Suppose p*v - 14*v = -135. Calculate the smallest common multiple of 20 and (-62)\/(-6) - (-9)\/v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05669 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:09 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:44 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.240426965 and 155?\nAnswer: 155.240426965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*o - 17, -v + 2037 = -4*o + 2041 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1383486 and -29\/8070335.\nAnswer: 48422010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68176*h - 3160 = 68097*h for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/2, 2\/19, 0.1, 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/672*-8*3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1822 + 1824. Factor -9\/2*r**d + 9\/2*r**4 + 0 - 1\/2*r + 1\/2*r**3.\nAnswer: r*(r - 1)*(r + 1)*(9*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31646 is divided by 565.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/(-20))\/((-6)\/(-135)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -58*j - 518. List the prime factors of a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7022600 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((1 - 9) + 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -6\/146219, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 38 - 138. Let p be ((-10465)\/w)\/(-7) + 6\/(-8). Let t = p + -34. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4367 times -37\nAnswer: 161579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2838*n + 1084343. What is z(382)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301913355?\nAnswer: 3, 5, 157, 128201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 30*x**7\/7 + 26*x**3\/3 + x**2 - 48. What is the third derivative of r(m) wrt m?\nAnswer: 3600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20205 divided by -5.\nAnswer: 4041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3254 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*n - 371*n = 300*n + 1647 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 2*w**4 - 1 - 7*w**2 - 2*w**2 + 11*w**2 in the form x*w**2 + d*w**4 + z*w**3 + k*w + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) + 22\/10. Let b be x\/(-10) - 22\/(-10). Suppose -2*l - b*n + 66 = -n, 160 = 4*l - 5*n. What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369234 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 37. Let n be 135 + (-11)\/((-77)\/(-42)). Calculate the greatest common factor of k and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5117206 is divided by 333?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-1) - (-969)\/57. Let f = 0 + 0. Solve -b*n + 27 - 2 = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose -3*f + n = -2. Suppose f*k - 3*k = -8. Calculate the smallest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -242733?\nAnswer: -242731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 17. Let b be q(-7). Suppose 4*w = b*j + 99, 0 = 3*w - 6*j + j - 88. Suppose -510 = -7*p + 2*p. What is the remainder when p is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2649*j + 3 + 2661*j - 6 + 3.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/294 - n**6\/30 + 4*n**5\/35 - n**4\/7 + 76*n. Factor u(v).\nAnswer: v**2*(v - 3)*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3378*p**2 - 42*p + 84. Let h(r) = 338*r**2 - 4*r + 8. Let o(c) = 126*h(c) - 12*v(c). Let k(u) = -3*u**2. Calculate k(o(s)).\nAnswer: -12632112*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -11. Let r be (10 - 1)*x\/3. Let k(u) = u**3 - 3*u**2 + u + 2. Let n be k(2). Solve r*d + 6 = -h - 0, n = -h - d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 3*i - 2*i + 18*i**2 + 16 - 17*i**2 - 5*i. Calculate z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -6*o**2 - 1140. Let j(m) = 132*m. Calculate k(j(i)).\nAnswer: -1584*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 666, 1513, 2700, 4227, 6094, 8301?\nAnswer: 10848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295936177*u**3 + u**2 + 330862195*u.\nAnswer: 1775617062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 109 = 3*x. Let c = x + 105. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*c**3 - 131*c**3 + 2*c - 2*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 - t**3 - t**3 + 0*t**3.\nAnswer: -2*t**3 + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 3*p = 11*u + 3355, p = 0. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -10. Let g be 7\/j*4\/14. Let v(l) = -l**3 - 13*l**2 - 13*l - 11. Let f be v(-12). Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v - 1. Let n be d(-7). Let z be n\/(1\/4*-1). Suppose -3*h - 246 = -3*k, 2*h + 334 = z*k - 0*h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306580 is divided by 211.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i. Let k be (-133)\/(-6) + 2\/(-12). Suppose -2*a + 5*c + 26 = 0, 4*a + k = -2*c + 98. Let z(j) = 9*j + 10*j - a*j + 7*j. Give o(z(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 542649.3 tonnes?\nAnswer: 542649300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*t**2 + 0 + 1\/3*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5 - n + 2 + 2. Let g(r) = -r - 9. Let a(w) = g(w) - 6*t(w). Let d(f) = f**3 - 12*f**2 + 13*f - 19. Let s be d(11). Determine a(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 142\/(-35) + (-21 - -15) + 12?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 55 = m, -2*k - 3*m - 22 = -4*k. Let d = -7 + k. Which is the third biggest value? (a) -0.2 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*h = -69, -4*d = -3*h - 7 + 65. Let r = d + 16. Which is the biggest value? (a) 8 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-24) + 9\/4. Suppose 0 = 3*r + 2*r - 5. Let v = l - r. Solve -y = v*y + 3*d - 9, -4*d - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -48 and -48 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 - 3*f + 2. Let r be q(1). Let w be 12\/r*((-46)\/(-54) + -1). Which is the nearest to 1\/4? (a) 2 (b) w (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 8*b**2 - 9*b - 5. Let d be u(-9). Suppose 0 = -10*p - 16 - 24. Let a = 7\/4 + -1. What is the biggest value in p, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 0.3 (c) -2\/7 (d) 2\/11 (e) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 76*j - 8. Let l(w) = 152*w - 19. What is -3*l(n) + 7*r(n)?\nAnswer: 76*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18166026 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 6, b: 4, l: 3, m: 3}. What is prob of picking 1 a, 1 m, 1 l, and 1 b?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421460 by -1.\nAnswer: 421460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(-7)\/v)\/v)*v*v\/(v*v**5*v))\/((v*v**(1\/11))\/((v*v**2)\/v*v)) assuming v is positive.\nAnswer: v**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*k + 191*k - 36 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*r + 60 + 37, 4*u + 4 = 0. Let y = -22 - r. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.534146496 rounded to 4 dps?\nAnswer: -0.5341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = -u, -156 = 13*u - 8*u + 4*a. Let h be ((-3)\/(-6)*u)\/(-4 - -2). Solve 10*r = h*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 - 6*u + 7. Let l be v(5). Let s be (-5)\/2*(-24)\/105. Is s > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14987384 divided by -31\nAnswer: 483464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119251?\nAnswer: 11, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 5*n - 3*a + 4*a, -a = -n - 60. Let g = -8 - n. Suppose -2*z - 35 = -3*z - t, 2*z = 3*t + g. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 4:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/76770 and -181\/25590.\nAnswer: 76770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 6. Let m(f) = -3*f - 5. Give -4*m(y) - 3*o(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 584*n**5 + n**3 + 8168*n?\nAnswer: 11680*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3 + 9 - 6) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 49. Let c be (0 - (1 + -2))*215\/(-5). Let y be 43 + c + (231 - (3 + -2)). What is the greatest common divisor of y and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from {y: 11, o: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -2)\/1 + 5. Let p(s) = -65*s**2 + 107. Let o(h) = 16*h**2 - 27. Let n(b) = j*p(b) + 9*o(b). Differentiate n(d) with respect to d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Let n be (4\/5)\/((-2)\/(-10)). Suppose 0 = -i + 3*o - 7, 0 = -0*i - 4*i + 4*o - 4. Let j(k) = 0*k**2 - n*k**2 + 2*k**i. What is j(l(r))?\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*2\/6)\/8. Suppose -3*t = 2*t - 5*r + 60, 3*t + 3*r = -66. Let p = 18 + t. Which is the third smallest value? (a) l (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from ggfgffgggffg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 2, n: 2, l: 4, w: 6, h: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4746 * 6558.\nAnswer: 3112.4268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from ndrrrrrrddddr?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*c*c\/(c**(-2)\/c)*(c**0\/c)**(-16))**46 assuming c is positive.\nAnswer: c**(2001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/1)\/(-8) - 50\/20. Let w(k) = 2*k**3 - 2*k**2 - 3*k - 2. Let s(l) = -l**3 + l**2 + l + 1. Give g*s(h) - w(h).\nAnswer: h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220128 and -3.\nAnswer: -660384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5824.6 from -35.77.\nAnswer: -5860.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**2 + 0*f**5 - 1\/15*f**4 + 0 + 2\/75*f**6 - 1\/105*f**7 + 1\/15*f**3 + 14*f. Suppose p(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20442 and -0.0021742?\nAnswer: 20442.0021742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 + 20*d**2 - 14*d - 26. Let q be p(-7). Solve q = 3*b + 3*u + 47, -17 = b + 4*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 - 7*y - 2. Suppose -2*u + 95 = 3*v, v + 4 = -5*u + 14. Suppose 4*x + 3*x = -v. Determine m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 48 + 0 + (-267 - -261)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o**4\/4 - 81*o**3\/2 + 127*o**2 - 78*o = 0 for o.\nAnswer: -26, 0, 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 + 20*m**2 - 370*m + 33. List the prime factors of f(19).\nAnswer: 2, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, 1087, -5, 8, 3, 2 in increasing order.\nAnswer: -45, -5, 2, 3, 5, 8, 1087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 466 and 64375337.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 1634, 3719, 6650, 10427?\nAnswer: 15050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 917 + 323. Suppose 3*i - 8*i + n = a, 0 = 3*n. Let r = -41 - i. Solve 6*b - 3*x = 3*b + 6, -3*x - r = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 24*t**2 + 18*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 74*c**2 + 96*c - 69. Let r be d(-23). Calculate the highest common factor of r and 4324.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1076 = 982. What is the third biggest value in -0.5, 5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -4 + 372 + (8 - 5). Let d = p - 258. Suppose 0 = -7*s - d + 940. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in -0.2, 0.1, -1\/6, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - f - 6299*f**2 + f + 11116*f**2 + 1 to u*f**2 + v + s*f and give u.\nAnswer: 4817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3035333400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126175, -127550, -128925, -130300?\nAnswer: -131675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 483 - 160 = -110 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Let i(s) = s**3 + s - 12. Let p be i(0). Let w be 2*3 + (-15 - p). Solve z = -r - 2*f + w, -r = -4*f + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8873.\nAnswer: 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331 - -299. Is ((-101488)\/j)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 931893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.4, -2, 4\/11, 4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1343321 and 0.019.\nAnswer: -25523.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 210740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i - 4*t, -2*i - 2*t = -0*i. Suppose -2*c - 4*q + 2 = -4, -4*c + 3*q = -i. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s*s**(-2)\/s))\/s)\/s)**(-41))**(2\/67)\/((s**(-3))**6)**(-48) assuming s is positive.\nAnswer: s**(-58052\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43851448933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 434456361 + -2?\nAnswer: 434456356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let a(q) be the second derivative of 11*q**3\/3 + q**2\/2 - 10*q - 6. Determine a(u(o)).\nAnswer: -22*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 6. Let f be q(3). Suppose -2*d = -d - f. Solve -t + 2*j = d, 5*t - 4*j - 11 + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5\/3 (b) -6\/535 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 2 f when four letters picked without replacement from {f: 2, w: 1, q: 1, j: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ftfs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (17 + 18 + -36).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/130 (b) 2 (c) 2\/21 (d) -99 (e) -3 (f) 6 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - w + 1. Let p be s(1). Let r be (-1)\/6*(-3 + p). Which is the smallest value? (a) r (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3 - 9*w**2\/2 + 1781. Let q(v) = 7*v**2 + 19*v. Give -2*q(u) - 5*y(u).\nAnswer: u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 22 = 4*w, 0 = -5*w + w - 5*c - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179218 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c*c**(-1\/19))**(-43))**(-8\/13) assuming c is positive.\nAnswer: c**(110768\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14479, 28964, 43451, 57940, 72431?\n\"Answer: z**2 + 14482*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -169149.905207839 - 0.1\nAnswer: -169150.005207839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4208188 divided by 31\nAnswer: -135748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 1 o when three letters picked without replacement from {u: 1, o: 7, y: 3, g: 3, x: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111977 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 5*y**2 - 10*y**2 + 7*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -132213 (base 7) to base 12\nAnswer: -12430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l*l*l**6)\/((l*l**1)\/l)**17*l**(-5\/3)\/(l\/l**(1\/6)*l)*(l\/l**(-6))\/(l*l\/(l*l**(6\/11)*l*l)*l) assuming l is positive.\nAnswer: l**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 + 6650532*i - 6650535 = 0.\nAnswer: -2216845, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) -72891 (d) 50 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 + 3*j + 4. Let x be r(-4). Let m(h) = 7*h. Let n be m(3). Let g = n - x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0 - 60. Suppose 0 = -4*p + 9*p - t. Solve -4*o + p + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 1920*h**3 - 1918*h**2 - 1920*h + 1919 = 0. What is h?\nAnswer: -1, 1, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Let s = 3 - r. Let m = 1 - 0. Which is the nearest to m? (a) s (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/283? (a) -0.1 (b) -5752 (c) -6 (d) -0.4 (e) 0 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8, 4*q + 40 = 5*l - 1. Let n = 1 + l. Find the second derivative of -2*v**5 + 9 + n*v**5 - 9 + v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 - 6. Let w = r - -0.5. What is the second smallest value in 3, w, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 16, -3*s - 8 - 17 = -4*t + 42 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:43 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 1781\/14. Let l = 54 - 53. Which is the third biggest value? (a) -2\/5 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 477398.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.5185km to millimeters.\nAnswer: 356518500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 + 0?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1082475187 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) -5 (c) -7 (d) -9 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -504 (base 8) to base 12\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:18 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13607*w + 13551*w - 3152 = 4*m, 0 = -3*w + 2*m - 160 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnunnnununn.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138836 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-8 + -4 + 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2004, -6, 2 in increasing order.\nAnswer: -2004, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 7, 11, 15, 19?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 753, 4.35, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 8. Let m(b) = 2*b - 7. Let i(s) = 7*m(s) + 6*y(s). Let q be i(-4). Let v be 1\/((-1)\/(-3)) - q. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*n + 40, -3*n + 17 = -a + 45. Suppose -5*c + 5*s = -5, -2*c + 5*c + 3*s = -9. What are the prime factors of (a - (1 - c)) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5186*i**3 - 5*i**2 + 5*i + 10. Let u(z) = 5184*z**3 - 7*z**2 + 5*z + 12. Let f(l) = 5*c(l) - 4*u(l). What is the third derivative of f(h) wrt h?\nAnswer: 31164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 34*i + 21. Let u be z(8). Sort 3, -4, u, 11 in decreasing order.\nAnswer: 11, u, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87529 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/11)*y**(-3))**(-40)\/(((y\/(y\/y**1))\/y*y)\/y**(-6)*(y**(1\/12)*y)\/(y\/(y\/(y*y\/(y*(y\/y**4)\/y)*y)))) assuming y is positive.\nAnswer: y**(4525\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 6. Let i be o(2). Let u be 1 + 0 - (i - -1). Let l(k) = k**3 - 5*k**2 + 5*k - 3. Calculate l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 50\/(-8). Let x(y) = 6*y - 5 - 4 + 5. Is x(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x + 4*y + 1082480, -5*x + 1353091 = 4*y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -145739847.6178 and 271?\nAnswer: 145740118.6178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*l - 39 - 167 = 1124. Let w(x) = 2*x**2 + 2*x + 1. Let g be w(-2). Which is the biggest value? (a) -0.1 (b) g (c) l (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -4 (c) -34 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 3:35 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -6. Let m be 66\/f*(-2)\/6. Is m at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2. Let i be (-3)\/(-2)*14\/7. Let x(f) be the second derivative of 0*f**2 + 0 - i*f + 1\/3*f**3. Calculate x(b(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 1\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m + 128090 - 689714. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182.4 - 182. What is the second biggest value in -11, s, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*(-74432)\/167472?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.47 (b) -18 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 - 8*y\/3 - 32\/3.\nAnswer: 4*(y - 4)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g + 36. Let n be i(15). What are the prime factors of 638\/12 - (-9)\/n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(315\/(-24))*33\/(-44). Let v = -26 + 22. Sort -1, v, c, 0.4.\nAnswer: v, -1, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 40 - 2*f**2 - 8*f + 3*f**2 - 37. Let q be h(8). Solve 4*z = -q*c + 6, 0*c + 5*z = 2*c + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjj. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = -9. Let p(d) = d**2 - 4*d - 9. Let c be p(-6). Suppose -w = t - z, 3*w + t - 12 = c. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/((-1)\/(-2)). Suppose -19081 = -k*h + 4*z + 1927, h - 7008 = 4*z. Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/((-8)\/18*(2 - 100\/(-40))). Solve b - 10 = 4*b + 2*l, -d*b = -5*l - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1\/9*q**3 + 1\/6*q**2 - 3 - 1\/3*q - 1\/12*q**4. Factor b(c).\nAnswer: -(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-11 + (28 - 9 - -7) + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045560 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158037 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:01 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**6*v*v)\/v*v)\/v**3)**(2\/9))**(1\/3) assuming v is positive.\nAnswer: v**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.9 + 28.9. Let h = -0.1 + -4.9. Let w = 3.1 - 3. What is the closest to w in -2\/9, d, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/12)\/((-6)\/(-2)). Let c = 238 + -238.02. Let a = 3.98 - c. What is the nearest to u in a, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 1*(-102240)\/1764.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -389*s + 486. What is r(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let l be ((-22)\/(-4))\/(2\/4). Let d(z) = -z + 2. Let h(r) = -5*r + 11. Let n(x) = l*d(x) - 2*h(x). Calculate n(g(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let n(f) = -677*f + 1. Determine r(n(x)).\nAnswer: 916658*x**2 - 2708*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -245 - -5656?\nAnswer: 5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**27\/k*k)\/k**(-2\/29))**(5\/2) assuming k is positive.\nAnswer: k**(3925\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {k: 2, o: 2, v: 1, f: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.141 and -480.9?\nAnswer: -67.8069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 - -329. Let i = f + 134. What are the prime factors of i?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-10)\/4) + -4. Let u be (2\/3)\/(o\/(-9)). Let p(q) be the third derivative of q**6\/120 - q**5\/15 + q**4\/24 - q**3\/3 + q**2. Determine p(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 - 141*t**3 - 2013*t**2 - 9075*t = 0. What is t?\nAnswer: -25, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50450 - 50456 - 4*w**2 + 100906.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*m - 40 = 0, -2*u - 11*m + 398 - 109 = 20*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + (0 + 2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/690 and -61\/2415.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvxjxzee. Give prob of sequence jzxf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:39 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m - 351*m - 48 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -3. Let v = i + 21. Suppose -3*f + 43 - 1 = v. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 25*p**3 - 312*p**2 + 7*p. Let l(r) = -41*r**3 + 623*r**2 - 13*r. Determine -5*g(q) - 3*l(q).\nAnswer: -2*q**3 - 309*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (5 - 10) - (-4 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -2, -171, -48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550364 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*o + 4, 0 = -o + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.3 (c) -5\/2 (d) 0.3 (e) -30\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 342.5743 or 2\/17?\nAnswer: 342.5743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9259*y - 3073*y - 3117*y - 3070*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.626475 rounded to two dps?\nAnswer: -5.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 + 11?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(612) + 1.\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - j + 2. Let t(c) = 2693*c**2 - 11*c + 20. Calculate -10*s(o) + t(o).\nAnswer: 2643*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -389289, -389232, -389163, -389076, -388965, -388824, -388647?\n\"Answer: g**3 + 50*g - 389340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 2*x**2 + (-16*x + 3*x + 0*x)*(-x + x + 5*x) in the form h*x + l*x**2 + t and give l.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 divided by 4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4 + 115*h**3 - 378*h**2*n - 249*h*n + 473*h wrt h.\nAnswer: -36*h**2 + 690*h - 756*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6*k**3 + 1 + 5*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -4*f. Let g be (-2 + (-4)\/(-1))\/f. Which is the closest to 2\/5? (a) g (b) -2\/11 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 13*n**5\/120 + 2*n**3\/3 + 16*n. Let i(l) be the second derivative of t(l). Let h(u) = u. Determine h(i(r)).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*n + 1 = 0, 1259*i = 1254*i + 4*n + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27168 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (106822\/(-2))\/(-1)*1. Suppose 4*l + 13183 = b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 44*z**5\/3 + 5057*z**4\/3 + 133943*z**3\/3 - 49516*z**2 + 3168*z = 0?\nAnswer: -72, -44, 0, 3\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u - 11*u + 15*u.\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1)*w)\/w*w)**(37\/3))**(1\/6))**(-35) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 134547.13493 and -0.5129.\nAnswer: 134546.62203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 6*d + 5. Let s be o(-5). Let b = s + 3. Let k(q) = 2*q**2 - q. Give k(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75716596 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -5 (c) -0.23 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 34. Let h be k(12). Let g be (7977\/54 + h\/63)*-16. Round g to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -50*m - 85. Let r be i(-2). Solve z = 4*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927543 divided by -188?\nAnswer: -927543\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.18. Let a = f + -0.1. What is the closest to a in 0.3, -5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*x + 399 + 1472 = -1627 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 2\/9, 23\/259, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325708831 divided by 6811?\nAnswer: 47821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/10*((-5)\/(-5))\/(14\/(28\/(-5)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-14))\/(7\/(-14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 627792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 - 8*q - 114*q**2 + 226*q**2 - 112*q**2 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 21 = -2*y. Calculate the remainder when 23 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6 + 36 = 0. Suppose 0 = -k*f - 2*f + 2*f. Suppose -z + 478 = 5*o + 3*z, -4*z - 12 = f. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8630 divided by -33\nAnswer: 8630\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/6 + 11*o**4\/24 - 29*o**3\/6 - 31*o**2 + 2. Let g(j) = -3*j**2 + 4*j - 9. Let d(c) = -7*g(c) + 2*x(c). Factor d(y).\nAnswer: (y - 5)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4075393804.\nAnswer: 2, 1018848451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let h(f) = -7*f. Let o(v) = -36*a(v) - 4*h(v). Let l(i) be the third derivative of 0 + 0*i**3 - 1\/12*i**4 + i**2 - 23*i. Calculate o(l(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crssubusubks. What is prob of sequence ucrk?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12020122132 (base 4) to base 14\nAnswer: -2dba90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 48*q + 735 = 0. Let g = q + 91. Let l be (-250)\/(-7) + (-16)\/g. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-351)*-65*(3\/4)\/(-1). Are o and -145\/26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*h + 25*h + 26*h + 30*h + 25*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 5 + -3 + -1 + 0 + (20 - 24).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3524)\/(-16))\/((-18)\/(-216)) is divided by 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {p: 1, u: 2, k: 5, v: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -150*i + 12171. Calculate r(81).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27435728 to the nearest integer?\nAnswer: 5238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.93 - 0.07. Let m = y - 0. Let j = -849 + 848.5. Sort j, 5\/6, m in increasing order.\nAnswer: m, j, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002787858 rounded to 7 decimal places?\nAnswer: -0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:53 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(4 + -6)*-5. Solve -5 = -u + 2*s, -a*u + 4*u + 7 = -3*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6 + 2. Let s = p + 0. Solve 1 = -c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 6272?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8*n**(-2\/11) assuming n is positive.\nAnswer: n**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h - 4. Let i(z) = 2*z - 1. Calculate -5*i(r) + m(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25035737 is divided by 8345231?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858 = -8*b - 3719 + 1861 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*c - 10)*(-1396 - 4*c + 139*c**2 + 1396).\nAnswer: -556*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -0.054 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 42. Let x = -23.1 - b. Let i = -357.7 + 358. What is the nearest to x in 0, -1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 197. Let n = z + -67. Calculate the highest common factor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*m + 28900 = 5*j, -3*j + 17338 = -5*m. Suppose -j = -6*w + 2043. List the prime factors of w.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/6 - 6395827*s\/3 - 40906603013929\/6.\nAnswer: -(s + 6395827)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5180.8329ns to days.\nAnswer: 0.00000000005996334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.8 - 3.4. Let f = s - 11.9. Let z = f + 8.50102. Round z to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/2 - a**3\/3 - 6*a**2. Let g be n(1). Solve -2*j = 3*j - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -43*k**2 + 68*k - 65. What is c(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*x + 325, 5*x - 385 = -0*g + 2*g. Suppose 0 = -b + i + x, 0 = -b + 3*b + 5*i - 171. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l - 41*l - 23*l**3 + 13*l**3 + l.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -160*a**3 + 3*a**2 + 142*a - 36. Let m be f(-8). What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(275) - sqrt(275))\/sqrt(5) - -3*(4*sqrt(55) + sqrt(55)))\/(-1*(sqrt(160)\/sqrt(4))\/sqrt(2)).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -205, 5, 28\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 14*l + 1963. Let f be j(28). Put f, -3, 69 in ascending order.\nAnswer: -3, f, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/44)\/((-2700)\/(-12960))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from {l: 1, t: 1, c: 11}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r + 20. Let p be b(5). Suppose -z + 2*x = 8 - p, -z + 3*x + 18 = 0. Find the third derivative of -z*d**2 + 4*d**3 - 5*d + 4*d + d wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 - 66497*f + 66381*f + f**2 + 29*f**4 + 4*f**3 wrt f.\nAnswer: 672*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/5 (b) -0.3 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1163 times -2?\nAnswer: 0.2326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78886 is divided by 652?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let q be 8\/(-40) + 16\/5. Which is the nearest to -2? (a) u (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5, -3, 0.02, 1.12, 85, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194463 - 112577.\nAnswer: 81886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {y: 1, z: 1, g: 5, a: 2, k: 1, e: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fccf when four letters picked without replacement from ffcfccffcfcffcccfffc.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261699.\nAnswer: 13, 327823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 285 - 143 - 142.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(7) + -1 + 2 - (sqrt(7)*-2 + -1) - (sqrt(56)\/(sqrt(8)*-1) + -4 + 1 + sqrt(7) + sqrt(7)))**2 + -2.\nAnswer: 20*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80, -223, -428, -695, -1024, -1415?\n\"Answer: -31*j**2 - 50*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - 9) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 9. Let x = 12 - -51. Suppose 64*k + 4 = x*k. Let m(j) = -j + 1. Determine k*m(u) - t(u).\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Let m be f\/(-2)*12\/10. Suppose 24 = m*s + 5*r, -5*s - r + 9 = -3*r. Solve s*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - -5) + 2 + -2. Let z(w) = -n*w - w + 2*w. Calculate z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13760)\/(-9216) + (-5)\/(540\/168)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 6*m**3 + 2*m**2 - 5*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Let y(x) = x**2 - 6*x + 7. Let u be y(j). Suppose -b + 8 = v, u*b + 5*v - 1 = -0. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2\/21 (c) 5 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1368435*d**5*k + 89*d**2*k + 63*d**2 + 36 wrt d?\nAnswer: 82106100*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253 + 394. Let f = 141.2 - l. What is the third biggest value in 2, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(66)\/sqrt(6)) + sqrt(11) - sqrt(11)))**2 + -2 + (5 + sqrt(11)*-3 - sqrt(11)).\nAnswer: -4*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19)*1*6 - sqrt(19)))**2 - ((sqrt(95)\/sqrt(5))**2 + -1).\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c + 12. Suppose -11 = -s - c. Suppose 5*h + 5*k - 30 = 0, s*h - 2*k - 13 = 2*h. Sort h, -5, -1 in increasing order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o + 36339 = -11*o + 317587. What are the prime factors of o?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-32 - -6)) + 4 + (-8 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401795, -401755, -401715, -401675?\nAnswer: -401635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 7*r**2 - 4*r + 17*r**2 - 12*r**2.\nAnswer: -2*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192\/6 + (-6)\/9 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -13145. What is m rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r + 2558 + 65*r + 2562 - 128*r + 2568 - 7688.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20169 and -85\/28155924.\nAnswer: 28155924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224672 divided by 68.\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 6. Let p be x(-4). What is the units digit of p\/6*12\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, -7\/5, 18\/61, 3\/7, 5 in increasing order.\nAnswer: -21, -7\/5, 18\/61, 3\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + 2 + 8)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3379, -6618, -9857?\n\"Answer: -3239*y - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-8)*(224\/280 + (32\/(-40) - -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0417 + -0.1417. Let z be -1*6\/21 + 0\/1. Sort 3, -1, z, r in increasing order.\nAnswer: -1, z, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"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 12102 (base 3) in base 7?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -1318004?\nAnswer: 1318003.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(sqrt(1573) + (sqrt(1573) + 4*sqrt(1573)*5 - sqrt(1573)))**2.\nAnswer: 8324316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 0.3, 0.1, 1, 145.046?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3153858 divided by 3153858\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*g + 66 = -30, 2*k - 91 = -3*g. Suppose -6*w = 41 - k. Which is the closest to 0? (a) -6 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f - f - 4*f)*(0 + 2 - 1) - f + 1 - 1)*(4978 - 4978 - 57*f**2 + (2 - 5 + 1)*(0*f**2 + 3*f**2 - 4*f**2) + f + 2*f**2 - f).\nAnswer: 159*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9872041g to kilograms.\nAnswer: 0.0009872041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168*n**2 + 7*n - 276 + 76*n**2 - 7*n - 67*n**2 wrt n.\nAnswer: 354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60369745 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5*v**3\/6 + v - 144. Let n(f) = 2*f**2. Let c(l) = -l**2. Let p(g) = 5*c(g) + 6*n(g). Calculate p(q(h)).\nAnswer: 175*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 13*z**2 - 73*z + 9. Is t(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7418.202 to the nearest 10.\nAnswer: -7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a + -31a?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(108) - sqrt(3)).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 + 9*t + 3. Let z be y(9). Solve 0 = -z*c + 9 + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -0.5 (c) 168.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3002.75 + 11\nAnswer: 3013.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/((-1)\/(-75)). Suppose -o + a = 1. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234 * -84.2\nAnswer: 19702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 75. Let g(c) = 5725*c + 6. What is k(g(x))?\nAnswer: 22900*x + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-2)\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 17*v**2 + 24*v - 9. Determine o(16).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 13*b**2 - 43*b + 464. Determine x(10).\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0 + 2*n - 1)*(1 - 3 + 4 - 5 + 5 + 3 + (4 - 2 - 3)*(1 - 5 + 2)).\nAnswer: 14*n - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*g**3*s - 29*g**2*s**2 - 213155*g*s**2 wrt g?\nAnswer: -1050*g*s - 58*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by 267?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 9\/7, 1\/8 in decreasing order.\nAnswer: 4\/3, 9\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 - 3))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*l - 325. Let n be 2\/(-4) - 925\/l. Suppose 5*f - 15 = 0, -f = -0*y + 4*y - 47. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65845, 73441, 86101, 103825?\n\"Answer: 2532*r**2 + 63313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + 19 + -12 + 24 + 37 + -19.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12598939+-3\nAnswer: -12598942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*r. Suppose 14*f + 0*f + 84 = r. Find the common denominator of (678\/(-280) - f\/(-15)) + 2 and -47\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -295 - 150. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/2)\/o*o)\/(o*o\/(o*(o**(-13\/5)\/o)\/o)))\/(o*o**7)**(-33))**(16\/5) assuming o is positive.\nAnswer: o**(20792\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f + 3. Let d be a(3). Let j be 3*(-4 + 5) + 14. Suppose -3 = 4*v + j. Sort v, 4, d in descending order.\nAnswer: 4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -625.6 (b) -3 (c) -422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18.53*-221\nAnswer: -4095.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/8 + 1073*k**2\/8 + 1079*k + 2162 = 0?\nAnswer: -4, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose l*o - 13 = -1. Is o > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otg when three letters picked without replacement from ggfprtffgoroot.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1665*h**3 + 4*h**2 + 72*h?\nAnswer: 9990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7 = 5. Let o(i) = 3*i. Let b(d) = -4 + 4 + 7*d. Let c(t) = k*b(t) - 10*o(t). Let j(h) = h. What is j(c(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 31*y**2 - 110*y - 153. Calculate g(27).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + 0*x**2)*(-50 + 50 - 42*x**2) + 5*x - 5*x - 2*x**4.\nAnswer: 124*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.2 (b) -0.005 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 166504204?\nAnswer: 166504166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63301792 + 43803792. What is o rounded to the nearest one hundred thousand?\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.1 and 16437.\nAnswer: 215324.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-51 - 109) + 73?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.276 - 0.276. Which is the nearest to 30? (a) 3 (b) 4 (c) k (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*f - 22 + 2 + 22 + (-2*f + f + 3*f)*(-1 + 2 - 3).\nAnswer: 23*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 3\/2 (c) -17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.12 and -251.\nAnswer: -7058.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**7*t**(6\/11)*t assuming t is positive.\nAnswer: t**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:12 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*26\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 - 22 = 0. Suppose -2*v + u*g = -93 - 245, -2*g = -8. Is 55 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -2*v, -2*v = -k + 32. Calculate the remainder when 143\/4 - 21\/k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + ((-20)\/(-4) - -5). Let s(p) = 3*p**3 - 20*p**2 + 5*p + 2. Does 5 divide s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 < 3088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*i**3 - 2*i + 16 + 52*i - 16.\nAnswer: 215*i**3 + 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17230522 (base 8) to base 3\nAnswer: 21112202010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let z(o) = -13656643*o**2. Calculate z(l(s)).\nAnswer: -13656643*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 6*k + 39. Calculate the smallest common multiple of k and 63.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - 4*c**3 + 5*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*(6 - 22\/4)*4\/(-158)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1 + (-10)\/(-8)). Let a(i) be the first derivative of i**4\/4 - 11*i**3\/3 - 7*i**2 + 37*i - 38. Let l be a(12). Sort 1, -5, k, l in decreasing order.\nAnswer: l, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25792 divided by 5\nAnswer: 25792\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:12 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iggriicrggogcccg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 2*f**4 + f**4)*(2 + 0 - 3)*((3 - 1 - 3)*(-3*f + f + f) + (0 + 2 - 4)*(2 - f - 2) - 3*f + 4*f - 2*f + 2*f - 1 + 1 - 107 + 107 - 175*f).\nAnswer: 171*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - 4) + -5 + 3 - -38.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42854659.\nAnswer: 269, 159311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.97 - -0.03. What is the nearest to f in 1, 0.1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*p + 17, 0 = 5*u - 5*p + 8 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.393193 decades?\nAnswer: 47.18316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 3. Let r be (w*-3)\/((-135)\/(-18)). Let q be (6\/8)\/(1 - 4). Which is the smallest value? (a) q (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -4, -2\/3, -6, -26444, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44018 (base 10) in base 12?\nAnswer: -21582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let h(u) = -4*u - 3. Let g(c) be the first derivative of -c**2\/2 - c - 1. Let l(q) = n*h(q) + 5*g(q). Differentiate l(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1001 + 1160. What is the remainder when j is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*v - 38. Let m = -1 + v. Let a(w) = 4*w**2 + 32*w + 8. What is the lowest common multiple of a(-8) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48746.2611 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -904, -1355, -1806, -2257, -2708?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306559, -306534, -306509, -306484?\nAnswer: -306459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-8))\/(3\/12). Put z, -4, 2 in decreasing order.\nAnswer: z, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16825.01 + -16825. What is the second smallest value in -1\/2, b, -0.44, -3, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f + 87. Suppose 17*a = 13*a + 48. What is the units digit of m(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(63)*1.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7359071?\nAnswer: 457, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*h - 2045 + 119 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511121 (base 6) in base 14?\nAnswer: 23a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 3\/2 (c) -2 (d) 0 (e) 40 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 42*y = 14*y - 1653 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 9*v**2 + 4*v + 4. Let n(s) = -s**2 - s - 1. What is -m(i) - 4*n(i)?\nAnswer: 3*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1651 divide 135246618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.61 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(28)\/((sqrt(200)\/sqrt(5))\/sqrt(10)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 8, s: 5}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -5, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*o - 65. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 80573.\nAnswer: -80573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8374.\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 156.14727 months?\nAnswer: 0.0130122725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392\/13 + 6511\/156. What is the common denominator of 79\/4 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 15, -g = s - 3*s + 7. Suppose -13 = 2*y - g. What is the biggest value in 0, y, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129.6 + -128.6. Suppose -204 = m - 5*f, -4*m - 2*f - 364 = 408. Let o = m + 1360\/7. What is the third biggest value in q, 2, o, -9\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**23)\/(b\/(b\/(b**(-20)*b))) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*10\/(-4))\/(54\/(-54)). Suppose 2*p - t*p = -429. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286\/87 - -105\/29. Which is the closest to -0.1? (a) z (b) -20.55 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -126. Let m = 94 + k. Suppose -4*d + 112 = 32. Calculate the remainder when m is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let y(k) = -2*k + 2. Let n be y(-7). Let f(p) = -13 + 13 - n*p. What is g(f(l))?\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*k, 0 = -c - c + 3*k + 3. Suppose -s - 3*s = -16. Solve c*v = y - 8, -2*y + s = -y - 2*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -484*l**2. Let a(h) = -10*h - 40. Let g(v) = -12*v - 60. Let c(d) = 3*a(d) - 2*g(d). Give c(y(s)).\nAnswer: 2904*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3811192 to the nearest 10000.\nAnswer: 3810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -293*g + 12. Let x(u) = -u - 13. Let b be x(-8). Is r(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*h + 4 - 9 = 0, 25 = 5*h. Let s be 1 - -2 - 15\/v. Let l be (-1 - -2)*7 - 18\/s. Are 1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1 (c) -0.4 (d) -6.3 (e) -200 (f) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 3 (c) -47 (d) 4 (e) 0.2 (f) -4 (g) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 35819?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 4948*z**2 + 5371*z**2 - 10304*z**2 + 3*z)*(0*z + 2*z - z).\nAnswer: 15*z**3 + 3*z**2 + 31*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}